How many solutions exist for the given equation?
CO
3(x - 2) = 22-X
name
zero
one
two
infinitely many




can someone help me pls​

Answer:

- 8/5

Step-by-step explanation:

A line has x-intercept -8 and y-intercept 5.

It means the line has passes through:

Slope as per slope formula:

Perpendicular lines have slopes negative reciprocal to each other

So the slope of the perpendicular line is:

The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

(a³ - 2a + 5) - (4a³ - 5a² + a - 2)

⇒ a³ - 4a³ - 2a - a + 5a² + 5 + 2

⇒ -3a³ + 5a² - 3a + 7

Hence "The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Answer:

(a)19.6 meters

(b) 1 seconds

(c)30.625 meters

Step-by-step explanation:

The height of the balloon is modeled by the equation:

[tex]h = -4.9t^2- 14.7t + 19.6[/tex]

(a)Since the balloon is thrown from the top of the house,  the height of the house is at t=0

When t=0

[tex]h(0) = -4.9(0)^2- 14.7(0) + 19.6\\h=19.6$ meters[/tex]

The height of the house is 19.6 meters.

(b)When the balloon hits the ground

Its height, h(t)=0

Therefore, we solve h(t)=0 for values of t.

[tex]h = -4.9t^2- 14.7t + 19.6=0[/tex]

[tex]-49t^2-147t+196=0\\-49(t^2+3t-4)=0\\t^2+4t-t-4=0\\t(t+4)-1(t+4)=0\\(t+4)(t-1)=0\\t+4=0$ or $t-1=0\\t=-4$ or t=1[/tex]

Therefore, the ball hits the ground after 1 seconds.

(c)To determine the maximum height, we take the derivative of the function and solve it for its critical point.

[tex]If$ h = -4.9t^2- 14.7t + 19.6\\h'(t)=-9.8t-14.7\\$Setting the derivative equal to zero$\\-9.8t-14.7=0\\-9.8t=14.7\\t=-1.5\\$Therefore, the maximum height, h(t) is:\\h(1.5) = -4.9(-1.5)^2- 14.7(-1.5) + 19.6\\=30.625$ meters[/tex]

Answer:

C

Step-by-step explanation:

Option c gives the actual representation of the question

Answer:

(-3, 1.5)

Step-by-step explanation:

Take the averages of the x-coordinates and y-coordinates of the 2 points

-5.5 + -0.5 = -6. Divide by 2 to get the average: -6/2 = -3. So, -3 will be the x coordinate of the midpoint.

-6.1 + 9.1 = 3. Divide by 2 to get the average: 3/2 = 1.5. So, 1.5 will be the y coordinate of the midpoint.

The midpoint will be (-3, 1.5)

It takes 48 hours if 12 people built the same wall.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

3 x 12 x 129

Step-by-step explanation:

You can get your answer

Answer:

the first one is 4+10+10=24

the second one is 10-4=6

the third one is =4

the pink cone=10

the blue cone=4

I hope this help

and i am sure that is the answer

please give me the brainlest

Answer:

Look up how  to find volume and you'll get the answer right away

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the - means you have to subtract to add. so subtract 3 over 4 and you get 2

Answer:

simplified expression for √x^2+6x+9 if x≥3

is x+3

Step-by-step explanation:

[tex]\sqrt{x^2+6x+9} \\=>\sqrt{x^2+3x+3x+9} \\=>\sqrt{x(x+3)+3(x+3)} \\=>\sqrt{(x+3)(x+3)} \\=>\sqrt{(x+3)^2}\\=>(x+3) \ or -(x+3)[/tex]

but given that x≥3

then we have to negate solution -(x+3)\

Then simplified expression for √x^2+6x+9 if x≥3

is x+3

The values of c and d are c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

d = integers

c = rational numbers

Integers are numbers without decimal and rational numbers can be expressed as fractions

Using the above as a guide, we have the following possible values

c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11

Read more about numbers at

https://brainly.com/question/10853762

#SPJ1

Answer:

C

Step-by-step explanation:

The matrices are conformable for multiplication.

Multiply and sum the product of corresponding elements in row 1 of matrix A with elements in column of matrix B.

AB = [tex]\left[\begin{array}{ccc}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}10+6\\6-3\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}16\\3\\\end{array}\right][/tex] → C

Answer:

  WU = (14√13)/13 ≈ 6.6564

Step-by-step explanation:

Call the incenter of ∆KWU point A. Call the center of circle ω2 point B.

Then ∠KWA has half the measure of arc WA. ∠AWU is congruent to ∠KWA, so also has half the arc measure. That is, ∠KWU has the same measure as arc WA and ∠KBW.

KB is a perpendicular bisector of chord WU, so ∆KWB is a right triangle, of which WU is twice the altitude to base KB.

The length of KB can be found several ways. One of them is to use the Pythagorean theorem:

  KB² = KW² +WB² = 4² +6² = 52

  KB = √52 = 2√13

The area of triangle KWB is ...

  area ∆KWB = (1/2)KW·WB = (1/2)(4)(6) = 12 . . . . square units

Using KB as the base in the area calculation, we have ...

  area ∆KWB = (1/2)(KB)(WU/2)

  12 = KB·WU/4

  WU = 48/KB = 48/(2√13) = 24/√13

  WU = (24√13)/13 ≈ 6.6564

Answer:

39/46

Step-by-step explanation:

Now, the key to answer this first is knowing the value of cos θ

Mathematically, when we have sin θ

What we have is the ratio of the opposite to the hypotenuse side

Thus, here, since sin θ = 5/13, this means that the opposite is 5 while the hypotenuse is 13

Now to complete the 3rd side of the triangle, we need to use the Pythagoras’s theorem

This states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides

So let’s say the adjacent or the third side is d

This means that;

13^2 = 5^2 + d^2

d^2 = 13^2 - 5^2

d^2 = 169-25

d^2 = 144

d = √(144)

d = 12

The cosine of the angle mathematically is the ratio of length of the adjacent to that of the hypotenuse

and that is 12/13

Hence Cos θ = 12/13

What we need last to answer the question is cos2 θ

Using trigonometric identity;

Cos2θ = cos^2 θ - sin^2 θ

Inputing the values of sine and cos of the angle theta, we have;

cos2θ = (12/13)^2 - (5/13)^2

cos2θ = 144/169 - 25/169 = 119/169

Thus;

cosθ/(cos2θ + sinθ) = 12/13/(119/169 + 5/13)

= 12/13/(184/169)

= 12/13÷ 184/169

= 12/13 * 169/184

= (13 * 3)/46 = 39/46

Answer:

The answer is -32, -18, -11, 8, 41.

Step-by-step explanation:

For negative number, the greater the number the smaller it is. For example, -2 is smaller than -1. ( -2 < -1 )

For positive number, the greater the number the larger it is. For example, 1 is smaller than 2. ( 1 < 2 )

Answer:

-32, -18, -11, 8, 41

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]\sqrt[4]{\dfrac{81}{16}a^8b^{12}c^{16}}= \\\\\sqrt[4]{\dfrac{3^4}{2^4}(a^2)^4(b^3)^4(c^4)^4} = \\\\\dfrac{3}{2}a^2b^3c^4[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer:

y = -2x + 1

Step-by-step explanation:

First we're going to find the gradient (the number in the green box with the question mark).

We use the formula [tex]\frac{y2-y1}{x2-x1}[/tex] to calculate the gradient.

Let's make (-1, 3) be our (x1, y1), and (2, -3) be our (x2, y2).

Substitute the points into our formula:

gradient = [tex]\frac{(-3)-3}{2- (-1)}[/tex]

gradient = [tex]\frac{-6}{3}[/tex]

gradient = -2

Next, we're going to find the y-intercept (the number in the grey box)

Now that we have the gradient, our equation looks like this:

y = -2x + c

We use the letter c to represent the y-intercept of a linear graph.

Substitute one of the points given into the x and y in the equation. Let's use (-1, 3).

3 = -2(-1) + c

3 = 2 + c

c = 1

So our equation is y = -2x + 1

Answer:

Duh MeepMeepMeepMeep

Step-by-step explanation:

bc I said

Answer:

Meepmeepmeepmeep or Meeeeeeeep.

Step-by-step explanation:

Meeeeeeeep has all of the es. Meepmeepmeepmeep has everything.

Answer:

For purple;

P(p) = 337/848 = 0.40

For white;

P(w) = 511/848 = 0.60

Step-by-step explanation:

Given;

Number of plants with purple flowers P = 337

Number of plants with white flowers W = 511

Total T = 337 + 511 = 848

For purple;

the empirical Probability that a plant had purple flowers P(p) is

P(p) = Number of plants with purple flowers/total number of plants

P(p) = P/T

Substituting the values, we have;

P(p) = 337/848 = 0.40

For white;

the empirical Probability that a plant had white flowers P(w) is

P(w) = Number of plants with white flowers/total number of plants

P(w) = W/T

Substituting the values, we have;

P(w) = 511/848 = 0.60

Answer:

Macy’s

Step-by-step explanation:

let’s find the cost of each shirt

JCPenny’s: 14.99 x 0.80 = $11.99

                   11.99 x 1.06 = $12.70

                   The final cost of the JCPenny shirt is $12.70

Macy’s: 17.99 x 0.65 = $11.69

             11.69 x 1.07 = $12.51

             The final cost of the Macy’s shirt is $12.51

$12.51 is less than $12.70

So, the Macy’s shirt is the better deal :)

Answer:

D Over the interval [4, 7], the local minimum is -7.

Step-by-step explanation:

360÷20 = 18sides

U divide 360 by 20 because angles at the center add up to 360°

The given polygon will have 18 sides in total.

Given information:

The diagram shows part of a regular polygon.

The sides of this polygon subtend angles of 20° at the center of the polygon.

Let the polygon has n number of sides.

Now, the polygon is regular. So, its each side will be equal and it will make equal angle with the center.

The sum of angles made by all the sides will be equal to 360 degrees.

So, the number of sides n can be calculated as,

[tex]20\times n=360\\n=\dfrac{360}{20}\\n=18[/tex]

Therefore, the given polygon will have 18 sides in total.

For more details, refer to the link:

https://brainly.com/question/22831826

Answer:

m = 3.86

Step-by-step explanation:

D = 6 / 7

D = m + 3

6 / 7 = m + 3

6 / 7 + 3 = m

m = 3.86

Answer:

The TV has a length of 61.01" and a height of 34.32"

Step-by-step explanation:

The size of a TV is given by the length of it's diagonal, in this case the diagonal of the TV is 70". The ratio of the screen is 16:9, which means that for every 16 units on the length of the tv there are 9 inches on its height. The diagonal of the screen forms a right angle with the length and the width, therefore we can apply Pythagora's theorem as shown below:

[tex]diagonal^2 = height^2 + length^2\\\\height^2 + length^2 = (70)^2\\\\height^2 + length^2 = 4900[/tex]

Since the ratio is 16:9, we have:

[tex]9*length = 16*height[/tex]

[tex]length = \frac{16}{9}*height[/tex]

Applying this on the first equation, we have:

[tex]height^2 + (\frac{16}{9}*height)^2 = 4900\\\\height^2 + \frac{256}{81}*height^2 = 4900\\\\\frac{337}{81}*height^2 = 4900\\\\height^2 = \frac{4900*81}{337}\\\\height^2 = \frac{396900}{337}\\\\height^2 = 1177.744\\\\height = \sqrt{1177.744}\\\\height = 34.32[/tex]

[tex]length = \frac{16}{9}*34.32\\\\length = 61.01[/tex]

The TV has a length of 61.01" and a height of 34.32"

Answer:

see below

Step-by-step explanation:

4. If ∠AYX = 25.5° that means that ∠XYZ = 25.5 * 2 = 51° because YA is the angle bisector.

5. If ∠XYZ = 64°, ∠AYZ = 64 / 2 = 32°.

6. You can construct ∠P and PQ by using a protractor. I'm not sure how to attach an image so I'll just tell you the answer I got for c which is about 3 cm.

Answer:

(6, - 3 )

Step-by-step explanation:

Given f(x) then f( x + c) represents a horizontal translation of f(x)

• If c > 0 then a shift to the left of c units

• If c < 0 then a shift to the right of c units, thus

y = f(x - 4) represents a shift to the right of 4 units, so

(2, - 3 ) → (2 + 4, - 3 ) → (6, - 3 )

The maximum point on the graph after translation y = f( x -4) is (6 , -3)

Translation of a graph is the movement of the graph either in horizontal direction or vertical direction .

Horizontal translation to the left is given by f (x+ c) ,c >0

: (x, y) → (x- c , y)

Horizontal translation to the right is given by f (x- c) ,c >0

: (x, y) → (x+ c , y)

Given that the maximum point on the graph of the equation

y = f(x) is (2,-3)

To find the maximum point on the graph of the equation y = f(x-4)

f(x -4) is Horizontal Translation to the right with 4 units , c= 4

then  (x, y) → (x+ c , y)

Thus the maximum point (2,-3) is moved to ( 2 +c , -3)

⇒ (2+ c , -3) = (2+4 , -3) = ( 6 , -3)

Therefore, the maximum point of the graph of the equation  y = f(x-4) becomes (6,-3)

Also, Learn more abut translation of graphs from the link below:

https://brainly.com/question/11805053

#SPJ5

Answer:

Perimeter of the cross section = (10+4√5)inches = 18.9in

Area of the cross section= = 10√5 in²

Step-by-step explanation:

Find attached the diagrams used in solving the question

Dimensions of granite = 4in by 2in

Length = 4in

Breadth = 2in

Height = 5in

When granite is cut lengthwise along it's diagonal, the cross section formed by the cut will be a rectangle.

Perimeter of the cross section = 2(height+breadth)

Breadth = diagonal of the cross section

The diagonal of a rectangle divides the rectangle into two right angled triangles.

We would apply Pythagoras theorem to find the length of the diagonal

Hypotenuse ² = opposite ²+adjacent ²

Hypotenuse = length of diagonal

Hypotenuse ² = 2² + 4²

Hypotenuse ² = 4+16 = 20

Hypotenuse = √20 = 2√5

Perimeter of the cross section = 2(height+breadth) =2(5+2√5)

Perimeter of the rectangle = 10+4√5 inches = 18.9in

Area of the cross section= diagonal × height

Area of the cross section= 2√5 × 5

Area of the cross section= = 10√5 in²

Answer:

the median increases by 0

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

Let us find the volume of Haley's prism and compare it with the volume of Jeremiah's.

The volume of Haley's prism is:

V = 5 * 3 * 4 = 60 cubic units

Jeremiah's prism has twice the volume of Haley's:

V(J) = 2 * 60 = 120 cubic units

This implies that:

120 = 4 * 3 * h

where h = height of prism

=> 120 = 12h

=> h = 120 / 12 = 10 units

Jeremiah's prism is 10 units tall.