PLEASE HELP ME


If f(x) = -3 and g(x) = 4x2 + x = 4, find (f+ g)(x).
ОА
A. 4x2 + x - 1
O B. 6x2 - 7
O 4x
C. 43+ + 2x-1
O D. 4x+3x-7

PLEASE HELP MEIf F(x) = -3 And G(x) = 4x2 + X = 4, Find (f+ G)(x).A. 4x2 + X - 1O B. 6x2 - 7O 4xC. 43+

Answers

Answer 1

Answer:

D. 4x² + 3x/2 - 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x/2 - 3

g(x) = 4x² + x - 4

(f + g)(x) is f(x) + g(x)

Step 2: Find

Substitute in functions:                                                                                     (f + g)(x) = x/2 - 3 + 4x² + x - 4Combine like terms:                                                                                         (f + g)(x) = 4x² + 3x/2 - 7
Answer 2

Answer:

The answer is C.

Step-by-step explanation:

(f+g)(x)= f(x)+g(x).

So that would be x/2-3 + 4x^2+x-4.

If you combine like terms that would be:

4x^2+x/2+x-4-3=

4x^2+3/2x-7


Related Questions

A rectangular floor is 9 yards long and 3 yards wide. What is the area

Answers

Answer:

27 yards

Step-by-step explanation:

Area = Length • Width

Area = 9 • 3

Area = 27yrds

boat costs $54,000. you pay 10% down and amortize the rest with equal monthly payments over a 15 year period. If you must pay 4.5 % comounded monthly, what is your monthly payment?

Answers

3385.8

Step-by-step explanation:

Please help me to find out the answer

Answers

Answer:

8.204786801 in

Step-by-step explanation:

cos (79°) = BE/BG= adjacent/hypotenuse

cos ( 79°) = BE/43 in

BE = cos (79°) × 43 in= 8.204786801 in

3. The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times the perimeter. Find the length and width of the rectangle.

Answers

Answer:
Length: sqrt13 + 4
Width: sqrt13
Step-by-step explanation:
Denote the width as x, then the length is x+4. The area of the rectangle will be x(x+4), and the perimeter will then be 4x +8. Hence, you can write the equation x(x+4) - 5 = 4x+8. Solving, you get x = sqrt13.

What is the common ratio between successive terms in the sequence?
1.5, 1.2, 0.96, 0.768,...
0 0.8
-0.3
0 0.3
O 0.8

Answers

Answer:

[tex]1.5,1.2,0.96,0.768[/tex]

Common ratio between successive terms

[tex]=\frac{1.2}{1.5}[/tex]

[tex]=0.8[/tex]

OAmalOHopeO

The value of the common ratio between successive terms in the sequence is,

⇒ 0.8

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The sequence is,

⇒ 1.5, 1.2, 0.96, 0.768,...

Hence, The value of the common ratio between successive terms in the sequence is,

⇒ 1.2 / 1.5

⇒ 12/15

⇒ 0.8

Thus, The value of the common ratio between successive terms in the sequence is,

⇒ 0.8

Learn more about the geometric sequence visit:

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#SPJ7

a) Show that the equation 2 x + 3 cos x + e^x = 0 has a root on the
interval (-1,0)
b) Use the Bisection method to find the solution of 2 x + 3 cos x +
e^x = 0. accurate with in 10-3. On (-1,0). (Use four digits-Rounding)

Answers

a) The equation has a root in the interval (-1,0)

b) The solution of [tex]2x+3cos(x)+e^{x}=0[/tex] by using the Bisection Method is x=0.9977 accurate within [tex]10^{-3}[/tex]

a) The intermediate zero theorem (Bolzano's Theorem) tells us that whenever you have a continuous function in a given interval and the extremes of the functions on this interval have oposite signs, then there must be a zero in between those extreme values.

A formal definition of this theorem is written like this:

"If a function f on the closed interval [a,b] is a continuous function and it holds that f(a)>0 and f(b)<0 or f(a)<0 and f(b)>0, then there is at least one x-value such that f(x)=0"

So basically we need to evaluate the given equation for both extremes of the interval x=-1 and x=0, if they return results opposite in sign, then there must be a zero in that interval, so let's evaluate the function for x=-1:

[tex]2x+3cos(x)+e^{x}[/tex]

[tex]2(-1)+3cos(-1)+e^{-1}=-0.0112[/tex]

Let's now test for x=0

[tex]2x+3cos(x)+e^{x}[/tex]

[tex]2(0)+3cos(0)+e^{0}=4[/tex]

So notice we ended up with two values -0.0112 and 4. One is positive and the other is negative, therefore there must be a zero in that interval.

b) The zero is located at x=-0.9977

The idea of the bisection method is to find values for x in the middle of two x-values that return opposite sign answers when evaluated on the given function. So we can start with the extremes of the given interval:

x=-1 and x=0

so we find the value in the middle by using the following formula:

[tex]mid-value=\frac{x_{1}+x_{2}}{2}[/tex]

so we get:

[tex]mid-value=\frac{-1+0}{2}[/tex]

mid-value=-0.5

Next, we evaluate the given function for that value:

[tex]2(-0.5)+3cos(-0.5)+e^{-0.5}=2.2393[/tex]

Since we got a positive answer, we now find the midpoint between -0.5 and -1 (which was the last x-value that returned a negative answer) so we get:

[tex]mid-value=\frac{-1-0.5}{2}[/tex]

mid-value=-0.75

Next, we evaluate the given function for that value:

[tex]2(-0.75)+3cos(-0.75)+e^{-0.75}=1.1674[/tex]

and we repeat the process until que get to the desired accuracy. I uploaded a table that has the corresponding iterations and its answers. There were 14 iterations done until we got to the final answer x=-0.9977.

Learn more about the intermediate zero theorem here:

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Given that the triangle ABC is at A= (2,4) B= (5,9) C =(1,7) and if the triangle is reflected across the line y=1, what is the new position of point B?

Answers

We need not consider a whole triangle but just point B.

Before reflection we know that [tex]B(5,9)[/tex].

Reflecting B over [tex]y=1[/tex] is relatively easy. First because its a reflection over the horizontal line the only coordinates that will change are y coordinates, while x coordinate will not change so half of the reflection is already done for us,

[tex]B(5,a)[/tex]

Now to what has changed, well currently the distance between 9 and 1 on the y axis is 8 up. But because we are reflecting the a must now be 8 down from 1 which means [tex]1 - 8 = -7[/tex] so our point is now [tex]\boxed{B(5,-7)}[/tex].

Hope this helps :)

9514 1404 393

Answer:

  (5, -7)

Step-by-step explanation:

Reflection across the line y = c is accomplished by the transformation ...

  (x, y) ⇒ (x, 2c -y)

For c=1 and point B, we have ...

  B(5, 9) ⇒ B'(5, 2·1 -9) = B'(5, -7)

The image of point B is (5, -7).

find the perimeter of the polygon​

Answers

Answer:

50

Step-by-step explanation:

19-7=12

6+6+7+19+12

The probability distribution of a random variable X is given. x 1 2 3 4 P(X = x) 0.4 0.1 0.3 0.2 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) mean variance standard deviation

Answers

Mean:

[tex]E(X) = \displaystyle \sum_{x\in\{1,2,3,4\}}x\,P(X=x) = 1\times0.4 + 2\times0.1 + 3\times0.3 + 4\times0.2 = \boxed{2.3}[/tex]

Variance:

[tex]\displaystyle V(X) = E\left((X-E(X))^2\right) = E(X^2) - E(X)^2 \\\\ E(X^2) = \sum_{x\in\{1,2,3,4\}}x^2\,P(X=x) = 1^2\times0.4 + 2^2\times0.1 + 3^2\times0.3 + 4^2\times0.2 = 6.7 \\\\ \implies V(X) = 6.7 - 2.3^2 = \boxed{1.41}[/tex]

Standard deviation:

[tex]\sigma_X = \sqrt{V(X)} = \sqrt{1.41} \approx \boxed{1.19}[/tex]

3. Solve the system of equations using the elimination method.
5x + 2y = 9
-5x + 4y = 3

please give detailed steps!!

Answers

Answer:

x = 1

y = 2

Step-by-step explanation:

5x + 2y = 9

-5x + 4y = 3

==> 6y = 12 ==> y = 12/6 ==> y = 2.

we replace y by its value in the first or the second equation, so will have:

5x + 2×2 = 9

5x + 4 = 9

5x = 5

x = 1

y
Which point on the x-axis lies on the line that passes
through point C and is parallel to line AB?
5 4
C
NU
1
O (1,0)
O (1, 1)
0 (0, 2)
O (20)
А
54
214
2 3
4 5
х
h
B
3
4
ch

Answers

I think it's (2,0).

Because u use the slope of line AB to go down from point C until one of the answers are met.

The point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).

Slope of Parallel LinesTwo lines on a coordinate plane are parallel to each other if they have the same slope.Slope = change in y/change in x.

Slope of AB = -(3/6)

Slope of AB = -1/2

Slope of from point (2, 0) to point C(-2, 2):

Slope = (2 - 0)/(-2 - 2) = 2/-4

Slope = -1/2

Therefore, the point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).

Learn more about slope of parallel lines on:

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Determine the pattern for the following sequence and find the next two terms: 1, -2,4,-8, ...

Answers

Answer:

Answer:×(-2)

Answer:×(-2)Step-by-step explanation:

-2/1 = -2

4/-2 = -2

-8/2 = -2

Next two: 16, -32

-16, 32

Just multiply each number by -2


According to the Venn Diagram below and given that P(A) = 3 as well as
P(B) = 35 what is P(AUB)?

A. 65
B. 75
C. 55
D. 45

Answers

the answer is .75 (plz make this the brainliest)

1. Ewa has 20 balls of four colors: yellow, green, blue, and black. 17 of them are not green, 5 are black, and 12 are not yellow. How many blue balls does Ewa have? (Use Gaussian elimination method).

Answers

Answer:

In a bag of balls, 1/4th are green, 1/8th are blue, 1/12th are yellow and the remaining 26 are white. How many balls are blue?

There are 4 colours of balls - green, blue, yellow and white.

Add (1/4)+(1/8)+(1/12) = (6/24)+(3/24)+(2/24) = 11/24 so the balance or (24–11)/24 = 13/24 = 26 white. Hence the total number of balls are 2*24 = 48.

Of the 48 balls, green are (1/4)*48 = 12, blue are (1/8)*48 = 6, yellow are (1/12)*48 = 4 and the rest, white are 26.

Check: Total number of balls = 12+6+4+26 = 48

Answer: 6 balls are blue....

A teacher finishes explaining a new concept to the class and wants to check that all the students have grasped the concept. The teacher asks those who do not understand to raise their hands. This process leads to which of the following bias(es)?

a) Response bias
b) Measurement bias
c) Both response bias and measurement bias
d) neither response bias nor measurement bias

Answers

Answer:

response bias

Step-by-step explanation:

because whan you are asked a question you expect response in return

The problem solving plan identifies steps to organize your information. Which of the following answer choices are included in the steps to organize your information?
A. Organize the problem and find the question.
B. Solve the problem and change your strategy if necessary.
C. Write the facts, organize your thoughts and define your strategy.
D. Organize the steps and underline the question.

Answers

c.write the fact,organize your thoughts and define your strategy.

Answer:

c

Step-by-step explanation:

If a= 3 and b= 5; find
(a+b)

Answers

Answer: 3/8

Step-by-step explanation:

A=3

B=5

3/3+5=3/8

Find the length of FT

Answers

Step-by-step explanation:

Hey there!

From the given figure;

Angle FVT = 43°

VT = 53

Taking Angle FVT as reference angle we get;

Perpendicular (p) = FT = ?

Base (b) = VT = 53

Taking the of tan;

[tex] \tan( \alpha ) = \frac{p}{b} [/tex]

Keep all values and simplify it;

[tex] \tan(43) = \frac{ft}{53} [/tex]

0.932515*53 = FT

Therefore, FT= 49.423.

Hope it helps!

Answer:

A. 49.42

Step-by-step explanation:

tan 43 = FT ÷ VT

0.932515086 = FT ÷ 53

49.42 = FT

please help! thanks!
find y.

Answers

Answer:

y = 4

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : √3 : 2

The sides in this triangle are in the order:

y : 4√3 : x

y/1 = 4√3/√3

y = 4

Pete receives a weekly allowance for doing chores around the
house. Pete saves his money for 17 weeks. After 17 weeks, he
saves $187. How much money does Pete get for his allowance
each week

Answers

9514 1404 393

Answer:

  A.  $11 per week

Step-by-step explanation:

  $187 = (17)(weekly allowance) . . . . . Pete's savings after 17 weeks

  weekly allowance = $187/17 = $11 . . . . . divide by 17

Pete gets $11 each week.

Answer:11 per week

Step-by-step explanation:I did the test

i need some help with this question. it says find x

Answers

Answer:

x = 9.8

Step-by-step explanation:

Please see attached photo for diagram.

We'll begin by calculating the value of y. This can be obtained as follow:

Angle θ = 45

Opposite = 6

Hypothenus = y

Sine θ = Opposite /Hypothenus

Sine 45 = 6/y

0.7071 = 6/y

Cross multiply

y × 0.7071 = 6

Divide both side by 0.7071

y = 6 / 0.7071

y = 8.5

Finally, we shall determine the value of x. This can be obtained as follow:

Angle θ = 60

Opposite = 8.5

Hypothenus = x

Sine θ = Opposite /Hypothenus

Sine 60 = 8.5 / x

Cross multiply

x Sine 60 = 8.5

Divide both side by sine 60

x = 8.5 / sine 60

x = 8.5 / 0.8660

x = 9.8

A. The interquartile range is 55

B.Three fourths of the data is less than 65

C. The median of the upper half of the data is 65

D. The median if the data is 55.

Answers

Answer:

d the median if the data is 55

HELP!!!!!!!!!
What is | 12 − 2i |?

Answers

Please mark brainliest

Answer is 2√37

Answer:

Answer is 2√37

Step-by-step explanation:

since a+bi = sqrt(144+4) = sqrt(148) = 2sqrt37

Please help explanation need it

Answers

Step-by-step explanation:

jejejebe. s shs sjs sibskkw

Select the correct answer.plz answer fast due at 11:59
What is the solution for x in the equation?

-4 + 5x − 7 = 10 + 3x − 2x

A. x=4/13

B. x=13/4

C. x=4/21

D. x=21/4

Answers

Question: -4 + 5x -7 = 10 + 3x -2x

⇒ 5x -11 = 10 + x

⇒ 5x - x = 10+11

⇒ 4x = 21

⇒ x = 21/4

Answer is Option D

x = 21/4

Must click thanks and mark brainliest

Find the area of the circle round your answer to the nearest 10th

Answers

Answer:

The area is 19.63.

Step-by-step explanation:

Step-by-step explanation:

Area of a circle is

[tex]area = \pi \: r ^{2} [/tex]

area=3.14(2.5)²

19.63in²

Diện tích xung quanh của hình chóp tứ giác đều có cạnh bằng 6cm và độ dài trung đoạn bằng 10cm là:
A. 120 cm2 B. 240 cm2 C. 180 cm2 D. 60 cm2

Answers

Answer:

A

Step-by-step explanation:

(6.2).10=120cm²

Đáp án đó chúc bạn học tốt

–21:(–2 – 5) + ( –14) + 6.(8 – 4.3)​

Answers

Did you mean -21(-2-5)+(-14)+6(8-4.3) ?
If that, the answer is 155.2:)) im sorry if im wrong:((

C = qt - k
(Make k the subject using transportation)

V = u + at

(Make u the subject using transportation)

Answers

Answer:

C - qt = -k

k = - C + qt

V = u + at

V - at = u

u = V - at

Answer:

c=qt-k

c-qt= -k

c-qt/-1=-k/-1

k=c-qt/-1....

v=u+at

v-at=u

u=v-at

I hope this helps

7. Find the missing side. Round to the nearest tenth​

Answers

Hi there!

[tex]\large\boxed{x \approx 19.6}[/tex]

We can use right triangle trigonometry to solve.

We are given the angle's adjacent side and are trying to solve for the hypotenuse, so:

Use cosine: cos Ф = A / H

Thus:

cos 30° = 17 / H

Simplify:

0.866 = 17 / H

Isolate for H:

H · 0.866 = 17

H = 17 / 0.866

H = 19.63 ≈ 19.6

Answer:

x = 19.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 30 = 17/x

x cos 30 = 17

x = 17/cos 30

x=19.62990

To the nearest tenth

x = 19.6

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