an expression is given: 35c + 14b - 7 . use the GCF of the terms to write an equivalent expression.

Answer:

x³+4x²-9

Step-by-step explanation:

x+3=0

x=-3

put x=-3 into x³+4x²-9, if it is equal to zero then it is dividsble

so, (-3)³+4(-3)-9=0

so a is correct

The polynomial A(x) is divisible by (x+3).

A factor is a number or expression that divides another number or expression  leaving no remainder.

If p(x) be the polynomial, then p(x) is divisible by q if q is the factor of p(x).

According to the given question

we have different polynomials

[tex]A(x) = x^{3} +4x^{2} -9[/tex]        

When we divide A(x) by (x+3) we get remainder 0.

⇒ (x+3) is a factor of A(x).

Hence, the polynomial  A(x) is divisible by (x+3).

[tex]B(x) = x^{3} -22 -18[/tex]

⇒ [tex]B(x) = x^{3} -30[/tex]

When we divide B(x) by (x+3) we get remainder -57.

⇒ (x+3) is not a factor of B(x)

Hence, the polynomial B(x) is not divisible by (x + 3).

[tex]C(x) =x^{3} -6x -9[/tex]

By dividing C(x) by (x +3)  we get remainder -18

⇒ (x+3) is not a factor of C(x).

Hence, C(x) is not divisible by (x+3).

[tex]D(x) = x^{3} + 3x + 3[/tex]

By dividing  D(x) by (x+3), we get remainder -33.

⇒ (x+3) is not a factor of D(x).

Hence, D(x) is not divisible by (x+3).

Thus, the polynomial A(x) is divisible by (x+3).

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Answer:

1300cm

Step-by-step explanation:

1 meter has 100cm, so 13 meters is 13 * 100cm = 1300cm

Answer: It's not 10 lol

Step-by-step explanation:

Answer:

11+6=17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

11+6=17

Answer:

(3,6)

Step-by-step explanation:

We can substitute y for x+3 in the second equation

4x + x + 3 = 18

5x = 15

x=3

Plug x back into the equation

y = 3 + 3

y = 6

Answer:

B (3 ; 6)

Step-by-step explanation:

y = x + 3

4x + y = 18

4x + (x + 3) = 18

5x = 18 - 3

5x = 15

x = 3

y = x + 3

y = 3 + 3

y = 6

Answer:

4

Step-by-step explanation:

4/1=4

7/7=1

Answer:

D x>-3

Step-by-step explanation:

3(-x+2) < 15

-3x + 6< 15 (Subtract 6 from both sides)

-3x < 9 (Divide 3 on both sides)

x>-3 (Flip the inequality because the variable was negative)

Pascal's triangle up to the 5th iteration is

[tex]\begin{array}{cccccc}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\\1&5&10&10&5&1\end{array}[/tex]

This tells us

[tex](x-2)^5=\boxed{1}x^5(-2)^0+\boxed{5}x^4(-2)^1+\boxed{10}x^3(-2)^2+\boxed{10}x^2(-2)^3+\boxed{5}x^1(-2)^4+\boxed{1}x^0(-2)^5[/tex]

so the second term in the expansion is

[tex]5x^4(-2)^1=\boxed{-10x^4}[/tex]

Answer:

4 cm

Step-by-step explanation:

V=L×W×H

V=1 litre = 1000 cm³

H= V/LW

1000/(12.5×20)=4

height= 4cm

Answer:

8x6=48+10=98 answer is 98 i think

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

5x - 2 = 10 - x

Add x to both sides

6x - 2 = 10

Add 2 to both sides

6x = 12

Divide both sides by 6

x = 2

Answer:

So we can first use the distance formula which is for 2 dimensional but seen as we're in 1 dimensions we dont have to use it. So we can just get the distance between them using a formula I made -

|a-d| = distance

So if we use that formula we can get that -7-(-2) = -7+2 = -5. Then take the absolute value which is 5.

Therefore the answer is

Answer:

Step-by-step explanation:

y - 5 = 3(x+ 2)

y - 5 = 3x + 6

y = 3x + 11

Answer: Yes, it must.

Step-by-step explanation:

By definition, a definite offer must offer enough information to the offerer to understand the offer. In other words, the terms must be clear enough for the offerer to understand the offer and decide if he/she accepts the offer or not.

So yes, a definite offer must include enough information to infer the terms, if not, this is not a definite offer.

The answer would be B.

46

-67

-------

-21

I checked my math.

Answer: A.  46 - n = -21

n=67

Step-by-step explanation:

edge

Answer:

64 ft squared.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

x = 13

Angle 1 = 150 degrees

Angle 8 = 30 degrees

Step-by-step explanation:

11x + 7 + x + 17 = 180

12x + 24 = 180

12x = 180 - 24

12x = 156

x = 13

11(13) + 7 = 150

(13) + 17 = 30

The co-interior angles are solved and x = 13

The measure of angle 1 = 150°

The measure of angle 1 = 30°

Given data:

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line.

Alternate angles are equal

Corresponding angles are equal

Co-interior angles add up to 180°

The angles 1 and 8 are co-interior angles.

So, 11x + 7 + x + 17 = 180

12x + 24 = 180

12x = 180 - 24

12x = 156

x = 13

So, the measure of angle 1 = 11(13) + 7 = 150°

The measure of angle 8 = (13) + 17 = 30°

Hence , the parallel lines are solved.

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The complete question is attached below:

In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to and the measure of angle 1 is degrees. The measure of angle 8 is degrees.

Answer:

X= 6

Step-by-step explanation:

Do the opposite instead of addition do subtraction to get x

25 minus 19

Answer:

Tyler should be suggested to deposit his money in Compound interest because it compound the interest for all the Successive years which give more interest then Simple interest

Answer:

compound interest

Step-by-step explanation:

Hope it helps.

Answer:

b = 6

Step-by-step explanation:

y = 2x = + b

6 = 2 ×(0) + b

b = 6

Answer:

(6,0)

Step-by-step explanation:

First, let's find the line. We can do that by using the slope-intercept form of a line which is y = mx + b where m and b are the slope and y-intercept respectively. We know b = -18 and we can find m by doing (-18 - 6) / (0 - 8) = -24 / -8 = 3. Therefore, the equation of the line is y = 3x - 18. To find the x-intercept, we'll set y equal to 0. We get 0 = 3x - 18 → 3x = 18 → x = 6. Therefore, the x-intercept is (6,0). Hope this helps!

Answer:

A≈804.25

Step-by-step explanation:

Divide the height by 2 which is 8 and then

A=4πr2=4·π·82≈804.24772

Answer:

15 cubic units

Step-by-step explanation:

Answer: | t- 98.6 | ≤ 3

Temperatures less than  95.6 and higher than 101.6 will be considered unhealthy.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality

.

| t- 98.6 | ≤ 3

Where t is the body temperature.

The absolute value inequality has 2 solutions:

1st solution

t-98.6≤ 3

t ≤ 3+98.6

t≤ 101.6

2nd solution

-(t-98.6) ≤ 3

-t+98.6 ≤ 3

98.6-3 ≤ t

95.6≤ t

Both:

95.6≤ t ≤ 101.6

Temperatures less than 95.6 and higher than 101.6 will be considered unhealthy.

Answer:

he needs 12.50 left

Step-by-step explanation:$62.50-$50

Answer:$12.50

Step-by-step explanation: This is a simple subtraction problem. You take the amount of the DVD player ( which is $62.50 ) and subtract the amount of money Jack has on him ( which is $50 ).

$62.50 - $50.00 = $12.50

Answer:

The correct answer is "Option C".

Step-by-step explanation:

Given:

[tex]\bold{ 1) y= -\tan (x- \frac{\pi}{2})}\\\\\bold{ 2) y= \tan (x+ \frac{\pi}{2})}\\\\\bold{ 3) y= -\cot (x- \frac{\pi}{2})}\\\\\bold{ 4) y= \cot (x+ \frac{\pi}{2})}\\\\[/tex]

solve the above equation:

[tex]\Rightarrow 1) \ y= -\tan (x- \frac{\pi}{2})\\\\\Rightarrow \ y= \tan (\frac{\pi}{2}-x)\\\\\Rightarrow \ y= \cot x \ \ \ \ \ \bold{ that \ matchs \ graph \ D}\\\\ \Rightarrow 2) \ y= \tan (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= - \cot x \ \ \ \ \bold{ that \ matchs \ graph \ A}\\\\[/tex]

[tex]\Rightarrow 3) \ y= -\cot (x- \frac{\pi}{2})\\\\\Rightarrow \ y=\cot ( \frac{\pi}{2}-x)\\\\\Rightarrow \ y=\tan x\ \ \ \ \bold{that \ matchs \ graph \ C}\\\\[/tex]

[tex]\Rightarrow 4) \ y= \cot (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= \cot (\frac{\pi}{2}+x)\\\\\Rightarrow \ y= \ -tan x \ \ \ \ \ \bold{ that \ matchs \ graph \ A}[/tex]

The final answer is "Option C".

Answer:

c

Step-by-step explanation:

Answer: I got this hope this helps

(-y)(-3x)+14

Step-by-step explanation: