Solve the equation by factoring.

3x^2 - 7x + 4 = 0

Solve The Equation By Factoring. 3x^2 - 7x + 4 = 0

Answers

Answer 1
Answer: (x-4)(x-3). x final solutions are: 4 and 3. Explanation:
A=3
B=-7
C= 4
A times C is 12
Since B=-7, then we have to find two factors of twelve, that also add up to -7. those factors are -4 and -3.
then we plug -4 and -3 into the factored solution. so, (x=-4) (x=-3)
it always has to be equal to zero when we solve for the x’s and we solve one at a time
when you solve x-4=0 it gives you 4
and when you solve x-3=0 it gives you 3
Hope this helps!!

Related Questions

On the drawing for a house plan, the master bedroom is rectangular and has dimensions of 2.25 inches by 2.5 inches. If the scale of the drawing is 1/8 inch = 1 foot, what is the actual area of the master bedroom? Make sure to label your answer.

Answers

The answer is 16 metric units by the quarter mile

Let f (t) be the number of people, in millions, who own cell phones t years after 1990. Explain the meaning of the following statement.
f (10) = 110.3

Answers

Answer:

10 years after 1990 (or in the year 2000) there are 110.3 million people who own cell phones.

Step-by-step explanation:

t= 10 years after 1990.

We are given that f(t) is # of people in millions who own cell phones.

f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.

Given that,
Let f (t) be the number of people, in millions, who own cell phones t years after 1990.  To explain the meaning of the following statement, f (10) = 110.3

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f (t) be the number of people, in millions, who own cell phones t years after 1990.

f(10) = 110.3
Implies,
In 10 years after 1990, there are 110.3 million people who owned cell phones.

Thus, f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.

Learn more about function here:

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List 3 rational numbers between -2 and -1. Find the product of smallest & greatest rational among them​

Answers

Answers may vary but here is one example:
-1.8
-1.5
-1.3
So -1.3 * -1.8 = 2.34

Can you answer this one please

Answers

first process is used in this expression

I only know the first one which is 40 I think

A circle has a diameter of 10 yd. What is its circumference?

Answers

Answer:

The circumference of the circle is 31.4 yd.

Step-by-step explanation:

From the question,

We are to determine the circumference of a circle whose diameter is 10 yd.

The formula for calculating the circumference of a circle in terms of diameter is given as

C = πd

Where C is the circumference

and d is the diameter

From the given information

d = 10 yd

and π = 3.14

Putting the parameters into the formula

We get,

C = 3.14 × 10

∴ C = 31.4 yd

Hence, the circumference of the circle is 31.4 yd.

Calculate each of the following parts of parts. Be sure to show your work. ​

Answers

Step-by-step explanation:

please mark me as brainlist please

Evaluate each expression if c = 3 and d = 7.

Part A) 6c+4−3d
Part B) 4(d−c)2+1
Part C) d2+5d−6

Answers

Answer:

Here you go! I  hope this helps

a) (6(3))+4-(3(7))

answer: 1

b) 4(7-3)2+1 =

answer: 33

c) 7^2+5(3)−6

answer: 58

Which of the following would describe Slope?

A Rise/Run


B The rate of change


C The steepness of a line


D All of the above

Answers

Answer:

D

Step-by-step explanation:

the answer is d they are all correct

Sorry that the photo is sideways.​

Answers

Answer: Answer C and D

Equations:

A. 4+4+4+4 | 16 = 4 | 1+1+1+1

B. 4+4+4+4 | 16 = 1

C. 4+1+1 | 6 = 6 | 1+1+1+1+1+1

D. 4+4 | 8 = 8 | 1+1+1+1+1+1+1+1

Mark as brainliest if this helps! :)

Find the value of x and y.

Answers


X would be 63, Y would be 27

A straight line is 180 degrees. 180-117=63

To find Y, since we know it is a 90 degree angle do 90-63 which is 27.

Does anyone got the answer to this?

Answers

Answer:

Step-by-step explanation:

Givens

C = 2*pi*r

C = pi*d

C = 125.6

r = d/2

Solution

C = pi *d

125.6 = 3.14 * d           Divide both sides by 3.14

125.6/3.14 = d

d = 40

You can use 1 of 2 methods to get the radius

The easiest one is use

r = d/2

r = 40/2

r = 20

Find the surface area of a cube with edges 6.57 cm long.
sq cm.
The surface area of the cube is
(Type an integer or a decimal.)

Answers

Answer:

258.9894 is the total surface area

A data set is given as follows:
Please give the best fit using the least squares with the following functions
(1) y = ax + b;
(2) y = ax + b;
and draw their respective graphs.

(Probability and Statistics)​

Answers

Entering the values obtained from the data in the table based on the

given functions of y = a·x + b, and y = a·|x| + b, we have;

(1) y = -0.0614·x + 1.58772

(2) y = 0.3824·x + 0.91168

How can the best fit lines be obtained?

The least squares regression formula is presented as follows;

[tex]a = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]

(1) From the data in the table, and by using MS Excel, we have;

[tex]\overline x[/tex] = -0.2

[tex]\overline y[/tex] = 1.6

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = -1.4

[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 22.8

Which gives;

[tex]a = \dfrac{-1.4}{22.8 } \approx \mathbf{-0.0614}[/tex]

1.6 ≈ b - 0.0614 × (-0.2)

b = 1.6 -  0.0614 × (0.2) = 1.58772

The equation of best fit for the function, y = a·x + b, is therefore;

y = -0.0614·x + 1.58772

(2) For the function, y = a·|x| + b, we have;

[tex]\overline x[/tex] = 1.8

[tex]\overline y[/tex] = 1.6

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = 2.6

[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 6.8

Which gives;

[tex]a = \dfrac{2.6}{6.8} \approx \mathbf{0.3824}[/tex]

1.6 ≈ b + 0.3824 × (1.8)

b = 1.6 -  0.3824 × (1.8) = 0.91168

The equation of best fit for the function, y = a·|x| + b, is therefore;

y = 0.3824·x + 0.91168

Learn more about the least squares regression line here:

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When a hammer falls from a work bench, __________.

a
the kinetic energy of the hammer increases, while the potential energy increases
b
the kinetic energy of the hammer decreases while its potential energy increases
c
The kinetic energy of the hammer increases while the potential energy decreases
d
the kinetic energy of the hammer decreases, while it's potential energy decreases

Answers

Answer:

b

Step-by-step explanation:

so u have to read careful

Given that f(x) = x2 + 12x + 35 and g(x) = x + 7, find (f:g)(x) and express
the result in standard form.

Answers

Answer:

x^3+19x^2+119x+245

Step-by-step explanation:

The required value of function (f:g)(x) would be (x + 5) which is the ratio of function f(x) and g(x).

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

Given that f(x) = x² + 12x + 35 and g(x) = x + 7

As per the question,

⇒ (f:g)(x) = (x² + 12x + 35) : (x + 7)

⇒ (f:g)(x) = (x² + 12x + 35) / (x + 7)

Solve the above quadratic equation, and we get

⇒ (f:g)(x) = (x² + 5x + 7x + 35) / (x + 7)

⇒ (f:g)(x) = x(x + 5) + 7(x + 5) / (x + 7)

⇒ (f:g)(x) = (x + 5)(x + 7) / (x + 7)

⇒ (f:g)(x) = (x + 5)

Therefore, the required value of function (f:g)(x) would be (x + 5).

Learn more about the quadratic function here:

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PLEASE SOLVE QUESTION 13 AND 14
DONT STEAL THE POINTS ​

Answers

Answer:

See below for solution.

Step-by-step explanation:

[tex]Q13)[/tex] [tex]\frac{\sqrt{11} - \sqrt{5} }{\sqrt{11}+\sqrt{5} }[/tex] = [tex]x - y\sqrt{55}[/tex]

LHS :-

= [tex]\frac{\sqrt{11} - \sqrt{5} (\sqrt{11}-\sqrt{5}) }{\sqrt{11}+\sqrt{5} (\sqrt{11}-\sqrt{5}) }[/tex]

= [tex]\frac{11-2\sqrt{55}+5 }{11 - 5}[/tex]

= [tex]\frac{16-2\sqrt{55} }{6}[/tex]

= [tex]\frac{2(8-\sqrt{55}) }{2(3)}[/tex]

= [tex]\frac{8-\sqrt{55} }{3}[/tex]

=> x = 8/3 and y = 1/3

=> Option B

[tex]Q14)[/tex] [tex]\frac{4}{216^{-2/3} }[/tex] + [tex]\frac{1}{256^{-3/4} }[/tex] + [tex]\frac{2}{243^{-1/5} }[/tex]

= 4 x (∛216)² + ([tex]\sqrt[4]256}[/tex])³ + 2 x ([tex]\sqrt[5]{243}[/tex])

= 4 x 36 + 64 + 2 x 3

= 144 + 64 +6

= 144 + 70

= 214

James is running around a square field. He starts at point A, then runs around the perimeter, passing through points B, C, and D, until he gets back to point A. Then he cuts across the diagonal to point C. In total, he covers 271 m. If AB¯¯¯¯¯¯¯¯ is 50 m long, what is the length of the diagonal AC¯¯¯¯¯¯¯¯?

Answers

Answer:

i dont know can someone help me out im dying over here

2. Approximately 2% of the nation's children (about 1.7 million) have a parent who is in jail or prison. Let X be the number of children that have an incarcerated parent from a random sample of 100 children. (a) Verify that this is a binomial setting by identifying the four criteria in this problem. (b) Describe what P(X = 0) means in context. (c) Find P(X = 0) and P(X = 1). *

Answers

Answer:

2% 2% of the nation's children (about 1.7 million) have a parent who is in jail or prison.

Carl wrote three numbers beetween 0.48 and 0.49, what numbers could carl have written

Answers

Answer:

0.481, 0.487653287..,. and 0.48953

Step-by-step explanation:

There is no way I could know what numbers Carl has writen because there is an uncountably infinite number of numbers Carl could have written. But if I had to guess it would be 0.481, 0.487653287... and 0.48953

What is the missing base of 16=____ to the power of 4?

Answers

16=2 to the power of 4

Three consecutive integers have a sum of 72. Find the integers.

Answers

Answer:

Step-by-step explanation:

x is smallest integer

x + (x + 1) + (x + 2) = 72

3x + 3 = 72

3x = 69

x = 23.

This means that the integers are 23, 24, and 25.

A cube made out of lead has a mass of 12 grams. A side of the cube has length 1 cm. What would be the mass of the cube whose sides have length 1.5 cm?

Answers

Answer:

The mass of a lead cube whose side have length 1.5 cm is 40.5 grams

Step-by-step explanation:

1. Let's review the information given to

1. Let's review the information given tous to answer the question correctly:

1. Let's review the information given tous to answer the question correctly:Mass of the cube made out of lead = 12

= 12grams

Side of the cube = 1 cm

2. What would be the mass of a lead

What would be the mass of a leadcube whose sides have length 1.5 cm?

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let's

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube and

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube andthen its density, this way:

Volume = Height* Width * LengthVolume=1*1*1Volume =1 cm

Let's recall the formula of the density:

Density Mass/Volume, therefore:

Density of the lead = 12/1= 12 gr/cm

Now, let's calculate the volume of the

Now, let's calculate the volume of thesecond cube:

Volume = Height Width LengthVolume = Height Width LengthVolume 1.5 * 1.5 1.5Volume = Height Width LengthVolume 1.5 * 1.5 1.5Volume =3.375 cm3

Finally, let's calculate the mass, using

Finally, let's calculate the mass, usingthe density of the lead we already

Finally, let's calculate the mass, usingthe density of the lead we alreadyknow:

Density = Mass/Volume12 Mass/3.37512 Mass/3.375Mass 12 *3.37512 Mass/3.375Mass 12 *3.375Mass = 40.5 gramss

5. Find the length of the missing side. If necessary, round to the nearest tenth. 38, 34 on a triangle. ​

Answers

Answer:

for your I'm pretty sure that it's 34

NET OF TOY BOX
13
14
9
What is the surface area, in square feet, of the toy box?
Answer: A =
ft?
Submit Answer
wento

Answers

Solution:

We know that:

[tex]L = 13 \ feet[/tex][tex]B = 14 \ feet[/tex][tex]H = 9 \ feet[/tex]

[tex]Surface \ area = 2LB + 2BH + 2LH[/tex]

Step-1: Substitute the length, breadth, and height.

[tex]Surface \ area = 2LB + 2BH + 2LH[/tex]=> [tex]Surface \ area = 2(13)(14) + 2(14)(9) + 2(13)(9)[/tex]

Step-2: Find the surface area.

=> [tex]Surface \ area = 2(13)(14) + 2(14)(9) + 2(13)(9)[/tex]=> [tex]Surface \ area = 364 + 252 + 234[/tex]=> [tex]\bold{Surface \ area = 850\ feet^{2}}[/tex]
Length=14ft=LBreadth=B=9ftHeight =H=13ft

[tex]\\ \rm\Rrightarrow TSA=2(LB+BH+LH)[/tex]

[tex]\\ \rm\Rrightarrow TSA=2(126+117+182)[/tex]

[tex]\\ \rm\Rrightarrow TSA=850ft^2[/tex]

1/7of21 what is answer

Answers

3

Step-by-step explanation:

1/7 of 21

=1/7 ×21

=1×3

= 3

Please mark my answer the brainliest and rate me 5 star and follow me.

please please please please please please

L need help with this pls

Answers

Answer:

75

Step-by-step explanation:

The lines l and m are already parallel so in order for that to be correct the measure of angle x would be 75 degrees :)

paint store sells 4 pt of paint for $19.

Answers

They would make $76

fkfjfnfhfidhdhdud my ruebrddbdd by djdudn

Answers

what I don’t understand could you provide more info so I can help

find the x and y intercept of the graph of -9x+3y=12

Answers

Step-by-step explanation:

by graph method

x = -b/2a

b = 3, a = -9

x = -3/-18

x = 1/6

back to the equation to substitute

-9x + 3y = 12

-9(1/6) + 3y = 12

- 3/2 + 3y = 12

-3 + 6y = 24

6y = 27

y = 9/2

x = 1/6, y = 9/2

A teacher asked 23 students to close their eyes, then raise their hand up when they thought 60 seconds had elapsed. The results, in seconds, are shown below. 61 65 73 80 35 56 57 71 52 86 39 58 55 67 63 66 83 70 51 54 66 64 41 Which type of display— a stem-and-leaf plot or a line graph— is the most appropriate way to display this data? I need help ASAP

Answers

Answer:

Stem and leaf plot.

Step-by-step explanation:

The stem and leaf plot is the most appropriate way because it has lots of different values, and they can be grouped according to their tens place. Also, a line graph would have too many values in this situation to be feasible.

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