Consider the following quadratic equation.
(x + 3)2 = 43
When taking the square root of both sides of this equation, how many solutions will the equation
have? How do you know?


Answer choices ⬇️

Answer:

x -intercept is 4

y -intercept is -2

Step-by-step explanation:

SOLUTION:

(x -intercept)

-4x+8y= -16

-4x+8×0= -16

-4x+0= -16

-4x/-4 = -16/-4 (divide both sides by -4)

x=4

______________________

(y -intercept)

-4x+8y= -16

-4×0+8y= -16

0+8y= -16

8y/8 = -16/8 (divide both sides by 8)

y= -2

•| HOPE IT HELPS |•

Answer:

The answer is A. AN ESTIMATE OOF THE AVERAGE GRAMS OF SALT USED IN 2012.

Step-by-step explanation:

This picture explains everything:

An estimate of the average grams of salt used in 2012.

Given the values are:

Year  Annual Salt Intake

              (grams)

2012      3,554

2013       3,598

2014       3,603

2015       3,655

2016       3,718

2017        3,794

Here, we have to find the significance value of 3,548.

f(x) = 52.3x + 3,548

x - number of years

If x = 0,

f(0) = 52.3 (0) + 3,548

     = 3,548.

Thus, it is found that it was an estimate of the average grams of salt used in 2012.

So, Option A is the correct answer.

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The survey is an illustration of expected value

132 people in the survey were in the 21 - 30 year old group

From the complete question, 22% of people are in the 21 - 30 year old group

Given that 600 people were surveyed.

The number of people in the 21 - 30 year old group would be:

n = 22% * 600

This gives

n = 132

Hence, 132 people in the survey were in the 21 - 30 year old group

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Answer:

[tex]a = \frac{1}{2} bh \\ \\ h = a \div ( \frac{1}{2}b ) \\ \\ h = a \times \frac{2}{b} \\ \\ h = \frac{2a}{b} [/tex]

Answer:

39.5

Step-by-step explanation:

Open the bracket by multiplying the numbers in the bracket by 2

2x-20=59

collect like terms(-20 crossing over the equal sign will become +20

2x=59+20

2x=79

Divide both sides by 2

[tex]\frac{2x}{2} =\frac{79}{2}[/tex]

x=39.5

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Answer:

The answer is ' A '

Step-by-step explanation:

:D

The inverse of the matrix will be [tex]\left[\begin{array}{cc}\dfrac{9}{7}&\dfrac{2}{7}\\\dfrac{10}{7}&\dfrac{3}{7}\\\end{array}\right][/tex]. The correct option is A.

A matrix is a rectangular array or table of numbers, symbols, or expressions that are arranged in rows and columns to represent a mathematical object or a property of such an object in mathematics. For instance, consider a matrix with two rows and three columns.

Given that the matrix is [tex]\left[\begin{array}{cc}3&-2\\-10&9\\\end{array}\right][/tex]. The inverse of the matrix can be solved as below,

[tex]A^{-1} = \dfrac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right][/tex]

[tex]A^{-1} = \dfrac{1}{3\times9-20}\left[\begin{array}{cc}9&2\\10&3\\\end{array}\right][/tex]

[tex]A^{-1} = \dfrac{1}{7}\left[\begin{array}{cc}9&2\\10&3\\\end{array}\right][/tex]

[tex]A^{-1}=\left[\begin{array}{cc}\dfrac{9}{7}&\dfrac{2}{7}\\\dfrac{10}{7}&\dfrac{3}{7}\\\end{array}\right][/tex].

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The principal investment required to get a total amount of $240,000.00 from compound interest at a rate of 4.6% per year compounded 12 times per year over 20 years is $95,812.95.

Given Data

Interest Rate r= 4.6%

Final Amount A =  $240,000

Time T = 20 years

Answer:

P = $95,812.95

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 4.6/100

r = 0.046 per year,

Then, solve the equation for P

P = A / (1 + r/n)^nt

P = 240,000.00 / (1 + 0.046/12)^(12)(20)

P = 240,000.00 / (1 + 0.003833333)^(240)

P = $95,812.95

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Answer:

14

Step-by-step explanation:

20-x=6

20-14=6

hope this will help you

Answer:

-6x-16

Step-by-step explanation:
Combine like terms, (-4x-2x) + (-9-7)  = -6x - 16

Step-by-step explanation:

We'll be combining like-terms.

Remove the addition sign, as it has no effect to the expression:

[tex] - 4x - 9 - 2x - 7[/tex]

Combine Like-Terms:

[tex] - 6x - 16[/tex]

-6x - 16 is your simplified expression.

Answer:

w = 3

Step-by-step explanation:

-2 = w -5

Add 5 to both sides of the equation

-2+5=2-5+5

Simplify

w = 3

[RevyBreeze]

Answer:

84 is a solution.

Step-by-step explanation:

To find out if 84 is a solution or not, we plug in the value and simplify.

Therefore, 84 is a solution.

Answer:

t = [tex]\sqrt{63} \\[/tex] or 7.94

Step-by-step explanation:

Yes, you have to use the Pythagorean theorem

A^2+B^2=C^2

So, A=9, B=t, C=12

9^2+t^2=12^2

81+t^2=144

-81        -81

t^2 = 63

t = [tex]\sqrt{63} \\[/tex]

in decimal 7.94

Hope this helps :)

pls give brainliest

If you multiply all of them you would get 787 so your answer would be C.

It would be 787

Answer:

[tex]2,712 \: {yd}^{2} [/tex]

Step-by-step explanation:

Height of cylinder (h) = 24 yd

radius of cylinder (r) = 6 yd

Lateral surface area of the cylinder

[tex] = \pi {r}^{2} h \\ \\ = 3.14 {(6)}^{2}(24) \\ \\ = 2,712.96 \: {yd}^{2} \\ \\ \approx \: 2,712 \: {yd}^{2} [/tex]

Answer:

• This student received Met because the student stated that the 2 in Danny’s number is ten times greater than the 2 in Delilah’s number.  The student stated that the 4 in Delilah’s number is one tenth the value of the 4 in Danny’s number.  The student stated that the 7 in Delilah’s number is 100 times the 7 in Danny’s number.

This student received Progressing because the student correctly stated that Danny’s number was ten times bigger.  The student also stated that the 4 in Delilah’s number is ten times smaller.  The student stated the value of the digit 7 without referring to how the values compared.

Step-by-step explanation:

hope this helps :) (:

Answer:

36

Step-by-step explanation:

x = 9 and y = 3

3 times 3 equal 9 so if y is 12 then 12 x 3 = 36

Answer:

8

Step-by-step explanation:

The square root of 64 is 8

Answer:

8

Step-by-step explanation:

The square root of 64 is 8

8 * 8 = 64

Hope this helps!

Answer:

26.3

Step-by-step explanation:

Answer:

B, D, and F

They match the graph

One possible amount the could have paid for furniture is $340,500.

Since the Lopez family pay a price of $345,800 for their new home, and also pay an amount for the furniture in which the digit 5 is exactly 10 times less than it is in the amount they paid for the house.

Since they paid $345,800 for their home and the digit 5 in this amount is in the thousands place, that is 5000.

In the amount paid for the furniture, the digit 5 is exactly 10 times less than in the amount paid for their home.

So, the place of the digit 5 in the amount paid for the furniture is thus 5000 ÷ 10 = 500.

So, the digit 5 is in the hundreds place.

With that in mind, replacing the 8 in the hunderds place in $345,800, one possible amount the could have paid for furniture is $340,500.

So, one possible amount the could have paid for furniture is $340,500.

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Answer:

3.4h-2.7d-16

Step-by-step explanation:

Before we even start, we can already simplify some things

For example, in this equation it says +(-7.7d)

We can simplify this to 6h-7.7d-16+5d-2.6h

Now we have to get all of the common variables together

So the d’s and h’s have to be combined together in this equation

This makes a new equation of 3.4h-2.7d-16

That is our answer!

Answer:

Approximately Normal

Step-by-step explanation:

The sample size is large (n50≥30n), so the sampling distribution of the sample mean will be approximately normal even though the population is skewed.

1. Observe problem

Solve for the area and Circumference of a circle who's radius is 3 cm

Area for circle formula:

pi*r^2=

9pi

I simplicity is needed, 9 pi is around

28.2743338823cm^2

Circumference for circle formula: 2*pi*r

which is

6pi

if simplicity is again needed, its around

18.8495559215cm

Answer:

A=x²+6x+8

Step-by-step explanation:

Answer:  A=x²+6x+8

Step-by-step explanation: Since we are looking to find the area of the entire rectangle, we would use the formula.  is the length and is width. You would approach this problem like any other area of the rectangle problem, except you are dealing with polynomials instead.

9y-18 9y-18 9y-18

9y-18 9y-18 9y-18

John now has X - 3

and splits the remainder equally between himself and his brothers

Each of the brothers now has (X-3)/3 apples (we have to assume here that Jack and Jim didn't have any apples to begin with).

Jack and John both eat half of the apples they have been given

They now have (X-3)/3/2, or just (X-3)/6

Together the three brothers have 4 apples left

Now we say 4 = (X-3)/3 (Jim) + (X-3)/6 (Jack) + (X-3)/6 (John)

From here it's algebra. A nice trick we can do here is to add (X-3)/6 + (X-3)/6 together first, since they have the same denominator:

4 = (X-3)/3 + (X-3)/3

From there we can do the same trick, since now we have two terms that are both something/3:

4 = 2(X-3)/3

Multiply both sides by 3, divide both sides by 2:

6 = X - 3

Add 3 to both sides

9 = X

Answer:

8 or 9

Step-by-step explanation:

John eats 3 gives brothers and himself the remainder they both eat half and both halves are left making it 1 so add up to how much was eaten 3+1=4 and they have 4 left making it 8.  Or just say x-3-1=4 and x=8. It can also be 9 so hopefully, someone else answers because if we add the halves remaining to the altogether it becomes 9 instead. Hope it's right and makes sense.