PLZZ HELPP WILL GIVE 100 POINTS Which ordered pairs are solutions to the inequality −2x+y≥−4? Select each correct answer. (0, −5) (1, −2) (3, −1) (0, 1) (−1, 1)

Answers

Answer 1

Answer:

(1, −2)  (0, 1) (−1, 1)

Step-by-step explanation:

−2x+y≥−4

Substitute the points into the inequality and see if it is true

(0, −5)

-2(0) + -5 ≥−4

0-5 ≥−4

-5≥−4

False  not a solution

(1, −2)

-2(1) -2 ≥−4

-2-2 ≥−4

-4≥−4

True    it is a solution

(3, −1)

-2(3) -1 ≥−4

-6 -1 ≥−4

-7 ≥−4

False, not a solution

(0, 1)

-2(0) +1 ≥−4

0+1 ≥−4

1 ≥−4

True it is a solution

(−1, 1)

-2(-1) +1≥−4

2+1≥−4

3≥−4

True it is a solution

Answer 2

Answer:

(1.-2)

(0.1)

(-1,.-1)

Step-by-step explanation:

To solve this we have to plug in each point to see which one would work.

Inequality: -2x + y >= -4

First let's plugin (0,-5):

-2x + y >= -4

-2(0) + (-5) >= -4

0 - 5 >= -4

-5 >= -4 is wrong.

Now let's plugin (1,-2)

-2x + y >= -4

-2(1) + (-2) >= -4

-2 - 2 >= -4

-4 >= -4 is correct

Now let's plugin (3,-1):

-2x + y >= -4

-2(3) + (-1) >= -4

-6 - 1 >= -4

-7 >= -4 is wrong

Now let's plugin (0,1):

-2x + y >= -4

-2(0) + (1) >= -4

0 + 1 >= -4

1 >= -4 is correct

Now let's plugin (-1,1):

-2x + y >= -4

-2(-1) + (1) >= -4

2 + 1 >= -4

3 >= -4 is correct

Would appreciate if you gave me brainliest :)


Related Questions

in a certain town there are 30000 registered voters, of whom 12000 are Democrats. A survey organization is about to take a simple random sample of 1000 registered voters. a) the expected value for the percentage of Democrats in the sample is

Answers

Answer:

400.

Step-by-step explanation:

The following data were obtained from the question:

Total number of Registered voters = 30000

Total number of Democrats = 12000

Next, we shall determine the percentage of Democrats in the registered voters.

This can be obtained as follow:

Percentage of Democrats = number of Democrats / Total number of registered voters x 100

Percentage of Democrats = 12000/30000 x 100

Percentage of Democrats = 40%

Now, we can obtain the expected value of percentage of Democrats in the 1000 sample as follow:

Percentage of Democrats = 40%

Total number of Sample = 1000

Number of Democrats in the sampl=..?

Percentage of Democrats = number of Democrats in sample / Total number of sample x 100

40% = number of Democrats in sample/1000

Cross multiply

Number of Democrats in sample

= 40% x 1000

= 40/100 x 1000

= 400

Therefore, the expected number of Democrats in the sample is 400.

Heyy umm I need help

Answers

Answers

B, D and E are proportional

A, C, and F are not proportional

y = 3+x .... not proportional

y = 1.6x .... proportional

y = 3/(4x) .... not proportional

y = x .... proportional

y = 12x .... proportional

y = 2x+1 ... not proportional

=================================================

Explanations:

Anything in the form y = k*x is a direct proportional equation. As x goes up, so does y. The same happens if x decreases, and we'll have y also decrease. They go up together or down together. This is where the "direct" comes from. Specifically they change the same amount each time (hence the term "proportional").

For something like y = 1.6x, we have k = 1.6

In the equation y = x, we have y = 1x in reality so k = 1 here.

Lastly, y = 12x has k = 12.

----------------------

The other equations are not in the form y = kx. Whenever we have y = mx+b, with b nonzero, then y = mx+b is not proportional. The value of b must be 0 for it to fit y = kx form. This rules out y = 2x+1 and y = 3+x or y = x+3.

The equation y = 3/(4x) is an inversely proportional equation in the form y = k/x. It cannot be written as y = kx. Note how x is in the denominator for y = 3/(4x) while the same can't be said for y = kx. Inversely proportional equations have x increase and y decrease, or vice versa. They go in opposite directions.

The base of a regular pyramid is a hexagon.

Answers

If you think about it, a hexagon can be cut into 6 equilateral triangles. Because of this, all you need to do is find the area of one triangle and multiply it by 6. Since the side length of one triangle is 12, we know that is the base. Since the triangles that are created when cutting the equilateral triangle in half are both 30 60 90, the height must be 6(3)^1/3. We can then multiply 12 • 6 radical 3 •1/2 to get 36 radical 3. Multiply this by 6 and get 216 radical 3 units squared.

please help :) Choose the expression that is equivalent to the expression: 2 x 2 x 2 x 2 A. 2 x 4 B. 4 to the 2 power C. 2 to the 4 power D. 2 x 2 x 2 x 2 x 4

Answers

Answer:

C. 2 to the 4'th power

Step-by-step explanation:

2x2x2x2 is 4 2's, the number of 2's indicates the power, so the answer would be 2 to the power of 4 because there are 4 2's

Hope this helps, If you have any questions, feel free to ask.

Have a good day! :)

Answer:

C 2 to the power of 4

Step-by-step explanation:

There are 2*2*2*2* 4 of the 2 so 2 to the power of 4

∫1/(1+sinx^2 +2cos^2x)

Answers

Answer:

Im not sure, is this correct?

What is the answer to 2+2 * 89 - 63 + 70

Answers

Answer:

187

Step-by-step explanation:

2*89=178

178+2=180

180-63=117

117+70=187

Answer:

47

Step-by-step explanation:

You'd have to follow PEMDAS.

First we multiply:

89*2=178.

Now we add:

178+2=180

AND

63+70=133.

Finally, we subtract:

180-133=47.

Hope this helps!! <3

PLZ HELP. Will give brainliest if answered correctly with explanation.

Answers

Answer:

90 degrees

Step-by-step explanation:

given:

ABCD~EFGH

mB=mBCD=90

mBAD=128

find mFGH

this means that we are looking for angle G, and it is given that G is equal to C. it is also given that C is equal to B in mB=mBCD. finally, it is given that mB and mBCD, which are both equal, are 90 degrees. this means that mC is 90 degrees, and since mC is equal to mG, mG is equal to 90 degrees

Find the indicated functional value for the ceiling function: f(1.5)?

Answers

Answer:

The correct answer is 2

Step-by-step explanation:

The ceiling function is a python programming function that rounds a decimal point number to the nearest whole number.

Given the function expression  f(1.5), the ceiling function will round 1.5 to the nearest whole number which is 2

IMAGE BELOW The equations x minus 2 y = 4, 4 x + 5 y = 8, 6 x minus 5 y = 15, and x + 2 y = 0 are shown on the graph below.

Which system of equations has a solution of approximately (1.8, –0.9)?
6 x minus 5 y = 15 and x + 2 y = 0
4 x + 5 y = 8 and 6 x minus 5 y = 15
x minus 2 y = 4 and 4 x + 5 y = 8
6 x minus 5 y = 15 and x minus 2 y = 4

Answers

Answer:

6x - 5y = 15 and x + 2y = 0

Step-by-step explanation:

Here we are given the following equations:

i) x-2y= 4

ii) 4x+5y= 8

iii) 6x-5y=15

iv) x+2y=0

Required:

Which system of equations has a solution of approximately (1.8, –0.9).

To find the approximate equations, substitute x and y for  1.8 and  -0.9 into all the equations respectively and check the resulting values

i) Substitute (1.8, -0.9) in x-2y= 4:

1.8 - 2(-0.9) = 4.

1.8 + 1.8 = 4.

3.6 ≠ 4.

ii) Substitute (1.8, -0.9) in 4x+5y= 8

4(1.8) + 5(-0.9) = 8

7.2 - 4.5 = 8.

2.7 ≠ 8.

iii) Substitute (1.8, -0.9) in 6x-5y=15

6(1.8) - 5(-0.9) = 15.

10.8 + 4.5 = 15

15.3 ≠ 15.

This equation has a solution that is close, therefore it is correct.

iv) Substitute (1.8, -0.9) in x+2y=0

1.8 + 2(-0.9) = 0.

1.8 - 1.8 = 0.

0 = 0.

x + 2 y = 0 has the exact value, therefore it is also correct.

The system of equations that has a solution of approximately (1.8, –0.9) are:

x+2y=0 and 6x-5y=15

Answer:

the correct answer is A

Step-by-step explanation:

What the answer question

Answers

its b the answer is b

Answer:

the answer on the B

Step-by-step explanation:

griffin ordered a pair of sneakers online. he had 16 credit that he applied toward the purchase, and then he used a credit card to pay for the rest of the cost. if the the shoes cost 80, then how much did griffin charge to his credit card when he bought the sneakers? PLEASE ANSWER I BEG Y'ALL

Answers

Answer: Griffin charge $79.854 to his credit card when he bought the sneakers.

Step-by-step explanation:

Griffin ordered a pair of sneakers online.

Value of each credit point = 1 cent

Then , value of 16 credit points = 16 cents = $0.16 [1$ = 100 cents]

Cost of shoes = Rs $80

Charge to credit card = (Cost of shoes) - (Value of 16 credit points)

= $(80-0.16)

= $79.84

Hence, Griffin charge $79.854 to his credit card when he bought the sneakers.

if a right triangle has one side measuring 3√2 and another side measuring 2√3, what is the length of the hypotenuse?

Answers

Answer:

[tex] \sqrt{30} [/tex]

Step-by-step explanation:

Given,

Perpendicular ( p ) = 32

Base ( b ) = 23

Hypotenuse ( h ) = ?

Now, let's find the length of the hypotenuse:

Using Pythagoras theorem:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

plug the values

[tex] {h}^{2} = {(3 \sqrt{2} )}^{2} + {(2 \sqrt{3} )}^{2} [/tex]

To raise a product to a power, raise each factor to that power

[tex] {h}^{2} = 9 \times 2 + 4 \times 3[/tex]

Multiply the numbers

[tex] {h}^{2} = 18 + 12[/tex]

Add the numbers

[tex] {h }^{2} = 30[/tex]

Take the square root of both sides of the equation

[tex]h = \sqrt{30} [/tex]

Hope this helps...

Best regards!!

[tex]\small\star\underline\bold\red{Given-}[/tex]

Sides of the right triangle

2√3 (p)3√2 (b)

[tex]\small\star\underline\bold\red{To\:Find-}[/tex]

Third side (hypotenuse)

[tex]\small\star\underline\bold\red{Solution-}[/tex]

By Pythagoras Theorum ,

[tex]\small\fcolorbox{red}{white}{h² = b² + p² }[/tex]

[tex]\implies[/tex] h² = (2√3)² + (3√2)²

[tex]\implies[/tex] h² = 12 + 18

[tex]\implies[/tex] h² = 30

[tex]\implies[/tex] h = √30

X^4 -33x^2-108 which of the following is equal to the polynomial given above? A. (X+36)(x+v3i)(x-3) B. (X-36)(x+v3i)(x+3)

Answers

Answer:

Answer D I believe :)

Step-by-step explanation:

x^4-33x^2-108

rewrite as a difference

x^4+3x^2-36x^2-108

factor out x^2

x^2(x^2+3)-36x^2-108

factor out -36

x^2(x^2+3)-36(x^2+3)

factor out x^2+3

(x^2+3)(x^2-36)

factor x^2-36

(x^2+3)(x-6)(x+6)

set x^2+3 equal to 0

x^2+3=0

solve for x

x=+/-[tex]\sqrt{3}[/tex]i

set at factors

(x+6)(x-6)(x+[tex]\sqrt{3}[/tex]i)(x-[tex]\sqrt{3}[/tex]i)

I hope this helps.

In a scale drawing of a rectangular deck, the
length is 10 inches and the width is 8 inches. In
the drawing, 4 inches represents 3 yards. What
is the length of the actual deck, in yards?​

Answers

Answer:

45

Step-by-step explanation:

10/4x3=7.5

8/4x3=6

6x7.5=45yards

It takes 32 minutes for 3 people to paint 4 walls. How many minutes does it take 4 people to paint 7 walls?

Answers

Answer:

Step-by-step explanation:

Assuming each person gets the same amount of work done, each wall in the first scenario takes 8 minutes to paint. If 3 people paint 4 walls, then each person is painting 1 1/3 of a wall. We can use that to find out how long it takes one person to paint 1 1/3 walls:

[tex]\frac{8min}{wall}*\frac{4}{3}walls=\frac{32}{3}min[/tex]. Interpreting that, it takes each person 10 2/3 minutes to paint 1 1/3 walls.

If 4 people paint 7 walls, that means that each person is painting 7/4 walls, or 1.75 walls each. Using the fact that it takes 10.66666 minutes to paint 1.33333 walls, we can find out how many minutes it will take to paint 1.75 walls:

[tex]\frac{10.6666}{1.33333}=\frac{x}{1.75}[/tex] Cross multiply to get

18.666655 = 1.3333x so

x = 14.000 minutes

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

the trig function you would use to find x would be cosine becuase its adjacent/ hypotenuse.

solving it would give you 49 becuase its cosine(x)=13/20 and you have to multiply by the inverse of cosine

to solve for y you would use sine of y which would be opposite/ hypotenuse = 13/20

Someone can u help please! Thx

Answers

Answer:  D. 2r^2

======================================================

Explanation:

The radius of the circle is r, which doubles to 2r to get the diameter. The diameter of the circle is also the diagonal of the square. Consequently, this means we have two right triangles in which they have the same hypotenuse of 2r.

Let x be the side length of the square. Use the pythagorean theorem to isolate x

a^2 + b^2 = c^2

x^2 + x^2 = (2r)^2

2x^2 = 4r^2

x^2 = 2r^2 ... divide both sides by 2

x = sqrt(2r^2) ... apply the square root to both sides; keep in mind that x > 0

x = sqrt(r^2*2)

x = sqrt(r^2)*sqrt(2)

x = r*sqrt(2)

The side length of the square is r*sqrt(2)

Therefore, the area of the square is

Area = (side)*(side)

Area = ( r*sqrt(2) )*( r*sqrt(2) )

Area = r*r * sqrt(2)*sqrt(2)

Area = r^2 * sqrt(2*2)

Area = r^2 * sqrt(4)

Area = r^2 * 2

Area = 2r^2

This is the graph of y = sin(x). Does anyone know the second part?

Answers

Answer:

The resulting graph is [tex]y = 5\cdot \sin x[/tex].

Step-by-step explanation:

The resulting function is of the form:

[tex]y = A\cdot \sin x + k[/tex]

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]A[/tex] - Amplitude, dimensionless.

[tex]k[/tex] - Midpoint value, dimensionless.

The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is: [tex]A > 0[/tex]. According to the graph, the function is bounded between 5 ([tex]y_{max}[/tex]) and -5 ([tex]y_{min}[/tex]), and the midpoint value ([tex]k[/tex]) is 0. The amplitude is determined by the following calculation:

[tex]A = \frac{y_{max}-y_{min}}{2}[/tex]

If [tex]y_{min} = -5[/tex] and [tex]y_{max} = 5[/tex], then:

[tex]A = 5[/tex]

The resulting graph is [tex]y = 5\cdot \sin x[/tex].

Answers for whole assignment:

(starting after this question)

2) graph 2

3) Minimum: -4

Maximum: 4

Amplitude: 4

zeros: 2nd and 3rd option

4) 2nd graph

5) range of y = sin(x)?

1st one

range of y = 3sin(x)?

2nd one

range of y = –3sin(x)?

2nd one  

range of y = –3sin(x) – 2?

3rd one

6) graph 1

7) graph 3

8) amplitude = 2

midline y = 4

3rd option

9) 2nd option

10) The graph of y = –2sin(x) – 1 is the graph of the parent function stretched vertically by a factor of 2, reflected over the x-axis, and shifted 1 unit down.  The maximum of the parent function is 1, the minimum is –1, and the amplitude is 1.  The maximum of y = –2sin(x) – 1  is 1, the minimum is –3, and the amplitude is 2.

What is the value of a for the exponential function in the
graph represented in the form of f(x) = a(b)?
O -4
O -3
O 3
O 4

Answers

Answer:

Option (4)

Step-by-step explanation:

If the given exponential function is in the form of f(x) = [tex]a(b)^x[/tex]

From the graph we find that two points (0, 3) and (0.5, 6) lie on the graph.

For (0, 3),

f(0) = [tex]a(b)^0[/tex]

3 = a

For (0.5, 6),

f(0.5) = [tex]3(b)^{0.5}[/tex]

6 = [tex]3\sqrt{b}[/tex]

[tex]\sqrt{b}=2[/tex]

b = 4

Therefore, value of b in the given function 'f' is 4.

Option (4) will be the answer.

Answer:

(D) 4

Step-by-step explanation:

♥☺

The tee for the fourth hole on a golf course is 300 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.




A. 195.4 yd


B. 123.7 yd


C. 97.5 yd


D. 105.1 yd

Answers

Answer:

97.5

Step-by-step explanation:

can someone please help ​

Answers

Answer:

C

Step-by-step explanation:

The dependent variable is always graphed on the y-axis and the independent variable is always graphed on the x-axis. Therefore, the dependent and independent variables are total price ($) and number of boxes respectively which makes the answer C.

Answer:

C. The total price depends on the number of boxes.

Step-by-step explanation:

In a graph, the x-variable is the independent variable; it is what you can change.

The y-variable is the dependent variable; its value depends on the value of the x-variable.

In this case, the y-variable is the total price of cupcakes, which depends on the x-variable, the number of boxes. C is your answer.

Hope this helps!

Factor 1
Which expression is the factored form of
x2 - 7x + 10?
+x
-X
42
-
+
0 (x+3)(x + 4)
o (x - 3)(x - 4)
(x-2)(x - 5)
(x + 2)(x + 5)
ON
-
+
+
-X
Factor
+
+
-
+
+
LY
+
+
-
+
+
Reset
Intro
ODNO

Answers

Answer:

          (x - 2)(x - 5)    

Step-by-step explanation:

[tex]x^2 - 7x + 10=\\\\=x^2 - 5x -2x + 10=\\\\=x(x-5)-2(x-5)=\\\\=(x-5)(x-2)[/tex]

Answer:

[tex]\boxed{(x-2)(x-5)}[/tex]

Step-by-step explanation:

=> [tex]x^2-7x+10[/tex]

Using mid-term break formula

=> [tex]x^2-5x-2x+10[/tex]

=> x(x-5)-2(x-5)

Taking (x-5) as common

=> (x-2)(x-5)

The vertices of triangle ABC are A(5,2), B(-1,-6), and C(1,5). If triangle DEF is similar to triangle ABC and AB/DE = 5, which could be the coordinates of D and E

Answers

Answer:

im pretty sure its the third one

Step-by-step explanation:

i guessed but it might be right

Which best describes the relationship between the lines with equations 5x +y = 4 and 20.0 + 4y = 16?

Answers

Answer:

There is no relationship, except they do intersect at the point (1, -1). Hope this helps :)

Brainliest?

Both given lines are going to intersect at ( 1,-1 ) that's it.

What is a line segment?

A line section that can connect two places is referred to as a segment.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

Given that

Line 1 ; 5x +y = 4

Line 2 ;  20 + 4y = 16 ⇒ y = -1

At  y = -1  the first line is

5x  - 1  =  4 ⇒ x = 1

So,

It is clear that line 1 has a point ( 1 .-1 ) and line 2 also passes

through it hence there will an intersection.

For more about line segment

https://brainly.com/question/25727583

#SPJ5

Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, or 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step?

Answers

Answer:

He should use the negative 1 unit tile.

Step-by-step explanation:

He should do this because in this equation you wish to isolate the variable on one side, and it would be better to first take away any constants. Afterwards, the variable would be next.

Answer:  It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x. Adding the x-tiles and then the unit tile, or visa versa, will give the same solution.\

Explanation: that's what i put and i got it right

PLZZZZZ MARK ME BRAINIEST

solve it using quadratic formula.


grade 9
10 points​

Answers

Answer:

{-1/4, 1}{3/4, 6}

Step-by-step explanation:

1. We can clear fractions and solve the resulting quadratic. We clear fractions by multiplying the equation by the product of the denominators.

  [tex]\dfrac{2x+1}{2x-1}-\dfrac{2x-1}{2x+1}=\dfrac{8}{3}\\\\3((2x+1)^2-(2x-1)^2)=8(2x-1)(2x+1)\\\\3(8x) = 8(4x^2 -1)\\\\4x^2 -3x -1 = 0\qquad\text{factor out 8, subtract 3x}\\\\x=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(4)(-1)}}{2(4)}=\dfrac{3\pm\sqrt{25}}{8}\\\\x=\dfrac{3\pm5}{8}=\left\{-\dfrac{1}{4},1\right\}[/tex]

__

2. Using the same idea here, we get ...

  [tex]\dfrac{2}{x-2}+\dfrac{3}{x}=\dfrac{9}{x+3}\\\\2(x)(x+3)+3(x-2)(x+3)=9(x-2)(x)\\\\2x^2+6x+3(x^2+x-6)=9x^2-18x\\\\4x^2-27x+18=0\\\\x=\dfrac{-(-27)\pm\sqrt{(-27)^2-4(4)(18)}}{2(4)}=\dfrac{27\pm\sqrt{441}}{8}\\\\x=\dfrac{27\pm21}{8}=\left\{\dfrac{3}{4},6\right\}[/tex]

Use the elimination method to solve the system of equations.
3x + 4y = 8
x-y=12
O A. (8,4)
O B. (-4,8)
C. (0,2)
O D. (8,-4)

Answers

Answer:

Option D. (8, – 4)

Step-by-step explanation:

3x + 4y = 8 ..... (1)

x – y = 12.... (2)

To solve the above equation by elimination method, do the following:

Step 1:

Multiply equation 1 by the coefficient of x in equation 2 i.e 1.

Multiply equation 2 by the coefficient of x in equation 1 i.e 3. This is illustrated below:

1 × Equation 1

1 × (3x + 4y = 8)

3x + 4y = 8 ...... (3)

3 × Equation 2

3 × ( x – y = 12)

3x – 3y = 36......(4)

Step 2:

Subtract equation 3 from equation 4. This is illustrated below:

. 3x – 3y = 36

– (3x + 4y = 8)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

– 7y = 28

Divide both side by the coefficient of y i.e –7

y = 28/–7

y = – 4

Step 3:

Substitute the value of y into any of the equation to obtain the value of x. In this case, we shall substitute the value of y into equation 2 as shown below:

x – y = 12

y = –4

x – (–4) = 12

x + 4 = 12

x = 12 – 4

x = 8

Therefore, the solution to the equation above is (8, – 4)

Answer:

(8, – 4)

Step-by-step explanation:

my math teacher told me

Which situation best describes negative correlation? a. The amount of job experience and pay b. Salary and number of children c. Exercise and health d. Hours of TV viewing and test grades

Answers

Answer: D

Step-by-step explanation:

D makes a lot more sense because if you are someone who watches TV a lot then your more likely to score less on a given test.

Negative correlation means that as the x values increases the y value decrease.

So in this case hours will be on the x coordinate and y will be your test score.

Dan believes he can use the information given in the diagram and the SAS rule to prove the two triangles are congruent. Is he correct? Explain.

Answers

Answer:

Yes. There are two pairs of congruent sides and a pair of congruent angles. This follows the SAS rule.

The hardcover version of a book sells for 15 dollars and the paperback sells for 11.50. If a store sells 70 copies of the book in one month and charges 917 dollars how many hardcover versions were sold

Answers

Answer: 32 copies of hardcover version.

Step-by-step explanation: Suppose the quantity of hardcover version copies sold is H and the paperback copies is P.

1) A store sells a total of 70 copies:

H + P = 70

2) One hardcover is sold for $15 and one paperback for $11.50. In one month was charged $917:

15H + 11.5P = 917

Solving the system of equations:

H + P = 70 (I)

15H + 11.5P = 917 (II)

Since it is asked for the hardcover version, find H.

Multiply equation (I) by -11.5:

-11.5H - 11.5P = - 805 (III)

Add (II) and (III):

-11.5H - 11.5P = - 805

  15H + 11.5P = 917

  3.5H            = 112

H = 32

In one month, it was sold 32 hardcover version of a book.

 

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