Drag the tiles to the correct boxes to complete the pairs.
Match each polynomial function with one of its factors.
f(x) = x3 − 3x2 − 13x + 15
f(x) = x4 + 3x3 − 8x2 + 5x − 25
f(x) = x3 − 2x2 − x + 2
f(x) = -x3 + 13x − 12
x − 2
arrowRight
x + 3
arrowRight
x + 4
arrowRight
x + 5
arrowRight

Answer:

Option B. [tex]9x^{3}-2x^{2}-4x-2[/tex]

Step-by-step explanation:

we have

[tex]7x^{3}-2x^{2} +5[/tex]

[tex]2x^{3}-4x-7[/tex]

Adds the polynomial

Group terms that contain the same variable

[tex](7x^{3}+2x^{3})-2x^{2}-4x+(5-7)[/tex]

Combine like terms

[tex]9x^{3}-2x^{2}-4x-2[/tex]

Janice's error was

[tex]-2x^{2} +5-4x-7=6x^{2}-12[/tex]

so

[tex]-2x^{2}-4x=6x^{2}[/tex]

instead

[tex]-2x^{2}-4x=-2x^{2}-4x[/tex]

and

[tex]5-7=-12[/tex]

instead

[tex]5-7=-2[/tex]  

Answer:

B

Step-by-step explanation:

Edge 2022

Hello,

Starting with problem one:

Subtract 66 from both sides.

z2−9z−66=66−66

z2−9z−66=0

Use quadratic formula with a=1, b=-9, c=-66.

z = 9/2+1/2√345

Problem two:

Subtract 17 from both sides.

y^2+16y−17=17−17

y^2+16y−17=0

Factor left side of equation.

(y−1)(y+17)=0

Set factors equal to 0.

y−1=0 or y+17=0

y=1 or y=−17

ANSWER: y=1 or y=−17

Problem 3:

2h^2−5h−(−1)=−1−(−1)

2h^2−5h+1=0

Use quadratic formula with a=2, b=-5, c=1.

ANSWER: h=5/4+1/4√17

Have an amazing day.

Answer:

B

Step-by-step explanation:

Use the formula for radius and circle circumference.

[tex]d=2r \\ \\ C=2\pi r[/tex]

Since we know the diameter, if we divide that by 2, we can get the radius.

[tex]29.5/2=14.75[/tex]

Now we can plug that value into the circumference formula to get the circumference.

[tex]C=2(14.75)\pi \\ \\ C=29.5\pi \\ \\ C=93[/tex]

*Since we're rounding to the nearest inch.

Answer:

piccctures?

Step-by-step explanation:

Answer:

c (3,0)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the answer is B because you will add and subtract each element with it's corresponding one

The result of this operation is option B. This is obtained by using matrix addition and subtraction.

Adding and subtracting the terms of the matrix since these are matrices with same order. Hence we get,

[tex](\left[\begin{array}{ccc}13&10&7\\6&8&1\\2&5&0\end{array}\right] -\left[\begin{array}{ccc}3&-2&6\\14&-6&11\\8&-12&9\end{array}\right] ) +\left[\begin{array}{ccc}6&10&15\\10&0&9\\1&0&7\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}10&12&1\\-8&14&-10\\-6&17&-9\end{array}\right] +\left[\begin{array}{ccc}6&10&15\\10&0&9\\1&0&7\end{array}\right][/tex]

=[tex]\left[\begin{array}{ccc}16&22&16\\2&14&-1\\-5&17&-2\end{array}\right][/tex]

Thus the required matrix is option B.

Learn more about matrix addition and subtraction here:

brainly.com/question/34923885

#SPJ2

Answer:

B, (-9,-8)

Step-by-step explanation:

to solve, plug in the terms into 5x - 3y = -21

plugging in (-9,-8) into the equation:

5(-9) - 3(-8) = -21

--45 + 24 = -21

-21 = -21

(-9,-8) is a solution to the equation

Answer:

(-9,-8)

Step-by-step explanation:

Answer:  No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.

Step-by-step explanation:

A representative sample has to be in proportion, and the diagram shows that the greater part is not represented in proportion. Because it is not represented in proportion, it is not a representative sample.

Answer: C

Answer:

Letter C because the sample size is not in proportion to the rest of the weeds in the grass.

Step-by-step explanation:

Also, I use Ed_genuity too did u rlly need to blur out time left lol

Answer:

27.9 mm2

27.9 mm2 = 2.79 × 10^ -5 m2

Answer:

8.4 in. per seconds

Step-by-step explanation:

14yd=42ft.

42ft=504in per min

504/60=1 min / 60

8.4=1 sec.

Answer:

8.4 inches/second

Step-by-step explanation:

1 yd = 3 ft

1 ft = 12 inches

1 minute = 60 seconds

These are the conversion factors we need to convert 14 yds /minutes to inches per second

14 yds        3 ft

--------  * -------------

minutes    yd

The yds cancel and we are left with

42 ft

--------

minutes

42 ft        12 inches

-------- * ------------------

minutes   1 ft

The feet cancel

504 inches

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

minutes

504 inches          1 minute

------------------- *--------------

minutes                60 seconds

The minutes cancel

504 inches

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

60 seconds

Simplifying the numbers

8.4 inches

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

second

Answer:

5. He rented 7 new releases videos

6. 4 3-bedrooms units.

7. length: 37, width: 18

8. 81 dimes, 47 quarters

Step-by-step explanation:

5. Videos

X: New releases

Y: Regular titles

EQ1: x + y = 18 (he rented 18 videos)

EQ2: 3x + 2y = 43 (he paid $43 for the 18 videos)

By EQ1, we can isolate y-value as y = 18 - x

We place this y-value into EQ2:

3x + 2(18 - x) = 43 and we solve:

3x + 36 - 2x = 43

3x - 2x = 43 - 36

x = 7

He rented 7 new releases videos

6. bedroom units

X: 2-bedrooms units

Y: 3-bedrooms units

EQ1: x + y = 7 (they have 7 units)

EQ2: 450x + 650y = 3950 (their monthly renting revenues)

By EQ1, we can isolate x as x = 7 - y (since we're looking for 3-bedrooms units), and place that value in EQ2:

450 (7 - y) + 650y = 3950

3150 - 450y + 650y = 3950

200y = 800

y = 4

So, they have 4 3-bedrooms units.

7. Rectangle

X:  length

Y: width

EQ1: x + y = 55 (since perimeter is 110 and includes 2x + 2y)

EQ2: x = 2y + 1 (length is twice the with, plus 1)

Since we are asked to find both values, it doesn't matter by which we begin.  By EQ1, we can do x = 55 -y, and place that value in EQ2, to get:

55 - y = 2y + 1

54 = 3y

y = 18

Place y = 18 in EQ1 to find x:

x + 18 = 55

x = 37

8. Dimes and quarters

X:  dimes

Y:  quarters

EQ1:  x = y + 34 (34 more dimes than quarters)

EQ2: 10x + 25y = 1985 (total value of the collection)

Let's place the value of x from EQ1 in EQ2:

10 (y + 34) + 25y = 1985

10y + 340 + 25y = 1985

35y = 1645

y = 47

From EQ1, we then have

x = 47 + 34 = 81

So, we have 81 dimes ($8.10) and 47 quarters ($11.75), for a total of $19.85.

Answer:

B) y+3=-1/4(x-8) hope this helps! :D

Step-by-step explanation:

point-slope formula is y-y1=m(x-x1)

y1 and x1 are coordinates, aka a point

The answer ur looking for is B

Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

y=5x-3 what is the point slope form of this equation?

The point-slope form looks like y - k = m(x - h), where (h, k) is the given point and m is the given slope.

Here the given point is (-2, -13).  Therefore, the desired equation is:

y -(-13) = 5( x - [-2] ), or

y + 13 = 5(x + 2)

Answer:

[tex]y+13=5(x+2)[/tex]

Step-by-step explanation:

The given function passes through (-2,-13).

The slope-intercept form of this equation is [tex]y=5x-3[/tex].

This implies that; the slope of the given function is;

[tex]m=5[/tex]

The point-slope form of this function is given by the formula;

[tex]y-y_1=m(x-x_1)[/tex]

We have [tex](x_1,y_1)=(-2,-13)[/tex]

We substitute the point and the slope into the function to obtain;

[tex]y--13=5(x--2)[/tex]

[tex]y+13=5(x+2)[/tex]

The area of a triangle is 1/2*base*height and in this case it would be 1/2*7*1.5 which is B. 5.25 square units

Answer:

Yes it's B. 5.25

A=hbb

2=1.5·7

2=5.25

Step-by-step explanation:

Answer:

option B 5

option D -6

Step-by-step explanation:

Given in the question an inequality

x² > 16

Step 1

Take square root on both sides of inequality

√x² > ±√16

x < -√16 or x > √16

x < -4 or x > 4

Step 2

-4 > x > 4

x = 5 x > 4    accepted

x = -6 x < -4   accepted

Step 3

x = 4 rejected

x = -1 rejected

Answer:

A)$1667 in 7.5%, $833 in 6%

Step-by-step explanation:

Let amount of money invested 6% account = x

Let amount of money invested 7.5% account = y

Then we get equations:

x+y=2500

or x=2500-y ...(i)

6% of x+7.5% of y=7% of (2500)

or 0.06x+0.075y=0.07(2500)

or 60x+75y=175000...(ii)

plug (i) into (ii)

60x+75y=175000

60(2500-y)+75y=175000

150000-60y+75y=175000

-60y+75y=175000-150000

15y=25000

y=$1666.66666667

or y=1667

plug into (i)

x=2500-y=2500-1667=833

Hence final answer is A)$1667 in 7.5%, $833 in 6%

Answer:

[tex]125.3 \times 3 = 375.9[/tex]

[tex]125.3 \times \frac{3}{4} = 93.975[/tex]

[tex]375.9 + 93.975 = 469.875[/tex]

Answer:

Bill

Step-by-step explanation:

Answer:

Bill ran faster than Joe.

Step-by-step explanation:

On average Bill ran each 100m in 13.50s while Joe ran each 100m in 14.33s.

For this case, we have that by definition, be given two functions f (x) and g (x). So:

[tex](f-g) (x) = f (x) -g (x)[/tex]

We have:[tex]f (x) = - 3x-5\\g (x) = 4x-2[/tex]

So:

(f-g) (x) = - 3x-5- (4x-2)

We have to:

[tex]- * + = -\\(f-g) (x) = - 3x-5-4x + 2[/tex]

Equal signs are added and the same sign is placed while different signs are subtracted and the sign of the greater is placed

[tex](f-g) (x) = - 7x-3[/tex]

Answer:

Option D

Answer:

The y-intercept occurs when x = 0.

So, when x = 0 , y = 4.

answer is A

Step-by-step explanation:

Answer:

4 balls

Step-by-step explanation:

108/8=13.5 or 13 R 4

For this case we must divide the number of baseballs among the number of players. Let "x" be the variable that represents the amount of baseballs that each player has to play. So:

[tex]x = \frac {108} {8}\\x = 13.5[/tex]

Rounding down, [tex]x = 13.[/tex]

Each player gets 13 baseballs. Then there are:

[tex]108-13 * 8 = 108-104 = 4[/tex] baseballs

Answer:

4 baseballs

Answer:

C). all numbers greater than zero

Step-by-step explanation:

We have been given a logarithmic function [tex]y=\log_{10}x[/tex].

Now we need to find about what is the domain of the given function then match with the correct choice from the given choices:

A). all numbers greater than or equal to zero

B). all numbers less than zero

C). all numbers greater than zero

By definition of logarithmic function we know that log is not defined for 0 or negative values.

Hence domain of given function must be

C). all numbers greater than zero

The answer is:

The third option,

All numbers greater than zero.

The logarithmic function exists only from the numbers greater than zero to all the positive numbers, we must remember that the logarithmic function is the inverse to the exponential function, which domain is equal to all numbers greater than zero.

Hence, the answer is the third option:

All numbers greater than zero.

I have attached a picture for better understanding.

Have a nice day!

Answer:

See below.

Step-by-step explanation:

Step 3 should be: 576pi / 64pi = 64pi h / 64pi

Step 4:  9 = h.

I would say C and D.

Answer:

C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.

Step-by-step explanation:

We know that,

The volume of a cylinder is,

[tex]V=\pi(r)^2h[/tex]

Where r is the radius of the cylinder,

h be the height of the cylinder,

Given,

[tex]V=576\pi \text{ cubic cm}[/tex]

r = 8 cm,

So, for finding the height of the cylinder the steps are as follows,

Step 1 : [tex]576\pi =\pi (8)^2h[/tex]

Step 2 : [tex]576\pi =\pi (64)h[/tex]

Step 3 : [tex]\frac{576\pi}{64\pi} =\frac{\pi (64)}{64\pi}h[/tex]

Step 4 : [tex]h = 9\text{ cm}[/tex]

Thus, it is clear that she had her mistake in 4th step,

She should cancel out [tex]\pi[/tex].

Option C is correct.

Answer:

C

Step-by-step explanation:

We can see that there is a closed dot and the function is going left and it is a cubic function.

Additionally, the only one with a [tex]x^3+n\leq 2[/tex] inequality is C.

We know that functions are mathematical entities that assign unique outputs to given inputs. In other words, a function can't have repeated values in the input repeated x-value.

For example consider the relation {(1,4), (1,5), (2,6), (3,7), (4,8), (5,9)}.

We see that above relation has repeated x-value "1" which is assigned to two different output values 4 and 5. So by definition of function, above relation can't be a function.

Answer:

480 in

BTW: Who could be that tall other than "Jonathan" of course?

Step-by-step explanation:

If you use subtraction...

6514-6034=480

to solve this problem subtract 6034 from 6514 to get 480

So he grew 480 inches which is equivalent to 40 feet

Answer: k = 11%

Step-by-step explanation:

The relative frequency fr is calculated by dividing the frequency xi of a given Class by the number of total data.

[tex]fr = \frac{xi}{n} * 100\%[/tex]

In this problem there are 4 Class U ^ V and S ^ T

Notice in the first table that the total number of data is n = 19.

The relative frequency of k will be the frequency of T ^ V between the total number of data.

Notice in the first table that the frequency of the Class T ^ V is 2.

So

[tex]k = \frac{2}{19} * 100\%\\\\k = 11\%[/tex]

Answer:

B=11%

Step By Step EXP.

Believe in me

[tex]\bf 4\pi \qquad \approx \qquad 12.57 \\\\[-0.35em] ~\dotfill\\\\ \sqrt{79}+\sqrt{63}\qquad \approx \qquad 8.89 + 7.94\implies 16.83 \\\\[-0.35em] ~\dotfill\\\\ \sqrt{143}\qquad \approx \qquad 11.96 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{11.96}{\sqrt{143}}\qquad \stackrel{12.57}{4\pi }\qquad \stackrel{16.83}{\sqrt{79}+\sqrt{63}}~\hfill[/tex]

[tex]4\pi = 1.27323954474\\\sqrt{143} = 11.9582607431\\\sqrt{79} + \sqrt{63} = 16.8254483505[/tex]

Answer:

Step-by-step explanation:

Write down what you have for each pizza size.

small: s

Medium: (3/2) s

Large: (5/2) s

The only way I can see to do this is

s = L - M

s = 5/2 s  -   3/2 s

s = 2/2 s

This of course is not exactly what you are looking for. There is no explicit formula that will tell you exactly how much dough is in a small pizza.

See the comment below posted by SqdanceFan. He is saying that M/L = (3/2)//(5/2) = 3/5

Also (M)/( S + M)  =  3/5

But neither gives you an explicit formula for small, but it is a relationship. The fact that equality is achieved when both are zero is also true, but it does not solve the question. I don't think there's a good answer to this question.

Answer:

y = 2/3x - 4

Step-by-step explanation:

To convert the equation \(3y = 2(x - 6)\) into slope-intercept form (\(y = mx + b\)), where \(m\) is the slope and \(b\) is the y-intercept, follow these steps:
1. Distribute the scalar on the right-hand side of the equation to both terms within the parentheses:
  \(3y = 2x - 12\)
2. Isolate the variable \(y\) on one side by dividing the entire equation by 3:
  \(y = \frac{2}{3}x - 4\)
Now the equation is in slope-intercept form, where the slope \(m\) is \(\frac{2}{3}\) and the y-intercept \(b\) is \(-4\). The final equation is:
\[y = \frac{2}{3}x - 4\]