MATHEMATICS HIGH SCHOOL

A data set consists of the following data points:(2, 12), (3, 7), (5, 4)

The slope of the best-fit line is -2.5. Find the y-intercept of this line.

A. 14
B. 13
C. 15
D. 16

Answers

Answer 1
Answer: Since the slope of the line is already given, by plotting the three points and drawing a best fit line using the given slope and extending the line to hit the x-axis, the y-intercept can be determined. Line-fitting tools can also be used; common scientific calculators have that feature.
So, the answer is D. 16

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How do you write 21 in scientific notation?

Solve the polynomial equation x3 + 7x2 − 16x −112 = 0 and select the correct answer below.

Answers

x^3 + 7*x^2 + -16*x-112
=(x + 4)*(x + 7)*(x - 4)

Write an expression that represents the height of a tree that begins at 2 feet and increases by 4 feet per year. Let y represent the number of years. PLEASE HELP ME

Answers

Answer:
2+4y

Explanation:
The height of the tree increases by 4 feet per year, so we know to multiply 4 by the number of years to find its height. The initial height of the tree is 2, so we add 2 to 4y.

Example: The height of the tree in 6 years
2+4y
2+4*6
=2+24
=26

I hope this helps!

Answer:

2+4y

Step-by-step explanation:

Roderigo has just finished paying back his $8,575 unsubsidized Stafford loan, which he took out to fund his four-year degree. The loan had a duration of ten years and an interest rate of 7.1%, compounded monthly. Roderigo will allow interest capitalization. If Roderigo made monthly payments to pay off his loan, how much interest did he pay in total? Round all dollar values to the nearest cent.

Answers

Answer:

Roderigo will pay $7353.80 in interest.

Step-by-step explanation:

Interest capitalization means the interest earned is added to the principle amount so first we will use compound interest formula.

Compound interest formula is :

p(1+(r)/(n) )^(nt)

p = 8575

r = 7.1% or 0.071

n = 12

t = 4

Putting the values in formula we get;

8575(1+(0.071)/(12) )^(48)

Solving this we get;

Amount = $11381.94

For the next part we have EMI formula as:

(p* r*(1+r)^(n) )/((1+r)^(n)-1 )

p = 11381.94

r = 7.1/12/100=0.005917

n = 12*10=120

(11381.94*0.005917*(1+0.0059147)^(120) )/((1+0.005917)^(120)-1 )

= (11381.94*0.005917*(1.005917)^(120) )/((1.005917)^(120)-1 )

EMI = $132.74

Now total payments made in 120 months (10 years) = 132.74*120=15928.80 dollars

Now, interest paid = 15928.80-8575=7353.80 dollars

Hence, Roderigo will pay $7353.80 in interest.
___________C. $7,353.80                                   

Calvin and Melvin are two of Santa's elves. The number of toys they build is given by 11c + 9m where c is the number of candy canes Calvin eats for breakfast and m is the number of candy canes Melvin eats for breakfast.How many toys do they build when Calvin eats 5 candy canes and Melvin eats 3 candy canes for breakfast? :)

Answers

just substitute  c=5  Calvin's candy canes  and m=3  Melvin's candy canes

11c + 8m = 11*5 + 8*3 = 55 + 24 = 79
so they built 79 toys i hope it helps

Write the polynomial in standard form. Give the degree of the polynomial. Classify the polynomial byits degree.

a. 7x-14x^4 +19x^3 +26x^5-18

Standard form:

degree:

name based on degree:

Answers

Answer:

Sure, I'd be happy to help!

The polynomial you provided is:

7x - 14x^4 + 19x^3 + 26x^5 - 18

To put this polynomial in standard form, we need to factor it. Here's the factored form of the polynomial:

7x(1 - 14x^3 + 19x^2 + 26x^4) - 18

Now, we can see that the degree of the polynomial is 4, so it is a quartic polynomial.

Based on the degree of the polynomial, we can classify it as a quartic polynomial.

Step-by-step explanation:

Geometric mean of 1.5 and 84

Answers

2 numbes
add them
1.5+84=85.5
2 numbers so divide that by 2
85.5/2=42.75
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