Select the graph that would represent the best presentation of the solution set for Ixl <5.

Answer:

The answer is option C

Let the number to found be x

half a number = x/2

'and' in the expression means addition

sum of half a number and four is negative 7 is

x/2 + 4 = - 7

Hope this helps

Answer:

oki

Step-by-step explanation:

what do you need help with? :)

Answer and Step-by-step explanation:

Answer:

The coordinates of C are (5 , 2)

The slope of CD is 3

The coordinates of D are (6 , 5) and (4 , -1)

Step-by-step explanation:

* Now lets study the problem

- The ends points of line AB are A = 2 , 3) and B = (8 , 1)

- CD is the perpendicular bisector of AB, and C lies on AB

- That means:

# C is the mid-point of AB

# The slope of AB × the slope of CD = -1 (one of them is a multiplicative

 inverse and additive inverse of the other)

-Ex: the slope of one is a/b, then the slope of the other is -b/a

* The mid-point between two points (x1 , y1) and (x2 , y2) is:

 [(x1 + x2)/2 , (y1 + y2)/2]

∵ C is the mid-point of AB

∴ C = [(2 + 8)/2 , (3 + 1)/2] = [10/2 , 4/2] = (5 , 2)

* The coordinates of C are (5 , 2)

- The slope of a line passing through points (x1 , y1) and (x2 , y2) is:

the slope = (y2 - y1)/(x2 - x1)

∴ The slope of AB = (1 - 3)/(8 -2) = -2/6 = -1/3

∵ CD ⊥ AB

∴ The slope of CD × the slope of AB = -1

∴ The slope of CD = 3

* The slope of CD is 3

- The length of a line passing through points (x1 , y1) and (x2 , y2) is:

the length = √[(x2 - x1)² + (y2 - y1)²]

∵ The length of CD = √10

∵ Point D is (x , y)

∴ (x - 5)² + (y - 2)² = (√10)²

∴ (x - 5)² + (y - 2)² = 10 ⇒ (1)

∵ The slope of CD is (y - 2)/(x - 5) = 3 ⇒ by using cross multiply

∴ (y - 2) = 3(x - 5) ⇒ (2)

- Substitute (2) in (1)

∴ (x - 5)² + [3(x - 5)]² = 10 ⇒ simplify

* [3(x - 5)]² = (3)²(x - 5)² = 9(x - 5)²

∴ (x - 5)² + 9(x - 5)² = 10 ⇒ add the like terms

∴ 10(x - 5)² = 10 ⇒ ÷ 10 both sides

∴ (x - 5)² = 1 ⇒ take √ for both sides

∴ x - 5 = ± 1

∴ x - 5 = 1 ⇒ add 5 to both sides

∴ x = 6

* OR

∴ x - 5 = -1 ⇒ add 5 to both sides

∴ x = 4

- Substitute the values of x in (2)

∴ y - 2 = 3(6 - 5)

∴ y - 2 = 3 ⇒ add 2

∴ y = 5

* OR

∴ y - 2 = 3(4 - 5)

∴ y - 2 = -3 ⇒ add 2

∴ y = -1

* The coordinates of D are (6 , 5) and (4 , -1)

Answer:

see explanation

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal

(a)

[tex]\frac{xPR}{XZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values

[tex]\frac{6.5}{XZ}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )

7.2XZ = 117 ( divide both sides by 7.2 )

XZ = 16.25 cm

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

(b)

[tex]\frac{QR}{YZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values

[tex]\frac{QR}{17}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )

18QR = 122.4 ( divide both sides by 18 )

QR = 6.8 cm

Answer:

92

Step-by-step explanation:

Answer:

[tex] \boxed{\sf P = \frac{2Z}{s} - p} [/tex]

Step-by-step explanation:

[tex]\sf Solve \ for \ P: \\ \sf \implies Z = \frac{s}{2} (P + p) \\ \\ \sf Z = \frac{s}{2} (P + p) \ is \ equivalent \ to \ \frac{s}{2} (P + p) = Z: \\ \sf \implies \frac{s}{2} (P + p) = Z \\ \\ \sf Divide \ both \ sides \ by \ \frac{s}{2} : \\ \sf \implies P + p = \frac{2Z}{s} \\ \\ \sf Substrate \ p \ from \ both \ sides: \\ \sf \implies P = \frac{2Z}{s} - p[/tex]

Answer:

[tex]x>z\\z>y[/tex]

Step-by-step explanation:

[tex]x[/tex] is greater than [tex]z[/tex].

[tex]z[/tex] is greater than [tex]y[/tex].

Answer:

No

Step-by-step explanation:

If the function is decreasing, then the slope must be negative

Answer:

A. - 3.

B. - 1.

C. - 5.

D. - 4.

E. - 2.

Step-by-step explanation:

A. Definition refers to a statement that exactly defines the object, thing or everything.

B. Postulate or axiom is a statement that is accepted as true in order to initiate an argument.

C. Common notion is the statement that helps to understand the common sense about the subject.

D. Theorem is a statement that shows proof on the basis of previously making statements.

E. Corollary is a statement that act as a small proof that has already been proven.

Hence, the correct matches are:

A. - 3.

B. - 1.

C. - 5.

D. - 4.

E. - 2.

Answer:

A.)

Step-by-step explanation:

If you plug in the x and y values into the equation, you will see that -6=-6

y=3x-6

-6=3(0)-6

-6=-6

Therefore, A.) is the correct answer

Answer:

1.80

Step-by-step explanation:

Answer:

$1.47 per pound

Step-by-step explanation:

The 22 pound bag of dog food costs $32.36. We want to find the cost per pound, or the unit rate for the 22 pound bag.

Therefore, we must divide the cost by the number of pounds.

cost/pounds

cost= $32.36

pounds= 22 lbs

$32.36/22 lbs

Divide 32.36 by 22

$1.4709090....

Round to the nearest cent, or hundredth. The 0 in the thousandths place indicates we should leave the 7 in the hundredth place.

$1.47

The 22 pound bag of dog good costs $1.47 per pound.

Answer:

Step-by-step explanation:

So if y=308x then we have to use the substitution method.

y=308x

y=122x+2338

so y=308x=122x+2338

308x-122x=186x

186x=2338

do the division and thats your answer. which is what y equals

Answer:

50%

Step-by-step explanation:

Enlarging it in the ratio 2:3 means dividing it by 2 and multiplying it by 3.

Lest's pretend the original size was 100 in. 100/2x3=150

So in this case we enlarged it by 50 in. which is 50% of 100.

So, the enlargement as a percentage is 50%

Answer:

50% more

3-2=1

1/2=0.5

0.5=50%

You can also double check by adding half of two and checking if it is 3

2 x 0.5 = 1

2 + 1 = 3

50% increase

Hope this helps

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because the mouse goes through 8 segments, this becomes a series of 8

Answer: {(-8, -14), (-7,-12), (-6,-10), (-5,-8)}

Step-by-step explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.

In the relations show here, notice that the first set

of ordered pairs is the only set where each x-coordinate

appears once with a different y-coordinate.

In the other ordered pairs, there is an x-coordinate that appears more

than once and it corresponds to a different y-coordinate.

For example, in the second relation,

the x-coordinate -9 appears twice.

In one case, -9 corresponds to -12 and

in the other case, it corresponds to -8.

So, this is not a function.

Answer:

127 and 129 if its going up by ones

Answer:

[tex]b[/tex] ≈ [tex]12.0[/tex]

Step-by-step explanation:

Using the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse.

[tex]12^2+b^2=17^2\\144+b^2=289\\[/tex]

Subtract 144 from both sides

[tex]b^2=145\\[/tex]

Square root both sides

[tex]b=\sqrt{145}[/tex]

[tex]b[/tex] ≈ [tex]12.0[/tex]

Answer:

Step-by-step explanation:

[tex]12^{2} + b^{2} = 17^{2} \\144 + b^{2} = 289\\b^{2} =289-144\\b^{2} =145\\b=\sqrt{145} \\b = 12.04\\b = 12[/tex]

Hope it helps tell me if its right

Answer:

Sweater will be $21.51

Step-by-step explanation:

cost of sweater $30.00

Sale of 33% off comes to $9.90/off ($30 × 33% = $9.90)

$30.00 - $9.90 =$20.10

Sale cost of sweater is $20.10

$20.10 × 7% sales tax = $1.41

$20.10 + $1.41 = $21.51

[tex]answer \\ \frac{2}{3} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer: K = 6

Step-by-step explanation:

If you find the inverse of the inverse function, it will return back to initial function.

The inverse of r^-1 (x) will give r(x).

To find the inverse of r^-1(x), let it be equal to y. Interchange y and x for each other and make y the subject of formula. That is,

Y = 2x^2 - 14

Interchange y for x

X = 2y^2 - 14

2y^2 = x + 14

Y^2 = x/2 + 14/2

Square both side

Y = sqrt ( x/2 + 7 )

It is only when K = 6, that will can get the value above.

Answer:

Step-by-step explanation:

1. x/10=12/15

x*15=10*12

x=10*12/15

x=2*5*3*4/5*3=8

x=8

2. x/9=8/6

x*6=9*8

x=9*8/6

x=3*3*8/3*2=24/2

x=12

Answer:

AB

Step-by-step explanation:

I think that's the answer

Answer:

f(x) has the greater absolute maximum

Step-by-step explanation:

[tex]f(x)=-x^2-4x+3 \\\\f'(x)=-2x-4=-2(x+2)[/tex]

so f'(x)=0 for x = -2 and f(-2)=-4+8+3=11-4=7

so f(x) has the greater absolute maximum

hope this helps

Answer:

a=567 km+900 km

a=1,467 km

b=567 km+169 km

b=736 km

x^2/a^2+y^2/b^2=1

x^2/(1,467)^2+y^2/(736)^2=1

Step-by-step explanation:

Answer:

x^2 / 736^2  +  y^2 / 1467^2  =  1

Answer:

1

Step-by-step explanation:

Answer: B) 1/9, 3, 27

Step-by-step explanation:

Here, we need to evaluate [tex]3^x[/tex] for [tex]x = -2, x = 1, \text{ and } x = 3.[/tex]

So, we substitute values of x in the given function.

At x= -2, we have

[tex]3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\ \ \ [\because\ a^{-n}=\dfrac{1}{a^n}][/tex]

At x= 1, we have

[tex]3^1=3[/tex]

At x= 3

[tex]3^3=3\times3\times3=27[/tex]

So, the values of  [tex]3^x[/tex] for  

Thus, the correct answer is B) 1/9, 3, 27

Answer:

Step-by-step explanation:

Answer: B) 1/9, 3, 27

Answer:

a)34.746

Step-by-step explanation:

Answer:

See the explanation.

Step-by-step explanation:

Cora is making a rectangular prism. She plans to have 8 inches if height. What will be the volume of the rectangular figure?

As the figure formed is a rectangular prism. we need to find the volume of  rectangular prism. Volume of prism will be:

Volume = Length · Width · Height

As she wants to have 8 inches of height, substitute it in the given equation:

Volume = 8(Length · Heights) inch³

Answer:

240

Step-by-step explanation:

Got it wrong in khan