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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
What negative number equals to the number 10
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y=xe^x how do you find the domain of the following function
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9514 1404 393
Answer:
all real numbers
Step-by-step explanation:
Basically, you look for any values of x for which the function is not defined. There are none. So, the domain is "all real numbers."
__
The function is the product of a polynomial (x) and an exponential function (e^x). Each of those kinds of functions has a domain of "all real numbers". Multiplication is also defined for all real numbers, so there is nothing about this product that would restrict the domain.
Pls help me with my homework
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I need help! It's due in one hour.
Given: R(-2, 0), S(-3, 1), T(0, 1), U(-5, 3) and V(4, 3).
Prove: ΔRST ~ ΔRUV
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This is a simple transformation, DILATION.
Upon graphing this out, or finding the side lengths of the triangle, you will find that side length RU is triple of that of RS. This is the same for RV and RT. Dilation transformations don't change angles, only side lengths, and for the whole triangle, which means that this transformation will still equate the triangles to each other.
Can someone please help me with this
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Answer:
D
Step-by-step explanation:
A has the rate of change of 3
B has the rate of change of 5
C has the rate of change of 9
D has the rate of change of 20
B has a rate of change of 5
C has a rate of change of 9
D has a rate of change of 20
Therefore D has the highest rate of change. Hope this helps! :)
A tree is growing at a constant rate. It is recorded that at the 7th year since it was planted it was at a height of 25 feet. It was recorded again at the 10th year since it was planted and it was at a height of 31 feet. How much does the tree grow every year?
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9514 1404 393
Answer:
2 feet per year
Step-by-step explanation:
In the 3 years between the 7th and 10th, the tree grew 6 feet from 25 ft to 31 ft. The rate of growth is ...
(6 ft)/(3 yr) = (6/3) ft/yr = 2 ft/yr
A store sells 6 oranges for $13 . What is the cost for 10 oranges ? This is 100 points pls help ....?
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Answer:
Approximately $21.67
Step-by-step explanation:
The cost of one orange:
13 ÷ 6 = 2.16666
The cost of 10 oranges:
2.166666 × 10 = 21.66666 ≈ $21.67
PLS HELP Its somewhat easy math
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b - 29 1/4
What is the value of y?
Enter your answer in the box.
y =
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Answer:
180-79-37=101-37=64
y=64 degrees
Answer:
y = 64
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the given angles and equate to 180
y + 37 + 79 = 180
y + 116 = 180 ( subtract 116 from both sides )
y = 64
y^2-y-42
pls helpppppp i dunno how to do this one??
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Hopefully this is right :)
Which two statements are true
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Answer:
Only 2nd option is the correct answer.
There is no other correct option given.
Step-by-step explanation:
Hope it helps you in your learning process.
Im confused????? I think its 9/16 is it??
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Answer:
yes indeed it is ma'am or by if u trans like Lil Nas X
Answer:
Yes it is
Step-by-step explanation:
The school band is selling t-shirts for a fundraiser. The initial cost for a steamer to apply the decals is $100. It is predicted that the cost of material for each shirt is $12. The function that shows the band's average cost per t-shirt after x t-shirts are sold is:
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Answer: Vertical asymptotes is x = 0 and the horizontal asymptotes is y = 12.
The average cost approaches to 12 when the number of shirts increases.
Step-by-step explanation:
Since we have given that
Initial cost for a steamer to apply the declas = $100
Cost of material for each shirt = $12
Function representing the band's average cost per t-shirt after x t-shirt are sold is given by:
We need to find the vertical asymptotes , horizontal asymptotes and the average cost to make a t-shirt approaches as the number of t-shirts increases,
For vertical asymptotes , we will make denominator equal to zero.
So, it will be
Thus, vertical asymptotes is x= 0.
Similarly,
For horizontal asymptotes, we first check the degree of both numerator and denominator.
Since we can see that both have the same degree i.e. 1.
So,
So, the horizontal asymptotes is y = 12.
When the number of shirts increases ,The average cost to make a T-shirt approaches is given by
Hence, the average cost approaches to 12 when the number of shirts increases.
Answer:
The vertical asymptote is x = 0
The horizontal asymptote is y = 12
The average cost to make a t-shirt approaches $12 as the number of t-shirts made increases.
Step-by-step explanation:
solve 3x≤ -6 graph the sloution
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3x≤-6
x=-2
mark it on the x axis and then shade to the left
Answer:
x≤-2
Step-by-step explanation:
What is the greatest common factor of 16 and 24?
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Answer:
8
Step-by-step explanation:
Answer:
The GCF is 8 I believe sorry if I'm wrong
Step-by-step explanation:
and if I'm wrong please correct me
PLEASE LOOK AT ATTACHMENT-25 POINTS
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Answer:
Step-by-step explanation: 10/2 = 5
20^2= x^2 + 5^2
400=x^2+25
x^2=375
x= 19.4
Answer:
h = 19.36 cm
Step-by-step explanation:
using Pythagorean theorem
20^2-5^2 = h^2
h^2 = 375
h = 19.36 cm
Based on the lesson, identify the first operation needed to solve the following equation.
- 3 = 11
multiplication
addition
subtraction
division
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Answer:
Im going with B hope this helps
Step-by-step explanation:
A ski slope is 320 yards long with a vertical drop of 100 yards. Find the
angle of elevation of the ski run. Round to the nearest degree.
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Answer:
18°
Step-by-step explanation:
A ski slope is 320 yards long with a vertical drop of 100 yards. Find the
angle of elevation of the ski run. Round to the nearest degree.
The formula for angle of elevation is given as:
sin θ =Opposite/ Hypotenuse
Opposite = Vertical drop = 100 yards
Hypotenuse = Ski slope = 320 yards.
Angle of elevation =
sin θ = 100/320
sin θ = 0.3125
θ = arc sin(0.3125)
= 18.209956864°
Approximately = 18°
Jasmine buys 3 T-Shirts and 3 Hats for $11.25. The next day, he buys 4 T-Shirts and 2 Hats for $10. How much does each T-Shirt and each Hat cost? Write a system of equations that can be used to solve the problem. Then solve the problem.
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Answer: Each shirt costs $1.25, and each hat costs $2.5.
Step-by-step explanation:
Let x= Cost per T-shirt, y = Cost per Hat.
As per given,
3x+3y=11.25 (i)
4x+2y=10 (ii)
Multiply 4 to equation (i)
12x+12y=45 (iii)
12x+6y= 30 (iv)
Eliminate (iv) from (iii), we get
6y= 15
⇒ y = 2.5
Put value of y in (i)
3x+3(2.5)=11.25
⇒3x+7.5=11.25
⇒3x= 3.75
⇒x= 1.25
Hence, each shirt costs $1.25, and each hat costs $2.5.
I really need help PLZ and show work
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Answer:
I'm pretty sure it's 6(x+8)=60
Step-by-step explanation:
Answer:
the third one or 3(x+8)
Step-by-step explanation:
60/3 = 20
PLEASEEEE HELP!!!
Which equation should you solve to find x?
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Answer: A
Step-by-step explanation:
A️Ex
Answer:
A. sin 34 = x/12
Step-by-step explanation:
Take my advice.
I need help with these questions please help it's due tomorrow
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show how to rewrite 1/5 with the denominator 10.
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Answer:
first blank: 2
second blank: 2
3. Would it be more efficient to use an inequality vo
or to list all of the quantities less than 6? Explain.
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Answer:
Inequality
Step-by-step explanation:
There are an infinite number of quantities less than 6 (5, 4, 3, 2, 1, 0, -1, -2, -3...) so it is much easier to write an inequality
Simplify the following expressions and evaluate any numerical expressions.
(−3x)2
Select one:
−9x4
−9x2
9x4
9x2
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Answer:
-6x
Step-by-step explanation:
Why is it 9? Cuz its not 3(3)
Jika 5log2 = x dan 5log6 = y, maka nilai 4log150 adalah
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Menjawab:
y + 2x
Penjelasan langkah demi langkah:
Menulis ulang pertanyaannya
4log5 = x
4log 6 = y
4 log 150 = 4log (2 * 3 * 5 * 5)
= 4log 6 + 4log 5 + 4log 5
Substrat
= y + x + x
= y + 2x
Oleh karena itu ekspresi yang dibutuhkan adalah y + 2x
Eyan bought 234 pounds of apples for $1.32 per pound, 112 pounds of peaches for $1.20 per pound, and some tomatoes, all from a grocery store. The total cost of his purchase was $9.63. How much money did Leyan spend on tomatoes?
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Answer:
the money spend on tomatoes is $4.20
Step-by-step explanation:
The computation of the money spend on tomatoes is shown below
Let the money spend on tomatoes be x
So
[tex]2 \frac{3}{4} \times \$1.32 + 1\frac{1}{2} \times \$1.20 + x = \$9.63\\\\[/tex]
$3.63 + $1.80 + x = $9.63
x = $9.63 - $3.63 + $1.80
= $4.20
Hence, the money spend on tomatoes is $4.20
how do I complete this?
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Answer:
I think both angle formed is equal bcz of corresponding angle property
Gia walked 1/4 mile from her house to the park, then 3/8 mile around the park, and then 1/4 mile back home. How many miles did she walk in all?
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Answer:
7/8 miles
Step-by-step explanation:
Given data
From her house to the park= 1/4 miles
Around the park = 3/8 miles
back home= 1/4 miles
Total distance= 1/4+3/8+1/4
LCM= 8
=2+3+2/8
=7/8 miles
Please help me guys
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So (x+9)+2x=90
Explanation: (x+9) and 2x are two angles inside the 90 degree angle. Therefore if they are added together they will make the 90 degrees.