if (x-10) is a factor of f(x), which of the following must be true? (50 points)

A. Neither x= -10 or x=10 are roots of f(x)
B. f(-10)=0
C.f(10)=0
D. Both x=10 and x=-10 are roots of f(x)

Chad had 96 M&Ms left when he arrived at school.

Chad initially collected 256 M&Ms.

However, he lost 5/8 of them on his way to school through a hole in his bag.

To determine how many M&Ms Chad had left when he arrived at school, we need to calculate the fraction that represents the M&Ms he did not lose.

If Chad lost 5/8 of the M&Ms, it means he kept 1 - 5/8 = 3/8 of them.

To find the number of M&Ms Chad had left, we multiply 3/8 by the total number of M&Ms he initially collected:

(3/8) [tex]\times[/tex] 256 = (3 [tex]\times[/tex] 256) / 8 = 768 / 8 = 96.

Therefore, Chad had 96 M&Ms left when he arrived at school.

In summary, Chad initially collected 256 M&Ms but lost 5/8 of them, leaving him with 3/8 of the total.

Multiplying 3/8 by 256 gives us 96 M&Ms, which is the number of M&Ms Chad had left when he arrived at school.

For similar question on fraction.

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Step-by-step explanation:

7×4-=28-×3×9=27×28-=756-

Answer:

x = -6

Step-by-step explanation:

Combine like terms.

5x + 6 = -24

Subtract 6 from both sides.

5x = -30

Divide by 5 on both sides.

x = -6

Follow Me:-

[tex]3x + 4 + 2x + 2 = - 24 \\ \\ = > 5x + 6 = - 24 \\ \\ = > 5x = - 24 - 6 \\ \\ = > 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{5} \\ \\ = > x = - 6[/tex]

Answer:

Step-by-step explanation:

3,2

Answer:

2,3 because the point is inside the origin or equivalent so the answer has to be 2,3

Answer:

Step-by-step explanation:

To convert time to time, kernel time with 24 (number of time in a day).

To convert time to minutes, kernel with time with 1440 (number of minutes in a day = 24 * 60).

To convert s to seconds, multiply the time by 86400 (number of s in a day = 24 * 60 * 60).

Answer:

D) the bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is 1,792.58 ft

Answer:

y= 132, x= 32.6

Step-by-step explanation:

Let me know if this is right!

Hope it helps

Answer:

1.15x - 0.7x

Step-by-step explanation:

You take the manufacturer’s price and add 15 percent, then subtract 70 percent of the used price from the retail price to get the answer.

Answer:

y = (1/8)x

Step-by-step explanation:

The relevant basic formula is y = kx, where k is the constant of proportionality.

We must find k.  To do this, let y = 15/6 and x = 20 in the above formula:

15/6 = k(20)

We solve for k by dividing both sides by 20:  15/(6*20) = k = 1/8

Then the specific formula for this situation is y = (1/8)x

Answer:

20,000

Step-by-step explanation:

Answer:

%7         1400

100           x

7x=140000

x=20000$

Answer: (27/56)

Step-by-step explanation:

(2 1/4)/(4 2/3)

(9/4)/(14/3)      [Convert the integers on both sides to leave just fractions.

(9/4)*(3/14)      [Invert the denominator and multiply times the numerator]

(27/56)

[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \frac{27}{56} \\ \\ in \: \: alternate \: \: form \\ \\ 0.482142857[/tex]

Step-by-step explanation:

[tex]2 \frac{1}{4} \div 4 \frac{2}{3} [/tex]

[tex] \frac{9}{4} \div \frac{14}{3} [/tex]

[tex] \frac{9}{4} \times \frac{3}{14} [/tex]

[tex] = \frac{27}{56} \\ \\ in \: alternate \: \: form \\ \\ 0.482142857[/tex]

[tex] \: \: \: \: \: \: \: \: \: [/tex]

Answer:

slope = 3/2

Step-by-step explanation:

Step 1: Select two points from the graph.

Step 2: Apply the formula to find slope- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

Therefore, the slope is 3/2.

Answer: .8, -.9, -.5, .9 (estimates)

Step-by-step explanation: correlation coefficients are between -1.0 and 1.0.

    -1.0 means a perfectly negative correlation, which will be a straight line going down from left to right

    0 means no correlation, it's just random points on the graph with no sense of direction or relationship

   1.0 means a perfectly positive correlation, which will be a straight line going up from left to right

the more line-like the shape the data points make are, the further away the correlation coefficient is from 0. you can tell if it's negaitive or positive from the direction of the line.

y is 5% more than 110:

y = 110 x 1.05 = 115.50

x = 5% less than y:

x = 0.95(115.50)

x = 109.725

Answer:

x = 3

Step-by-step explanation:

x² + 15  =  x² + 5x

      15 = 5x

      15 ÷ 5 = x

          3 = x

Applying the tangent ratio, the value of x in the right triangle is approximately: 5.

Tangent ratio that can be applied to solve a right triangle is expressed as: tan ∅ = opp/adj.

Given the following:

tan 63 = 10/x

x = 10/tan 63

x ≈ 5

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Answer:FINDING A SCALE FACTOR Your visually impaired friend asked you to enlarge your notes from class so be can study. You took notes on 8.5-inch by 11-inch.

Step-by-step explanation:thank you

The scale factor is 20/17.

According to the question, you took notes on a paper with dimensions 8.5 inches × 11 inches.

the breadth of the paper is 8.5 inches

the length of the paper is 11 inches

Now, to make an enlarged copy, you used a paper that has its smaller side dimension of 10 inches.

Which means the breadth of the new paper is 10 inches.

So, if we calculate the ratio of the breadths we get the scale factor.

          k = 10 / 8.5

        k = 20/17 is the scale factor of dilation.

Learn more about scale factor:

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Answer:

The student is correct.

Step-by-step explanation:

Given that 5x² = 20:

It is true that the value of x = 2 because 2² = 4, and when you multiply 4 with 5, you'll get a product of 20:

5x² = 20

5(2)² = 20

5(4) = 20

20 = 20

Therefore, the student is correct that x = 2.

~combination

[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]

[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]

[tex] \large \sf = \frac{9!}{6!.3!} [/tex]

[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]

[tex] \large \sf = \frac{362880}{720.6} [/tex]

[tex] \large \sf = \frac{362880}{4320} [/tex]

[tex] \large \sf = \boxed{84}\: ✓[/tex]

~ nice to help you ^^

Answer:The last option is correct.

Step-by-step explanation:

Answer:

The answer is 39.3

Step-by-step explanation:

81.6 - 3 = 78.6

78.6 ÷ 2 = 39.3

Answer:

20 cupcakes

15 cookies

Step-by-step explanation:

20*$1.75=$35

15*$0.75=$14.25

$35+$14.25=$49.25

Answer:

23 cupcakes and 12 cookies

Step-by-step explanation:

Answer:

m=14+10.50h

Step-by-step explanation:

h represents hours. m represents how much he makes

he's going to get 14 dollars, plus 10.50 times however many hours he works.

Answer:

the graph would just be a straight line going up at points (0, 0.5)

Step-by-step explanation:

This would have no slope

Answer:

Below!

Step-by-step explanation:

The slope is 1. The unit rate is $4.75/min If the graph of a proportional relationship passes through the point (1 , R) then r equals the slope and the unit rate. $4.75 per min.

The slope of the graph resembles the unit rate.

The unit rate is the amount it cost per minute.

The graph passes through the point (1, 3.40), which means it is at x = 1, the rate is $4.75.  

Answer:

Having trouble using logarithmic differentiation!

Answer:

y=5x+200

Step-by-step explanation:

x=number of handbags

y-intercept=200

slope=5

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