If f(x) = -4x + 3 and g(x) = 3x^2 + 2x - 4 find (f+g) (x)

Answers

Answer 1

Answer:

3x^2-2x-1

Step-by-step explanation:

Here, we want to find (f + g)(x)

Mathematically, that will be f(x) + g(x)

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

= -2x-1 + 3x^2

= 3x^2-2x-1


Related Questions

whats the value of [tex]5^3[/tex]

Answers

Answer:

[tex]5^{3}[/tex]

=5*5*5

=125

The value of 5 to the power of 3 is 125

Explanation: 5 • 5 • 5 = 125

Help me please help me

Answers

Answer:

[tex]y=4x-3[/tex]

Step-by-step explanation:

All of these equations are in the [tex]y=mx+b[/tex] form.

[tex]m[/tex] stands for the slope (or gradient) of the line (how steeply it goes up or down) and [tex]b[/tex] stands for the y value where the line crosses the y-axis (also known as y-intercept).

With this in mind, it's evident that the slope of [tex]y=4x-3[/tex] is 4 and that it crosses the y-axis when y is equal to -3.

Good luck!

18/3=?/1 what's the missing unit rate​

Answers

Answer: 6

Step-by-step explanation:

Answer:

it's equal to 6/1!!

Step-by-step explanation:

Over the past month, a hairstylist has had 56 female clients and 24 male clients. What is the ratio of male clients to female clients for this hairstylist?

Answers

Answer:

24:56

Simplified: 8:7

Step-by-step explanation:

PLEASE I NEED HELP

Enter in the missing numbers to create equivalent ratios.

Answers

Answer:

The table with the missing number

1       5

2     10

5      25

10    50

Step-by-step explanation:

The form of the equivalent ratios is [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] , where a, b, c, and d are integers

From the given table, we will use the first row in all cases (a = 1 and c = 5)

a = 1 and b = 2

c = 5

→ By using the form of the equivalent ratios above

∴ [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{d}[/tex]

→ By using the cross multiplication

1 × d = 2 × 5

∴ d = 10

The first missing is 10

a = 1

c = 5 and d = 25

→ By using the form of the equivalent ratios above

∴ [tex]\frac{1}{b}[/tex] = [tex]\frac{5}{25}[/tex]

→ By using the cross multiplication

5 × b = 1 × 25

∴ 5b = 25

→ Divide both sides by 5

∴ b = 5

The second missing is 5

a = 1 and b = 10

c = 5

→ By using the form of the equivalent ratios above

∴ [tex]\frac{1}{10}[/tex] = [tex]\frac{5}{d}[/tex]

→ By using the cross multiplication

1 × d = 10 × 5

∴ d = 50

The third missing is 50

The equivalent ratios are [tex]\frac{1}{5}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{5}{25}[/tex] = [tex]\frac{10}{50}[/tex]

The table with the missing numbers

1       5

2     10

5      25

10    50

Please help me i cant figure this out. Ten points to anyone who can.

Answers

Answer:

G - 4 units

Step-by-step explanation:

i. After how many weeks will Jennifer and William have the same amount of money in their bank accounts?



ii. How much will be in their accounts?

Answers

Answer:

5 weeks$100

Step-by-step explanation:

Part i

Jennifer's account:

f(x) = 10x + 50

William's account can be expressed as:

g(x) = 14x + 30

Because the rate of change is 14 and y-intercept is 30

They will be same after x years, f(x) = g(x)

10x + 50 = 14x + 3014x - 10x = 50 - 304x = 20x = 5

The accounts will be same after 5 weeks

Part ii

The amount in the accounts after 5 weeks:

f(5) = g(5) = 10*5 + 50 = $100

Answer:

5 weeks

Step-by-step explanation:

Find the equation of willam's account:

1. find rate x1-x2

44-30      plug in

14 =rate  30=y-intercept     starting valuse is always intercept

44+14=58       check

f(x)= 10x+50

f(x)= 14x+30     solve

10x+50=14x+30   set values together

20=4x        subtract 10x and 30 from both sides

x=5

What is the sign of the product (8)(−23)( −21)(−29)?

A) Positive, because the products (8)(−23) and (−21)(−29) are negative, and the product of two negative numbers is positive

B)Positive, because the products (8)(−23) and (−21)(−29) are positive, and the product of two positive numbers is positive

C)Negative, because the product (8)(−23) is positive and the product (−21)(−29) is negative, and the product of a positive number and a negative number is negative

D)Negative, because the product (8)(−23) is negative and the product (−21)( −29) is positive, and the product of a negative number and a positive number is a negative number

Answers

Answer:

D) Negative, because the product(8)(-23) is negative and the product of (-21)(-29) is positive, and the product of a negative number and a positive number is negative number

answer this problem and ill will give you brainliest

Answers

Answer:

It will be B. You’ll have an open circle on 4 with the arrow pointing left.

Step-by-step explanation:

A mixture is made with 45 ounces of a 10% saline solution and $x$ ounces of a 70% saline solution. The resulting mixture is a 25% saline solution. What is the value of $x$

Answers

Answer:

x = 15 ounces

Step-by-step explanation:

A mixture is made with two types of solutions.

Solution A - 45 ounces of 10% saline solution

Solution B - x ounces of 70% saline solution

Resulting mixture - (x + 45) ounces of 25% saline solution

To get the value of x, equation will be,

(45 × 0.10) + (x × 0.70) = (x + 45) × 0.25

4.5 + 0.70x = 0.25x + 11.25

0.25x - 0.70x  = 4.5 - 11.25

-0.45x = -6.75

x = [tex]\frac{6.75}{0.45}[/tex]

x = 15 ounces    

Rick found the are of this shape is 15 square unit. If he used a smaller unit square, would his measurement be greater than 15 squares units or less than 15 square units?

Answers

Answer:

greater

Step-by-step explanation:

this is true because it is like going from feet to inches 1ft=12in the number gets larger

A 15-foot log is split into 2 pieces. How long are the pieces if the longest piece is 1.5ft shorter than two of the shorter pieces?

HELP

Answers

Answer:

8.25 ft & 6.75 ft

Step-by-step explanation:

So we know it's split into two pieces, right? So normally that would be 7.5 ft each. But one is 1.5 ft longer than the other. So as a result, I divided that by 2 to add 0.75 ft to piece one and subtract 0.75 ft from piece two's length. So, the longer piece is 8.25 ft, and the shorter one is 6.75 ft.

Answer:

Solution given:

total length=15foot

splits into 2 pieces

let shorter pieces be x.

we have longer pieces =2x-1.5ft

Now

total length=x+2x-1.5ft

15 ft =3x-1.5ft

15+1.5=3x

x=[tex] \frac{16.5}{3} [/tex]=5.5ft

Now

shorter length: 5.5ft.

longer length:2*5.5-1.5=9.5ft.

Review the function table below. Enter the slope of the function in the box.

Answers

Answer:

3

Step-by-step explanation:

Carlos has 5/8 pounds of pumpkin seeds. He puts the seeds evenly into 10 bags. How much pumpkin seeds are in each bag

Answers

Answer:

5/80 = 0.0625

Star is buying mixed nuts by the pound. For every 8 pounds of mixed nuts she buys, she pays 20 dollars. How much does 1 pound of mixed nuts cost?

Answers

Answer:

2.5 bucks:)

Step-by-step explanation:

88.7% of 58
Please help me i need the answer!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

the answer is 51.4% i Believe

What will be the distance from the center of dilation, P, to the image S'?

2 units
4 units
6 units
8 units

Answers

Answer:

the answer is 6 units..

Which speed is the fastest? Group of answer choices LaTeX: 4\:miles\:in\:\frac{1}{3}\:hours4 m i l e s i n 1 3 h o u r s LaTeX: \frac{1}{3}\:mile\:in\:4\:hours1 3 m i l e i n 4 h o u r s LaTeX: \frac{1}{2}\:mile\:in\:3\:hours

Answers

Answer:

4 miles in 1/3 houra

Step-by-step explanation:

Which speed is the fastest? Group of answer choices LaTeX:

The formula for speed =

Distance (miles) / Time (hours)

A) 4 miles in 1/3 hours

= 4 / 1/3

= 4 ÷ 1/3

= 4 × 3

= 12 miles per hour

B)1/3 miles in 4 hours

=1/3 miles/4 hours

= 1/3 ÷ 4 miles per hour

= 1/3 × 1/4 miles per hour

= 1/12 miles per hour

C) 1/2 miles in 3 hours

= 1/2 miles / 3 hours

= 1/2 ÷ 3

= 1/2 × 1/3

= 1/6 miles per hour

The fastest speed is A, 4 miles in 1/3 houra

Jorge has a Total of 67 coins. All of which are dimes and nickels. The total value of the dimes and nickels i $5.40. Find the number of each type of coin.

Answers

Answer:

There are 41 dimes and 26 nickels.

Step-by-step explanation:

From the information given, you know that you have 67 coins which would be:

x+y=67

Also, you now that the value of each coin is:

dimes= $0.10

nickels=$0.05

With this you can say that the number of dimes for its value plus the number of nickels for its value is equal to $5.40:

0.10x+0.05y=5.40

You will have the following equations:

x+y=67 (1)

0.10x+0.05y=5.40 (2), where:

x are the number of dimes

y are the number of nickels

First, you can solve for x in (1):

x=67-y

Then, you can replace (3) in (2):

0.10(67-y)+0.05y=5.40

6.7-0.10y+0.05y=5.40

1.3=0.05y

y=1.3/0.05

y=26

Now, you can replace the value of y in (3) to find x:

x=67-y

x=67-26

x=41

According to this, the answer is that there are 41 dimes and 26 nickels.

5x³y+10xy²


I will mark brainlest ​

Answers

5x³y+10xy²

we can factorise

5xy(x^2+2y)

5xy(x²+2y) ⬅️ we got this by taking common

One batch makes 15 lemon bars and Josh ate 2. If Claire ate twice as many as him, how many lemon bars would be left from the batch? *

Answers

Answer:

There are 9 lemon bars left from the batch.

Step-by-step explanation:

One batch = 15 lemon bars

Josh: ate 2 lemon bars

[tex]15 - 2 = 13[/tex]

13 lemon bars remaining.

Claire: ate twice as many as Josh

Meaning: 2 × 2 = 4

[tex]13 - 4 = 9[/tex]

9 lemon bars remaining.

There are 9 lemon bars left from the batch.

For the equation y-3=2(x+4) the line has a slope of 2 and contains what point?

Answers

Answer:

(-4,3)

Step-by-step explanation:

I got it correct :)

The point is A ( -4 , 3 ) for the equation of line y - 3 = 2 ( x + 4 ) with slope 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

The equation of the line is y - 3 = 2 ( x + 4 )

The slope m = 2

Let the point be = A ( x₁ , y₁ )

The point A can be calculated from the equation of line

From the formula for equation of line , we can substitute the values and find the point A

So ,

Equation of line is y - y₁ = m ( x - x₁ )

Substituting the value of x₁ , y₁ and m in the equation , we get

y - 3 = 2 ( x - ( -4 ) 0

So , y₁ = 3

x₁ = -4

Therefore , the point A ( x₁ , y₁ ) = A ( -4 , 3 )

Hence , the point A is ( -4 , 3 )

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ3

Which equation is a linear function?

Answers

Answer:

I WOULD SAY B sorry caps

Step-by-step explanation:

Answer: I did um the one with 7 and it works

Step-by-step explanation:

Evaluate the expression for the given values

Answers

32 because (4•8•4)/4
(4•8)=32

Samantha purchased dinner at a restaurant and spent $38 on food and beverages. Her sales tax was 7%. How much will Samantha pay for sales tax in dollars and cents?

Answers

Given:

Samantha purchased dinner at a restaurant and spent $38 on food and beverages.

Rate of sales tax = 7%

To find:

How much will Samantha pay for sales tax in dollars and cents?

Solution:

Amount spent on food and beverages = $38

Rate of sales tax = 7%

Sales tax = 7% of $38

[tex]\text{Sales tax}=\dfrac{7}{100}\times 38[/tex]

[tex]\text{Sales tax}=\dfrac{266}{100}[/tex]

[tex]\text{Sales tax}=2.66[/tex]

Therefore, the sales tax is $2.66.

Which list shows only multiples of 8?2, 4, 8


24, 32, 40


32, 96, 108


34, 42, 50

Answers

Answer:

24,32,40

Step-by-step explanation:

Answer:

24,32,40

Step-by-step explanation:

hope im right!

pls help me with this question....​

Answers

Section 1

Answers:

1.6962 = 1.70 to 2 d.p. 0.007395 = 0.007 to 3 d.p. 0.4247 = 0.425 to 3 d.p. 0.007395 = 0.0074 to 4 d.p.

-----------------------------

Explanation:

The abbreviation d.p. means decimal places

When rounding to 2 decimal places, we look at the digit in the third decimal place value slot (thousandths place). If the value is 5 or larger, then we round up. In the case of 1.6962, the second 6 tells us to round 1.69 up to 1.70

Something like 0.4247 does not round up because that second 4 is not 5 or larger. So we just are left with 0.42

The same logic applies to three decimal places, but you'll look in the fourth slot this time.

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

Section 2

Answers:

32549 = 32500 to 3 s.f. 909520 = [tex]91\overline{0}000[/tex] to 3 s.f. (note the overline bar) 32549 = 32550 to 4 s.f. 909520 = 909500 to 4 s.f.

-----------------------------

Explanation:

Recall that for a number like 32500, the 0s are not significant. This is because we can write that as 3.25 * 10^4 to convey the same idea. The only significant figures are 3, 2 and 5.

So when rounding 32549 to 3 sig figs, we just pick on the three left most values, and the rest go to 0. The 325 does not round up to 326 because the '4' isn't 5 or larger. Put another way: 32549 is closer to 32500 than it is to 32600

When rounding 909520 to three sig figs, it turns into [tex]91\overline{0}000[/tex]. The line over the first '0' tells us that zero is significant. Without this bar, the zero would be considered not to be significant. The 9095 is closer to 9100 than it is to 9000, so that's why we rounded up.

What is the inverse of the function f(x) = 4x + 8?

Answers

The answer is 1/2x-2. The first one is correct.

Classify the triangle. Check all that apply

Acute
Obtuse
Right
Scalene
Isoceles
Equilateral
Equiangular
None of the above

Answers

Answer:

The answer is Right because of the tiny square in the right corner and scalene because none of the three sides are equal in length.

Step-by-step explanation:

I hope this helps!


The constant in 2x+8

Answers

Answer:

k = 1/4 is the constant variation of 2x+8

Step-by-step explanation:

Hope it's correct  ;D

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