Can someone PLEASE solve this quadratic equation by factoring with the steps? :(

y= x squared +2x - 2

Answers

Answer 1

Answer:

There are no simple factors to this expression.  You can however solve for x, giving you:

x = -1 ± √(y + 3)

Step-by-step explanation:

There is no simple pair of factors to this equation, so we'll have to go through the full process.  You can see that by observing that there is no pair of rational numbers that add to make 2 and multiply to make -2.  We can however solve for x:

[tex]y = x^2 + 2x - 2\\y + 2 = x^2 + 2x\\y + 3 = x^2 + 2x + 1\\y + 3 = (x + 1)^2\\(x + 1)^2 = y + 3\\x + 1 = \pm \sqrt{y + 3}\\x = -1 \pm \sqrt{y + 3}[/tex]


Related Questions

The front of Rosie's house is similar in shape to the front of Sparky's doghouse. The base of the doghouse is 6 feet and the height is 5 feet. If the height of Rosie's house is 27.5 feet, what is the length of its base? If necessary, round your answer to the nearest tenth.

1. 22.9 ft pick and awnser!! :)

2. 28.5 ft

3. 33 ft

4. 30 ft

Answers

Answer:

33feet

Step-by-step explanation:

If the base of the doghouse is 6 feet and the height is 5 feet, we can write;

6 feet base = 5 feet height

To get the length of the base if the height is 27.5feet

x feet base = 27.5 feet high

Divide both expressions

6/x = 5/27.5

5x = 6 * 27.5

5x = 165

x = 165/5

x = 33ft

Hence the length of its base will be 33feet

What is Negative 4/7 as an equivalent fraction?

Answers

Nsnsn wake okk nskeind

subtract 1x²-2x-6 from -6x + 5​

Answers

not sure how to type it out but here

the table gives information about the lengths of time spent in hours, some children spent watching Tv last week

Answers

The data in the table is plotted by using a histogram as shown in the diagram attached below.

What is a histogram?

A histogram can be defined as a type of chart that is used to graphically represent a group of data points (statistical information) into user-specified ranges through the use of rectangles.

Generally, the area of each rectangle is directly proportional to the data frequency and its width is equal to the class interval.

Given the following data:

Length of time (t)                                  Frequency.

0 ≤ t < 10                                                810 ≤ t < 15                                              1515 ≤ t < 20                                             1020 ≤ t < 30                                             11

The vertical axis (y-axis) of the histogram would be used to represent the frequency density while the horizontal axis (y-axis) of the histogram would be used to represent the lengths of time spent (in hours) spent by the children in watching Tv last week as illustrated in the diagram below.

Read more on histogram here: https://brainly.com/question/21304143

2. The standard dose of medicine for a dog is 10 grams for every 15
pounds of body weight. What is the standard dose for a dog that weighs
120 pounds?

Answers

Answer:

8 will be your answer

Step-by-step explanation:

Can someone actually help with this not traditional reference angle question

Answers

Answer:

Step-by-step explanation:

If a cyclist rides 200 miles
in 5 days and rides the
same distance each day,
how many miles does the
cyclist ride each day?

Answers

Answer:

40

Step-by-step explanation:

you had to divided 200 by 5 to see what or how many miles he rid a day

Answer:

40 miles everyday

Step-by-step explanation:

45.6 kg = ____ dag
I will make you brainliest

Answers

Answer:

45.6

Step-by-step explanation:

i looked it up for you

Answer:

it will be 4560

Step-by-step explanation:

1 kg equals 100 dag

An expression is shown.
47.845+3.32
What is the value of the expression?
A.
48.177
B.
51.165
C.
481.77
D.
511.65

Answers

Answer:

The correct answer is B. 51.165

What is the scale factor?

Answers

Answer:a scale facter is a scale of how much is one each side or corner and the shape

Step-by-step explanation:

Find the LCM of the following
a) 6, 9, 15
b) 3, 12, 16
c) 8, 9, 12
d) 24, 18
e) 21, 28
f) 18, 42

Answers

Answer:

A. LCM of 6,9, and 15 is 90.

B. LCM of 3,12, and 16 is 48.

C. LCM of 8,9, and 12 is 72.

D. LCM of 24 and 18 is 72.

E. LCM of 21 and 28 is 84.

F. LCM of 19 and 42 is 798.

Step-by-step explanation:

Hope this helps! :)

If f(x) = 0, what is x?

Answers

Answer:

0

Step-by-step explanation:

Your welcome

Use the pattern on the table to find the x and y intercepts (fill in the the rest of the table )

Answers

Answer: 8

Step-by-step explanation:

2 - 8 = -6

What is the solution for the system of equations?

Use the substitution method to solve.

2x+y=20
−5y=−6x+12

Answers

2x+y=20
-2x on both sides
y=20-2x

-5(20-2x)=-6x+12
-100+10x=-6x+12
10x+6x=12+100
16x=112
x=7

Substitute x with 7
2(7)+y=20
14+y=20
y=20-14
y=6

The population of deer forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 percent per year.

Answers

Answer:

C. 3.8 years

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

[tex]P(t)=P_o(1+r)^t[/tex]

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).

We have enough information to write the exponential model:

[tex]P(t)=800(1+0.2)^t[/tex]

[tex]P(t)=800(1.2)^t[/tex]

It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:

[tex]800(1.2)^t=1600[/tex]

Dividing by 800:

[tex](1.2)^t=1600/800=2[/tex]

Taking logarithms:

[tex]t\log 1.2=\log 2[/tex]

Dividing by log 1.2:

[tex]t=\frac{\log 2}{ \log 1.2}[/tex]

Calculating:

t = 3.8 years

Answer: C. 3.8 years

Answer:

3.5 years

Step-by-step explanation:

(**10 POINTS**)
Create two expressions, 1 in the form a (b+c) and a (b - c), that equal 100.

Answers

Answer:

2(25+25) for the first one, sry if that deosnt work.

Step-by-step explanation:

20 POINTS!!!
b-74 = 12
explain your thinking

Answers

Answer:

86

Step-by-step explanation:

Step 1: Collect liketerms by switching to the terms tgat are alike to the other side

b=12+74

NOTE: while switching, the signs change to the oppositeStep 2: Add 12 + 74

b=12+74

b=86

Answer:

B=86

Step-by-step explanation:

So first step is add 74 to 12 because if you subtracted b with 74 and to reverse that you have to add and 74+12=86 and that is what b equals

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT

Is there a solution YES OR NO AND WHAT IS THE SOLUTION?

Answers

Answer:

yes there is a solution its

(2,-2)

Answer:

Yes, there should be a solution.

Step-by-step explanation:

y = -2x + 2; slope is -2.

It is graphed at (0, 2) (1, 0)

You could write this as y = -2x

y = 2x - 6; slope is 2.

It is graphed at (0, -6) (3, 0)

You could write this as y = 2x - 6

I did as much as I could, hope this helps. Good luck hun! I don't expect brainliest.

Find the volume of the figure below. 5 cm 11 cm 66 cm 82.5 cm 132 cm 165 cm​

Answers

Answer:

A) 66cm³

Step-by-step explanation:

Using the Pythagorean Theorem, the base of the triangle is 4.  The area of a triangle is 1/2 base times height.  Then you multiply times 11 to get the volume.

1/2(3)(4)(11)=66

Please help due soon will give brainliest

Answers

0,9 thats what i think it is but i'm not sure

Answer:

D, (8,7)

Step-by-step explanation:

On the graph shown that is where the two lines intersect.

2x^4y^-4
—————
8x^7y^3

Answers

Answer:

16x11/y (i hope)

Step-by-step explanation:

what is the soultion to x in this and rounded to the nearest tenths 5x−110=447

Answers

Answer:

111.4

Step-by-step explanation:

the answer is 111.4 :)

Which expression is equivalent to the given expression? Assume the denominator does not equal zero. (4m^5n^2 / m^2n)^3

Answers

Answer:

Step-by-step explanation:

Hope this Helps ;)

24. Make a probability model for the following. You have a raffle in which tickets cost $30.
1st prize is $2000 and has a probability of 1/1000
2nd prize is $300 and has a probability of 1/250
3rd prize is $150 and has a probability of 1/125

Answers

Answer:

uh 1/3???

Step-by-step explanation:

I thinks it’s one out of 3 probability of winning

You can buy 3 T-shirts for $24. Write a proportion that gives the cost c of buying 7 T-shirts. $$

Answers

Answer:

3/24 = 7/x

c = $56

Step-by-step explanation:

A percent proportion is just basically a ratio, I could also write this as         3:24 = 7:x, it really doesn't matter. What does matter is that this is considered a percent proportion. Now, to solve a percent proportion, we have this formula.

a/b = c/d

Say b is the unknown value, we would do (a*d)/c, say a was the unknown value, we would do (b*c)/d, Basically, A and D are linked together and B and C are linked together so you take the two values that are linked together first, multiply them together, and divide by the pair that has a partner that is unknown.

Please help immediately!!

Answers

Answer:

hjd

Step-by-step explanation:

I sell 1 piece of wood for £1000, however the price is now increased by 5000% how much will I make from 64 pieces of wood?

Answers

Answer: £3200000

Step-by-step explanation:

£1000 is 100%, so 5000% is x50 (5000/100) of £1000 which is £50000. Then 64x50000 is 3 200 000. Therefore you will make £3200000 from 64 piece of wood

What is the Mean Absolute Value?​

Answers

Answer:

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

Step-by-step explanation:

The average absolute deviation, or mean absolute deviation, of a data set is the average of the absolute deviations from a central point. It is a summary statistic of statistical dispersion or variability.

Factor the quadratic x^2-8x +16

Answers

Answer:

(x-4)^2

square root everything in the equation

In the scale used on a blueprint, 34
3
4
inch represents 4 feet. On the blueprint what is the length of a room with an actual length of 20 feet?

Answers

Answer:

67

Step-by-step explanation:

123£

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