1. Solve 2(x + 1)^2 = 18. What are the x-intercepts?

Answers

Answer 1

Answer:

The x-intercepts are [tex](2,0)[/tex] and [tex](-4,0)[/tex].

Step-by-step explanation:

We are given the equation

[tex]2(x+1)^2=18[/tex]

Begin by dividing both sides of the equation by 2:

[tex](x+1)^2=9[/tex]

Next, take the square root of both sides. Remember that there are two solutions to a square root, the positive and the negative root:

[tex]x+1=\pm3[/tex]

Split the equation into two based on the two solutions:

[tex]x+1=-3[/tex]

[tex]x+1=3[/tex]

Solve each equation by subtracting 1 from both sides:

[tex]x=-4\\ x=2[/tex]

Since the x-intercepts are the solutions to a quadratic, we know the solutions are (2,0) and (-4,0).


Related Questions

Find the area of the shaded region.

Answers

Answer:

3316

Step-by-step explanation:

Hope it will help you

A researcher is studying the growth of bacteria. He starts with 260 of the bacteria. It grows continuously at a rate of 1% per hour. How many bacteria will there be in 6 hours?​

Answers

[tex]\bold{ANSWER:}[/tex]
276.0775

[tex]\bold{EXPLANATIONS:}[/tex]

Which expression is equivalent to 1/²
Or³
o po
o 12
0,27

Answers

Answer:

[tex]r^6[/tex]

Step-by-step explanation:

Hello!

Using the exponent rule [tex]\frac{a^b}{a^c} = a^{b-c}[/tex], we can simplify this expression.

Simplify:

[tex]\frac{r^9}{r^3}[/tex][tex]r^{9-3}[/tex][tex]r^6[/tex]

The solution is [tex]r^6[/tex]

what is the 5th grade meaning of congruent

Answers

Congruent means the same shape and the same size

Two great structures are
described below. What is the
difference, in square feet, between the visible
surface area of
the Great Pyramid and the first tower of the World Trade
Center? (Hint: The bottom side is not visible for either
structure.)
On September 11, 2001,
terrorists crashed planes
The Great Pyramid of
Giza, built around 2550
B.C., has a square base
with a length of 756 feet,
and the distance from
the middle of any base
side to the top is 612 feet.
into the World Trade
Center Twin Towers. The
first tower was a
rectangular prism with a
square base whose sides
were 208 feet long. The
tower was 1,368 feet tall.

Answers

The difference, in square feet, between the visible surface area of

The Great Pyramid and the first tower of the World Trade Center are 358704.

What is the lateral surface area of this rectangular prism?

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The lateral surface area of this rectangular prism = Perimeter x height

The Great Pyramid of Giza, has a square base with a length of 756 feet, and the distance from the middle of any base side to the top is 612 feet.

The first tower was a rectangular prism with a square base whose sides

were 208 feet long. The tower was 1,368 feet tall.

Total surface area = base area + (1/2 × perimeter × slant height)

Perimeter of base = 4 × 756 = 3024 feet

Slant height = 612 feet

Base area = 756² = 571536 feet²

The total surface area

[tex]= 571536 + (1/2 \times 3024 \times 612)\\ 1496880 feet^2[/tex]

The surface area of this rectangular prism = Perimeter x height

Perimeter of base = 4 × 208 = 832 feet

Area = [tex]832 \times 1368\\\\1138176[/tex]

The difference, in square feet, between the visible surface area of

the Great Pyramid and the first tower of the World Trade Center are 358704.

Learn more about the area;

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pls help do today:(!!

Answers

[tex] \qquad\qquad\huge\underline{\boxed{\sf Answer}} [/tex]

The correct way to write the name of a ray is :

[tex] \large \tt Problem\:\: 1 [/tex]

[tex] \sf \overrightarrow{DC}[/tex]

[tex] \large \tt Problem \:\:2 [/tex]

[tex] \sf \overrightarrow{IG}[/tex]

[tex] \large \tt Problem \:\:3 [/tex]

The Correct choice is C

Ray has one end point and continues forever on the other side.

how many mL of normal saline should be added to 50mL of hydrogen peroxide to create a solution that is 5/8 strength?

Answers

1.5
I think… hope I’m right lol

Write the expression “3 times the quantity n plus 6" as an algebraic expression.​

Answers

Answer:

3n+6

Step-by-step explanation:

"3 times the quantity n" = 3 * n = 3n

3n+6

Evaluate the expression 5p for p=2

Answers

Answer:

10

Step-by-step explanation:

when p=5

substituting p=5 into 5p.

5p = 5×2 =10

Which expression is equivalent to y^4-400?

Answers

Answer: (2)

Step-by-step explanation:

6log_(5)x^(3) in a form that does not use exponents

Answers

Step-by-step explanation:

did you meant 6log_10? *text because it need to be 20 characters*

Answer:

18log_5x

Step-by-step explanation:

log(a^b) = b·log(a)

6log_(5)x^(3) =

6(3log_5x)

18log_5x

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Use the quadratic formula to solve for x.
3x2 + 2x - 6 = 0

Answers

Answer:

x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))

Step-by-step explanation:

Solve for x over the real numbers:

3 x^2 + 2 x - 6 = 0

Using the quadratic formula, solve for x.

x = (-2 ± sqrt(2^2 - 4×3 (-6)))/(2×3) = (-2 ± sqrt(4 + 72))/6 = (-2 ± sqrt(76))/6:

x = (-2 + sqrt(76))/6 or x = (-2 - sqrt(76))/6

Simplify radicals.

sqrt(76) = sqrt(4×19) = sqrt(2^2×19) = 2sqrt(19):

x = (2 sqrt(19) - 2)/6 or x = (-2 sqrt(19) - 2)/6

Factor the greatest common divisor (gcd) of -2, 2 sqrt(19) and 6 from -2 + 2 sqrt(19).

Factor 2 from -2 + 2 sqrt(19) giving 2 (sqrt(19) - 1):

x = 1/6(2 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6

In (2 (sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.

(2 (sqrt(19) - 1))/6 = (2 (sqrt(19) - 1))/(2×3) = (sqrt(19) - 1)/3:

x = (1/3 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6

Factor the greatest common divisor (gcd) of -2, -2 sqrt(19) and 6 from -2 - 2 sqrt(19).

Factor 2 from -2 - 2 sqrt(19) giving 2 (-sqrt(19) - 1):

x = 1/3 (sqrt(19) - 1) or x = 1/6(2 (-1 - sqrt(19)))

In (2 (-sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.

(2 (-sqrt(19) - 1))/6 = (2 (-sqrt(19) - 1))/(2×3) = (-sqrt(19) - 1)/3:

Answer:  x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))

please help i will give brainliest

Answers

Answer:

[D] 1/14

Step-by-step explanation:

Given that:

What is the probability of picking an orange marble and flipping tails?

Solution:

First let see how many orange marbles are there:

As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.

Now let see how many side a coin have:

As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.

Now multiply both together:

(1/7)× (1/2) = (1×1)/(7×2) = 1/14

This represents the probability of getting an orange marble and flipping tails.

In additionally 1/14 can't be simplify anymore.

Kavinsky

Answer:

[D] 1/14

Step-by-step explanation:

Knowing that there are 5 purple marbles, 1 brown marble, 1 orange marble. Since, on the given question all we need to know is the total marbles and the orange marbles.

Which the probability is 1/7

Now for the coin.

Knowing that there are two sides on a coin

Heads and tails (1/2)

Which is only 1/2 also known as 50% probability.

Now multiply straight across:

1/2 × 1/7

⇒ 1 × 1 = 1

⇒ 2 × 7 = 14

Thus, the answer is 1/14

can't be farther simplify.

[RevyBreeze]

Easy math 2 questions

Answers

I only know question 1: 8 inches.

Also, don't delete this.

It's helpful to certain people with the same problem.

Answer:

For problem 11, Q is 16 degrees

For problem 12 I think it is 8 inches

Step-by-step explanation:

3. Suppose a retail business sale its commodities at a margin of 25% on all items purchased and sold. Moreover the company uses 5% commission as selling expense and Birr 12,000 as a Fixed Cost, then Find the Breakeven revenue for the retail business after developing the equation ​

Answers

The Breakeven revenue for the retail business is Birr 12,500

What is breakeven?

Breakeven is the point at which the revenue is equals to the cost, hence the profit is zero.

Revenue = Cost

Let x represent the number of items sold, hence:

Revenue = (100% + 25%) of x = 1.25x

Cost = 5% of x + 12000 = 0.05x + 12000

At breakeven:

1.25x = 0.05x + 12000

x = 10000

Hence:

Revenue = 1.25(10000) = Birr 12,500

The Breakeven revenue for the retail business is Birr 12,500

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A movie is 9.75 seconds long.

Describe a situation related to this movie that could be a represented by the expression 9.75 / 2.5

Answers

Answer:

Step-by-step explanation: Maybe you could try:

A movie is 9.75 seconds long and each 2.5 seconds there is an ad so how many ads are there during the movie?

a bag og of grass seed weigh 5.8 pounds. how many
pounds would 2.5 weighs?

Answers

Answer:

the answer is 8.3 it weigh

If the data for the heights of players on a basketball team is skewed right, which statistical measure represents the spread of the data best?

A. Interquartile Range
B. Mean
C. Median
D. Range

Answers

Answer:

Median

Step-by-step explanation:

I know that you can't do Range, since it's skewed right.

The mean can't be it since it's also not representative when it's skewed right.

I'd say Median, or IQR at first glance but if you look at a graph, the IQR might follow with the skewed and move over a bit.

That leaves Median.

The correct statistical measure which represents the spread of the data best is, Median.

Given that;

The data for the heights of players on a basketball team is skewed right.

Since, We know that;

For the data for the heights of players on a basketball team is skewed right,

We can use Median for the spread of the data best.

Hence, The correct statistical measure which represents the spread of the data best is, Median.

Learn more about the median visit:

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Sientific notation (please help!)

Answers

√5

You know that √4 = 2

so √5 > 2

2.5 * 2.5 = 6.25,

√6.25 = 2.5

so √5 in between 2 & 2.5

2 < n < 2.5

π/3

π/3 ≈ 3.14/3

3/3 = 1

4.5/3 = 1.5

π is in between 3 & 4.5

1 < n < 1.5

√3

√2.25 = 1.5

√4 = 2

√3 is in between

1.5 < n < 2

Hope this helped!

3 – 9x = –6 – 8x
What is X

Answers

the answer for this question is x = 9

x=9 ig

but how did I get -3?

9.9 ft 7.2 ft The figure above shows a movie screen with dimensions shown in feet. What is the length of the diagonal of the screen, in feet? Give the exact solution or round your answer to the nearest tenth of a foot.​

Answers

Answer:

12.2

Step-by-step explanation:

use the Pythagorean theorem to determine the diagonal

9.9^2 + 7.2^2 = d^2

d = 12.2

If x = 2 and y = 3, then 4x​

Answers

Answer: 8

Step-by-step explanation: Substituting x for 2 since we know the value, 4(2) is 8.

Answer: 8

Step-by-step explanation:4*2=8

Question 1 – A two-mass (pulley) system begins in the initial configuration shown in the figure. Once this system is allowed to
move, the cart will move to the right and the suspended mass will fall with the same (magnitude of) acceleration. Determine this
acceleration, A, of this system, and the force in the cable, F, accurate to 3 sig. dig.
Assume the pulley and cable has no mass.

Answers

Answer:

the suspended mass will fall with the same (magnitude of) acceleration. Determine this

accelerat

Step-by-step explanation:

please help me Find m

Answers

Answer: 70 degrees

Step-by-step explanation:

An individual is selling tickets for a new movie that just came out. The first night the individual sold 45 Senior tickets and 92 Adult tickets. The second night, the individual sold 26 Senior tickets and 45 Adult tickets. Which night did the individual sell a higher ratio of Senior tickets to Adult tickets?

Answers

Step-by-step explanation:

the ratio senior to adult tickets on the first night :

45/92

the ratio on the second night :

26/45

which ratio is higher ? that means we have to determine which fraction is bigger.

the simplest and fastest way to compare them is to bring them to the same denominator (bottom part).

and the simplest way to do that is simply by multiplying the numerator and denominator of each fraction by the denominator of the other fraction :

45/92 × 45/45 = 2025 / 4140

26/45 × 92/92 = 2392 / 4140 (this is therefore bigger)

so, the ratio on the second night is higher.

Find the area of a square with a slide length of 7/12

Answers

[tex]\text{Area of square} = \text{Side}^2 = \left(\dfrac{7}{12}\right)^2 = \dfrac{49}{144}=0.3402\overline{7}~ \text{Units}^2[/tex]

Find the distance between the two points in simplest radical form.
(-8,3) and (-2,5)

Answers

Explaination :

Here we would be using distance formula to calculate the distance between those two points.

Points are,

(-8,3) (-2,5)

Distance Formula :

[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]

We have :

x1 = -8 x2 = -2 y1 = 3 y2 = -5

Substituting the values :

Refer the attachment.Additional Information :

Centroid of a triangle :-

[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]

Midpoint of two points:-

[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]

8. An angle that contains 126° 32' is a/an Angle
angle.
A. straight
B. obtuse
C. right
D. acute

Answers

Answer:

B  Angle obtuse Since 126o 32 ' is bigger  90o but  smaller than 180o.

Step-by-step explanation:

Acute: An angle that measures < 90o.

Right: An angle that measures 90o.

Obtuse : An angle that is > 90o but < 180o.

Straight: An angle that measures 180o.


A rectangular pool is 25 meters
long and 10 meters wide. What
is the perimeter of the pool?

Answers

P=2l+2W

P=2(25)+2(10)

P=50+20

P=70
A rectangular pool has 4 sides

Each side is 25 long and 10 meters wide

25 + 25 = 50
10 + 10 = 20

The perimeter of the pool is 70

Please help me solve this question, I will mark brainly.

Andrew bought a computer costing #150000. How much will the same computer cost in 3 years time if the rate of inflation is 12% per annum.​

Answers

Answer:

I have no Idea btw have a great day

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