Angelica’s speed is 4 cm/minute, Monique’s speed is 3.5 cm/minute, and Courtney’s speed is 5.5 cm/minute. Which turtle will win the race? Explain your reasoning.

9, -12, 24

The zeroes are the numbers in the parentheses with the opposite signs (-9 becomes 9, 12 becomes -12, and -24 becomes 24)

The zeros of the polynomial are 9, −12, 24.

option (c) is correct.

It is given that the  polynomial is

f(x) = (x − 9)(x + 12)(x − 24)

To find  the zeros of the polynomial.

A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power.

The given polynomial is

f(x) = (x − 9)(x + 12)(x − 24)

If f(x) =0

0 = (x − 9)(x + 12)(x − 24)

then

x-9=0 or x+12=0 or x-24=0

x=9 or x=-12 or x=24

so ,  the zeros of the polynomial are 9, −12, 24.

Learn more about the polynomial here:

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I believe it is 20,416.67

Answer:

20417

Step-by-step explanation:

2450/12=204.16666   204.166*100=20416.6666667 round up

In mathematics, we convert division of fractions to multiplication by using the reciprocal of the divisor. By following these steps, -10/19 divided by (-5/7) simplifies to 14/19.

The problem at hand involves the division of two fractions, -10/19 divided by (-5/7). In mathematics, the division of fractions is performed by converting the division operation into multiplication by making use of reciprocal of the divisor. That means we replace the division symbol between the two fractions with a multiplication symbol and inverse the divisor (which is the fraction that comes after the division symbol).

Let's perform the operation step-by-step:

So, the result of -10/19 divided by (-5/7) is 14/19.

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Slope = 0.2 and  y-intercept = 0.3

The slope intercept form of line is

y=mx + b where m is the slope and b is the y intercept

So equation becomes  y = 0.2 x + 0.3

To find coordinates of 4 points , we plug in some number for x  and find out y

x              y = 0.2 x + 0.3

0              y = 0.2 (0) + 0.3= 0.3

1               y = 0.2 (1) + 0.3= 0.5

2               y = 0.2 (2) + 0.3= 0.7

3               y = 0.2 (3) + 0.3= 0.9

Four coordinates are (0,0.3) (1,0.5) (2,0.7) (3,0.9)

She need to work a total of 6 hours of being a hostess because if she just works 5, she will not get the total $150 she needs to earn. I took this test and I got it correct.

The inequality that represents the number of hours Lynn needs to work both as a hostess and babysitting in order to earn at least $150 in a week is 7.5h + 10b ≥ 150. Here 'h' is the number of hours Lynn works as a hostess and 'b' is the number of hours she babysits.

To solve this mathematics problem, you need to set up an inequality. Lynn works at the restaurant earning $7.50 per hour (represented by 'h') and babysits earning $10 per hour (represented by 'b'). Given that she needs to make at least $150 in one week, the expression of her earnings from both jobs must be greater than or equal to 150. Hence the inequality will be 7.5h + 10b ≥ 150.

The coefficient of 'h' represents the wage rate Lynn earns per hour working as a hostess and 'b' is the number of hours she babysits. The sum of her earnings from both jobs is her total income. This sum must be at least $150, hence the 'greater than or equal to' sign.

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X/-3 -41 = -11

X/-3 = -11 +41

X/-3 = 30

X = 30×-3 = -90

To check

Put X = -90 in LHS

-90/-3 - 41

30 - 41

-11 = RHS

VERIFIED

I think it is 11. Hope this help.

5)

f and g are parallel so

5x + 9x +26 = 180

14x + 26 = 180

14x = 154

  x = 11 (second option)

6)

<1 + <2 = 180

answer

j║k by the converse of same side interior angles theorem (add up to 180)

This answer can be found by deviding 225 by 12. The exact answer is 18.75, but obviously you can’t put 3/4 of a flower in a vase. In that case, the best estimate would be 18-19 flowers, or just 19.

First you had to subtract by seventeen from both sides of equation form.

[tex]17+p-17=7p-13-17[/tex]

Then simplify.

[tex]p=7p-30[/tex]

Next, subtract by seven-p from both sides of equation form.

[tex]p-7p=7p-30-7p[/tex]

Simplify.

[tex]-6p=-30[/tex]

Then you divide by negative six from both sides of equation form.

[tex]\frac{-6p}{-6}= \frac{-30}{-6}[/tex]

And finally, simplify by equation.

[tex]-30/-6=5[/tex]

Final answer: [tex]\boxed{p=5}[/tex]

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

2x+6=45

2x=39

x=19.5

i hope that's helpfull......... is it?

2x + 6 = 45

2x = 45 - 6

2x = 39

x = 39 : 2

x = 39/2 or 19.5 (39 : 2=19.5)

2*2*3*5 are the prime factors of 60

2, 3 and 5 are the prime factors of 60.

we know 140 is 5% of some number x. to find x, we use this formula: 140/x = 5/100

cross multiply: 14000 = 5x

divide each side by 5: 2800

they had $2800 in their account.

The equation of the inverse of the function is [tex]y=\sqrt{\frac{x+4}{9} }[/tex]

Given the expression y = 9x^2 -4

Replace y with x to have

x = 9y^2 -4

Make y the subject of the formula to get the inverse function

9y^2 = x+ 4

[tex]y^2 = \frac{x+4}{9} \\y =\sqrt{\frac{x+4}{9} }[/tex]

Hence the equation of the inverse of the function is [tex]y=\sqrt{\frac{x+4}{9} }[/tex]

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[tex]59\geq2a+59 > 43\qquad|-59\\\\0\geq2a > -16\qquad|:2\\\\0\geq a > -8[/tex]

[tex]Answer:\ -8 < a\leq0[/tex]

Option A is correct.

Cathy needs to collect linear data . She should collect the data of option A-The height of a building for 20 years.

Explanation:

Linear data is that data whose slope is always same. Here lets assume, initially the building had 2 floors. Each year 2 floors are added above the previous floors. So our coordinate will be (0,2) (1,4) (2,6) (3,8)  and so on.

So slope = [tex]\frac{difference in y}{difference in x}[/tex]

= [tex]\frac{4-2}{1-0} = \frac{2}{1}[/tex]

= [tex]\frac{8-6}{3-2}[/tex] = [tex]\frac{2}{1}[/tex]

So, here slope is 2 for all coordinates.

You will have 2 piano lessons and 6 tuba lessons

To solve this, we find the least common multiple (LCM) of 7 and 3, which is 21. Not counting the initial or ending day, there are 19 days in between, during which time 2 piano lessons and 6 tuba lessons occur.

The key concept in this question is the Least Common Multiple (LCM) of two numbers. Given that you have piano lessons every 7 days and tuba lessons every 3 days, we are seeking to find out when these cycles will align again. The LCM of 7 and 3 is 21, meaning that you will have both lessons on the same day every 21 days.

Not counting today or that next joint lesson day (a total of 21 days), we then have 19 days remaining. For piano lessons, since they occur every 7 days, you will have 19 / 7 = 2 piano lessons in between, with some non-whole number of days leftover. Similarly, you will have 19 / 3 = 6 tuba lessons in between, again with a non-whole number of days leftover. Therefore, the answer is 2 piano lessons and 6 tuba lessons.

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It doesn't seem like you can put this in standard form since you are lacking variables.

Standard form of a polynomial:

x^3 + x^2 + x + n = 0

(- 1, 2 ) and ( -1, 0) have the same x-value

for the graph to represent a function there must be only one y- value for each x- coordinate. Here there are 2 so this is not a function

We know that the perimeter of a rectangle is twice the length, plus twice the width.  

P = 2L + 2W  

We also know that the perimeter is 156.  

P = 156  

Finally, we know that the width is 12 less than the length.  

W = L - 12.  

The next thing that we do is substitute the information that we have into the original equation:  

P = 2L + 2W  

156 = 2L + 2(L - 12)  

From this point we start to solve  

156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis  

156 + 24 = 2L + 2L - 24 + 24  

180 = 2L + 2L <--- getting like terms on same sides  

180 = 4L <---combining like terms  

180/4 = 4L/4 <--- getting like terms on same sides  

45 = L <---now we have a value for L  

Now we take the known value for L and substitute it in to our equation for W  

W = L - 12  

W = 45 - 12  

W = 33  

So now we have Length = 45 and Width = 33.

w = l - 12

156 = 2l + 2w

Since we have a value of w, we can plug that into the variable w to find the exact value of l.

156 = 2l + 2(l - 12)

Distributive property.

156 = 2l + 2l - 24

Combine like terms.

156 = 4l - 24

Add 24 to both sides.

180 = 4l

Divide both sides by 4.

l = 45

Now that we have the exact value of l, we can find the exact value of w.

w = l - 12

w = 45 - 12

w = 33

We now know the width is equal to 33 cm, and the length is equal to 45 cm. (This is your answer.)

We can verify by plugging these values into the second equation.

156 = 2l + 2w

156 = 2(45) + 2(33)

156 = 90 + 66

156 = 156 √ this is correct.

Hello!

This question is super easy to me.

[tex]432/2[/tex]

[tex]Answer---> =216[/tex]

[tex]216*2=432[/tex]

[tex]432/216=2[/tex]

Hope this helps!

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Answer:

[tex]\displaystyle Yes[/tex]

Step-by-step explanation:

According to the Divisibility Rules, any number quantity ending in 8, 4, 6, 4, 2, or 0, is divisible by 2.

I am joyous to assist you anytime.

Multiply both sides by 7

1/7 r ×7 = 10 ×7

7r/7 = 70

r = 70

Multiply both sides by 7  

1/7 r ×7 = 10 ×7

1r  = 70

Divide by 1 on both sides (Side by Side need to divide)

r = 70

the slope is 0 so the answer is the graph with the horizontal line going through -2

1. Looks like 12

that's all I know sorry :((

If the expression represents the distance between -14.6 and -5.2 on the number line. The expression that represents the distance between -14.6 and -5.2 on the number line is 9.4.

What is distance?

Distance between these two points:

Distance = Larger value - Smaller value

Where:

Larger value = -5.2

Smaller value=  -14.6

So,

Distance = -5.2 - (-14.6)

Distance = -5.2 + 14.6

Distance = 9.4

Therefore the expression that represents the distance between -14.6 and -5.2 on the number line is 9.4.

[tex]21.161(17x+2)=24.8[/tex]

Distribute the [tex]21.161[/tex]

[tex]359.737x+42.322=24.8[/tex]

Subtract [tex]42.322[/tex] from both sides

[tex]359.737x=-17.522[/tex]

Divide [tex]359.737[/tex] on both sides

[tex]x=-0.048708[/tex]

Therefore -0.048708 is your answer.