answer the picture below! 10 points

Answer:

n = 14/3 or 4.667

Step-by-step explanation:

4/n = 6/7

By the method of cross multiplication, we get,

4 x 7 = 6 x n

28 = 6n

n = 28/6

Explanation:

p(-6) = 0 means that plugging x = -6 into p(x) leads to p(x) = 0.

If (x+6) was a factor of p(x), then we can say

p(x) = (x+6)q(x)

where q(x) is some other polynomial. Now let's replace x with -6

p(x) = (x+6)q(x)

p(-6) = (-6+6)q(-6)

p(-6) = 0*q(-6)

p(-6) = 0

The value of q(-6) doesn't matter as multiplying 0 with any number leads to 0.

This is all based on the special case of the remainder theorem that says "if p(k) = 0, then (x-k) is a factor of p(x)".

(x+6) is a factor of p.

The answer is option C.

p(-6) = 0 means that plugging x = -6 into p(x) leads to p(x) = 0.

If (x+6) was a factor of p(x), then we can say

p(x) = (x+6)q(x)

where q(x) is some other polynomial. Now let's replace x with -6

p(x) = (x+6)q(x)

p(-6) = (-6+6)q(-6)

p(-6) = 0*q(-6)

p(-6) = 0

The value of q(-6) doesn't matter as multiplying 0 with any number leads to 0.

This is all based on the special case of the remainder theorem that says "if p(k) = 0, then (x-k) is a factor of p(x)".

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Answer:

(-0.5, 3)

Step-by-step explanation:

You can take the midpoint of the x and y separately, the same way as you calculate an average.

for x: (2 + -3) / 2 = -0.5

for y: (4 + 2) / 2 = 3

Answer:

x>-15

Step-by-step explanation:

if:x+19>4

collect like terms

therefore:

x>4-19

(sign changes when collecting like terms)

+4-19=-15

x>-15

Answer:

yes

Step-by-step explanation:

if both y and x are 0 than it is true that they equal each other since 0=0

Answer:

The width is 5 because if you multiply 16 by 8 by 5 you will get 640 cubed.

Answer:

yes 1.57 is a rational number you could write it as 1 & 57/100 or 157/1000

Answer:

470.273

Step-by-step explanation:

Given the following :

Amount of loan = $15,000

Interest rate = 2.5%, compounded monthly

Period = 1 year, 2 months, 25 days

Using the compound interest formula:

A = P(1 + r/n)^(n*t)

A = final amount, p = principal

r = interest rate ; n = number of times Interst is compounded per time period

t = number of time period elapsed

Period = 1 year, 2 months, 25 days since the

Hence, t = 1+(2÷12)+(25÷(30×12))

A = 15000(1 + 0.025 / 12)^(12×1.2361111)

A = 15000(1 + 0.0020833)^14.833333

A = 15000(1.0020833)^14.833333

A = 15000(1.0313515)

A = 15470.273

Hence, Interest equals :

15470.273 - 15,000

= 470.273

Answer:

The answer is false.

Hoped I helped

Answer:

True

Step-by-step explanation:

A conjecture is based on the evidence you have gathered.

Answer:

6

Step-by-step explanation:

if u count up all the lines then number 6 is the 19th one

Answer:

I don't exactly know how to answer this, maybe I need more information. But if not, then all he can do is add one gallon of yellow paint and one gallon of blue paint. If that's all the paint he has, that is all he can add. Is there a diagram that's supposed to go with this? If not, hope I answered your quesiton.

Answer:

x = -6

Step-by-step explanation:

3x - 4 = 2x - 10

3x - 2x = -10 + 4

x = -6

Answer:

8

Step-by-step explanation:

Number x Square x2 Cube x3

2          4                       8

Answer:

20x²-3x-2

Step-by-step explanation:

(4x+1)(5x-2)

20x²-8x+5x-2

20x²-3x-2

Answer:

12.2 in fraction form is 61/5 or 12 1/5

Step-by-step explanation:

Answer:

x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{2}[/tex](4x - 2) - 3x = 5 - (x + 2) ← distribute parenthesis on both sides

6x - 3 - 3x = 5 - x - 2 , that is

3x - 3 = 3 - x ( add x to both sides )

4x - 3 = 3 ( add 3 to both sides )

4x = 6 ( divide both sides by 4 )

x = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

2x-8

Step-by-step explanation:

The word "from" tells you that the first part of the sentence should be at the back of the equation because you're taking from the product of 2 times a number, the number is unknown so it is known as "x."

Given:

The absolute value equation is

[tex]|x|-2=5[/tex]

To find:

The distance Mary can walk forward, i.e., x.

Solution:

We have,

[tex]|x|-2=5[/tex]

Add 2 on both sides.

[tex]|x|-2+2=5+2[/tex]

[tex]|x|=7[/tex]

[tex]x=\pm 7[/tex]

[tex]x=-7[/tex] and [tex]x=7[/tex]

Here, negative sign represents the distance Mary can walk reverse direction.

Therefore, the correct option is A.

Answer:

8.06

Explanation:

For this question, you have to use the distance formula

Answer:

8.06

Step-by-step explanation:

To find the distance between two points, you would use the distance formula.

The distance formula is:

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

where (x₁, y₁) and (x₂, y₂) are two points.

Lets plug in the points (3, -1) (x₁, y₁) for  (7, -8) for (x₂, y₂):

[tex]\sqrt{(7-3)^{2}+((-8)-(-1))^{2}}[/tex]

= [tex]\sqrt{4^{2}+(-7)^{2}}[/tex]

= [tex]\sqrt{16+49}[/tex]

= [tex]\sqrt{65}[/tex]

≈ 8.06225775

Rounded to the nearest hundredth, it is 8.06.

So the distance between the points B and C rounded to the nearest hundredth is 8.06.

I hope you find my answer helpful.

Answer:

≈ 6 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = F(2, 11) and (x₂, y₂ ) = G(5, 16)

d = [tex]\sqrt{(5-2)^2+(16-11)^2}[/tex]

   = [tex]\sqrt{3^2+5^2}[/tex]

   = [tex]\sqrt{9+25}[/tex]

   = [tex]\sqrt{34}[/tex] ≈ 6 ( to the nearest whole number )

Answer:

2nd option

Step-by-step explanation:

Answer:

Ray EC and Ray ED are opposite rays.

Step-by-step explanation:

Answer:

s= 25/12

Step-by-step explanation:

Answer:

4 bowls

Step-by-step explanation:

Conversion rate :

1 liquid pint = 16 fluid ounces

From the question, we are told that :

4 fluid ounces of bubble mix = 1 bowl

16 fluid ounces of bubble mix(1 liquid pint) = y bowl

Cross Multiply

4 fluid ounces × y bowl = 16 fluid ounces × 1bowl

y bowl = 16 fluid ounces × 1bowl/4 fluid ounces

= 4 bowls

Therefore, he can fill 4 bowls with 1 pint of bubble mix

Answer:

1. rational

2. Irrational

3. Rational

4. what? ummm... that cant be done. the answer for that is (i). i think it is irrational

5. Irrational

6. Rational

7. Irrational

Step-by-step explanation:

Rational number HAVE AN ENDING

Irrational numbers HAVE NO END

Hoped I helped

Answer:

perpendicular

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x = y - 5 ( add 5 to both sides )

3x + 5 = y ← in slope- intercept form

with slope m = 3

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

9y + 4x = x - 9 ( subtract 4x from both sides )

9y = - 3x - 9 ( divide all terms by 9 )

y = - [tex]\frac{1}{3}[/tex] x - 1 ← in slope- intercept form

with slope m = - [tex]\frac{1}{3}[/tex]

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

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

Thus

the slopes are not equal, thus not parallel lines.

3 × - [tex]\frac{1}{3}[/tex] = - 1 , hence lines are perpendicular

Answer:

The humpback whales are 37 times bigger than the krills they eat

Step-by-step explanation:

In this question, we are interested in knowing how much bigger are humpback whales compared to krill.

what is simply happening here is to divide the weight of the humpback whales by the weight of the krills.

From the question, weight of humpback whales = 8 * 10^4 while the weight of the krills are 2.1875 * 10^3

So the number of times the humpback whales are bigger is;

(8 * 10^4)/(2.1875 * 10^3) = 36.57 which are approximately 37 times bigger

Answer:

the new ratio is 1348 likes per min.

Step-by-step explanation:

given:

647,224 likes/8 hours

find:

calculate a unit rate for likes per minute

= 647,224 likes x    1 hour

        8 hours           60 min

= 1348.33

therefore,

the new ratio is 1348 likes per min.