if f(x) = 2x² +1 and g(x) = x² - 7 find (f+g) (x)

Help me find (f+g)(x) please!

Answers

Answer 1

Answer:

[tex](f+g)(x) = 3x^2 - 6[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2 + 1, \ g(x) = x^2 - 7\\\\(f +g)(x) = f(x) + g(x) \\\\(f+g)(x) = 2x^2 + 1 + x^2 - 7 \\\\(f+ g)(x) = 3x^2 - 6[/tex]


Related Questions

I am not sure. Is this right?

Answers

Answer:

14.4

Step-by-step explanation:

since the longest side is 24,find the shortest side

√20^2-12^2

√400-144

√256

=16

which means the other shortest side is 24-16

which is 8

then you have to use the 12 and 8 to find the unknown side

√12^2+8^2

144+64

√208

14.4

I hope this helps

If the order of two matrices are different, then the addition of matrices does not exists true or false

Answers

Answer:

true

Step-by-step explanation:

A matrix can only be added/subtracted with another matrix if the two matrices have the same dimensions

multiply
12/18×10/18
lesson name fraction.
find me out this question for answer​

Answers

Here you go
Hope it’s helps

Find the nth term of the arithmetic
sequence - 1,2,5, ....

A. 3n - 2
B. -2n + 1
C. 2n + 2
D. 3n - 4

Answers

Answer:

3n -4

Step-by-step explanation:

We are adding 3 each time

-1+3 =2

2+3 = 5

The formula for an arithmetic sequence is

an = a1+d(n-1) where a1 is the first term and d is the common difference

an = -1+3(n-1)

    = -1 +3n -3

    = 3n -4

Help anyone can help me do the question,I will mark brainlest.​

Answers

Step-by-step explanation:

Ans 6 Use Pythagoras theorem...

Hypotneuse²=Base²+Height²

6²=4²+H²

36-16=H²

20=H²

√20=H

√2×2×5=H

2√5 = H....

hope it helps

Problem 4

Draw a diagonal to connect the opposite non-right angles as shown below. This forms two right triangles. As you can probably guess, we'll use the pythagorean theorem to find the length of this segment. We'll call it x.

a^2+b^2 = c^2

7^2+24^2 = x^2

49+576 = x^2

x^2 = 625

x = sqrt(625)

x = 25

The hypotenuse of each right triangle is 25 units long.

Move your focus to the upper right triangle. We can use the pythagorean theorem again in a slightly different way to find y.

a^2+b^2 = c^2

15^2+y^2 = 25^2

225+y^2 = 625

y^2 = 625-225

y^2 = 400

y = sqrt(400)

y = 20

Answer:  y = 20

====================================================

Problem 6

The largest triangle, ignore segment x for now, is isosceles because we have two congruent sides.

As with any isosceles triangle, the vertex angle is bisected by the perpendicular bisector as shown in the diagram. This produces two identical right triangles. Most importantly, it means that horizontal side 4 is cut in half to 4/2 = 2 units.

In short, each smaller right triangle has a horizontal leg of 2, vertical leg x, and hypotenuse 6. Let's focus on just one of those right triangles.

Like the previous problem, we'll use the pythagorean theorem to find x.

a^2+b^2 = c^2

x^2+2^2 = 6^2

x^2+4 = 36

x^2 = 36-4

x^2 = 32

x = sqrt(32)

x = sqrt(16*2)

x = sqrt(16)*sqrt(2)

x = 4*sqrt(2)

Answer:  x = 4*sqrt(2)

Enter the missing values in the area model for multiplication below.
5 x 35
30
+
5
25
try

Answers

The box on the left would be 150
The box on the right would be 5

A cylindrical paint can has a diameter of 12 centimeters and height of centimetrs which is closest to the volume of the paint can in cubic centimeters

Answers

Answer:

The correct answer is "1808.64 cm³".

Step-by-step explanation:

Seems that the given query is incomplete. Below find the attachment of the complete problem.

Given:

Diameter,

d = 12 cm

Radius,

r = [tex]\frac{d}{2}[/tex]

 = [tex]\frac{12}{2}[/tex]

 = [tex]6 \ cm[/tex]

Height,

h = 16 cm

As we know,

The volume of cylinder is:

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

By substituting the values, we get

= [tex]3.16\times (6)^2\times 16[/tex]

= [tex]3.14\times 36\times 16[/tex]

= [tex]1808.64 \ cm^3[/tex]

Pls help if u only know the correct answer!! Thanks!! :))

Answers

Answer:

3.5, 4.2

Step-by-step explanation:

reflect make it not negative and its on y axis so y not affected

If the odds against Deborahs winning first prize in a chess tournament are 1 to 11 what is the probability of the event that she will win first prize

Answers

Answer: [tex]\dfrac{11}{12}[/tex]

Step-by-step explanation:

Given

The odds against winning in a chess tournament are 1 to 11.

Odds is defined as the ratio of the probability of occurrence to the non-occurrence of event.

[tex]\therefore \text{Probability that event will occur is P'=}\dfrac{1}{1+11}\\\\\Rightarrow P'=\dfrac{1}{12}[/tex]

Probability of non-occurrence i.e. she wins the first prize is

[tex]\Rightarrow P=1-\dfrac{1}{12}\\\\\Rightarrow P=\dfrac{11}{12}[/tex]

Question 11 of 25
If the point (1, 4) is on the graph of an equation, which statement
must be true?
A. There are solutions to the equation for the values x = 1 and
x = 4.
B. The values x = 1 and y = 4 are the only values that make the
equation true.
C. The values x = 4 and y= 1 make the equation true.
D. The values x = 1 and y = 4 make the equation true.
SUBMIT

Answers

Answer:

D

Step-by-step explanation:

simple : when we have a point defined as (1, 4), it means x = 1, y = 4.

and since the point is on the graph of a function/equation it means that when we use x = 1 and calculate the equation, we get 4 as result (= y). so yes, that means that both sides of the "=" sign are indeed equal for this pair of values, which makes the equation true.

but there will be usually many other pairs that do that too.

True or False: The function y = (x2 – 4)/(x2 – 4) is continuous for all values of x

Answers

Answer:

False

Step-by-step explanation:

The function isn't continuous at x=±2 as a function isn't continuous at the point where the function becomes undefined, this function becomes undefined when the denominator is equal to 0. So x^2-4=0 => x=±2.

find the missing length indicated​

Answers

Answer:

192

Step-by-step explanation:

Apply the geometric mean formula to solve for x, which is the altitude of the right triangle.

The formula is:

h = √(mn)

h = x = ?

m = 144

n = 400 - 144 = 256

Substitute

h = √(256*144)

h = √36,864

h = 192

Therefore, x = 192


Solve for x in the drawing above.

Answers

Answer:

x is 28°

Step-by-step explanation:

Alternate angles of parallel lines:

[tex]{ \sf{x = \frac{1}{2} \times 56 \degree }} \\ { \sf{x = 28 \degree}}[/tex]

Answer:

Hello,

28°

Step-by-step explanation:

Calculate the complementary angle of x =y

In the triangle on the right :

y+y+56°=180°

y=62°

So x=90°-62°=28°

If the equation of the line is
(5y + 1)/10 = x, then what is the slope of the line?

A. 10
B. 5
C. 2
D. -1

Answers

Answer:

2

Step-by-step explanation:

(5y + 1)/10 = x

Multiply each side by 10

(5y + 1)/10*10 =10 x

(5y + 1) = 10x

Subtract 1

5y +1-1 = 10x-1

5y = 10x-1

Divide by 5

5y/5 = 10x/5 - 1/5

y = 2x-1/5

This is in slope intercept form y = mx+b where m is the slope and b is the y intercept

The slope is 2

Which is the equation of a parabola with Vertex (0,0) and focus (0, 2)?
a. ya = 8x
c. x2 = 8
b. y2 = 4x
d. x2 = 4y

Answers

Answer:

So the equation of the parabola is x2=8y i don't really know

Solve for x: 2(3x + 4) - 3(x - 1) = x - 1  ​

Answers

Answer:

x=-113

Step-by-step explanation:

2(3x+4)−3(x−1)=x−1x

Step 1: Simplify both sides of the equation.

2(3x+4)−3(x−1)=x−1x

(2)(3x)+(2)(4)+(−3)(x)+(−3)(−1)=x+−1x(Distribute)

6x+8+−3x+3=x+−x

(6x+−3x)+(8+3)=(x+−x)(Combine Like Terms)

3x+11=0

3x+11=0

Step 2: Subtract 11 from both sides.

3x+11−11=0−11

3x=−11

Step 3: Divide both sides by 3.

3x3=−113

x=−113

Answer:

x=−113

The answer is X= -113

A. Explain why the point (100,2) is on the graph.
B. What is the x-intercept of the graph? Explain how you know.
49
C. When will the graph meet the line y = 5? Explain how you know.

Answers

Answer:

the log function is the "inverse" function of an exponential function

by definition  [tex]log_{a} b = c[/tex]  then [tex]a^{c} = b[/tex]

in this problem you have [tex]log_{10} 100[/tex]

thus what x solves this ?  [tex]10^{x} = 100[/tex]  the answer is [tex]10^{2}[/tex]

thus (100,2)

B) the x intercept is when y = 0

   [tex]10^{0} = 1[/tex]

   x intercept at (1,0)

C) at 100, the curve will hit y = 5000

Step-by-step explanation:

state the following true or false ​

Answers

Answer:

c. false (it should always be neg.)

d. false

Step-by-step explanation:

Answer:

(c) True, (d) False

Step-by-step explanation:

5. There are 5,280 feet in a mile. What part of a mile, in decimal form, will you drive until you reach the exit? I NEED THIS QUICK PLZ HELP I’LL GIVE YOU 30

Answers

Brainlist me!! :) hope this helps you

Answer:

5.280

Step-by-step explanation:

i did this question and got it

8TH GRADE MATH ¯\_(ツ)_/¯

What is the fractional equivalent of the repeating decimal n = 0.1515.... ?

Answer the questions to find out.

1. How many repeating digits does the number represented by n have?

2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number.

3. Write an equation where the left side is your power of 10 time n and the right side is the result of multiplying 0.1515... by that power.

4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work!

5. Write n as a fraction in simplest form. Show your work!​

Answers

If n = 0.151515…, then 100n = 15.151515…

Then

100n - n = 15.151515… - 0.151515…

99n = 15

n = 15/99 = 5/33

Write an algebraic expression for “three less than the sum of a number and a four”

Answers

Answer: 3 < x+4

Explanation:

Answer:

(x + 4) - 3

Step-by-step explanation:

Let the number be x

(x +4) - 3

four less than the product of a number and 7 is eight more than that number

Answers

Answer:

2

Step-by-step explanation:

Replace the number with x, then the equation would be:

7x-4=x+8

7x-x=8+4

6x=12

6x/6=12/6

x=2

ABCD is a quadrilateral, P Q R and S divide AB, CB, CD and AD in ratio 1:3 respectively. Prove that a//m. (Please hurry up, I will mark you as Brainliest) ​

Answers

Two lines are parallel if they are equidistant from one another. The following proves [tex]a || m[/tex]

[tex]Ratio = 1:3[/tex] means that:

[tex]BP=3PA[/tex]

[tex]BQ=3QC[/tex]

To prove that [tex]a || m[/tex] is to prove that side length SR and side length PQ are parallel because:

[tex]SR = a\\ PQ = m[/tex] --------- See attachment for quadrilateral

Considering [tex]\triangle ABC[/tex], we have: [tex]BP=3PA[/tex]

Divide both sides by PA

[tex]\frac{BP}{PA} = \frac{3PA}{PA}[/tex]

[tex]\frac{BP}{PA} = 3[/tex]

Similarly: [tex]BQ=3QC[/tex]

Divide both sides by QC

[tex]\frac{BQ}{QC} = \frac{3BQ}{QC}[/tex]

[tex]\frac{BQ}{QC} = 3[/tex]

So, we have:

[tex]\frac{BP}{PA} = \frac{BQ}{QC} = 3[/tex]

Express as ratios

[tex]BP:PA = BQ:QC = 3[/tex]

[tex]BP:PA \to[/tex] means point P divided side length BA into 3:1

[tex]BQ:QC \to[/tex] means point Q divided side length BC into 3:1

Thales Theorem states that: A line that divides any two sides of a triangle in the same ratio is parallel to the third side.

The third side of [tex]\triangle ABC[/tex] is [tex]AC[/tex].

This means that: [tex]PQ[/tex] is parallel to [tex]AC[/tex]

Since [tex]AC[/tex] is parallel to [tex]SR[/tex], then [tex]PQ[/tex] is parallel to [tex]SR[/tex]

i.e. [tex]SR || PQ[/tex]

Recall that:

[tex]SR = a\\ PQ = m[/tex]

Hence:

[tex]a || m[/tex] has been proved.

Read more about proof of parallel sides at:

https://brainly.com/question/2510808

PLEASE HELP ASAP!!
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.


A. 146.85 units²

B. 45+9√3 units²

C. 36+9√3 units²

D. 36+3√3 units²

Answers

The total surface area of the pyramid is 52 square units

The formula for calculating the area of the triangular based pyramid is expressed as;

[tex]TSA=Base \ Area+\frac{1}{2}ps[/tex] where;

p is the perimeter of the base

s is the slant height

Get the Base area

[tex]Base \ Area = \frac{1}{2}bh\\Base \ Area = \frac{1}{2}*6*\sqrt{5^2-3^2} \\ Base \ Area = \frac{1}{2}*6*\sqrt{25-9} \\ Base \ Area = \frac{1}{2}*6*\sqrt{16} \\ Base \ Area = \frac{1}{2}*6*4 \\ Base \ Area = \frac{24}{2} \\Base \ Area = 12 units^2[/tex]

Get the perimeter

Perimeter = 5 + 5 + 6

Perimeter = 16 units

Slant height = 5units

Substitute the given values into the formula above as shown;

[tex]TSA=12+\frac{1}{2}*16*5\\TSA=12+(8*5)\\\\TSA = 12 + 40\\TSA = 52 units ^2[/tex]

Hence the total surface area of the pyramid is 52 square units

Learn more here: https://brainly.com/question/23353623

Answer:

52squnits

Step-by-step explanation:

the best way to learn math formulas

Answers

Writing down the formulas on charts and pasting it in your room,by seeing this daily it helps to memorize the formulas.

Saying the formulas louder also helps to memorize the formula.

Watching videos related to maths formulas and equations helps to remember the formulas easier.

Doing many problems regularly will helps you to remember the formulas.

lastly study to Understand The Formula not to memorize

Find the number in which 9 has greater value.
0.5689
5.6890
56.89
569.80

Answers

Answer:

569.80

Step-by-step explanation:

Among all the choices, the digit 9 has the greatest value in number 569.80. For the reason that 9 got ones value - which are greatest than other.

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Solve for X. Geometry

Answers

Answer:

x=12

Step-by-step explanation:

QS=QR+RS

2x-11=7+x-6

x=12

Solve for x.
5x + 3 – 2x = 24
X = [?]

Answers

[tex]\\ \sf \longmapsto 5x+3-2x=24[/tex]

[tex]\\ \sf \longmapsto 5x-2x+3=24[/tex]

[tex]\\ \sf \longmapsto 3x+3=24[/tex]

[tex]\\ \sf \longmapsto 3x=24-3[/tex]

[tex]\\ \sf \longmapsto 3x=21[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{21}{3}[/tex]

[tex]\\ \sf \longmapsto x=7[/tex]

Answer:

x = [7]

Step-by-step explanation:

5x + 3 - 2x = 24

Combine like terms

5x - 2x + 3 = 24

Subtract 5x - 2x

3x + 3 = 24

Subtract 3 from both sides

3x = 21

Isolate the variable

x = 21/3

x = 7

191+13=13+191191+13=13+191
what type of property is that

Answers

what nice question that we can understand ok

I’m not going to lie I don’t know what’s going on with this question

4 is a square number and also an even number. How many other whole numbers less than 50 are an even, square number?

Answers

heres a picture bc im too lazy to write it

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