Solve the equation.
4x – 2 = -3x2 + 3x
x = [ ? ],

Answers

Answer 1

Answer:

[tex]x = - 4[/tex]

Step-by-step explanation:

[tex]4x - 2 = - 3 \times 2 + 3x[/tex]

Calculate the product:

[tex]4x - 2 = - 6 + 3x[/tex]

Rearrange the terms:

[tex]4x - 3x = - 6 + 2[/tex]

Combine like terms:

[tex]x = - 6 + 2[/tex]

Calculate:

[tex]x = - 4[/tex]

Answer 2

Answer:
x = 1/2
Step-by-step explanation:
Combine exponents
4x-x-2=-3^2+3xx
4x-x-2=-3x^2+3x^2
Combine like terms
4x-2=-3x^2+3x^2
4x-2=0
Add 2 to both sides
4x-2=0
4x-2+2=0+2
Simplify:
Add the numbers
4x-2+2=0+2
4x=0+2
Add the numbers again
4x=0+2
4x=2
Divide both sides by the same factor
4x=2
4x/4 = 2/4
Simplify:
Cancel terms that are in both the numerator and denominator
4x/4 = 2/4
X= 2/4
Divid the numbers
X= 2/4
X= 1/2
Solution/ Answer
x= 1/2

Hope this helps


Related Questions

4. For exercise, Francesca walks laps around a track. She walked 0.9 of a lap around the track in 5 minutes. If each lap is 440 yards, how fast did
Francesca walk?
•88 yards per minute
•360 yards per minute
•90 yards per minute
• 79.2 yards per minute

Answers

Answer:

79.2 yards per minute

Step-by-step explanation:

First you 440 times 0.9. which equals 396. Then you divide the answer by 5 to get 79.2.

Questions are on the picture, a-e.

Answers

The equilibrium price is $1.12.If price is $0.98, there would be scarcity of Super Widgets. When price is $0.98, quantity demanded is y. When price is $0.98, quantity supplied is x. When price is $1.22, there would be a surplus of Super Widgets.

What is equilibrium?

Equilibrium price is the price at which the quantity demanded equals the quantity supplied. The equilibrium price is $1.12.

Above equilibrium price, quantity supplied would exceed quantity demanded and there would be a surplus. When price is below equilibrium price, quantity supplied would be less quantity demanded and there would be a scarcity.

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A box contains orange balls and green balls. The number of green balls is ten more than four times the number of orange balls. If there are 110 balls altogether, then how many green balls and how many orange balls are there in the box?

Answers

Answer:

there are 50 orange balls

Step-by-step explanation:

let green balls be x

orange balls be y

green balls = orange balls + 10

x = y+10

orange balls + green balls = 110

x + y = 10

y + 10 + y = 110

2y + 10 = 110

2y = 110 -10

2y = 100

y = 50

thus there 50 orange balls

PLEASE HELP WILL MARK BRSINLIEST!!!!!

Answers

Answer:

AC=18

Step-by-step explanation:

Let's look at the smaller triangle first. Side AB is 2.5, side BC is 3.5 and side AC is 4.5. Now, looking at the larger triangle, we see that side AB is 10, side BC is 14 and side AC is unknown.

So, how do we find side AC?

First, let's take a look at the other sides available to us—how about AB? On the smaller triangle, AB=2.5, and on the larger triangle AB=10. So, what's their relation?

Well, let's first divide the two by each other: 10/2.5, of which gets us 4. Now, this in itself gives us answer, but let's just double check to be sure. So, taking side BC on the smaller triangle, 3.5, and on the larger triangle, 14, we then divide the two again. 14/3.5 and- look at that! We get 4 again again.

This tells us that 4 is then our multiplier, so we can write the equation as follows: 4.5 (of which we get from the smaller triangle) *4=?. So, with the equation 4.5*4, we get 18 as our answer for ?, or simply the unknown side "a".


Which polynomial expression is equal to (a + 3)(a − 3)(a² + 9)?

Answers

Answer:

a⁴ - 81

Step-by-step explanation:

Identity applied :

(a + b)(a - b) = a² - b²

Simplifying :

(a + 3)(a − 3)(a² + 9)(a² - 9)(a² + 9)a⁴ - 81

Look at the image below.

Find the area of the parallelogram.

Answers

Answer:

Below.

Step-by-step explanation:

Area = base * perpendicular height

= 3 * 5

= 15 square units.

The area of the parallelogram is 15 square units.

What is Parallelogram?

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal

Area of a two dimensional shape is the total region which is bounded by the object's shape.

If the base and height is known,

Area of a parallelogram = base × height

Given base = 3

Height = 5

Area = 3 × 5 = 15 square units

Hence the required area of the parallelogram is 15 square units.

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Help asap please. Thank you!!!!

Answers

Answer:

Step-by-step explanation:

You've plotted 3 points where x = 0, 1 and 2

= where y = 1, 1 1/2 and 9/4

They are correct.

I suggest you plot 1 more where x = -1 and another where x = 3

Where x = -1 , y = (3/2)^-1 = 2/3.

x = 3 , y = (3/2)^3 = 27/8 = 3 3/8.

Given the following quadratic sequence -2, 0, 3,7
1. Write down the value of the next two terms of this sequence
2. Determine the n term of this sequence
3. Which term of the sequence will be equal to 322?​

Answers

Answer:

1) 12

2) an=n²+n-6/2

3) the 25th term

Step-by-step explanation:

check explanation in the attached image

. Estimate the sum of 277 and 854 and write them in Roman numerals.

Answers

Answer:

The answer is MC = 1100. The real answer is 1131 but I have estimated the answer to the nearest hundred.

Step-by-step explanation:

I just added them up to get the real answer. The real answer is 1131 but I have estimated the answer to the nearest hundred.

Answer: MCXXXI
The sum of 277 and 854 is 1131.
M = 1000
C = 100
X = 10
I = 1


The variables x and y vary inversely. Use x = 4 and y = 8 to write an equation relating x and y. Then find y when x
= 2.

Answers

Answer:

y=[tex] \frac{32}{x} [/tex]16

Step-by-step explanation:

y=

[tex] \frac{k}{x} [/tex]

when x=4 and y = 8

k =xy

k=4×8=32

:- y=

[tex] \frac{32}{x} [/tex]

when x = 2

y=

[tex] \frac{32}{2} [/tex]

:- y = 16

Which graph represents the function f(x) = –x2 + 5? On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (0, 5), and goes through (3, negative 4). On a coordinate plane, a parabola opens up. It goes through (negative 2, 9), has a vertex at (0, 5), and goes through (2, 9). On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 9), has a vertex at (negative 5, 0), and goes through (negative 2, negative 9). On a coordinate plane, a parabola opens up. It goes through (negative 8, 9), has a vertex at (negative 5, 0), and goes through (negative 2, 10).

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have the quadratic function

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

This is a vertical parabola open downward

The vertex is a maximum

Remember that

The equation of a vertical parabola in vertex form is equal to

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

where

a is a coefficient

(h,k) is the vertex

In this problem

a=-1

(h,k)=(0,5) ----> vertex

The y-intercept is the point (0,5) ---> value of y when the value of x is equal to zero (is the same point that the vertex)

The x-intercepts are the points  --->values of x when the value of y is equal to zero  

using a graphing tool

The graph in the attached figure

Answer:

A on edge

Step-by-step explanation:

i took the test

Need help for this please

Answers

Step-by-step explanation:

what is the problem ?

we only need to use the formula that can be found easily on the internet.

the area of a circle is

pi×r²

r being the radius (half of the diameter). in our case :

14/2 = 7 m

and we shall use 22/7 as approximation for pi.

so, we get as circle area

22/7 × 7² = 22 × 7 = 154 m²

I really need help with this.

Answers

Answer:

300 cm cubed or 300 cm^3

Step-by-step explanation:

(b x h ) / 2 = Area of triangle

5 x 12 = 60

60 / 2 = 30

Because it is a prism, the cross-sectional area is the same throughout the prism. Therefore, you just need to multiply the area by the height/width, which is 10cm.

30 x 10 = 300 cm cubedor 300 cm^3

Answer:

1/2BA*2+l*w

1/2*12*5*2+10*13+12*10+10*5

=360cm

Teresa is maintaining a camp fire. She can
keep the fire burning for 4 hours with 6 logs.
She wants to know how many logs (y) she
needs to keep the fire burning for 18 hours.
She assumes all logs are the same.
How many logs does Teresa need to
maintain the fire for 18 hours?

Answers

Answer:

27

Step-by-step explanation:

she needs 24 logs to keep the fire for 16 hours(4×6). And for next 2 hours she's gonna need 3. altogether it's 27.

help please I'm confused​

Answers

Answer:

Milena level tro bau bola ehh

Answer:

1.3 < x < 6.7

Step-by-step explanation:

The property of triangles is that the length of the third side must be less than the sum of the lengths of the other 2 sides.

Minimum value : Taking 4.0 to be the 3rd side.

2.7 + x > 4.0x > 1.3

Maximum value : Taking x to be the 3rd side

2.7 + 4.0 > xx < 6.7

Range

1.3 < x < 6.7


Given the following equation what is the value of y if x = 7

Answers

y = 8(49) + 9(7) + 11

y = 466

Describe the end behavior of each function.
3) f(x) = -x^4+x^2 -x+1

Answers

Answer:

End Behavior is

y -> -inf as x -> -inf
y -> -inf as x -> +inf

Step-by-step explanation:

I am not sure if your teacher has explained how to look at the equation and determine the end behavior of that function without a graph. Here is a picture that explains it.

(x) = -2x - 3
g(x) = 3x + 1
Find (f .g)(x)

Answers

Answer:

Answer:-6x^2 -11x - 3

Step-by-step explanation:

(f.g)(x)=(-2x-3)(3x + 1)

= -6x^2 -11x - 3

15
Select the correct answer.
If f(x) = (x+1)-¹ and g(x)
= x^-2, what is the domain of f(x) = g(x)?

Answers

Answer:

Step-by-step explanation:

[tex]f(x)=g(x) \implies \frac{1}{x+1}=\frac{1}{x^{2}}[/tex]

This means the denominators cannot equal to (because then the fractions would be undefined) so the domain is [tex]x \in \mathbb{R} -\{-1,0\}[/tex]

Contagious diseases can spread quickly. Suppose 3 people are ill during the first week of an epidemic, and each person who is ill spreads the disease to five people by the end of the next week. By the end of the 8th week of the epidemic, how many people have become ill?

Answers

Answer:

1875

Step-by-step explanation:

3x5 = 15

15x 5 = 75

75x 5 = 375

375 x 5 = 1875

1875 because at the end of the next week, which basically turns 8 weeks into 4, and the number of contaminants multiply by 5 each other week.

[tex]\sqrt{272}[/tex] Simplify.

Answers

√272 is a real number, and the simplified expression of √272 is 4√17

How to simplify the expression?

The expression is given as:

√272

Expand

√272 = √16 * 17

Take the square root of 16

√272 = 4√17

Hence, the simplified expression of √272 is 4√17

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Graph the set {x | -7 < x < - 1} on the number line. Then, write the set using interval notation. Thank you!

Answers

To graph this on a number line, we'll have open holes at -7 and -1. Then shade between those open holes to complete the graph. The open holes tell the reader "do not include the endpoint". The x values span from -7 to -1, excluding both endpoints. Use of filled in holes, or closed endpoints, will signal that we include the endpoint.  

The answer in interval notation is (-7, -1) which unfortunately looks identical to ordered pair notation. The parenthesis tell the reader to exclude the endpoints. If you wanted to include the endpoint, then use a square bracket instead.

Summary:Graph: Plot two open holes at -7 and -1, then shade in betweenInterval notation:  (-7, -1)

SOMONE PLEASE HELP ME I WILL GIVE YOU 30 POINTS AND BRAINLESS??

Given: mZRPQ = 23°; m ZTPR = 85

If ZSPR and ZRPQ are complementary angles, then what is the measure of ZTPS?

A. 5
B. 18°
C. 23°
D. 67°

Answers

Answer:

I would think 23°

Step-by-step explanation:

I could be wrong but I would think 23° because if I remember correctly they're congruent.

To multiply 64 • 8.32, use the logarithmic equation:
1) log 72.32


2) log 64 + log 8.32


3) antilog 64 + antilog 8.32


4) (log 64)(log 8.32)

Answers

To multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32

To answer the question, we need to know what logarithm of a number is

What is the logarithm of a number?

The logarithm of a number x is the power to base 10 of that number.

So, logarithm of x to base 10 is written as ㏒x.

Since we want to multiply 64 × 83.2, we convert this to logarithmic equation using the addition rule of logarithm.

Addition rule of logarithm

㏒ab = ㏒a + ㏒b

So, 64 × 8.32 to logarithm is ㏒(64 × 8.32) = ㏒64 + ㏒8.32

So, to multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32

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Convert: 8 tons = _____ pounds


4 pounds
80 pounds
8,000 pounds
16,000 pounds

Answers

1 ton = 2000 pounds
8 tons = 2000x8 = 16000 pounds

answer : 16000 pounds

Answer:

16,000 pounds hope this helps!

please help will mark Brainliest!!​.​

Answers

Answer: 12.56
Explanation: 2pi r
2 • 3.14 • 2

What is the value of 50 x 3 - 120 / 40

Answers

Answer:

The answer is 150-3

That is 147

Step-by-step explanation:

Do This

(50 x 3)-(120/40)

150-3

147 is your answer

A person works and earns $3853 dollars but on a pay stub pays 49% to tax. What is the sales Tax?

Answers

Answer:

1887.97 (3853 * 0.49)

Step-by-step explanation:

3853 * 0.49

Rahul drives 10 miles in 20 minutes. If he drove three hours in total at the same rate, how far did he go?
Before you try that problem, answer the question below.
How many minutes did Rahul drive in total?

Answers

Answer: 180 minutes

90 miles in 3 hours

Step-by-step explanation:

60 minutes = 1 hour

60 mins/20 mins = 3

60*3 = 180

30 miles per hour for 3 hours is 90 miles

Please help me with this really need the answer please

Answers

Answer: 33.148 cm^2

Step-by-Step Explanation:

Length (l) = 2.1 cm
Width (w) = 1.34 cm
Height (h) = 4 cm
Surface Area = 2(lw + wh + lh)

Therefore,
=> 2(lw + wh + lh)
= 2(2.1 * 1.34 + 1.34 * 4 + 2.1 * 4)
= 2(2.814 + 5.36 + 8.4)
= 2(16.574)
= 2 * 16.574
=> 33.148

Surface Area = 33.148 cm^2
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