Answers
Answer:
[tex]\displaystyle -1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Interval NotationFunction NotationAverage Rate of Change: [tex]\displaystyle \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Step 1: Define
h(x) = x² + 3x - 6
[-7, 3] → a = -7, b = 3
Step 2: Find Average
Substitute in variables [Average Rate of Change]: [tex]\displaystyle \frac{f(3) - f(-7)}{3 - -7}[/tex][Average Rate of Change] Substitute in function: [tex]\displaystyle \frac{3^2 + 3(3) - 6 - [(-7)^2 + 3(-7) - 6]}{3 - -7}[/tex][Average Rate of Change] Simplify: [tex]\displaystyle \frac{3^2 + 3(3) - 6 - [(-7)^2 + 3(-7) - 6]}{3 + 7}[/tex][Average Rate of Change] Evaluate exponents: [tex]\displaystyle \frac{9 + 3(3) - 6 - [49 + 3(-7) - 6]}{3 + 7}[/tex][Average Rate of Change] Multiply: [tex]\displaystyle \frac{9 + 9 - 6 - [49 - 21 - 6]}{3 + 7}[/tex][Average Rate of Change] [Brackets] Subtract: [tex]\displaystyle \frac{9 + 9 - 6 - [28 - 6]}{3 + 7}[/tex][Average Rate of Change] [Brackets] Subtract: [tex]\displaystyle \frac{9 + 9 - 6 - 22}{3 + 7}[/tex][Average Rate of Change] Add: [tex]\displaystyle \frac{18 - 6 - 22}{3 + 7}[/tex][Average Rate of Change] Subtract: [tex]\displaystyle \frac{12 - 22}{3 + 7}[/tex][Average Rate of Change] Subtract: [tex]\displaystyle \frac{-10}{3 + 7}[/tex][Average Rate of Change] Add: [tex]\displaystyle \frac{-10}{10}[/tex][Average Rate of Change] Divide: [tex]\displaystyle -1[/tex]Related Questions
Help me with this slope digital escape
Answers
The slope in the first, second, third, and fourth cases will be 2, -3, 5, and 1, respectively. Then the correct options are A, B, F, and H.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The slope in the first case will be given as,
m = (1 + 1) / (1 - 0)
m = 2
The slope in the second case will be given as,
m = (1 - 4) / (2 - 1)
m = - 3
The slope in the third case will be given as,
m = (28 - 18) / (4 - 2)
m = 5
The slope in the fourth case will be given as,
m = (-3 + 4) / (1 - 0)
m = 1
The slope in the first, second, third, and fourth cases will be 2, -3, 5, and 1, respectively. Then the correct options are A, B, F, and H.
More about the slope link is given below.
https://brainly.com/question/3605446
#SPJ2
Write
[tex] \frac{7}{50} [/tex]
as a percentage.
Answers
Answer:
14%
Step-by-step explanation:
Percentages are out of 100, and 7/50 = 14/100.
11 = x + 9 then what’s x=___ ??
Answers
Answer:
2
Step-by-step explanation:
subtract like this: 11-9=2
Answer:
x = 2
Step-by-step explanation:
11 = x + 9
11 - 9 = x + 9 - 9
2 = x
x = 2
Can someone plz help me
Answers
Answer:
S is also 13
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The incenter is the point where all of the angle bisectors meet in the triangle
Using that definition, since point S is the incenter, we know segments RS and SQ are congruent.
1. We can use the Pythagorean Theorem to solve for segment RS first.
a^2+b^2=c^2 or MR^2+RS^2=MS^2
12^2+b^2=13^2
144+b^2=169
b^2=169-144
b^2=25
b=5 or RS=5
Since segment RS is congruent to segment SQ, SQ=5
The amount people whopay for cable service varies quite a bit, but the mean
monthly fee is $142 and the standard deviation is $29. The distribution is not
Normal. Many people pay about $76 for basic cable and about $160 for premium
service, but some pay much more. A sample survey is designed to ask a simple
random sample of 1,500 cable service customers how much they pay. Let X be the
mean amount paid.
Part A: What are the mean and standard deviation of the sample distribution of X?
Show your work and justify your reasoning. (4 points)
Part B: What is the shape of the sampling distribution of X? Justify your answer. (2
points)
Part C: What is the probability that the average cable service paid by the sample of
cable service customers will exceed $143? Show your work. (4 points) (10 points)
Answers
Answer:
$142 ; 0.749 ; Normal ; 0.090938
Step-by-step explanation:
Mean and standard deviation :
The mean of the distribution x = $142, because the sample size is sufficiently large, the distribution will be approximately normal (central limit theorem).
Standard deviation of distribution : σ/ sqrt(n)
= 29 / sqrt(1500)
= 0.749
B.)
Shape of sampling distribution of X.
The shape of the sampling distribution will be approximately normal due to the large sample size used. This is according to the central limit theorem whereby distribution of sample converges to normal with increasing sample size. Mean ~ N(142, 0.749²)
C.)
P(X > 143)
Using the relation :
Z = (x - mean) / standard error
Z = 143 - 142) / 0.7489
Z = 1.335
P(Z > 1.335) :
Using the Z probability calculator :
P(Z > 1.335) = 0.090938
A snow blower requires a fuel mixture ratio of 40:1 (gas to oil). Which expression represents this ratio?
Answers
Answer:
A. 40/1
Step-by-step explanation:
A. 40/1
B. 1 X 40
C. 40 X 1
D. 1/40
Ratio of gas to oil = 40 : 1
40 : 1 = 40/1
40 : 1 can also be written as 40/1 or 40 to 1
help........................
Answers
Answer:
x = 1
Step-by-step explanation:
( 6^2 + 1 ) 6^x = ( 36 + 1 ) x " multiply by " 6^x = 222
so 37 x 6^x = 222
divide by 37
6^x = 6^1
so
x = 1
^ this symbol is for the power
Alvin has 75 dollars in his piggy bank. Every week he spends 5 dollars at the store. How Many weeks until he has 55 dollars in his piggy bank?
Answers
Answer:
4 weeks
Step-by-step explanation:
75-5*x=55
x=4 weeks
13. L'Shonda purchased a container of juice that contains 200 calories. The label says that 40% of the calories are from carbohydrates. How many calories are from carbohydrates?
Answers
Answer:
80
Step-by-step explanation:
So I here's my thought process on this:
200 divided by 2 is 100
100 - 40% is 60, leaving 40 behind.
So double that and it would be:
200 - 40% is 120
200 - 120 = 80
80% is the answer.
If a rocket has an acceleration of 10 m/s2 and a force of 5 N what is its mass? *
Answers
Answer:
1/2 kg
Step-by-step explanation:
Formula:
[tex]F =ma[/tex]
Force = mass x acceleration
F = 5 | a = 10 |m = ?
5 = 10m
m = 0.5 or 1/2
Plz help!
Find the values of f(25) and f(40)
Answers
Answer:
if there is no equation given with the problem, then all you do is read the y coordinate value corresponding to 25 mins and 40 mins.
here f(25) looks yo be 7 and f(40) looks yo be 20.
- 3 ( n + 5 ) = 12
What is N?
Answers
Ranbir bought a rectangular field of area 24000 square metres and width 120 m. He wants to fence it with two rounds of wire. Find the length of wire that will be required to fence the field.
Answers
Answer:
640 metres
Step-by-step explanation:
Area of a rectangular field = 24000 square metres
Width of a rectangular field = 120 metre
Also,
Area of a rectangular field = Length × Breadth
24000 = Length × 120
Length = [tex]\frac{24000}{120}=200[/tex] metre
Length of wire required to fence the field = Perimeter of the rectangular field
= 2 (length + width)
= 2 (200 + 120)
= 2 (320)
= 640 metres
Four positive whole numbers add up to 39 one of the numbers are a multiple of 7 the other three are equal workout the result when the four numbers are multiplied
Answers
Answer:
Number is 4536
Step-by-step explanation:
Assume;
Same number = a
Multiply of 7 = b
So,
a+a+a+b = 39
3a + b = 39
Use b = 7
3a + b = 39
3a + 7 = 39 (Not possible)
Use b = 14
3a + b = 39
3a + 14 = 39 (Not possible)
Use b = 21
3a + b = 39
3a + 21 = 39
a = 6
So,
Number is 6 x 6 x 6 x 21
Number is 4536
what is the gfc of 10 and 5
Answers
Step-by-step explanation:
i believe the awnser is 5 holp this helps
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ที่
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ยางใน
Which graph shows a system of equations with infinitely many solutions
Answers
Answer:
Step-by-step explanation:
[tex]\int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \neq \geq x^{2} \\ \leq[/tex]⇄⇅⇵⇔ω∈ФπΔ≅≡β·∛
Hayhay#5682
add me plz
4 x 6 = 24
Answers
I will later
Your answer is 24
May nilbin be with you
Given the function below, find f(-5): f(x)= x^2 + 3x - 21
Answers
Answer:
Step-by-step explanation:
f(-5) = (-5)^2 + 3(-5) - 21
= 25 - 15 - 21
= -11
Answer:
11
Step-by-step explanation:
) f(x) = 3x2 + 5 and y = 3x2 + 5 ... You read this problem like this: “given f of x equals 4x plus one, find f of 2. ... Given f(x)= 3x – 4, f(5) = 11.
Find the Area of shaded region, please give step by step explanation and answer fast pls
Answers
Answer:
22cm²
Step-by-step explanation:
radius of smaller circle= 7/2=3.5cm
area of smaller circle=π×3.5=11cm²
area of bigger circle=π×10.5(radius is 7 plus 3.5)=33cm²
area of shaded area=33-11=22cm²
Solve the simultaneous equations
7x – 3y = 24
2x + 3y = 3
x=?
y =?
Answers
Answer:
×=3 y=-1
Step-by-step explanation:
I hope this helps
which method you want cross multiplication method or elimination method of substitution method or general method
Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50.
Let x be the smaller number and y be the larger number.
Create a system and graph it to find the solution.
What are the two numbers?
x =
and y =
Answers
using elimination method ...
3y-5x=30
+ y+5x=50
——————
4y = 80
y= 20
so using one of the original equations..
20 + 5x = 50
5x = 30
x =6
x = 6
y = 20
Answer:
x=6 and y=20 just took a test
Step-by-step explanation:
2. Faith is a 95% free throw shooter. At practice, each player shoots 20 free throws. Let
X = the number of free throws Faith makes out of 20 shots.
Answers
Answer:
19
Step-by-step explanation:
So if you want to find out what x is then you would try to find 95% of 20 which is 19. She made 19 of her free throws.
hello friends
this is your questions :-
" [tex]\huge\underline\mathfrak\red{simplify}[/tex]
(a²-b²)²
please solve this question:-
note:- no spam only relevant Answer.
thanks you :)
Answers
Answer:
a^4 - 2a^2b^2 + b^4
Step-by-step explanation:
Here, we want to expand the given expression
Mathematically, we have this as follows;
(a^2-b^2)^2
= (a^2(a^2 - b^2) -b^2(a^2-b^2)
a^4-a^2b^2 - a^2b^2 + b^4
= a^4 - 2a^2b^2 + b^4
Which of the following equations is equivalent to 6.87p + 9.2 = -7.056?
a. 697p + 920 = -756
b. 697p + 92 = -7056
c.697p + 920 = -7056
d. 6970p + 9200 = -7056
Answers
Answer:
687p +920 = -705.6
Step-by-step explanation:
simpliyfy (-3/7)^3 * (-3/7)^4
Answers
Answer:
Step-by-step explanation:
(-3/7)³ × (-3/7)⁴ = (-3/7)³⁺⁴ = (-3/7)⁷
Answer:
the answer to this question is (-3/7)^7
13 less than fourteen times a certain number is twenty-nine more than 7 times that number. What is the number? (I only need the answer)
A. 12
B.6
C.7
D.9
Answers
Answer: B. 6
Step-by-step explanation:
Let x be the [certain number]
Rephrase the expression
13 less than fourteen times a certain number is twenty-nine more than 7 times that number
14x-13=7x+29
Calculate
Given
14x-13=7x+29
Add 13 on both sides
14x-13+13=7x+29+13
14x=7x+42
Subtract 7x on both sides
14x-7x=7x+42-7x
7x=42
Divide 7 on both sides
7x/7=42/7
x=6
Hope this helps!! :)
Please let me know if you have any questions
Suppose a study of population 400,000 has been growing at rate of 7% per year if this rate continues find the population of this city in 10 years the population in 10 years will be approximately
Answers
Answer:
680,000
Step-by-step explanation:
Population before growing rate: 400,000
Growing rate: 7%
Duration: 10 years
___
First, you will have to calculate how much does the population increase each year with the said rate, so you will have to multiply the rate by the population to determine that amount.
400,000 x 7/100 = 28,000
So the population increases by 28,000 each year, now you will have to multiply that amount by the amount of years to determine how much the amount of increase.
28,000 x 10 = 280,000
This means that the population has increased by 280,000 in these 10 years. Finally, you will have to add that number to the population amount to get the answer.
400,000 + 280,000 = 680,000
Find the equivalent expressions for (x + 7)(x + 1).
x(x + 7+8)
(x +4)^2 - 9
x^2+ 8x + 7
x^2+ 7x + 8
(x+ 4)^2 +9
x(x + 8) +7
Answers
Answer:
The answers should be
x^2 + 8x + 7
x(x + 8) +7
Step-by-step explanation:
(x + 7)(x + 1)
x(x) + x(1) + 7(x) + 7(1)
x^2 + x + 7x + 7
x^2 + 8x + 7
Answer:
C d
Step-by-step explanation:
Simplify
8V 28
[tex]8 \sqrt{28} [/tex]
Answers
Cindy is selling Kylie jenner lip kits and makes a 10% commission on all sales. What would her commission be on the sale of a $3,250 sale of lip kits?
Answers
Answer:
10
100
×
3250
=
$
325
Step-by-step explanation: