Question 15 of 25
If the factors of a polynomial are x + 8 and x+4, what values of x make that
polynomial O?
A. -8 and -4
B. 8 and -4
C. -8 and 4
D. 8 and 4

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]

[tex]8 \: {m}^{2} - 5 \: m + 1[/tex] ✅

Step-by-step explanation:

[tex] \frac{(16 \: {m}^{3} - 10 \: {m}^{2} + \: 2m) }{2 \: m} \\ \\ = \frac {2 \: m \: (8 \: {m}^{2} - 5 \: m + 1)} {2 \: m} \\ \\ = 8 \: {m}^{2} - 5 \: m + 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

Step-by-step explanation:

It's a cubic.

It has 1 root that cuts the x axis at x = -4

It has 2 roots that are the same. The reason you know this is because the curve touches the x axis, but does not go through the x axis, at 3.

y = (x + 4) (x - 3)(x - 3)

Notice the sign change. x has to have sign change when going from a root to a binomial

The root is - 4. The binomial is (x + 4)

The same argument works for x = 3

Answer:

1. 8:15

2. 6

3. 32

4. 12.4

Answer:

27

Step-by-step explanation:

V_cylinder = pi r^2 h

h = 36

V_cylinder = 36 pi r^2

V_Sphere = 4/3 * pi * r^3

But the volumes are given as equal

36pi r^2 = (4/3) pi r^3                           divide by pi r^2

36 =  4/3 r                                             Multiply both sides by3/4

36 * 3/4 = r

r = 27

Answer:

1:2.25

12/12 = 1

27/12 = 2.25

Hope this helps!

Step-by-step explanation:

1) [tex](-4)^2{\cdot}(-4)[/tex]

We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]

[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]

2) [tex](-2)^5{\cdot} (-2)^3[/tex]

Again using above property,

[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]

3) [tex]5^{-3}[/tex]

We know that,

[tex]a^{-x}=\dfrac{1}{a^x}[/tex]

So,

[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]

4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]

Hence, this is the required solution.

Answer:

Farah bought 1 sandwich which cost $7 and three snack mix bags which also cost (2 + 2 + 2)$

2+2+2+7=$13

Answer:

We have the inequality:

3*(2*x - 1) < 9

Where the given options are:

0, 1, 2, 3, 4

(you wrote k instead of x, but before you wrote "select all the values of x that make that inequality true", then I assume that the variable is x instead of k).

Again, let's start with the inequality:

3*(2*x - 1) < 9

and let's isolate the variable x.

(2*x - 1) < 9/3 = 3

(2*x - 1) < 3

2*x < 3 + 1 = 4

2*x < 4

x < 4/2

x < 2

Then all the values of x that are strictly smaller than 2 make the inequality true.

From the given options (0, 1, 2, 3, 4) the two that make the inequality true are:

x = 0

and

x = 1.

Answer:

(3x + 4)²

Step-by-step explanation:

Let the unknown number be x.

(3x + 4)²

Answer

12+10+10+50+2+3+1=88

Step-by-step explanation:

Answer:

Red pens: 4 boxes

blue pens: 2 boxes

black: 3 boxes

Step-by-step explanation:

Answer:

sinx= d/f

cosx= e/f

tanx= d/e

=====================================

Work Shown:

area = base*height

area = 16*7

area = 112 square cm

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Extra info (optional section):

The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.

Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.

Answer:

in all cases x/100 is just a way to represent percentage. and since it's the same everywhere, it's not even relevant to decide wich option describes the context right

A) 80/140 is the portion that describes the book readers over all people surveyed

B) 31/63 just 63 people are relevant bc it's specified that we only consider beach travelers.

that also explains the 31, bc that's the number of beach travelers who'd like to watch a movie

C) 15/80 only 80 movie watchers in total, of whom 15 would prefer the city

Answer:

D.

Step-by-step explanation:

I don't really know how to explain this over a computer, but it is correct.

Hope that this helps!

Answer:

compressibility, particle motion, shape

Step-by-step explanation:

just took it

Answer:

(-∞, -1]∪{5}

Step-by-step explanation:

We know that:

f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.

So we can just look at the graph, we can see that in the interval:

(-∞, -1]   (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)

the graph is below or intersecting the x-axis

and this also happens at x = 5 or just denoted as {5}

Then the correct notation is:

(-∞, -1]∪{5}

Answer:

9 and 2

Step-by-step explanation:

9+2=11

9×2=18

Answer:

9 and 2

Step-by-step explanation:

Answer:

1/2 chance

Step-by-step explanation:

5 and 10 can be divided down to 1/2

Answer:

1/12 of the lasagna was left

Step-by-step explanation:

To find out how much of the lasagna has been eaten, you have to find the least common denominator (LCD) for the three fractions. The LCD of 1/3, 1/4, and 1/6 is 12 (3x4x6). Now convert all the fractions so that all of their denominators is equal to 72 (1/3=4/12, 1/4=3/12, 1/6=2/12), then add all of the fractions together (4/12 + 3/12 +2/12 = 3/4). 3/4 of the lasagna has been eaten and the remaining lasagna is 1/12 (1-3/4=4/4-3/4).

Answer:

[tex]\frac{1}{4}[/tex] of the lasagna

Step-by-step explanation:

[tex]\frac{1}{4} +\frac{1}{6}+ \frac{1}{3}[/tex]

4 = 2 × 2

3 = 3

6 = 2 × 3

LCM = 2 × 2 × 3

LCM = 12

4 × 3 × 6 = 72

[tex]\frac{18}{72} +\frac{12}{72}+ \frac{24}{72}[/tex]

[tex]\frac{18+12+24}{72}[/tex]

[tex]\frac{54}{72}[/tex]

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

GCF = 2 × 3 × 3

GCF = 18

[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]

[tex]1-\frac{3}{4}[/tex]

[tex]\frac{4}{4} -\frac{3}{4}[/tex]

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

Answer:

-x-6=y

Step-by-step explanation:

Perpendicular slope is -1

-1(-4)+b=-2

B=-6

Answer:

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).

The line y = –8 is

✔ horizontal

The line perpendicular to the line y = –8 is

✔ vertical

The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is

✔ x = –4

Step-by-step explanation:

i got it right

Answer:

18 gallons

Step-by-step explanation:

First get a common denominator (6). So 3/6 are added to the tank when Omar buys 9 gallons of gas. That means for every 1/6, three gallons are added to the tank.

Answer:

The answer I'd the option D

exercise 1

1) 12 000 : 1,33 = 9022,55 €

exercise 2

1) 9200 : x = 100% : 2%

  (9200*2) : 100 = 184 rupees

(sorry dont know the other two ones)

Answer:

I think the answer is yes

Multiply x by 12 to get y

Answer:

240,000

Step-by-step explanation:

standard form means the way you would write it

Answer:

Step-by-step explanation:

Step 1

Find the fraction of the money he gave the charity

Let the total amount he had = 1

Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space.

Fraction of money he gave to charity =

1 - (4/5 + 3/4 + 2/3)

He gives the remaning $50,000 to a charity. How much did he win?

Answer:

B

Step-by-step explanation:

because of order if operations.

Answer:

B

Step-by-step explanation:

The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.

If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.