Solve for all values of x: (x + 1)² + 9 = 0.

Answer:

[tex](x + 3)(x - 5)(x-3)<0[/tex]

Step-by-step explanation:

Given

[tex](x + 3)(x^2 - 8x + 15)<0[/tex]

Required

Complete the factoring

[tex](x + 3)(x^2 - 8x + 15)<0[/tex]

Expand

[tex](x + 3)(x^2 - 3x - 5x+ 15)<0[/tex]

Factorize:

[tex](x + 3)(x(x - 3)-5(x-3))<0[/tex]

Factor out x - 3

[tex](x + 3)(x - 5)(x-3)<0[/tex]

The expression has been completely factored

Answer:

add a zero at the end of the number. 5x10=50. 60x10=600. 700x10=7000 etc.

Step-by-step explanation:

Answer:

Move the decimal point one space to the right

Step-by-step explanation:

Ex:

12*10=120            12=12.0 move the decimal one space to the right=120

You can also just add 0 if there isn't a decimal point

13.5*10=135                        move the decimal one space to the right

hope this helps :)

Answer:

basically you are writting an equation for the solution of the circle if you didnt get what i said ask a teacher

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

(8)(7) = 14x

14x = 56

x = 4

Answer: 258

Step-by-step explanation: add the numbers all together

Answer:

102

Step-by-step explanation:

all quadrilaterals have a sum of interior angles= 360

Therefore, you subtract the angles you have so far from 360 so. 360-78-66-114=102

Answer:

30.25 pi

Step-by-step explanation:

A circumference is pi times diameter, so the radius would be 5.5 inches. The formula for the area is pi r squared so just plug in 5.5 as the r.

Answer:

Step-by-step explanation:

As here,

3 cm + 6 cm = 9cm. = 9cm

And as we know,

According to Triangle Inequality Property,

Measurement of any two sides of a triangle is always greater than the third side.

But here,

Sum of two sides is same as the third side,

So,

Option D is the required answer.

Answer:

Jimmy ran 12 miles last week.

Step-by-step explanation:

32-20=12

Answer:

5a + a + 4a = 10 a

Option A) 4a

Answer:

The equation of the circle is;

(x - [(-1))² + (y - [7])² = 8

Step-by-step explanation:

The given coordinates of the points P and Q are;

P = (-3, 5) and Q = (1, 9)

To find the equation of the circle that has segment PQ as a diameter

The equation of a circle is (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

Given that segment PQ is the diameter of the circle, we have;

The center of the circle, O = The midpoint of PQ

The coordinates of the midpoint of segment PQ, O = ((-3 + 1)/2, (5 + 9)/2) = (-1, 7)

∴ The coordinates of the center of the circle, O = The coordinates of the midpoint of segment PQ = (-1, 7)

Therefore;

h = -1, k = 7

From PQ = The diameter of the required circle, we also have;

The length of PQ = 2 × (The radius of the circle) = 2 × r

The length of segment PQ = √((1 - (-3))² + (9 - 5)²) = √32 = 4·√2

Therefore;

The length of PQ = 4·√2 = 2 × r

r = (4·√2)/2 = 2·√2

r = 2·√2

r² = (2·√2)² = 8

r² = 8

The equation of the circle is therefore;

(x - h)² + (y - k)² = r²

(x - (-1))² + (y - 7)² = 8.

A coconut does not, in fact, have hair despite what it's called.

Additionally, it does feed its young with milk, unlike mammals.

Also, a coconut is a plant. Plants are not mammals.

Answer:

thanks for the points lol

Step-by-step explanation:

Answer:

x= -10

Step-by-step explanation:

Answer:

n = 65; p = 0.8

Step-by-step explanation:

The sample size (n) and sample proportion () can a normal curve be

used to approximate the sampling distribution is n = 65, p = 0.8.

The correct option is D.

According to the Central Limit Theorem, the shape of sample distribution of sample proportions with a population proportion, 'p' is normal

If n·p ≥ 10 and n·(1 - p) ≥ 10.

n = 65, p = 0.8

∴ n·p = 65 x 0.8 = 52 > 10

n·(1 - p) = 65 × (1 - 0.8) = 13 > 10

For n = 90, p = 0.9, n·(1 - p) = 18 > 10, a normal distribution can be used to approximate the sampling distribution.

Learn more about Normal Distribution here:

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Answer:

6

Step-by-step explanation:

divide by 3 on both sides

Answer:

105.962

Step-by-step explanation:

Answer:

960 or 64

Step-by-step explanation:

4•6=24

8•5=40

24+40=64

or

24•40=960

Answer:

32.64

Step-by-step explanation:

136/20*96/20=32.64

Answer:

16 cm^2

Step-by-step explanation:

Formula = 1/2 * base * height

1/2 * 8 * 4 = 16

16 cm^2

Answer:

enlargement, greater than one

Step-by-step explanation:

it got bigger

Answer:

a) 6 gigabytes

b) $100

Step-by-step explanation:

Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

For the first smartphone

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.

Equation =

c = 52 + 8d

For the Second smartphone

A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.

Equation =>

c = 82 + 3d

How many gigabytes would have to be used for the plans to cost the same?

We would equate both cost to each other

52 + 8d = 82 + 3d

Collect like terms

8d - 3d = 82 - 52

5d = 30

d = 30/5

d = 6

Therefore,

a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.

b) The cost of both plans if 6 gigabytes is used =>

c = 52 + 8d

c = 52 + 8 × 6

c = $100

part a

The x-intercept

part b

2

The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.

And, The value of slope will be 2.

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

She spends them at a rate of two every minute until she runs out.

Now,

Since, She spends them at a rate of two every minute until she runs out.

And, The number of quarters Mia has is graphed over time.

We know that;

Usually we represent the independent variable (time) by x and dependent variable (quarters) by y.

Hence, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.

So, The slope = 2/1

                       = 2

Thus, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters. And, The value of slope will be 2.

Learn more about the equation of line visit:

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Answer:

The x-intercept is (-5,0)

Step-by-step explanation:

Answer:

(-5,0)

X-axis coordinate number first, then y-axis.

Answer:

RP=21

Step-by-step explanation:

I started with 111 divided by 37 which gave me 3 and to be safe I did 51 divided by 3 which did give me 17 so then I just did 63 divided by 3 and got 21.

Answer:

3.96 pints of blue paint was used by Lupe to paint her bedroom walls

Step-by-step explanation:

Given,

Totals pints of white and blue paint used = 6.6

Out of this 6.6 pints, 2/5 is white paint and 3/5 is the blue paint

Total amount of blue paint used to paint the bedroom walls

[tex]\frac{3}{5} *6.6\\= 3.96[/tex] pints

Answer:

162 pups are on the beach

Step-by-step explanation:

9/20 of 360

The key word "of" tells us to multiply

Variable x = number of pups

9/20 × x/360

Cross multiply

9 × 360 = 20 × x

3,240 = 20x

Divide both sides by 20

162 = x

Check our work:

9/20 = 162/360

Cross multiply

9 × 360 = 20 × 162

3,240 = 3,240

Correct

Answer:

1. 240 oz

2. 6000lb

3. 20 lb

4. 368 oz

5. 12000 lb

6. 9 lb

7. 30000 lb

8. 22

9. 288

Step-by-step explanation:

Answer:

1. 240

2. 6613.87

3. 20

4. 368

5. 13227.7

6. 9

7. 33069.3

8. 22

9. 288

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the area of the regular 18-gon with radius 10 mm