If f(x) = -2x2 + x – 5, what is f(3)?

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:

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:

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:

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

Step-by-step explanation:

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: | 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:

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).

Learn more about factor theorem here:

https://brainly.com/question/12959513

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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:

15 cubic units

Step-by-step explanation:

Answer:

X= 6

Step-by-step explanation:

Do the opposite instead of addition do subtraction to get x

25 minus 19

Answer:

4

Step-by-step explanation:

4/1=4

7/7=1

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.

To learn more about angles in parallel lines click :

https://brainly.com/question/27400033

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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:

b = 6

Step-by-step explanation:

y = 2x = + b

6 = 2 ×(0) + b

b = 6

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)

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:

1300cm

Step-by-step explanation:

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

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:

11+6=17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

11+6=17

Answer:

80 units

Step-by-step explanation:

Area of trapezoid: a+b/ 2 * H

a = top, b= bottom, H = height

6+14/2 * 8

20/2 *8

10*8

80

Answer:

20

Step-by-step explanation:

To find area using coordinates, you would take the y-value of the first coordinate and the x-value of the second coordinate and multiply them. Then, take the x-value of the first coordinate and multiply it with the second y-coordinate. Take the second number and subtract it from the first number. for multiple coordinates, you would multiply the first and the second, the second and the third, and so on. Once you reach the last coordinate, just multiply it by the first again. then, take all of the numbers, from multiplying your coordinates and add them together and divide them by 2 to find your area.

We would start with coordinate (8,1) here because it's letter variable is W, which is first of the others alphabetically.

(8,1) (1,1)

1 x 1 = 1

8 x 1 = 8

1 - 8 = -7

next coordinate:

(1,1) (2,5)

1 x 2 = 2

1 x 5 = 5

2 - 5 = -3

next:

(2,5) (5,5)

5 x 5 = 25

2 x 5 = 10

25 - 10 = 15

next:

(5,5) (8,1)

5 x 5 = 40

5 x 1 = 5

40 - 5 = 35

-7 - 3 + 15 + 35 = 40

40/2 = 20

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.

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: 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.

Answer: It's not 10 lol

Step-by-step explanation:

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: I got this hope this helps

(-y)(-3x)+14

Step-by-step explanation:

Answer:

Step-by-step explanation:

y - 5 = 3(x+ 2)

y - 5 = 3x + 6

y = 3x + 11