Perform the operation. (-4x^2-2x-6)-(-7x^2-2x-2)

Answers

Answer 1

Answer:

3x²-4

Step-by-step explanation:

1 distribute

(-4x²-2x-6)+7x²+2x+2

2 eliminate redudant parentheses

-4x² -2x - 6+7x² +2x+2

3 Add the numbers

-4x²-2x-4+7x²+2x

4 Combine like terms

3x²-2x-4+2x

5 Combine like terms

3x²-4

Answer 2

Answer:

[tex]3x^{2} -4[/tex]

Step-by-step explanation:

Before solving this you have to know that,

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( + )

( - ) × ( + ) = ( - )

Let us solve now.

[tex](-4x^2-2x-6)-(-7x^2-2x-2)[/tex]

[tex](-4x^2-2x-6)+7x^{2} +2x+2[/tex]

[tex]-4x^2-2x-6+7x^{2} +2x+2[/tex]

Now combine like terms

[tex]-4x^{2}+7x^{2} -2x+2x-6+2[/tex]

[tex]3x^{2} -4[/tex]

Hope this helps you .

Let me know if you have any other questions :-)


Related Questions

first middel schooler to answer gets brainlest what is 124x6?

Answers

Answer:

744

Step-by-step explanation:

If g(x) =3-2x, find g(-1) (show work)

Answers

g(-1)=3-2(-1)
=5
Hence the correct answer should be 5

Can someone help me with this one too

Answers

the answer is x = -2

mark me brianliest

Answer:

3(4-2P) = 6*4

12-6P=24

-6P=24-12

P= 12/-6

P= -2

Steph makes 90 % 90%90, percent of the free throws she attempts. She is going to shoot 3 33 free throws. Assume that the results of free throws are independent from each other. Let X XX represent the number of free throws she makes. Find the probability that Steph makes exactly 1 11 of the 3 33 free throws. You may round your answer to the nearest hundredth. P ( X = 1 ) =

Answers

Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

He makes 90% of the free throws, hence [tex]p = 0.9[/tex].He is going to shoot 3 free throws, hence [tex]n = 3[/tex].

The probability that he makes exactly 1 is P(X = 1), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{3,1}.(0.9)^{1}.(0.1)^{2} = 0.027[/tex]

0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Answer:

0.03

Step-by-step explanation:

I just did it on Khan

Need help ASAP! Question in picture;)

Solve for x.

Answers

Step-by-step explanation:

[tex]30 + 4x + 2 = 80[/tex]

[tex]4x + 32 = 80[/tex]

[tex]4x = 48[/tex]

[tex]x = 12[/tex]

Answer:x = 12.Step-by-step explanation:30 + (180 - 80) + 4x + 2 = 180=> 30 + 100 + 4x + 2 = 180=> 132 + 4x = 180=> 4x = 180 - 132=> 4x = 48=> x = 12Conclusion:

Therefore, the answer is x = 12.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Let f(x)=root2x. If the rate of change of f at x=c is four times its rate of change at x=1 then c=?

Answers

Answer:

[tex]c=\frac{1}{16}[/tex]

Step-by-step explanation:

[tex]f(x)=\sqrt{2x}[/tex]

[tex]f'(x)=\frac{\sqrt{2x}}{2x}[/tex]

[tex]f'(1)=\frac{\sqrt{2}}{2}[/tex]

[tex]f'(c)=\frac{\sqrt{2c}}{2c}[/tex]

[tex]f'(c)=4f'(1)[/tex]

[tex]\frac{\sqrt{2c}}{2c}=4(\frac{\sqrt{2}}{2})[/tex]

[tex]\frac{\sqrt{2c}}{2c}=2\sqrt{2}[/tex]

[tex]\sqrt{2c}=4c\sqrt{2}[/tex]

[tex]2c=32c^2[/tex]

[tex]2=32c[/tex]

[tex]\frac{1}{16}=c[/tex]

The product of three less than a number and eight is nine

Answers

Let n = the number
(n-3)(8)=9
Multiply
8n-23=9
Add 23 to both sides
8n=32
Divide by 8 on both sides
n=4

Answer:

[see below]

Step-by-step explanation:

Three less than a number (x) would be: x - 3

"The product of three less than a number and eight" would be 8(x-3).

The product of three less than a number and eight is nine would be:

8(x-3) = 9

[tex]8(x-3) = 9\\\rule{150}{0.5}\\8x - 24 = 9\\\\8x - 24 + 24 = 9 + 24\\\\8x = 33\\\\\frac{8x = 33}{8}\\\\x = \frac{33}{8}[/tex]

Hope this helps.

A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m^3/min. How fast is the height of the water increasing

Answers

Answer:

[tex]\frac{3}{25\pi}[/tex] meters per minute

Step-by-step explanation:

Given:

[tex]V=\pi r^2h[/tex]

[tex]r=5[/tex]

[tex]\frac{dV}{dt}=3[/tex]

[tex]\frac{dh}{dt}=?[/tex]

Substitute r=5:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi(5)^2h[/tex]

[tex]V=25\pi h[/tex]

Differentiate both sides:

[tex]\frac{d}{dt}V=\frac{d}{dt}(25\pi h)[/tex]

[tex]\frac{dV}{dt}=25\pi\frac{dh}{dt}[/tex]

Solve for dh/dt:

[tex]3=25\pi\frac{dh}{dt}[/tex]

[tex]\frac{3}{25\pi}=\frac{dh}{dt}[/tex]

Therefore, the height of the water is increasing at a rate of [tex]\frac{3}{25\pi}[/tex] meters per minute.

How do I find the inverse?

Answers

g(x) as given has no inverse because there are instances of two x values giving the same value of g(x). For instance,

x = -1   ⇒   g(-1) = 4 (-1 + 3)² - 8 = 8

x = -5   ⇒   g(-5) = 4 (-5 + 3)² - 8 = 8

Only a one-to-one function can have an inverse. g(x) is not one-to-one.

However, if we restrict the domain of g(x), we can find an inverse over that domain. Let [tex]g^{-1}(x)[/tex] be the inverse of g(x). Then by definition of inverse function,

[tex]g\left(g^{-1}(x)\right) = 4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]

Solve for the inverse:

[tex]4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]

[tex]4 \left(g^{-1}(x) + 3\right)^2 = x + 8[/tex]

[tex]\left(g^{-1}(x) + 3\right)^2 = \dfrac{x + 8}4[/tex]

[tex]\sqrt{\left(g^{-1}(x) + 3\right)^2} = \sqrt{\dfrac{x + 8}4}[/tex]

[tex]\left| g^{-1}(x) + 3 \right| = \dfrac{\sqrt{x+8}}2[/tex]

Recall the definition of absolute value:

[tex]|x| = \begin{cases}x & \text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]

This means there are two possible solutions for the inverse of g(x) :

• if [tex]g^{-1}(x) + 3 \ge 0[/tex], then

[tex]g^{-1}(x) + 3 = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]

• otherwise, if [tex]g^{-1}(x)+3<0[/tex], then

[tex]-\left(g^{-1}(x) + 3\right) = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3-\dfrac{\sqrt{x+8}}2[/tex]

Which we choose as the inverse depends on how we restrict the domain of g(x). For example:

Remember that the inverse must satisfy

[tex]g\left(g^{-1}(x)\right) = x[/tex]

In the first case above, [tex]g^{-1}(x) + 3 \ge 0[/tex], or [tex]g^{-1}(x) \ge -3[/tex]. This suggests that we could restrict the domain of g(x) to be [tex]x \ge -3[/tex].

Then as long as [tex]x \ge -3[/tex], the inverse is

[tex]g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]

What is the sum of the first 32 terms in the arithmetic
series 3 + 10 + 17 + …?

Answers

Answer:

30

Step-by-step explanation:

Find the area of the semicircle.
Either enter an exact answer in terms of pi or use 3.14 for IT and enter your answer as a decimal.

Answers

Answer:

Step-by-step explanation:

semi circle: pi(r^2)/ 2

r=3

AREA: 14.14

I need help with this math problem. ​.

Answers

Answer:the answer is a

Step-by-step explanation:

How i can answer this question?

Answers

Answer:

A and D

Step-by-step explanation:

[tex]20 r + 60t = 20(r+3t) = 4\cdot 5(r +3t)=4(5r +15t)[/tex]

tim and sue share a small pizza. tim eats 2/3 o the pizza

Answers

Answer:

Sue eats 1/3 of the pizza

Step-by-step explanation:

Answer:

Sue eats 1/3 of the pizza

Step-by-step explanation:

3/3 - 2/3 = 1/3

The cost of 5 scarves is $33.75. What is the unit price?

Answers

Answer:

$6.75

Step-by-step explanation:

Divide 33.75 by 5, they are $6.75 each

HELP ASPAP!! ANSWER CORRECLTY

Answers

Answer:

17

Step-by-step explanation:

Answer:

plot 17

Step-by-step explanation:

12-(-5) = 12+5 = 17

Determine if triangles with the following side lengths are possible.

A: 5 8 4
B: 3, 6, ,2
C: 7, 5, 4,

Answers

Answer:

a is possible

b is not possible

c is possible

400+5 please help me

Answers

Answer:405

Explanation 400+5=405

Answer:

the answer is defently 405

Step-by-step explanation:

so you have 400 and 5 and 400+5=405

Valeria works in a law office. Her annual salary is $24,000. Valeria pays income tax at a rate of 15% on her earnings. How much income tax does Valeria pay?

A. $3,600

B. $1,200

C. $360

D. $12,000

Answers

Answer:

A.$3,600

Step-by-step explanation:

24,000*15% = 3600

or

24,000*0.15 = 3600

Answer:

A

Step-by-step explanation:

24000x15/100

Identify all the obtuse angles shown

Answers

Answer:

Option D is correct.

Explanation:

An obtuse angle is an angle that has more than 90°. In the picture, we can clearly see that ∠XYZ has more than 90°. This is an obtuse angle. ∠XWZ is also more than 90°, so that angle is also classified as an obtuse angle. Hence, Option D is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

9 children win $20 each. Then the same 9 children win $10 each. How much combined money did each child win

Answers

Answer:

$270 in all

Just multiply 9x20 and 9x10 and add them together

A sheet of cardboard is 1.6 m by 0.8 m. The following shapes are cut from the cardboard: ● a circular piece with radius 12 cm ● a rectangular piece 20 cm by 15 cm ● 2 triangular pieces with base 30 cm and height 10 cm. What is the area of the remaining piece of cardboard in m²? (Consider π = 22/7)

Answers

Answer:

1.17m²

Step-by-step explanation:

Total area of cardboard=

[tex]1.6 \times 0.8 = 1.28m {}^{2} [/tex]

Area of circular piece=

[tex]\pi \: r {}^{2} = ( \frac{22}{7} )(0.12) {}^{2} = \frac{198}{4375} m {}^{2} [/tex]

Area of rectangular piece=

[tex]0.2 \times 0.15 = 0.03m {}^{2} [/tex]

Area of 2 triangular pieces=

[tex]2( \frac{1}{2} \times 0.3 \times 0.1) = 0.03m {}^{2} [/tex]

Remaining area of the cardboard= Total area of cardboard - circular piece - 2 triangular pieces

[tex]1.28 - \frac{198}{4375} - 0.03 -0.03 = \frac{21083}{17500} =1.17m {}^{2} [/tex]

What is the circumference of a circle whose radius is 20 feet? Leave answer in terms of it. ) A) 107 feet B) 20 feet 407 feet D) 1007 feet​

Answers

im pretty sure it’s 407 i’m not good at explaining sorry

Can you calculate problems involving percent? pls help i WILL make as brainlyst pls i dont wanna fail

Answers

Calculating percent in easy, if you turn in into fractions like 20% is 20/100 or 2/10 if you look at it that way it should help you understand it

Answer:

45 is 150% of 30.

Step-by-step explanation:

To find what percent of 30 is 45 first we must turn it into a fraction and simplify.

fraction form: 45/30

simplified fraction form: 3/2

now to find percent you have to put a number over one hundred.

3/2 = ?/100

Right now our denominator is 2. By what number can we multiply 2 to get to 100? The answer is 50.

Now that we have multiplied the denominator by 50, we also have to multiply the numerator (3) by fifty. 3 x 50 = 150

so now we put the new numerator and denominator together and get 150/100

The answer is 150%

what is 17/20 - 4/15

Answers

Hello there, today you gave us the problem [tex]\frac{17}{20}-\frac{4}{15}[/tex],

Our first step is to give them common denominators, which is [tex]\frac{51}{60}-\frac{16}{60}[/tex], solve it and we get [tex]\frac{35}{60}[/tex] as our answer, which can be simplified down to [tex]\frac{7}{12}[/tex]

Plz help fast I will mark Brainlyist

Answers

Answer:

-4 -2 1 the top are 2/6 -2/8

Step-by-step explanation:

I don't know if that's right but yea hope that helps

The diagram shows a triangle.

What is the value of b?
37
143
90
30

Answers

The value of b is 37 degrees

Answer:

37

Step-by-step explanation:

All angles of a triangle have to add up to 180 degrees

180 - 113 - 30 = 37

37+113+30 = 180

HELP PLZZ! 50 POINTS!!

Answers

4%. 1/5 * 1/5 is 1/25 which equals 4%

Answer:

24%

Step-by-step explanation:

consider bag 1: there are 3 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 3/5

bag 2: there are 2 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 2/5

to find the probability of getting two vowel tiles (one from each bag), you multiply these two probabilities together:

3/5 *2/5 to get 6/25 which is equal to 0.24 or 24%

how many solutions does the quadratic function f(x)=-x²

Answers

Answer: 4

Step-by-step explanation:

 Slope = -2.000/2.000 = -1.000

 x-intercept = 0/1 = 0.00000

 f-intercept = 0/1 = 0.00000

x = 0

2) A right isosceles triangle has legs that are each 10 mm. What is the length of its hypotenuse?
round to the nearest whole number

Answers

A right isosceles triangle has legs that are each 10 mm.Here, base (b) = 10 mmHeight (h) = 10 mmLet the length of the hypotenuse be x.Therefore, in the right triangle

[tex](b) ^{2} + {(h)}^{2} = {(x)}^{2} \: \: \: ( by \: \: \: pythagoras \: \: \: theorem)\\ = > {(10)}^{2} + {(10)}^{2} = {(x)}^{2} \\ = > 100 + 100 = {x}^{2} \\ = > 200 = {x}^{2} \\ = > x = \sqrt{200} mm \\ = > x = \sqrt{2 \times 2 \times 2 \times 5 \times 5}mm \\ = > x = 2 \times 5 \sqrt{2} mm \\ = > x = 10 \sqrt{2} mm[/tex]

So, the length of the hypotenuse is 10√2 mm.

Answer:

10√2 mm.

Hope you could get an idea from here.

Doubt clarification - use comment section.

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