How many solutions does the equation 4x + 2(x - 5) = 3(2x - 4) have?
А.
no solution
B. exactly one solution
C. at least two solutions
D. infinitely many solutions

Answers

Answer 1

Answer:

C

Step-by-step explanation:

remove () and calculate the product

8x*(x-5)=3(2x-4)

distribute 8x through the ()

8x^2-40x=6x-12

move the expression to the left-hand side and change its sign

8x^2-40x-6x+12=0

collect like terms

8x^2-46x+12=0

determine the number of solutions using the discriminant D=b^2-4 a c

D=(-46)^2-4*8*12

simply the expression

D=1732

Since D>0, the quadratic equations has 2 real solutions


Related Questions

Line WV is perpendicular to both line RS and line TU.

On a coordinate plane, 3 lines are shown. Line V W goes through (negative 1, 5) and (1, 5). Line R S goes through (negative 5, 3) and (5, 1). Line T U goes through (negative 1, negative 2) and (4, negative 3).

Which statement must be true about line TU?

Line TU is parallel to line RS.
Line TU is perpendicular to line RS.
Line TU has no slope.
Line TU has a slope of –5

Answers

Answer:

Line TU is parallel to line RS

Step-by-step explanation:

I just got a 100 on the test

Line TU is parallel to line RS and has a slope of -1/5

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where m is the slope and b is the y intercept.

Line V W goes through (-1, 5) and (1, 5). Line R S goes through (-5, 3) and (5, 1). Line T U goes through (-1,-2) and (4, -3).

Slope of VW = (5 - 5)/(1- (-1)) = 0

Slope of RS = (1 - 3) / (5 -(-5)) = -1/5

Slope of TU = (-3 - (-2))/(4 - (-1)) = -1/5

Line TU is parallel to line RS and has a slope of -1/5

Find out more on linear equation at: https://brainly.com/question/14323743

Scientific notation for
78 million

Answers

Answer:

78 million in scientific notation is 7.8 x .

Step-by-step explanation:

Solve the equation:

t+3/3 = 11

Answers

Answer:

t = 2

Step-by-step explanation:

3 times 3 = 9 and 11 minus 9 equals 2

California has 143deaths from heart disease and 137deaths from cancer per100,000 residents. Which rate is more extreme compared to other states? A.Perform any needed computations here: b. Is California's rate for heart disease or for cancer more extreme compared to the other states? Explain:

Answers

Answer:

California's rate for heart disease is more extreme than Cancer

Step-by-step explanation:

Given

Represent Cancer with C and Heart Disease with H

H = 143

C = 137

Population = per 100,000

First we need to determine the probability of both.

For H

P(H) = H/100000

P(H) = 143/100000

P(H) = 0.00143

For C

P(C) = C/100000

P(C) = 137/100000

P(C) = 0.00137

By comparison,

0.00143 > 0.00137

So, California's rate for heart disease is more extreme than Cancer.

Reason: P(H) > P(C)

A file that is 228 megabytes is being downloaded. If the download is 19.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth.
I megabytes
5
?
I Don't Know
Submit

Answers

Answer:

44.9 megabytes

Step-by-step explanation:

all you need to do is find 19.7% of 228!

19.7% of 228 = 44.916

There are 100 people in a sport centre. 67 people use the gym. 62 people use the swimming pool. 56 people use the track. 38 people use the gym and the pool. 31 people use the pool and the track. 33 people use the gym and the track. 16 people use all three facilities. A person is selected at random. What is the probability that this person uses at least 2 facilities?

Answers

Answer:

7/10

Step-by-step explanation:

For a person to use at least two of the facilities means they can use the three facilities as well.

Let n(U) be the total people in the sport centre = 100

n(G) be people that uses gym = 67

n(S) be people that uses swimming pool = 62

n(T) be people that uses track = 56

n(GnP) be gym and pool = 38

n(PnT) be people that use the pool and the track = 31

n(GnT) be people that use the gym and the track = 33

n(GnPnT) be people that use all three facilities = 16

People that uses gym and pool only = n(GnP) - n(GnPnT)

= 38-16

= 22

People that uses pool and track only = n(PnT) - n(GnPnT)

= 31-16

= 15

People that uses gym and track only = n(GnT) - n(GnPnT)

= 33-16

= 17

Total people that uses at least 2 facilities = 16+22+15+17 = 70

Probability that this person uses at least 2 facilities = Total people that uses at least 2 facilities/Total people in the sport centre

Probability that this person uses at least 2 facilities = 70/100 = 7/10

Find the value of a. then find the angle measures of the polygon


Answers

Answer is 2a=120 and a=60
2a+2a+a+a=360
6a=360
a=60

2a
2(60)=120

I HAVE 5 MINUTES PLZ HELP!
(Multiple choice)

Answers

Answer:

i think its B or A

Step-by-step explanation:

I think A. Hope this helps!

Which of the following r-values represents the strongest correlation?
O A. -0.51
B. -0.61
C. -0.41
D. -0.71

Answers

Answer:

Step-by-step explanation:

-0.71

The r - value -0.71 represents the strongest correlation which is negative correlation.

What is the correlation coefficient?

The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.

For the given situation,

The options has the r - values, we need to check which option represents the strong correlation.

Now., The relationship between two variables is generally considered strong when their r value is larger than 0.7.

A correlation of r = -0.71 suggests a strong, negative association between two variables.

A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.

Hence, we can conclude that the r - value option (D) -0.71 represents the strongest correlation which is negative correlation.

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Work out the answers to:
a) 13+ (-20)
b) (-14) + (-11)
c) 18 -(-9)
d) (-21)-(-36)

Answers

Answer:

a. -7

b. -25

c. 27

d. 15

Step-by-step explanation:

The solution of expression is a) 13 + (-20) = -7

b) (-14) + (-11) = -25

c) 18 - (-9) = 27

d) (-21) - (-36) = 15

a) 13 + (-20) = -7

To add a positive number and a negative number, we subtract the absolute values and use the sign of the number with the greater absolute value.

b) (-14) + (-11) = -25

When adding two negative numbers, we simply add their absolute values and retain the negative sign.

c) 18 - (-9) = 27

Subtracting a negative number is equivalent to adding its positive value. Therefore, 18 - (-9) becomes 18 + 9, which equals 27.

d) (-21) - (-36) = 15

Similar to the previous example, subtracting a negative number is equivalent to adding its positive value. (-21) - (-36) becomes (-21) + 36, which equals 15.

Learn more about expression here

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Hayley eats oatmeal for
breakfast every day. She
checked her pantry this
morning, and realized that she
had only 1/5 of a cup of instant
oatmeal and 4/5 of a cup of
old-fashioned oatmeal. How
much oatmeal did Hayley have
in her pantry?

Answers

Answer:

1 cup

Step-by-step explanation:

1/5 + 4/5 = 5/5 = 1 cup

9−7x=16 its a two step equation

Answers

Answer: -1

Step-by-step explanation:

1. Subtract 9 on both sides.

That would make -7x=7

2. Then divide both sides by 7.

You get -1 (7/-7 equals -1).

I really hope this helped:) can you pls make me branliestttt

What best describes the relationship between the following two lines?
y = 2x +4
y = –2x +
4
Parallel
Perpendicular
Neither parallel nor perpendicular

Answers

Answer:

Neither parallel nor perpendicular

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define lines

y = 2x + 4

y = -2x + 4

Parallel lines have the same slope but different y-intercepts. If the 2 lines were parallel, their m value would be the same. If the original line's slope is 2, the parallel line's slope would also be 2. Therefore, they aren't parallel.

Perpendicular lines have the negative reciprocal of the original slope. If the 2 lines were perpendicular, one slope would be 2 and the other slope would be -1/2. Therefore, they aren't perpendicular.

Therefore, our answer is neither parallel nor perpendicular.

Answer:

Neither parallel nor perpendicular.

Step-by-step explanation:

y =  2x +4

y = -2x + 4

The 2 slopes are 2 and -2.

If they were equal the 2 lines would be parallel.

If  they had the relationship  slope1 * slope2 = -1 they would be perpendicular.

They are neither so its the last choice.

plzzz answer these i will make you brainliest

Answers

Answer:

6. (x,y) -> (x,y-4)

7. (x,y) -> (-x,y)

Step-by-step explanation:

6. You shift it 4 units down. Y makes things go up and down.

7. Youre flipping it over the Y axis. It doesnt change the Y values, only the X.

This is my question​

Answers

[tex]f(x) = (x - 4)(x - 3) \\ g(x) = \frac{7}{(x - 4)(x + 4)} \\ f.g = (x - 4)(x - 3) \times \frac{7}{(x - 4)(x + 4)} \\ (x-4)s \: are \: simplified \\ f.g = \frac{(x - 3) \times 7}{x + 4} = \frac{7x - 21}{x + 4} \\ (f.g) (x) = \frac{7x - 21}{x + 4} [/tex]

which is the best estimate for (8.9 x 10^8)(3.3 x 10^4 written in scientific notation?

Answers

Answer:

3 x10^4

Step-by-step explanation:

April's flower bed has a length of 5 feet and a width of twelve twelves feet. Which of the following is true?

A. The area of the flower bed is equal to 12 square feet.
B. The area of the flower bed is larger than 12 square feet.
C.The area of the flower bed is equal to 5 square feet.
D. The area of the flower bed is smaller than 5 square feet.

Answers

Answer:

B

Step-by-step explanation:

12 times 5 = 60

12<60

The weights of five grapefruits are 7.47 ounces, 7.23 ounces, 6.46 ounces, 7.48 ounces, and 6.81 ounces. Using the clustering estimation technique, what is the approximate total weight of the grapefruits?
34 ounces
35 ounces
35.45 ounces
35.5 ounces

Answers

Answer:

The approximate total weight of the grapefruits, using the clustering estimation technique is B. 35 ounces.

If you add all the grapefruit weights then you would get an exact answer

would be 35.45

Answer:

B  35

Step-by-step explanation:

have a good day! <3

I WILL MARK YOU THE BRAINLYEST IF YOU HELP ME PLEASE!!!!!
The expression -50X+ 100 represents the balance in dollars of a bank account after X months.


What is the rate of change in dollars per month of the bank account balance?


A.) $100 per month


B.) $50 per month


C.) $-50 per month


D.) $-100 per month

Answers

Answer:

it's B

50(-x+2)

Answer:

hoesty ill pick c or a ut you risk it for the biscuit

Step-by-step explanation:

Hope this helps leave a heart pls ad if you have questios im here c:

John made $122 in 8 hours.how much did he make per hour

Answers

Answer:

$15.25

Step-by-step explanation:

It’s 15.25 I believe

Need help ASAP, Tysm :)

Answers

Answer:

16

Step-by-step explanation:

Plug in -4: [tex]-(-4)^{2}[/tex]  Simplify: [tex]4^{2}[/tex]  [tex]4^{2}[/tex] = 4 × 4 = 16

I hope this helps!

A truckload of plastic soda bottles was finely shredded at a recycling center. The plastic shreds were placed into 55-liter drums. What it the mass of the plastic shreds inside one of the drums in kg? Assume lowest density within the range.

Answers

Answer:

75,900 g

Step-by-step explanation:

m=d×v

(1.38g/cm^3) × (55,000)

The mass of the drum is 75.9 kg.

What is the mass of the drum?

The mass of the drum is the product of the volume and density of the drum.

What are Arithmetic operations?

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have been given that the plastic shreds were placed into 55-liter drums.

We have to determine the mass of the plastic shreds inside one of the drums in kg.

Here density of the drum = 1.38g/cm³ and the volume of the drum = 55,000

The mass of the drum = (1.38g/cm³) × (55,000)

The mass of the drum = 75,900 g

The mass of the drum = 75.9 kg

Learn more about Arithmetic operations here:

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Write the equation in slope-intercept form of the line given that the slope of the line is 5 and the line passes
through the point (3, 4)

Answers

Answer:

let's go...

Step-by-step explanation:

We should use this function to find the standard form the line :

[tex]y - y(given \: point) = (gradient) \times ( \: x - x(g \: p) \: ) \\ y - 4 = 5 \times (x - 3) \\ y - 4 = 5x - 15[/tex]

subtract the sides of the equation plus 4

[tex]y = 5x - 15 + 4 \\ y = 5x - 11[/tex]

And we're done buddy.

good luck ♥️♥️♥️♥️♥️.

Convert 0.4 J to kJ.
Please show working

Answers

Answer:

0.0004

Step-by-step explanation:

divide the energy value by 1000

0.4/1000

0.0004. Just like what the other comment said, divide the value of energy by 1000

is 1.6x – 2.4y = 4 linear or nonlinear ​

Answers

Nonlinear...........................or it could be a linear

Answer:

Nonlinear have a good day

Step-by-step explanation:

WILL GIVE BRAINLIST TO THE PERSON WHO DOES THE BEST EXPLANATION!! I need to TURN IT IN TODAY PLEASE HELP!!

If you DONT KNOW please do NOT ANSWER because you will automatically loose points. From what I mean is the monitor will mark you to the point where you will LOOSE POINTS for the consequences.

Answers

Angle C =50
Geometric relation is alternate interior angle.

Angle G=125
Geometric relation is vertically opposite angle.

Angle K =125
Geometric relation is alternate interior angle.

Answer:

C =50

Geometric relation is alternate interior angle.

G=125

Geometric relation is vertically opposite

K =125

Geometric relation is alternate interior angle.

Step-by-step explanation:

What is 24.9% to a fraction in simplest form?​

Answers

Answer:

The answer is 249/1000

Step-by-step explanation:

I thought of a number. 3/4 of my number is 36.

Answers

Answer:

is it 27....

Step-by-step explanation:

this is because 3/4 of 36 is 27

Answer:

48

Step-by-step explanation:

The answer is 48 because when 36 is divided by 3 it equals 12 and if it is 3/4 then that means it is 12x4 which is 48 so here you go

3x16-12 divided by 6
Evaluate the Expression

Answers

Answer:

6

Step-by-step explanation:

3x16-12 divided by 6

3 (16) - 12

     6

= 48 - 12

       6

= 6

NEED HELP ASAP! Tysm

Answers

Answer:

7

Step-by-step explanation:

First you gotta plug in the values and you get 5*2 - 6(-4)/7

5 squared is 25

-6 times -4 is +24

25 + 24= 49

49/7= 7

Hope this helps! :)

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When we reached the gulch, Ham said, "Now, the first thing to do is to get down to the bottom." "That looks easy! Right this way!" Thune began excitedly clambering down the rocks. Soon, we all stood at the bottom of Crooked Arm Gulch. We excitedly looked around for the entrance to the Cave of Gold, looking in vain. In front of us the wall of the gulch had been hollowed out into a great overhanging arch, seventy-five or more feet in height and some fifteen feet deep. Could this be the miner's Cave of Gold? In a minute more, we all were searching for the hidden entrance to the cave on the back wall of the arch. Thune stopped in front of a large flat rock that had fallen so that it stood nearly on edge, leaning against the back wall of the arch. "Come, give me a hand, Bud," he said to me, "and let's see what is behind this rock." 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