David correctly factored the expression m^2-12m - 64.
Which expression did he write?
(1) (m - 8)(m - 8) (3) (m - 16)(m +4)
(2) (m - 8)(m + 8) (4) (m +16)(m - 4)
Explain why

Answers

Answer 1

Answer:

(m-16)(m+4)

Step-by-step explanation:

To factor a quadratic expression

First write the variable in each parentheses, then put negative/ positive, after that ask yourself what numbers have the product of the coefficient of x^0 and the sum of x^1.

Answer 2

David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4).

How to factor an equation?

An equation can be factored into its factors by splitting the middle term of the equation.

The given expression can be factored as shown below:

m^2 - 12m - 64 = 0

⇒ m^2 - 16m +4m - 64 = 0

⇒ m(m - 16) + 4(m - 16) = 0

⇒ (m + 4)(m - 16) = 0

The factors of the equation m^2 - 12m - 64 = 0 are (m - 16)(m + 4).

Therefore, we have found that David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4). The correct answer is option C or (3).

Learn more about factorization here: https://brainly.com/question/25829061

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Related Questions

Find the 43rd term of each sequence.
1. 21,12,9,3,...

Answers

Answer:

-231

Step-by-step explanation:

21, 12, 9, 3,...

Below is image

Answer:

-357

Step-by-step explanation:

a + (n-1)d

21+(42)(-9)

21-378

Asphere and a cylinder have the same radius and height. The volume of the cylinder is 64 m3.
hl
.

Answers

Answer:

r=21.3 h=32

Step-by-step explanation:

Simplify the expression

Answers

Answer:

 x^(3)y^(4)\sqrt(2)

Step-by-step explanation:

The frequency table represents the results of a survey comparing the average age of household members to the way that they watch non-network television. A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries 54, 81, 135. the third column is labeled average household age 40 or older with entries 23, 92, 115. the fourth column is labeled total with entries 77, 173, 250. Madigan converts the frequency table to a conditional relative frequency table by row. Television Viewing Method A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries W, Y, 0.54. The third column is labeled average household age 40 or older with entries X, Z, 0.46. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Which value should she use for X? Round to the nearest hundredth. 0.09 0.20 0.25 0.30

Answers

Answer:

For X they would have to divide the number from the first given chart for average household of the people that are ages 40 or under, which is 23, by the total internet, which is now 77.

Therefore, X = 23/77 = 0.2987, which would round to 0.30

Mark as brainliest please, I need a few more :)

Answer:

.30

Step-by-step explanation:

                 < 40      > 40    total

internet       54        23     77  

cable          81        92      173  

total            135       115     250

                 < 40      > 40    total

internet      w       x     1  

cable          y          z      1

total            .54       .46     1

x is 23 /77 =.29870

What is the slope of the line that passes through the points (3, 4) and (0,–2)?
Write your answer in simplest form.

Answers

Answer:

Slope = 1/2

Whole equation: y = 1/2x - 2

Step-by-step explanation:

Equation: y = mx + b

(3 , 4) and (0 , -2)

[tex]\frac{0 - 3}{-2 - 4} = \frac{-3}{-6} = \frac{1}{2}[/tex]

y = 1/2x + b

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

-2 = 1/2(0) + b

-2 = b

What is the point-slope form of a line with slope -3 that contains the point
(10,-1)?
A. y+ 1 = 3(x + 10)
B. x + 1 = -3(y-10)
C. y + 1 = -3(x-10)
D. y + 1 = 3(x-10)

Answers

Answer:

C

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula.

The point slope formula is:

[tex]y-y_{1} =m(x-x_{1})[/tex]

where m is the slope, and (x1, y1) is the point given.

We know that the slope is -3, and the point given is (10, -1)

Therefore, our m is -3, x1 is 10, and y1 is -1.

y- -1 = -3(x-10)

y--1 is the same as y+1

y+1= -3(x-10)

Therefore, choice C is correct.

37.5(3.8-x)+90x=300 please help me

Answers

Answer:

I’m just copying his answer which is 3

Step-by-step explanation:

at least I tried

Answer: 3

Step-by-step explanation:

37.5 (3.8-x) + 90x = 300

First, you have to simplify, by using the Distributive Property.

142.5 - 37.5x + 90x = 300

Now, add the like terms

142.5+ 52.5x = 300

Now, isolate the variable, meaning the variable has to be on one side on its own. You would have to subtract 142.5 and move it to the other side

52.5x = 300 - 142.5

52.5x = 157.5

Then, you divide!

[tex]\frac{52.5x}{52.5x}[/tex] = [tex]\frac{157.5}{52.5x}[/tex]

= 3

Select the table that represents a linear function.

Answers

Answer:

D

Step-by-step explanation:

A linear function has a constant slope. Meaning that for any equal change in x, there will be an equal change in y.

If A = (0,0) and B = (6,3), what is the length of AB?
O A. 6.24 units
O B. 7.73 units
O C. 5.20 units
O D. 6.71 units

Answers

Answer:

D. 6.71 units

Step-by-step explanation:

In order to solve this, we need to use the distance formula, which states that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Here, we have (0, 0) and (6, 3), so:

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

d = [tex]\sqrt{(3-0)^2+(6-0)^2}=\sqrt{9+36} =\sqrt{45} =3\sqrt{5}[/tex] ≈ 6.71

The answer is thus D.

Answer:

D 6.71 units

Step-by-step explanation:

AB² = (6 - 0)² + (3 - 0)²

AB² = 36 + 9

AB² = 45

AB = 3sqrt(5)

Approximately 6.71

-1 3/7 • (-3 2/5)
Find the product simplify if possible

Answers

Answer:

6 4/5

Step-by-step explanation:

-1 3/7 • (-3 2/5)

Let's turn them both into fractions with no whole numbers to make this easier:

-10/7 • -17/5

Now we can multiply straight across much easier!

170/35 (the negatives canceled each other out)

34/5 (simplified)

6 4/5 (answer)

Hope this helps! Please mark Brainliest :)

Please help me out! i have a few more of these questions, about 5

Answers

Answer: You could plot the points  (0,-2) ( 1,0) ( 2,2) (3,4) ( 4,6) (5,8) ( -1,-4) (-2.-6)

Step-by-step explanation:

y= 2x - 2

x      y

0    -2

1       0

2      2

3        4

4        6

5          8

-1        -4

-2            -6

polynomial division
(4x^2 +7x +6) ÷(x+ 2)​

Answers

Answer:

4x2 + 7x - 6

 ————————————

    x - 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are many methods but I give you the factorisation:

[tex]4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8[/tex]

So

[tex]\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}[/tex]

That means the quotient is 4x-1 and the remainder is 8.

Name the values represented by the box plot.

Lower quartile:

Upper quartile:

Median: ​

Answers

Answer:

Lower quartile=46

Upper Quartile=52

Median=48

Step-by-step explanation:

Look at the three dots on/in the plot the first one is the lower quartile and the middle is the median and the last one in the box plot  (52)is the upper quartile, the ones on the outsides are the minimum and the maximum.

In the expression 16x + 2x – 5y + 17, which terms are “like terms”?

Also i didn't mean to say exam on last question, turns out it was a quiz, my bad it just has alot of questions over 4, it has 6.

Answers

the like terms are 16x and 2x

Answer:

16x and 2x have like terms

Tomas selects one of these garments at random. Let AAA be the event that he selects a blue garment and let BBB be the event that he chooses a shirt.
Please help!!!

Answers

Answer:

can u explain it more lol

Step-by-step explanation:

1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

Thomas has 1 blue shirt

Thomas has 1 green shirt

Thomas has 1 blue hat

Thomas has 1 green scarf

Thomas has 1 blue pair of pants

Thomas has 1 green pair of pants

So, number of blue garments = 3

Number of shirts = 2

Total garments =6

What is probability?

Probability is the measure of the likelihood of an occurrence.

P(event) = Favorable outcomes / Total outcomes

P(blue garment) = 3/6 =1/2

P(shirt) = 2/6 =1/3

Hence, 1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

To get more about probability visit:

https://brainly.com/question/24756209

Factor out the Greatest Common Monomial Factor 8a + 86

Answers

Answer:

-1.12044185014

Step-by-step explanation:

i think this is the answer. i looked it up.

Answer:

2(4a + 43)

Step-by-step explanation:

8a + 86

2(4a + 43)

Use the Counting Principle to find the probability.

rolling a 1 on each of 4 number cubes?

Answers

Answer:

1 / 1296

Step-by-step explanation:

Rolling a 1 for one of the cubes is 1 / 6

1 / 6 * 1 / 6 * 1 / 6 * 1 / 6 = 1 / 1296

Answer:

1 / 1296

Step-by-step explanation:

We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on 1 cubes.

We know the probability of rolling a 4 on one cube will be .  the probability of rolling 4 in each of the individual cubes will be .

But we want 4 to be rolled on 1 cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the 1 cube is  which simplifies to . 1 / 1296

Hope this helps

A letter L with a height of 9 inches is drawn on the actual flag. What should be the height and inches of a letter L in the scale drawing? Explain plzzz....

Answers

Answer:

0.5 inch on the drawing

Step-by-step explanation:

The following information is missing:

The scale factor of the drawing to the actual flag is represented by the ratio 1:18.

This scale factor means that 1 inch on the drawing are equivalent to 18 inches o n the actual flag. We want to know the height on the drawing, given that a height of 9 inches is drawn on the actual flag. The following proportion must be satisfied:

1 inch on the drawing / x inch on the drawing = 18 inches o n the actual flag / 9 inches o n the actual flag

x = 9/18 = 0.5 inch on the drawing

Please, someone, help me quickly!!

Answers

Answer:

(B)

Step-by-step explanation:

The value of 9 is more than the value than 4.

Therefore,

9 > 4.

4 is not greater than 9, and nine is not less than four.

Brainilest Appreciated!

If a cube has a volume of 27mm3,
what is the length of one side?

Answers

Answer:

Step-by-step explanation:

Answer:

9mm

Step-by-step explanation:

since volume is l x w x h, you have to divide 27 by 3. you can do this because it is a cube

Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x – 2 points
4. What equation represents the area of the floor?

Answers

Answer:

(6x+5)(9x-2)

Step-by-step explanation:

Area = Length x Width

Answer:

54[tex]x^{2}[/tex] +33x - 10

Step-by-step explanation:

you have to use F.O.I.L.  First Outter Inner Last

(6x + 5)(9x - 2)

First (6x)(9x)         = 54 [tex]x^{2}[/tex]

Outter (6x)(-2)      = -12x

Inner (5)(9x)         = 45 x

Last (5)(-2)            = -10

combine middle terms

54[tex]x^{2}[/tex] +33x - 10

help pls!!!!!!!!!!!!

Answers

Answer:

w=9z

Step-by-step explanation:

For each z value, w is 9 times that. For instance, 18 is 9 times 2, and 45 is 9 times 5. Therefore, the equation that would describe this is w=9z. Hope this helps!

Answer:

z = (1/9) w or w = 9z

Step-by-step explanation:

w = 18 , z = 2

if relationship is proportional than z = k (constant) *w

2 = k * 18 divide each side by 18

k = 2/18 = 1/9

Pls someone I need help

Answers

Answer:

B. Dan walked uphill, then downhill.

Step-by-step explanation:

The place that the slope went up is based on the distance from the starting point, so the distance is up then down. I hope this helped and please mark me as brainliest!

6% of x = 1.2; what is x

Answers

Answer:

x =20

Step-by-step explanation:

6% of x = 1.2

Change percent to decimal form

.06x = 1.2

Divide each side by .06

.06x / .06 = 1.2/.06

x =20

Answer is X=20 change % to a decimal

Find the domain and range

Answers

Answer:

Domain: x = all reals

Range: y is less than or equal to -4

Please help me as soon as possible!

Answers

0.5 is the answer

......


A running track is 1/4 of a kilometre. What is the
total distance a runner travels if he goes three
times round the track?
How many times would you have to go round the
track to run 2 kilometres?
Willow has read 1/7 of the books in the library.

Answers

Answer:

If a runner went around the track 3 times, he would have ran 3/4 of a kilometre. He would have to run around the track 8 times to run 2 kilometres.

Step-by-step explanation:

Answer:He would have to go around the track 8 times to get 2 kilometers

Step-by -step explanation:

Please help me!! I don't get this question! I will mark Brainliest!

Circle A has a diameter of 4 inches, a circumference of 12.56 inches, and an area of 12.56 square inches. The diameter of circle B is 2 inches, the circumference is 6.28 inches, and the area is 3.14 square inches. SHOW ALL STEPS.

Part A: Using the formula for circumference, solve for the value of pi for each circle. (10 points)

Part B: Use the formula for area and solve for the value of pi for each circle. (10 points)

Part C: What observation can you make about the value of pi for circles A and B? (10 points)

Answers

Answer:

Part A:

Formula for circumference: C = diameter x pi

=> pi = C/diameter

=> pi(A) = 12.56/4 =3.14

=> pi(B) = 6.28/2 = 3.14

Part B:

Formula for area: A = radius^2 x pi = (diameter/2)^2 x pi

=> pi = A/(diameter/2)^2

=> pi(A) = 12.56/(4/2)^2 = 12.56/4 = 3.14

=> pi(B) = 3.14/(2/2)^2 = 3.14/1 = 3.14

Part C:

pi(A) = pi(B) = 3.14 in both ways of calculation derived from circumstance and area.

=> pi is a constant value: 3.14

Answer:

A) pi = 3.14

B) pi = 3.14

C) pi has the same value for all calculations, pi is a constant

Step-by-step explanation:

Circumference = pi × d

12.56 = 4 × pi

pi = 3.14

6.28 = 2 × pi

pi = 3.14

Area = pi × r²

12.56 = pi × (4/2)²

12.56 = 4pi

pi = 3.14

3.14 = pi × (2/2)²

3.14 = pi

What is the volume of the right cone below?

Answers

Answer:

The answer is A.

Step-by-step explanation:

You have to use the formula of volume of cone,

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Given that the diameter of cone is 10 units so the radius is 5. Then substitute the followung values into the formula :

Let r = 5 units,

Let h = 45 units,

[tex]v = \frac{1}{3} \times \pi \times {5}^{2} \times 45[/tex]

[tex]v = \frac{1}{3} \times \pi \times 1125[/tex]

[tex]v = 375\pi \: \: {units}^{3} [/tex]

Answer:

[tex]375\pi \: \: units ^{3} [/tex]

Answer A is correct.

Step-by-step explanation:

[tex]v = \pi {r}^{2} \frac{h}{3} \\ =\pi \times 5 \times 5 \times \frac{45}{3} \\ = \pi \times 25 \times 15 \\ = 375\pi \: \: units ^{3} [/tex]

Solve for x.

x + 23 = -22

Enter your answer in the box.

Answers

Answer:

X= -45

Step-by-step explanation:

Subract 23 from both sides to solve for x.

Answer:

x = -45

Step-by-step explanation:

x + 23 = -22

x = -22-23

x = -45

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