Given the functions:
f(x) = x2 - 9, and g(x) = x3 + 4x² + 8x – 7, find h(x) = f(x) + g(x).
h(x) = - x3 +5x2 + 8x - 16
h(x) = x3 + 3x² + 8x + 2
h(x) = x3 + 5x² + 8x – 16
h(x) = -x3 - 3x2 – 8x - 2
h(x) = -x3 + 3x2+8x+2

Answer:  The box of Weetabix is heavier by 0.01 kg

Step-by-step explanation:

Divide 9/25 to get the decimal equivalent

9÷25 =0.36

Compare Shredded Wheat at 0.35 kg to Weetabix at 0.36 kg

Weight of the box of Shredded Wheat is [tex]0.35[/tex] kg and weight of the box of Weetabix is [tex]0.45[/tex] kg.

So, the box of Weetabix is heavier.

Weight of the box of Shredded Wheat [tex]= 0.35[/tex] kg.

Weight of the box of Weetabix [tex]= \frac{9}{25}[/tex] kg.

Here to compare the two weights, first make both of them similar.

Either make both of them decimals or both of them fraction.

Here, we will make both the weights decimals.

[tex]\frac{9}{20} = 0.45[/tex]

Now, [tex]0.45>0.35[/tex]

So, the box of Weetabix is heavier.

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Answer:

2 1/4

Step-by-step explanation:

-11/2+7 3/4

-11/2 + 31/4

= 9/4

= 2 1/4

Answer:

2 1/4.

Step-by-step explanation:

-5 1/2 + 7 3/4

= 7 3/4 - 5 1/2

= 7 - 5 + 3/4 - 1/2

= 2 + 1/4

=  2 1/4.

Answer:

160 is your answer.

Step-by-step explanation:

I got it right on a test.

Answer:

im sorry im late but its b and c

Step-by-step explanation:

Answer:

y=1/2x-5/4

I hope this helps you and I hope you do well on whatever you are working on.

Answer:

True

Step-by-step explanation:

Answer:

359967

Step-by-step explanation:

6{[(600 x 10²)]} - [(3 x 5) x 2] + 5 - 10 + 2 =

= 6(600 x 100) - [15 x 2] - 5 + 2

= 6(60000) - 30 - 5 + 2

= 360000 - 35 + 2

= 359965 + 2

= 359967

The denominators are 15 and 5

The LCM, or lowest common multiple, of 15 and 5 is 15.

Note how 15 is a multiple of 5.

We can write 3/5 as 9/15 after multiplying top and bottom by 3.

Answer: twin primes

Step-by-step explanation: 27 is 2 more then 25, therefore, they are twin primes.

Answer:

D. [tex]2x^{2} +4x-4[/tex]

Step-by-step explanation:

Remove parentheses.

[tex]2x^{2} -2x+6x-4[/tex]

Add -2x and 6x

[tex]2x^{2} +4x-4[/tex]

Answer:

225

Step-by-step explanation:

Answer:

The answer is 225

Answer:156

Step-by-step explanation: 26÷1/6 =26×6 =156

The intensity level is moderate

In one second Corey's heart will beat 3 times.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Corey's heart beats 26 times in 1/6 minutes.

Assume that her heart beats [x] times in 1 second. Then -

1/6 of minute = 1/6 x 60 = 10 seconds

In 10 seconds, her heart beats 26 times

So, in one second, her heart will beat (26/10) = 2.6 times = 3 times (approx.).

Therefore, in one second Corey's heart will beat 3 times.

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Answer:

R;2 B;1 P;

Step-by-step explanation:

R is red there are 2 reds

B is blue there are 1 blues

P is purple there are 1 purples

Answer:

216

Step-by-step explanation:

12*18=216

hope this helps :3

if it did pls mark brainliest

Answer:

The x-intercept of the line is (3,0)

Step-by-step explanation:

5x - 3y = 15

5x - 3(0) = 15

5x - 0 = 15

(add 0 on both sides the cancel out -0)

5x = 15

(divide by 5)

x = 3

so the x-intercept is (3,0)

Consider we need to find the equation of ellipse.

Given:

Ellipse is centered at the origin.

Major axis is horizontal, with length 8.

The length of its minor axis is 4.

To find:

The equation of ellipse.

Solution:

Major axis is horizontal, so standard form of ellipse is

[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex]       ...(i)

where, (h,k) is center of the ellipse and length of major axis is 2a and length of minor axis is 2b.

Ellipse is centered at the origin. So, h=0 and k=0.

Major axis is horizontal, with length 8.

[tex]2a=8[/tex]

[tex]a=4[/tex]

The length of its minor axis is 4.

[tex]2b=4[/tex]

[tex]b=2[/tex]

Substitute h=0, k=0, a=4 and b=2 in equation (i).

[tex]\dfrac{(x-0)^2}{4^2}+\dfrac{(y-0)^2}{2^2}=1[/tex]

[tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex]

Therefore, the required equation of ellipse is [tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex].

Answer:

29.00

Step-by-step explanation:

Answer: C

Step-by-step explanation: First you have to do y-y÷x-x. So first you do 2-3 which gives you -1. Then you do 6-4 which gives you 2. Then you divide -1÷2 which gives you -0.5x. Now you know it's either C or D because it's negative. For the y-intercept, you have to plug in one of the ordered pairs to y and x using the slope-intercept form.

Answer:

a. 2, because it is the coefficient of the highest degree.

b. 4

c. 5 terms.

d. -10

e. 3, as it is the coefficient of x^2.

If you need more help don't hesitate to ask :)

Answer:

my answer came out to 8.3 repeating

Step-by-step explanation:

Answer:

Lcm of 6 and 12 is 12

Step-by-step explanation:

Because if you do the Lcm =

Answer:rational

Step-by-step explanation:

Answer:

It is rational

Step-by-step explanation:

Since it repeats 5 over and over again it is rational. If the decimal didn't have a pattern like the number 4.598389599527... then the answer would be irrational.

9514 1404 393

Answer:

Step-by-step explanation:

You know the general term of an AP is ...

  an = a1 +d(n-1)

Here, a1 = k. The common difference is ...

  2k/3 -k = -k/3

So, the general term is ...

  an = k +(k/3)(n -1) . . . . the general term

__

The 6th term is then ...

  a6 = k + (k/3)(6 -1) = (3k +5k)/3 = 8k/3 . . . . 6th term

__

The 20th term is ...

  a20 = k + (k/3)(20 -1) = 22k/3

If this is 15, then the value of k is ...

  22k/3 = 15

  22k = 45

  k = 45/22 . . . . value of k for a20 = 15

Answer:

144.21

Step-by-step explanation:

Use Distributive Property to multiply the parentheses.

3.7 ⋅ 42.3 = 156.51

3.7 ⋅ 24.6 = 28.3

Your equation should look like this now:

8^2  ÷ 4 + 156.51 - 28.3

8 to the second power is 64

64 ÷ 4 + 156.51 - 28.3

Divide:

64 ÷ 4 = 16

Equation:

16 + 156.51 - 28.3

Add.

16 + 156.51 = 172.51

Equation:

172.51 - 28.3

Subtract.

144.21

Hope I helped :)

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Answer:

800000000000

Step-by-step explanation:

simplify

start with 10 to the 11th power=

100000000000

then *8 =

800000000000

Answer:

10 x 1.95 = 19.50 so D is your answer, $19.50

if Yasmin buys 10 pounds of peaches. Peaches cost $1.95 per pound then Yasmin pay $19.50 for the  10 pounds of peaches.

Two or more expressions with an Equal sign is called as Equation.

Given that Yasmin buys 10 pounds of peaches

Peaches cost $1.95 per pound

we need to calculate the amount has to pay by Yasmin for the peaches.

1 pound of peaches =$1.95

We need to calculate for 10 pounds.

Use multiplication to find the amount.

10×1.95

$19.5

Hence, if Yasmin buys 10 pounds of peaches. Peaches cost $1.95 per pound then Yasmin pay $19.50 for the  10 pounds of peaches.

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Answer:

[tex] m = \frac{8}{9} [/tex]

Step-by-step explanation:

Given:

[tex] (\frac{6}{2}, \frac{2}{3}) [/tex] and [tex] (2\frac{1}{2}, -\frac{2}{3}) [/tex]

Required:

Slope

SOLUTION:

Formula for slope is given as [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (\frac{6}{2}, \frac{2}{3}) = (x_1, y_1) [/tex]

[tex] (2\frac{1}{2}, -\frac{2}{3}) = (x_2, y_2) [/tex]

[tex] m = \frac{-\frac{2}{3} - \frac{2}{3}}{\frac{3}{2} - \frac{6}{2}} [/tex]

[tex] m = \frac{\frac{-2 - 2}{3}}{\frac{3 - 6}{2}} [/tex]

[tex] m = \frac{\frac{-4}{3}}{\frac{-3}{2}} [/tex]

[tex] m = \frac{\frac{-4}{3}}{\frac{2}{-3}} [/tex]

[tex] m = \frac{-4(2)}{3(-3)} [/tex]

[tex] m = \frac{-8}{-9} [/tex]

[tex] m = \frac{8}{9} [/tex]

Answer:

C. from step 2 to step 3