Match the number with the corresponding letters(graphs). Note the number should have multiple graphs. Please answer 9

A perfect square trinomial is written in the form

This system gives two equations

where x is the number pounds of $0.85/lb candy and y is the number of pounds of $1.22/lb candy.

The solution to the system is

Hence, 7.297 lb of $0.85 candy is required in order that if we mix them with 1.70 lb of $1.22 candy, we will get a 9 lb solution of 0.92 /lb candy.

ANSWER

The interest rate is 150%

EXPLANATION:

Given that;

The initial amount is $5000

The total amount $20, 000 after 2 years

Total period of the investment is 2 years

To find the interest rate, follow the steps below

1. Find the interest on the investment after two years

In the given data,

The initial amount (principal) is $5000

The total amount after 2 years is $20, 000

Recall that,

Total amount = Interest + principal

20, 000 = interest + 5000

subtract 5000 from both sides of the equation

20, 000 - 5,000 = interest + 5000 - 5000

15,000 = interest

Therefore, the interest on the investment after 2 years is $15, 000

Step 2; Find the interest rate using the simple interest formula

Where

I is the interest

P is the principal

R is the interest rate

T is the time of the investment

Therefore, the interest rate is 150%

Given the matrices:

we will find the value of AB + I

First, we will find the product of AB as follows:

simplifying the answer:

Now, we will add the unity matrix to the answer:

So, the answer will be option D

we are given the following inequality:

To solve for "k" we will divide both sides by -3, since we are dividing by a negative number we will change the direction of the inequality sign, we get:

Solving the operations we get:

Therefore, the solution is the numbers that are smaller than negative 2.

Let:

x = Unknown number

the sum of 6 times a number:

and 8 equals 7, so:

To know the cost per song we make a division between the total Cost and the number of songs, then we can take any pair of data

I will use 11 songs and $10.56

to check we can use another pair (18 songs and $17.28)

then the cost per song is $0.96

You have the following expression:

In order to solve for h, use the division property of equality. In this case divide by 3 both sides:

Hence, the solution for h = A/3

the given problem is 1.4*0.3

here the answer is 0.42

EXPLANATION.

The first thing to do is analyze the data that the exercise gives us, it tells us that a year the cost of error for money was 1230, but the income was 61,372, for this exercise we must find the percentage with a rule of three .

The exercise is as follows.

The total income 61,372 represents 100 percent, how much does 1230 represent?

Remember that

the sum of the interior angles in any polygon is equal to

S=180(n-2)

where

n is the number of sides of polygon

In this problem

we have

n=6 (hexagon)

so

substitute

S=180(6-2)

S=720 degrees

step 2

Adds the interior angles

720=120+(5x-6)+(4x+14)+(7x)+(8x-8)+(6x)

solve for x

combine like terms

720=30x+120

30x=720-120

30x=600

We have a segment with points S and T.

We know the coordinates of S=(2,-2) and the midpoint M=(-

Like terms are those terms whose variable and its corresponding exponent are the same. Here we have 3x and 8x. Both terms have the number:

Which means that they have the same variable and the same exponents. Then they are like terms and the answer is True.

The area of a circle is given as

A =

Answer:

15

Step-by-step Explanation:

LCM is the least common multiple, that is, is the least number that is a multiple of both numbers.

To find it, first, let's write the multiples of 3:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

Now, let's write the multiples of 15:

Multiples of 15: 15, 30, 45, ...

If you compare the multiples of 3 and 5, we can see that they have some common multiples, as 15 and 30.

From this common multiples, 15 is the smallest number. So, 15 is the LCM of 3 and 15.

Answer: 15.

We know that

• She bought 13 packs of red rings.

• She bought 16 packs of yellow rings.

• She bought 14 packs of green rings.

• Each pack has 12 rings.

This problem is about multiplication, notice that each pack includes 12 rings, that means we need to multiply each pack by 12, in order to find the total number of rings of each color.

There are 156 red rings.

There are 192 yellow rings.

There are 168 green rings.

Now, we sum all these numbers to find the total

We can find if (x-3) is a factor by dividing P(x) by (x-3).

A simpler way is replacing x with 3 and if the value of P(x) is 0, then (x-3) is a factor of P(x). This is because x=3 is a root of P(x) and therefore it can be factorized with the term (x-3).

Then, we calculate P(3):

As x=3 is not a root of P(x), then (x-3) is not a factor of P(x).

Answer: No.

As given by the question

There are given that the roots: 7 and 2/5.

Now,

Since the roots are integers, we can write the equation in the given form using a = 1.

Then,

b is the opposite of the sum of the roots

So,

And

c is the products of the roots

So,

Now,

The desired quadratic equation is:

Hence, the correct option is A.

Given:

Solve the inequality separately,

Also,

As the given inequality give x > -1 and x < -1 it shows that there is no solution for the given inequality.

The graph is given as,

The red region shows the inequality 4x -39 > -43 and blue region shows 8x +31 < 23.

Answer: Option D.

Solution:

Given the expression:

A function f(x) has disconituity at x=a if

exists and is finite.

The function is thus undefined at x=a or when

From the given function, we have

The function is undefined at

Hence, there is discontinuity at

Givens.

• The mean is 15 years.

• The standard deviation is 2.1 years.

• x = 18.

Using a graphic calculator, the probability P(X > 18) is 0.0766.

Therefore, the answer is 0.07

1) We can write the following ratio for this, considering the ratios and the quantities:

a)

Notice that on the left side, the ratio gas/oil, and on the right side is the quantity of gas and the unknown quantity of oil.

So, so far we have 13/50 gallons of oil that must be mixed with gasoline.

b) For now, we need to convert that from gallons to fluid ounces so we can write out the following product:

So 13/50 or 0.26 gallons of oil. b) 33.28 fl oz.

When you have a phrase as the difference of a and b, the algebraic expression is b being subtractd from a.

The difference of 10 and -16:

Simplify:

Given:-

Callie walked 14.5 km. And also given 8 km=5 miles.

At first we convert 14.5 km to miles. we get,

So 14.5 km is 9.0625 miles.

Callie's grandmother pledged Rs. 150 for every mile. so for 9.0625 miles it is,

So her grandmother owe Rs. 1359.375

step 1

Find out the slope

m=(4-6)/(-1-5)

m=-2/-6

m=1/3

step 2

Find out the equation in slope-intercept form

y=mx+b

we have

m=1/3

point(5,6)

substitute

6=(1/3)(5)+b

solve for b

6=(5/3)+b

b=6-5/3

b=13/3

therefore

We are shown points A, B, C, and D on a number line.

We are asked to find out which point shows the number with the greatest absolute value?

Recall that the absolute value of a number is always positive.

The negative values of points A and B will become positive.

As you can see from the number line, point A is closer to -40 and the point D is closer to 30

The absolute value of point A will be closer to |-40| = 40

Since 40 is greater than 30, point A shows the number with the greatest absolute value.

Therefore, the correct answer is Point A.

OPTION C

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following multiplication of polynomials:

When multiplying two polynomials we must bear in mind that all the terms of the first polynomial must be multiplied by all the terms of the second polynomial, like this:

The maximum of data is 25

The minimum of data is 6

Then, the range is:

range = maximum - minimum

range = 25 - 6

range = 19