MATHEMATICS HIGH SCHOOL

1. Given f(x) = 3x – 4 and g(x)=–2x+7 evaluate:
(fog)(5)

Answers

Answer 1

Answer:

Answer:

(f o g)(5) = -13

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Composition of functions

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 4

g(x) = -2x + 7

(f o g)(5) is f(g(5))

Step 2: Find composite function

Substitute: (f o g)(x) = 3(-2x + 7) - 4
Distribute: (f o g)(x) = -6x + 21 - 4
Combine like terms: (f o g)(x) = -6x + 17

Step 3: Solve

Substitute: (f o g)(5) = -6(5) + 17
Multiply: (f o g)(5) = -30 + 17
Add: (f o g)(5) = -13

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A certain bank offers a car loan with a fixed annual interest rate. Justine applied for the loan and used the entire amount to buy a car worth $43,000. He had to pay the bank for five years for a total amount of $51,600. How much would be the yearly interest if Justine borrowed $50,000 instead? *0 points

Answers

Answer: $10000

Step-by-step explanation:

From the question,

Principal = $43000

Time = 5 years

Rate = Unknown

Simple Interest = $51,600 - $43000 = $8600

We need to calculate the rate of interest which will be:

Interest = PRT/100

8600 = (43000 × 5 × Rate) / 100

Cross multiply

8600 × 100 = 215000 × Rate

Rate = 860000 / 215000

Rate = 4%

Assuming Justine borrowed $50,000 instead, the yearly Interest will be:

= (50000 × 5 × 4%)

= 50000 × 5 × 0.04

= $10000

The element in group 15 and period 4

Answers

Final answer:

The element in group 15 and period 4 of the periodic table is Arsenic (As), which is classified as a metalloid due to its mixed properties of metals and non-metals.

Explanation:

The element that is found in group 15 and period 4 on the periodic table is Arsenic (As). Group refers to the vertical column and period refers to the horizontal row on the periodic table.

Arsenic belongs to the 'p-block' group of the periodic table and it is classified as a metalloid. This means it has properties of both metals and non-metals. For example, arsenic is brittle (like a non-metal) but can also conduct some electricity (like a metal).

Learn more about Arsenic here:

brainly.com/question/36984490

#SPJ11

Answer:

Arsenic

Step-by-step explanation:

Periods are vertical, groups are horizontal

The mean of a set of data can be determined from a box-and-whisker plot.True
False

Answers

Your answer is True

It is true that the mean of a set of data can be determined from a box-and-whisker plot.

Hope I Helped You!!! :-)

Have A Good Day!!!

The mean of a set of data that can be determined from a box and whisker plot is true.

HELP PLEASE, I don’t understand:(!

Answers

Does that say find M/_T. ( /_ is my way of making the angle symbol

Answer:m<t =16

Step-by-step explanation:

Evan and Jose are writing an equation of the line through (4,5) 4 5 and (8,7) 8 7 . Whose solution is correct?

Answers

My solution is Y= x/2 + 3. I don't know Evan's or Jose's solution.

Week 151. Sue wants to solve the following equation:
+5 = 12
What step should she take first?
A Multiply both sides by 6.
B. Subtract 12 by both sides.
C. Subtract 5 by both sides,
D. Add 5 to both sides.
MS7 12-1