If f(x) = 4x − 1 and g(x) = −3x + 2 (a) Find ℎ(x) = f(x) + g(x)

Answers

Answer 1

Answer:

x+1

Step-by-step explanation:

4x - 1 + (-3x) + 2 = x + 1

Answer 2
f
(
x
+
2
)
=
3
x
+
10
Explanation:
f
(
x
+
2
)

means replace all the

x
s

with

(
x
+
2
)
f
(
x
)
=
3
x
+
4
f
(
x
+
2
)
=
3
(
x
+
2
)
+
4
Now simplify
f
(
x
+
2
)
=
3
x
+
6
+
4
f
(
x
+
2
)
=
3
x
+
10

Related Questions

The LCM of 6, 17 and 34 is

Answers

Answer: 102

Step-by-step explanation:

If I have a 68 in a class and I get 295 out of 300 points on a test, how much will the grade improve and what percentage would result?

Answers

Answer:

Use calculator

Step-by-step explanation:

Answer:

your grade would improve by a lot and if im not mistaken the resulting percentage would probably be between 80%-90%

Step-by-step explanation:

Solve.

x−8.2=−9.09

What is the solution to the equation?

Enter your answer in the box.

x =

Answers

[tex]x-8.2=-9.09\\\\\implies x = -9.09 +8.2 =-0.89[/tex]

x = -0.89

Step-by-step explanation:

when subtracting a positive number to a negative it will always be negative or atleast 0. It is like a number line, when subtracting on a number line, you always go left, which is also why its negative.

How I solved it: (just another way to solve this)

9.10-8.20=0.89

since the 9.10 was actually a negative(-9.10), it would make 0.89 negative, making it -0.89.

help me please!!!!!!!

Answers

Answer:

I have no idea.

Step-by-step explanation:

I failed geometry.

I really need help! Please, please, PLEASE do not give me a link.


Last year, Kristen read a total of 30 fiction and non-fiction books. The number of non-fiction books was 5 less than 4 times the number of fiction books.

What is the total number of FICTION books that Kristen read last year?

A. 5
B. 7
C. 23
D. 25

Answers

Answer:

7 fiction and 23 non- fiction

Step-by-step explanation:

The number of non-fiction read was 5 less than 4 times the number of fiction books.

Assume fiction books are x.

An equation representing this would be:

x + (4x - 5) = 30

5x - 5 = 30

5x = 30 + 5

x = 35 / 5

x = 7 fiction books

Non-fiction books:

= 4x - 5

= 4 * 7 - 5

= 23 non - fiction books

This month is October.Which month will 2451 months later be.

Answers

Answer:

The month will be October again lol :)

Step-by-step explanation:

What are objects that are 1 kg

Answers

Answer:

One liter of water.

A Pineapple.

A Bunch of Bananas.

A 1 liter bottle of water

Which table represents a nonlinear function?
X
у
X
y
-70
-11 22
-4 2
-6
12
2
6
1
--2
5
8
9
-18
х у
х
у
- 4 0
-38
-2
-3
0
5
-4
50
6
5
-3

Answers

Answer:

bottom left choice

Step-by-step explanation:

use desmo lol. but u can just find the slope of each one and see if it is linear or not. here is the pic:

note: a1, a2, a3, a4 is the top left one, b1, b2, b3 is the top right, c1, c2, c3 is the bottom left.

hope it helps. maybe u have to visualize the graph by connecting the points

the answer is the bottom left :)

please helppp !

whats the measure of angle 1

Answers

Answer:

1 = 70

Step-by-step explanation:

The triangle is an isosceles.

Subtract the angle 40 from 180 (all angles in a triangle add up to 180

The bottom two angles are the same, so dividing the number given by 180 - 40 by 2

180 - 40 = 140

140 / 2 = 70

answer:70
explanation: because all three angles have to add up to 180 and since they gave us 40 we can easily take 40 from 180. 180-40=140 and now we have 140 left and since there’s two angle left you divide by 2, 140/2 and we would get 70

what is y-2=4(x+1) in slope intercept form​

Answers

Answer: y=4x+3

Step-by-step explanation: First, lets clean this expression up.

y - 2 = 4(x+1)

Multiply 4 times x and 4 x 1.

y-2=4x+1

add 2 to both sides.

Finally, you get y=4x+3.

Remember that 4 is your m (slope), and b (y-intercept). If you were graph this, it would increase to the right. You graph your intercept 3 on the positive y-axis at (0,3) and since your slope is 4x, you go 4 units up and 1 unit to the right and from there, you get the graph of the given equation.

Hope this explanation helps.

P(x)=3x 4 −2x 3 +2x 2 −1P, left parenthesis, x, right parenthesis, equals, 3, x, start superscript, 4, end superscript, minus, 2, x, cubed, plus, 2, x, squared, minus, 1 What is the remainder when P(x)P(x)P, left parenthesis, x, right parenthesis is divided by (x+1)(x+1)left parenthesis, x, plus, 1, right parenthesis?

Answers

The remainder when the polynomial is divided by x + 1 is 2

Given the function P(x)=3x^4 −2x^3 +2x^2 −1, to get the rmainder if the polynomial is divided by x + 1, we will substitute x = - 1 into the function to have:

P(-1) = 3(-1)^4 −2(-1)^3 +2(-1)^2 −1

P(-1) = 3(1) - 2 + 2(1) - 1

P(-1) = 1 + 1

P(-1) = 2

Hence the remainder when the polynomial is divided by x + 1 is 2

Learn more on polynomials here: https://brainly.com/question/4142886

Answer:

6

Step-by-step explanation:

:)

which graph best describes the slope of the line in the graph? a) positive b) negative c) zero d) undefined
pleassseeeee

Answers

Ok, so you didn't put any picture to go along with the question but hey, thats ok because I can still help you.

In order for a graph to be positive, it has to be leaning to the right.

In order for a graph to be negative, it has to be leaning to the left.

In order for a graph to be zero, it has to be horizontal.

In order for a graph to be undefined, it has to be completely vertical.

You can look at the picture below if you still need help.

P.S. The picture with the yellow lines is the ones that are zero and undefined. The yellow line on the left is undefined, the yellow line on the right is zero.

5x – 9 = 3x + 7
Solve for x

Answers

Answer:

Solving for x

5x - 9 = 3x + 7

subtract 3x from both sides

-3x          -3x

2x - 9 = 7

get rid of constants by adding 9 on both sides since addition is the inverse operation of subtraction

+9      +9

2x = 16

divide by 2 since that is the inverse operation of multiplication

/2    /2

x = 8

The solution for ''x'' for the expression ( 5x – 9 = 3x + 7

What is an expression?

Expressions can be evaluated, meaning that they can be simplified to a single value. The value of an expression depends on the values of any variables or numbers within the expression.

To solve for x in equation 5x - 9 = 3x + 7, we want to isolate x on one side of the equation. We can do this by performing the same operation on both sides of the equation, in order to keep the equation balanced.

First, we can simplify both sides of the equation by combining like terms:

5x - 9 = 3x + 7

2x - 9 = 7

Next, we can add 9 to both sides of the equation to isolate the variable term:

2x = 16

Finally, we can divide both sides of the equation by 2 to get the value of x:

x = 8

Therefore, the solution to the equation 5x - 9 = 3x + 7 is x = 8.

To know more about an expression follow

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What is the graph for y = { x + 1?
y 1 2 1?
a)
b)
c)
d)
Enter

Answers

Answer:

The graph for y = (1/2)x + 1 is C.

Step-by-step explanation:

y = (1/2)x + 1

This line has a slope of 1/2.  That is a positive line, so option A is incorrect.  It also has a y-intercept of 1.  The value of y when x is zero is 1.  There are two graphs in which the line intersects (0,1):  A and C.  But A has already been rejected, so it must by Graph C:  

Double check this to see if the slope is 1/2.  Does y increase by 1/2 for every step of 1 on x?  Graph C:

x     y

-2     0

-1      1/2

0       1

+1      1 1/2

+2      2

Yes:  Y increases by (1/2) for every x increase of 1.

The graph for y = (1/2)x + 1 is C.

Java 1
Question 14

If x is 5 and y is 10, what will the output of the following code be?


return x > y;


a. true

b. false

c. 10

d. 5

e. 0

Answers

Answer:

it will return 10

Step-by-step explanation:

As you can see 5 = x ad y = 10. So is say's x is lesser than 10 so 10 will be the ne to return

Estimate a 15% tip on a dinner bill of $32.43 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Estimate Tip =  $4.50

Step-by-step explanation:

The bill to the nearest $10  is $30.00 :  ( $ 30 ($32.43) $40, it is nearer to $30

Estimate Tip = Bill rounded to the nearest $10  ×  Tip %

Estimate Tip = $30 × 15%

Estimate Tip = $30 × .15                  (15% change to a decimal is .15)

Estimate Tip = $4.50

Your softball team is ordering equipment from a catalog. Each bat costs $42. The cost of shipping is $12 no matter how much you order. The total cost is $348. How many bats did your team order?

Answers

348 - 12 = 336


8.
———
42 | 336


The answer is 8

how to turn x+7y=20 into y=mx+b

Answers

Answer:

  y = -1/7x +20/7

Step-by-step explanation:

Solve for y.

  7y = -x +20 . . . . . subtract x from both sides to get the y-term by itself

  y = -1/7x +20/7 . . . . divide both sides by the coefficient of x

In this form, you can see ...

m = -1/7b = 20/7 = 2 6/7

Answer:

y=-1/7x+20/7

Step-by-step explanation:

So they are asking us to put x+7y=20 into slop-intercept form (y=mx+b).

They're pretty much just asking us to solve for y.

x+7y=20

7x=20-x (Subtract x from both sides)

y=20-x/7 (Divide 7 on both sides to isolate y)

y=20/7-1/7x

y=-1/7x+20/7

So..

m=-1/7

b=20/7

Hope this helps :)

Please find the value of P. ​

Answers

Answer:

[tex]\huge\boxed{\sf p = 48\°}[/tex]

Step-by-step explanation:

Since, interior angles of a triangle add up to 180 degrees.

So,

S + Q + R = 180°

S + 44 + 40 = 180

S + 84 = 180

Subtract 84 to both sides

S = 180 - 84

S = 96°

Since S is divided into two p angles because ST is an angle bisector (dividing the angle into two "equal" parts)

So,

S =  p + p

S = 2p

96 = 2p

Divide both sides by 2

48 = p

OR

p = 48°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Which expression can be used to find the surface area of the following square pyramid?
ea
Choose 1 answer:
100 + 80 + 80 + 80 + 80
100 - 80
10 + 10 +8+8+8+8
100 + 40 + 40 + 40 + 40

Answers

Answer:

surface area=1/2perimeterofbase+slantheight+b(base)

Step-by-step explanation:

1/2(40)=20(8)=160+100=260D

Answer:

is 10+10+8+8+8+8

Step-by-step explanation:

just trial. not sure

jill spent $215.70 on books. math books cost $28.50 and english books cost 21.70. if she bought a total of 9 then how many of each kind did she buy

Answers

Jill bought 3 Math books and 6 English books.

Can someone please give me the (Answers) to this? ... please ...

Answers

Answer:

A.

1 ) 1/2

2 ) - 1

3 ) 1/2

4 ) 5/4

B.

5 ) not defined

6 ) 0

7 ) 15/14

8 ) - 2/5

C )

9. - 1

10. - 4/3

11. 2

12. 14/3

Answer:

A.

1) 1/2

2) -1

3) 1/2

4) 5/4

B.

5) not defined

6) 0

7) 15/14

8) - 2/5

C.

9) -1

10) -4/3

11) 2

12) 14/3

Find the composition of
transformations that
map ABCD to EHGF.
Reflect over the y-axis,
then translate
(x-2, y+[ ? ]).

Answers

Answer:

[(x + 6), (y + 1)]

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

For the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

The graphs can be translated or moved about the xy-plane

After point D is reflected across the y-axis, its coordinates are

D(-1, 2) ⇒ D'(1, 2)

This is the point that gets translated to F(-3, -2). The translation is

F -D' = (-3, -2) -(1, 2)

= (-3-1, -2-2)

= (-4, -4)

Then the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

Hence, for the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

To learn more on Graph click:

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Can someone please help me with this quick question

Answers

Y axis because the y value did not change

Solve the following for :
60/3=x/4

Answers

Answer:

80

Step-by-step explanation:

60/3 becomes 20 and then it says equal to 1/4 x because x divided by 4 so we multiply by 4 to get 80

There are 200 students in Year 11
75 of the students are girls.
Write down the fraction of the students that are girls.

Answers

Answer:

75/200

Step-by-step explanation:

You can also simplify this.


shares of AT&T stock were purchased for $8,250. What is the cost of ten shares?

Answers

Answer:

$82,500

Step-by-step explanation:

Since each share is 8250 and we want to find to find 10 shares, we can do 8250 (price of each share) x 10 (amount of shares) and we get $82500

If f(x)= x^2 - x+ 1 and f (-1), then the result is

Answers

Answer:

3

Step-by-step explanation:

To solve f(-1), entails to replace x by -1 in the function

f(-1)= (-1)^2 - (-1)+ 1

= 1 + 1 + 1

= 3

Please help will give brainliest.
What is the factored form of the following expressions?

d2 + 16d + 60
Group of answer choices

(d – 10)(d – 6)

(d + 10)(d + 6)

(d – 10)(d + 6)

(d + 10)(d – 6)

Answers

Answer:

B.

Step-by-step explanation:

Answer: (d+10) (d+6)

A quadrilateral regular pyramid, the area of any of its lateral faces equal the area of its base, if the side
length of the base of the pyramid is = 6 cm, then the volume of the pyramid =..........cm3
a) 36
b) 673
c) 36/15
d) 216V15

Answers

Answer:

  c)  36√15 cm³

Step-by-step explanation:

We can compute the volume of the pyramid if we know the area of its base, and its height.

__

A regular quadrilateral is a square. If one side of the square is 6 cm, its area will be ...

  A = s² = (6 cm)² = 36 cm² . . . . area of the pyramid base

__

Each triangular face will have a slant height that makes its area the same as that of the base.

  A = 1/2bh

  36 cm² = (1/2)(6 cm)h

  (36 cm²)/(3 cm) = h = 12 cm  . . . . .  divide by the coefficient of h

The slant height of a face is the hypotenuse of a right triangle whose short leg is half the side length, and whose long leg is the height of the pyramid. If that height is represented by h, the Pythagorean theorem tells us ...

  (6 cm/2)² +h² = (12 cm)²

  h² = (144 -9) cm²

  h = 3√15 cm . . . . . height of the pyramid

__

The volume of the pyramid is given by ...

  V = 1/3Bh . . . . . . base area B, height h

Using the values we found above, we compute the volume to be ...

  V = (1/3)(36 cm²)(3√15 cm) = 36√15 cm³

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