Find the number of roots for each equation.
5. 5x4 + 12x3 – x2 + 3x + 5 = 0

Answer:

A.The large box contains twice as many ounces of strawberries as the small box.   TRUE

B.To get the maximum ounces for her money, Emma should buy 1 large and 1 small box of strawberries. TRUE

C.Emma spends a total of $11.00; therefore, she is purchasing 2 small boxes of strawberries.  FALSE

D.Emma purchases a small box and a medium box of strawberries. The total purchase is $11.75. FALSE

Step-by-step explanation:

Here, the amount Emma has to be spent = $12

According to the question:

Small box -- 8 ounces --$4.50

Medium box -- 12 ounces -- for $6.50

Large box -- 1 pound -- $7.25

Now, the given statements are:

A.The large box contains twice as many ounces of strawberries as the small box.

The amount of strawberry in large box  =  1 pound

Amount of strawberry in small box  = 8 ounce

Now, double of 8 ounce = 16 ounce = 1 pounds

So, the given statement is TRUE.

B.To get the maximum ounces for her money, Emma should buy 1 large and 1 small box of strawberries.

Total ounces in 1 large and 1 small box = 16 ounce + 8 = 22 ounces

The price total = $4.40 + $7.25 = $11.65

So, the given statement is TRUE.

C.Emma spends a total of $11.00; therefore, she is purchasing 2 small boxes of strawberries.

cost of 1 small box = $4.50

Cost of 2 small box =  2 x $4.50 = $9

The given statement is FALSE

D.Emma purchases a small box and a medium box of strawberries. The total purchase is $11.75.

cost of 1 small box = $4.50

Cost of 1 medium box =  $6.50

So, the total cost is  $4.50 + $6.50  = $11.00

So, the given statement is FALSE.

Answer:I don’t know

I thought you won’t grieve me he answer straight up

Step-by-step explanation:

Answer:

The monthly fee for cable and internet is 200.

Step-by-step explanation:

Given:

Amount spend on one year for cable and internet service is 2440.90.

Now, to get the monthly fee for same amount spend on a year, by dividing the amount spend on a year with 12. As in one year there are 12 months.

So, [tex]2440.90\div 12[/tex]

    =[tex]203.41[/tex]

By estimating the amount we get 200. As estimating means to round off the number to the nearest of whole number.

Therefore, the monthly fee for cable and internet is 200.

Answer:

Step-by-step explanation:

this  is  an solution

What you want to do is plot each point on the graph according to both the x and y coordinate. Then, when you've drawn all four points in their appropriate place, draw a relatively straight line through all of them. You might need to use a ruler for that part.

The table shows the month and the the total number of people

The graph for the given table is attached below.

Given :

The table shows the number of people who attended her first, second, third, and fourth month of her career.

From the given table the month represents x  and number of people represents y

Lets make 4 coordinates  from the given table

Plot all the 4 points on the graph

(1, 124), (2,201)  (3,390)

(4,700)

For (1,124) , we take x=1  and y = 124 on graph

Look at the point where x=1  and y=125 intersects. That point is (1,124)

All the data are shown in the graph attached below

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Answer:

gl hf

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 18

Answer: The LCM of 6 and 9 is 18.

Step-by-step explanation: Using your basic multiplication facts, you know that 6 and 9 are both multiples of 18. Check to make sure 18 is the LCM.

Answer:

x 4 −4 5 −5

y 2 2 3 3

Step-by-step explanation:

This is the obvious answer, since there are no repetitive x-coordinates.

I am joyous to assist you anytime.

The table which represents the function is:

x    4    −4       5      −5

y    2     2        3         3

A function is a mathematical relationship where each input (x-value) corresponds to exactly one output (y-value).

To determine which table represents a function, we need to check if there are any repeated x-values with different y-values.

x    4    −4       5      −5

y    2     2        3         3

This table  represent a function.

Each x-value corresponds to a unique y-value, and there are no repeated x-values with different y-values.

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Answer:

US$ 1,084.80 were raised from the raffle tickets and US$ 1,035 are the profits after paying the prizes.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of raffle tickets sold = 1,356

Cost of each raffle ticket = US$ 4/5

Number of prizes = 6

Cost of each prize = US$ 8 3/10

2. How much money was raised from the raffle tickets?

For easier calculation, let's convert the fraction numbers to decimal numbers:

Cost of each raffle ticket = US$ 4/5 = US$ 0.80

Cost of each prize = US$ 8 3/10 = US$ 8 + 0.30 = US$ 8.30

Now, we use this formula to calculate how much money was raised and the profits:

Profits = (Number of tickets sold * Cost of each ticket) - (Number of prizes * Cost of each prize)

Replacing with the real values, we have:

Profits = 1,356 * 0.80 - 6 * 8.30

Profits = 1,084.80 - 49.80

Profits = 1,035

US$ 1,084.80 were raised from the raffle tickets and US$ 1,035 are the profits after paying the prizes.

Final answer:

The total amount of money raised from the sale of 1,356 raffle tickets, priced at 4/5 dollars each, is $1,084.8.

Explanation:

To determine how much money was raised from the raffle tickets, we first need to calculate the total cost of each ticket and then multiply it by the total number of tickets sold. The question states that each raffle ticket is sold for 4/5 dollars. Since a total of 1,356 raffle tickets were sold, the total amount raised can be calculated as follows:

Total amount raised = Price per ticket × Total number of tickets

= (4/5) × 1,356

= 1,084.8 dollars

Therefore, the total amount of money raised from the raffle tickets is $1,084.8.

Answer:

-4

Step-by-step explanation:

You can tell because every time the slope decreases by 5.

Answer:

-4

Step-by-step explanation:

Take the first two sets of points (-4,-2) and (-2,-10)

Then use the formula  Y2 - Y1 / X2 - X1  to find the slope

-10 + 2 / -2 + 4 = -8/2 which can be reduced to -4

Step-by-step explanation:

Look at the picture.

[tex]-5\leq x\leq4\to x\in[-5,\ 4][/tex]

[tex]-4\leq y\leq9\to y\in[4,\ 9][/tex]

Answer:

64 crates

Step-by-step explanation:

Smaller Cube Side Length = 2 1/2 feet, or, 2.5 feet

Larger Container (Cube) Side Length = 10 feet

We find volume of larger container and find volume of small crates. We divide the large volume by volume of each crate. This will give us number of crates we can fit.

Volume of Cube = x^3

Where x is the side length of the cube

Now,

Small Crate Volume = (2.5)^3 = 15.625 cubic feet

Large Container Volume = 10^3 = 1000 cubic feet

Number of crates that would fit = 1000/15.625 = 64

So, 64 crates will fit in the largest shipping container

64 crates will fit into the largest shipping container.

1. Calculate the volume of each crate:

  Volume [tex]\( V_{\text{crate}} \)[/tex] of a cube with side length s:

 [tex]\[ V_{\text{crate}} = s^3 = (2.5)^3 \] \[ V_{\text{crate}} = 2.5 \times 2.5 \times 2.5 \] \[ V_{\text{crate}} = 15.625 \text{ cubic feet} \][/tex]

2. Calculate the volume of the larger container:

  Volume [tex]\( V_{\text{container}} \)[/tex] of the larger cube-shaped container:

 [tex]\[ V_{\text{container}} = (10)^3 = 1000 \text{ cubic feet} \][/tex]

3. Determine the maximum number of crates that can fit:

  To find out how many crates can fit into the container, divide the volume of the container by the volume of one crate:

 [tex]\[ \text{Number of crates} = \frac{V_{\text{container}}}{V_{\text{crate}}} \] \[ \text{Number of crates} = \frac{1000}{15.625} \] \[ \text{Number of crates} \approx 64 \][/tex]

Answer:

The quantity of Type A coffee were used is 32 pounds .

Step-by-step explanation:

Given as :

The cost of type A coffee = $ 5.50 per pound

The cost of type b coffee = $ 4.25 per pound

The total cost of coffee = $ 448.00

The quantity of coffee of type B is twice than type A

Let The quantity of type A coffee = x pound

So, The quantity of type B coffee = 2 × x   pound

Now, According to question

x × $ 5.50 + 2 x × $ 4.25 = $ 448

Or,  x × $ 5.50 + x × $ 8.5 = $ 448

Or, 14 x = 448

∴ x = [tex]\frac{448}{14}[/tex]

I.e x = 32

∴ The quantity of type A coffee = 32 pound

And, The quantity of type B coffee = 2 × 32 = 64   pound

Hence The quantity of Type A coffee were used is 32 pounds . Answer

Final answer:

By setting up an equation based on the costs per pound and the relationship between quantities of coffee types A and B, we find that Kaitlin used 32 pounds of type A coffee for her blend.

Explanation:

We need to determine how many pounds of type A coffee were used in the blend, given that twice as many pounds of type B were used and that the total cost was $448.00. Let x be the pounds of type A coffee. Then, 2x will represent the pounds of type B coffee since twice as much type B is used compared to type A.

The cost equation can be represented as:

5.50x + 4.25(2x) = 448

Solving for x:

5.50x + 8.50x = 448

14x = 448

x = 448 / 14

x = 32

Therefore, Kaitlin used 32 pounds of type A coffee for her blend.

Answer:

6

Step-by-step explanation:

Split the numerator/ denominator into like factors, that is

= [tex]\frac{72}{12}[/tex] × [tex]\frac{x^2}{x^2}[/tex] ← cancel to give 1

= 6 × 1

= 6

Answer:

B

Step-by-step explanation

Answer:

Option B. a = −5, b = −9, c = 12

Step-by-step explanation:

The general form of the quadratic equation is as following

ax² + bx + c = 0

Where a, b and c are constants.

And the given equation is −5x2 − 9x + 12 = 0

Comparing the given equation to the general form

  ax² + bx + c = 0

−5x2 − 9x + 12 = 0

So, a = -5  , b = -9  and   c = 12

Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation.

So, the answer is option B: a = −5, b = −9, c = 12

Answer:

5850 miles

Step-by-step explanation:

150 X 39 = 5850

We multiple because it says Joanna ran 39 more TIMES than Jack.

Joanna ran 5850 miles.

Answer:

B. 1/2n - 3

Step-by-step explanation:

One way to get half a number is to multiply it by 1/2.

The phrase "a number less than an other number" often indicates subtraction.

[tex]\frac{1}{2}n-3[/tex]

Answer:1/2n-3

Step-by-step explanation:

because three less than half of a number means half minus three

Answer:

ab² - b = b(ab -1)

Step-by-step explanation:

The variable b is common to both terms here.  Thus,

ab² - b = b(ab -1)

1/3 off means it is selling for 2/3 the original price.

Multiply the price by 2/3:

450 x 2/3 = (450 x 2) /3 = 900/3 = 300

The sale price is $300

Answer:

$300

Step-by-step explanation:

The TV's regular price is 450 dollars, and we are looking for the sale price after a third of it gets marked off.

We first need to find 1/3 of 450.

[tex]\frac{1}{3}* 450 = \frac{450}{3}=150[/tex]

One third of the original price is $150.

Now, we need to subtract 150 from 450.

[tex]450-150=300[/tex]

So, the sales price of the TV would be $300.

Hope this helps!

Initially I had 48 tokens initially

Given that , For every 8 tokens you have your friend has 3

Then, let us assume that, we have 8n tokens. Then our friend will have 3n tokens

After you give half of your tokens to your friend Your friend now has 18 more tokens than you.  

We have to find how many tokens did you start with

Now, after giving away half of tokens we will have 8n/2 = 4n tokens

And our friend will have 4n + 3n = 7n tokens.

And according to given information

Friends tokens – my tokens = 18 tokens

7n – 4n = 18  

3n = 18  

n = 6

Then, I will have initially 8n = 8 x 6 = 48 tokens.

Hence, I had 48 tokens initially

Answer:

12 hours

Step-by-step explanation:

Let the cruise ship travel x hours before the container ship caught up and the container ship starts y hour after the cruise ship starts.

So, the distance traveled by the cruise ship in x hours = distance traveled by the container ship in (x - y) hours.

So, x - y = 10 ........ (1) (Given)

And 5x = 6(x - y)

⇒ x = 6y .......... (2)

Now, solving equations (1) and (2, we get 5y = 10, ⇒ y = 2 hours.

And x = 6y = 12 hours.

So, the cruise ship travels for 12 hours before the container ship caught up. (Answer)

Answer:

4.775

Step-by-step explanation:

Answer:

4.775

Step-by-step explanation:

Add

0.975

3.800 =

4.775

Answer:

Step-by-step explanation:

1) 15%=15/100=3/20

2) 36%=36/100=9/25

3) 44%=44/100=11/25

4) 45%=45/100=9/20

5) 8%=8/100=2/25

6) 60%=60/100=6/10=3/5

Answer:

the functions have the same domains

Step-by-step explanation:

because since the functions f(x) and g(x) have the same (x)

The only value that is in the domains of both functions is 0.

and the range of g(x) is all values less than or equal to 0 are correct.

A relation is a function if it has only One y-value for each x-value.

The original function is f(x)=√x

As this is condition for √x function, x≥ 0

Domain= [0, infinity)

Range= [0, infinity)

After the reflection across x-axis and y-axis, we get a function,

g(x)=-√-x

-x≥ 0 means x≤ 0,

So,

Domain= (-infinity, 0]

Range= (-infinity, 0]

From this you can see that the only value that is in the domains of both functions is 0.

The range of g(x) is all values less than or equal to 0.

Hence,  the only value that is in the domains of both functions is 0.

and the range of g(x) is all values less than or equal to 0 are correct.

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The graph of f(x) =sqrt of x is reflected across the x-axis and then across the y-axis to create the graph of function g(x). Which statements about the functions f(x) and g(x) are true? Check all that apply. The functions have the same range. The functions have the same domains. The only value that is in the domains of both functions is 0. There are no values that are in the ranges of both functions. The domain of g(x) is all values greater than or equal to 0. The range of g(x) is all values less than or equal to 0.

Answer:

Explanation:

The figure attached represents the situation.

The triangle on the left and the triangle on the right are similar triangles because they are right triangles and the marked angles are congruent.

The distance between the mirror and the basketball goal is represented by the unknown x.

By similarity:

Solving:

Thus, the mirror is 20/3 of feet, which is about 6.7 feet, from the basketball goal.

x = 1240-y can be used to model the situation where x is the amount earned in second week.

Step-by-step explanation:

Given,

Total amount earned = D =  $1240

Amount earned in first week = y = $480

Let,

x be the amount earned in second week.

Therefore,

Total amount earned = Amount earned in 1st week + 2nd week amount

D = x + y

1240 = x + y

Solving for x;

[tex]x= 1240- y [/tex]

x = 1240-y can be used to model the situation where x is the amount earned in second week.

Keywords: linear equation, subtraction

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