Simplify the expression to standard form

-1/2(8x - 4) + (-5 + 3x)

Answers

Answer 1

Answer:

[tex] - x - 3[/tex]

Step-by-step explanation:

1) regroup term.

[tex] - \frac{1}{2} (8x - 4) + 3x - 5[/tex]

2) Simplify 1/2 ( 8x - 4 ) to 8x - 4/2.

[tex] - \frac{8x - 4}{2} + 3x - 5[/tex]

3) Factor out the common term 4.

[tex] - \frac{4(2x - 1)}{2} + 3x - 5[/tex]

4) Simplify 4( 2x - 1 ) / 2 to 2( 2x - 1).

[tex] - 2(2x - 1) + 3x - 5[/tex]

5) Expand by distributing terms.

[tex] - (4x - 2) + 3x - 5[/tex]

6) Remove parentheses.

[tex] - 4x + 2 + 3x - 5[/tex]

6) Collect like terms.

[tex]( - 4x + 3x) + (2 - 5)[/tex]

8) Simplify.

[tex] - x - 3[/tex]

Therefor, the answer is -x - 3.


Related Questions

Write an inequality to label the shaded region of the graph
-3
2
11
X
-3
-
4
-
- 1 -2
3
4

Answers

Answer:

y < 1

Step-by-step explanation:

the value of y in the whole part is less than or equal to 1.

Consider the expression 9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2 select the equivalent expression in standerd form

Answers

Answer:

[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]

Step-by-step explanation:

Given

[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]

Required

Simplify

[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]

Open both brackets

[tex]9a^3b^6*3a^3b^2+9a^3b^6*7a^2b^2-5a^4b^4*5a^4b^4[/tex]

This gives

[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]

Find the measurement of angle 3 when angle 2 equals 15x and angle 8 equals 5x​

Answers

Answer:

change the date of 4images and the giant is the quiz on my essay

Step-by-step explanation:

you wanna play 3rd party or something else do it was 4th day

Can someone solve for x and y please

Answers

Answer:

both ansers are 2.7

Step-by-step explanation:

This is an 45˚, 45˚, 90˚ so the two smaller sides are equal so x=5.4.

the hypotenuse is always sqrt2 times bigger than the smaller sizes so y=[tex]5.4\sqrt{2}[/tex]

Help please it’s due soon

Answers

Answer:

y = 12,58 units

Step-by-step explanation:

y = opposite

15 = hypotenuse

θ = 57°

therefore we use sin

sinθ = opposite/hypotenuse

sin57° = y/15

y = 15sin(57°)

y = 12,58 units

_________________

#StayPositive - kexcvi

help i’ll give brainliest

Answers

Answer:

B and F are congruent tell me if its wrong

Step-by-step explanation:

Answer:

∠ B and ∠ F

Step-by-step explanation:

Given that

EFGH and ABCD are congruent then corresponding angles are congruent.

Then ∠ B and ∠ F are corresponding and congruent

Please I need help give you brainlist rate you heart you lol
I

Answers

Answer:

Y=1.50

Step-by-step explanation:

For the graph chart the x as the table says and the y as 1.50 for one then keep adding 1.50 for the others

1) 4x1.50= 6.00

2)5.00/1.50= 3 and 1/3

PLZ HELP IF POSSIBLE ASAP

Answers

Answer:

907.46 ft²

Step-by-step explanation:

Area of a full circle = πr²

Area of a quarter circle would therefore = ¼(πr²)

Where,

r = 34 ft

π = 3.14

Area of quarter circle = ¼(3.14 × 34²) = ¼(3,629.84)

Area of quarter circle = 907.46 ft²

EASY POINTS, PLEASE ANSWER ASAP, WILL MARK BRAINLIEST

what is the slope intercept of this equation?
After Selling 15 Lemonades, Jessica made 5 dollars. After selling 42 lemonades, she made 18.50

Answers

Answer:

y = 1/2x - 2.5

Step-by-step explanation:

(15, 5) and (42, 18.5)

Slope:

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

m=(18.5 - 5)/(42 - 15)

m = (13.5)/27

m = 1/2

y - y1 = m(x - x1)

y - 5 = 1/2(x - 15)

y - 5 = 1/2x - 7.5

y = 1/2x - 2.5

Answer:

2   or    1/2

Step-by-step explanation:

change in y over change in x

you didnt define what what x and what was y so ill provide both answers and you can figure which is correct

42-15/18.50-5   =27/13.5   =2

18.50-5/42-15    =13.5/27  =1/2

Lucas wants to have at least $4,000 in his account. He has $2,500 to deposit into an account that earns simple interest at a rate of 6%. What is the fewest number of years it will take Lucas to reach his goal?

Answers

Answer:

6.25 years

Step-by-step explanation:

Simple interest = principal x time x interest rate

simple interest = $4,000 - $2,500 = $1,500

1500 = $4,000 x 0.06 x n

1500 = 240n

divide both sides by 240

n = 6.25 years

Translate the description as an algebraic expression:
the sum of 11 cubed and a

Answers

Answer:

a + [tex]11^{3}[/tex]

or

a + 1331

Step-by-step explanation:

The sum of 11 cubed and a

[tex]11^{3}[/tex] + a

or

1331 + a

The library is 4 miles from the post office. How many yards is the library from the post office? The library is yards from the post office.

Answers

Answer:

7040 yards

Step-by-step explanation:

Because 1 mile = 1760 yards.  So 4 x 1760 = 7040.

Answer:

7040 I think

Step-by-step explanation:

sorry if I'm wrong

1. Add: 85 + (-96) *
2. Subtract: -7 – 4 *
3. Multiply: 7(-12) *
4. Divide: 6÷ (-18) *

Answers

Answer:

1 ._11

2.11

3._84

4._0.333

1.-11
2.-11
3.-84
4.-0.3

please help me giving brainlest

Answers

blue rectangle - 8 square feet
green figure - 333 square meters
blue figure - 204 square feet

vertex form and standard form

Answers

Given:

The vertex of a quadratic function is (-5,-1) and it passes through the point (-2,2).

To find:

The vertex and standard form of the quadratic function.

Solution:

The vertex form of a quadratic function is:

[tex]f(x)=a(x-h)^2+k[/tex]

Where, a is a constant, (h,k) is vertex.

The vertex of a quadratic function is (-5,-1). It means [tex]h=-5,k=-1[/tex].

[tex]f(x)=a(x-(-5))^2+(-1)[/tex]

[tex]f(x)=a(x+5)^2-1[/tex]             ...(i)

The quadratic function passes through the point (-2,2). Putting [tex]x=-2,f(x)=2[/tex] in (i), we get

[tex]2=a(-2+5)^2-1[/tex]

[tex]2+1=a(3)^2[/tex]

[tex]3=9a[/tex]

[tex]\dfrac{1}{3}=a[/tex]

Putting [tex]a=\dfrac{1}{3}[/tex] in (i), we get

[tex]f(x)=\dfrac{1}{3}(x+5)^2-1[/tex]

Therefore, the vertex for of the quadratic function is [tex]f(x)=\dfrac{1}{3}(x+5)^2-1[/tex].

The standard form of a quadratic function is:

[tex]f(x)=Ax^2+Bx+C[/tex]

We have,

[tex]f(x)=\dfrac{1}{3}(x+5)^2-1[/tex]

[tex]f(x)=\dfrac{1}{3}(x^2+10x+25)-1[/tex]

[tex]f(x)=\dfrac{1}{3}x^2+\dfrac{10}{3}x+\dfrac{25}{3}-1[/tex]

[tex]f(x)=\dfrac{1}{3}x^2+\dfrac{10}{3}x+\dfrac{22}{3}[/tex]

Therefore, the standard form of a quadratic function is [tex]f(x)=\dfrac{1}{3}x^2+\dfrac{10}{3}x+\dfrac{22}{3}[/tex].

A windowpane is 16 inches tall and the diagonal distance from one corner to the other is 20 inches . How wide is the windowpane ?

Answers

The Window pane is 184 inches.

:)

Please help, I’ll mark you as brainliest!!!!!

Answers

Answer:c

Step-by-step explanation:

If m∠T = (2x + 85) °, m∠V = (5x + 29) °, and the sum of the measures of the angles is 93 ° , find the measure of each angle.

Answers

Answer:  79 and 14

X would be -3 because (2 x -3 + 85) is 79 and doing it for (5x + 29) would get 14.

Please answer right and don’t be a bot

Answers

Answer:

its SAS

Step-by-step explanation:

segment ST is is one side then PS and RD is another because of the line across both of those and angle S

I’m not sure about this one

Answers

Answer:

It is the 3rd option

Step-by-step explanation:

HELP PYTHAGOREAN THEOREM plssss ASAP

Answers

Answer:

[tex]2\sqrt{51}[/tex]

Step-by-step explanation:

first, you have to look pythagoras theorem (in picture)

then; x² + 14² = 20²

x² + 196 = 400

x² = 204

x = [tex]\sqrt{204}[/tex] = [tex]2\sqrt{51}[/tex]

Hope this helps ^-^

Given:Hypotenuse= 20Side 1= 14To find:

The length of the unknown side ( x )

Solution:

We'll have to use pythagoras Theorem.

[tex]\huge\boxed{\sf{Formula: {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]

In this question hypotenuse is given so we'll have to subtract.

Let the unknown be "x"

[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]

[tex] {x}^{2} = {20}^{2} - {14}^{2} [/tex]

[tex]x = 204[/tex]

[tex] {x}^{2} = \sqrt{204} [/tex]

[tex]x = 14.28285686[/tex]

[tex]\large\boxed{\sf{x = 14.3 \: (nearest \: tenth)}}[/tex]

Hence, the unknown side of the given triangle is 14.3

A perfect square is the product of any positive whole number used as a factor exactly two times. [Example: 49 is a perfect square because 7 × 7 = 49] The positive whole number N, when multiplied by 150, is a perfect square. What is the least possible positive whole number value for the number N?

Answers

The least possible answer 150 for n

What is the solution 5y + 1 =31

Answers

I’m pretty sure it’s 7, do you want an explanation?

Solve for x if 5 - x = 6

A) 1
B) No solution
C) -1
D) 5

Answers

Answer:

C

Step-by-step explanation:

5 - 1 = 4

5 - 5 = 0

5 - -1 = 6

I hope this helps but the answer most likely is C

Answer:

I think it's letter C ..........

Math help 20 pointsssssssss

Answers

Answer:

Function A

Step-by-step explanation:

Answer:

Function A?

Step-by-step explanation:

Line R is represented by the equation y=x+2. Line S is perpendicular to Line R and passes through
the point (-60). What is the equation for Lines?

Answers

Answer:

C

Show your work:

A perpendicular line has a negative reciprocal slope so 2/3 becomes -3/2, then substitute your point (-6,4) and you get letter C

I used your picture since your Question does not match the picture.

Find the area of a circle with a diameter of 12 cm.


Use π = 3.14 in your calculations.




A

37.68 cm²


B

113.04 cm²


C

144 cm²


D

452.16 cm²

Answers

Answer:

B

Step-by-step explanation:

The formula for area for a circle is [tex]a = \pi[/tex] x r^2

I NEED HELP WITH THIS QUESTION THANK YOU

Answers

Answer:

hey,i can answer the question but i cant really see the coordinates

Step-by-step explanation:

1
3x +2y - 5z
If
y-42
X
=
find the value of x when y = 6 and z
2
3y

Answers

Answer:

hmmmm i saw something about 13?????

Step-by-step explanation:

help I don't get it ​

Answers

Answer:

Check to see if each input value is paired with only one output value. If so, the table represents a function.

Yes. It is a function.

Step-by-step explanation:

it’s not a function because the it is not a 1:2 ratio the way it started. so what that means is that the numbers follow the same pattern so it shows 1 to 2 then 2 to 5, the 5 would have to be a 4 for it to be a function
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