Answer:
y=-2x+11
Step-by-step explanation:
Slope-intercept form is y=mx+b.
Slope is rise/run, which is y2-y1/x2-x1. Using these points, that's (13-5)/(-1-3). This is 8/-4, or -2.
You can plug this into y=mx+b to get y=-2x+b.
To solve for b, you can use one of the original points and plug it back into the formula:
y=-2x+b
5=-2(3)+b
5=-6+b
b=11
So, putting it all together, you get y=-2x+11.
For which pair of functions is (g circle f) (a) = StartAbsoluteValue a EndAbsoluteValue minus 2?
f(a) = a2 – 4 and g (a) = StartRoot a EndRoot
f (a) = one-half a minus 1 and g(a) = 2a – 2
f(a) = 5 + a2 and g (a) = StartRoot a minus 5 EndRoot minus 2
f(a) = 3 – 3a and g(a) = 4a – 5
Please explain in detail I am very confused about the whole thing thx for ur help in advance :)
Given:
[tex](g\circ f)(a)=|a|-2[/tex]
To find:
The functions f(x) and g(x).
Solution:
We know that,
[tex](g\circ f)(a)=g[f(a)][/tex]
If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then
[tex](g\circ f)(a)=g[a^2-4][/tex]
[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]
Option A is incorrect.
If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then
[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]
[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]
[tex](g\circ f)(a)=a-2-2[/tex]
[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]
Option B is incorrect.
If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then
[tex](g\circ f)(a)=g[5+a^2][/tex]
[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]
[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]
[tex](g\circ f)(a)=|a|-2[/tex]
Option C is correct.
If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then
[tex](g\circ f)(a)=g[3-3a][/tex]
[tex](g\circ f)(a)=4(3-3a)-5[/tex]
[tex](g\circ f)(a)=12-12a-5[/tex]
[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]
Option D is incorrect.
Therefore, the correct option is C.
PLEASE HELP!!!!!!!!!!!!!!!
Answer:
Blue
blue with a hint of orange
10 points pls help me this is urgent if i don’t do this i won’t pass
Answer:
Here's something to help you
Step-by-step explanation:
I'm using the second question as an example.
To find the Unit Rate, you have to divide the amount of money by the amount of whatever the product is
5.99/8= 0.74875
Since the question says to round it to the nearest hundredth, that means the price per unit (unit rate, or the price for one battery here) would be about $0.75. Simple, right?
pls help will give brainliest to best answer
Answer:
y=250x-4
Step-by-step explanation:
If y represents the amount of money made in a week, y=250.
If x represents the amount of cakes that are made, x=?
You make $250(y) a week, you then spend $4(x) per cake, this would make the equation:
y=250x-4
What is the product of 60?
Answer:
the product of 60 is 5×3×2×2
Cindy bought 3 burgers and 2 soft drinks for $10.50. At the same restaurant, Sean bought 4 burgers and 3 soft drinks for 14.50. How much does 1 burger cost
Answer:
To much to count
Step-by-step explanation:
Help me with this please
Answer:
It would be -13
Step-by-step explanation:
Answer:
-13
Step-by-step explanation:
You need to separate the 8 from each side of the equation. Picture it like this:
-104= 8 (multiplied by) x
To separate 8 from the variable, you need to divide that side by 8. Similarly, you need to do the same thing to the other side.
-104/8=8x/8
-13=x
help me with this its super hard
Answer:
240
Step-by-step explanation:
Because you have to do length times with times height
12 times 10 times 2= 240
What is the decimal value of 5/6
Answer:
0.83
Step-by-step explanation:
The 3 keeps going on and on and on :)
Hey there!
• In order to CONVERT a FRACTION to a DECIMAL, all you have to do is DIVIDE the NUMERATOR (TOP number) from the DENOMINATOR (BOTTOM number)
• “What is the decimal value of 5/6?”
5 / 6 = 5 ÷ 6 → 0.83
Answer: 0.83 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
It is approximately 32 miles from Dallas to Fort Worth.
Which number sentence could be used to find f, the number
of feet from Dallas to Ft. Worth.
(A) 1760 x 1/32 = f; because the scale factor is 5280
(B) 32 x 1760 = f; because the scale factor is 5280.
(C)5280 x 1/32 = f; because the scale factor is 5280.
(D)32 x 5280 = f; because the scale factor is 5280.
1,232 divided by 8 =?
Show your work!
Answer:
154
Step-by-step explanation:
just divide 1232 and 8
(long division)
The amount of seed needed for a landscaper to cover a lawn is shown in the table. Decide if the relationship between the amount
of seed and the area it covers is proportional.
Answer:
yes it is
Step-by-step explanation:
V
P
A
4 Here is an explanation that the angle sum of triangle ABC is 180°.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
С
B
5 Show that the interior angles of this shape add up to 360°.
Answer:
Step-by-step explanation:
360
Why do we convert from a mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator?
A mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator
What are Mixed Numbers?
A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
To convert a mixed number to an improper fraction , we need to follow these three steps :
Step 1 : Multiply the whole number by the denominator
Step 2 : Add the answer from Step 1 to the numerator
Step 3 : Write answer from Step 2 over the denominator
Take for example :
Let the number be x = 5 5/9
Step 1 :
Multiply the whole number by the denominator
9 × 5 = 45
Step 2 :
Add the answer from Step 1 to the numerator
45 + 5 = 50
Step 3 :
Write answer from Step 2 over the denominator
50/9
Therefore , the mixed number 5 5/9 is converted to its improper fraction as 50/9
To learn more about mixed numbers click :
https://brainly.com/question/2639375
#SPJ6
What is the slope intercept.
How long does it take for the contestant to go from A to D if 15 feet is a second. I got 13.333 seconds but it says im wrong. Can someone help me out please
========================================================
Explanation:
Since triangle ABD is congruent to triangle CBD, this means the corresponding pieces AB and BC are the same length. Both are 70 feet.
Similarly, AD = DC = 60 ft.
The total length traveled is:
AB+BC+CD = 70+70+60 = 200 ft
We never use BD = 50 at all.
Divide this total distance over the speed of 15 ft per second, and we get 200/15 = 13.333 seconds approximately.
You are correct so far. You just need to round this value to the nearest tenth, as the instructions indicate. So you'll round to one decimal place. The value 13.333 turns into 13.3 which is the final answer.
Alexa bought 2 1/3 pounds of turkey for 26.25. What is the cost per pound?
Answer:
11.25
Step-by-step explanation:
Answer:
approximatly $11.25
Step-by-step explanation:
26.25/2.333333 = 11.2500000161
need help plz its math
Answer:
option D 41
Step-by-step explanation:
since ∠N = ∠L
this means that MN = ML (sides opposite to equal angles are equal)
thus
3x + 1 = 5x - 7
1 + 7 = 5x - 3x
8 = 2x
8/2 = x = 4
inserting values
3*4 + 1= 13
4*4-1 =15
5*4-7 = 13
adding all
13 + 13+ 15 = 41
option D 41
Which polynomial is in standard form?
N
O 26x5 + 12x7-8x3 + 6x
O 3x5 +x-6x2 + 5
11x5-6x2-9x+12
5x2 + 18x3 - 12x4 +4x7
Answer:
i am pretty sure it is D
Step-by-step explanation:
Answer:
Its C.) 11x^5 - 6x^2 - 9x + 12
Step-by-step explanation:
ejenuwitee
=D
=P
If EG=71 , find the value of x
Answer:
A
Step-by-step explanation:
A = 71 so then EG = 91
3x + 2(4 + 6x) = 113
Explain what you did in each step of your solution.
Answer:
x = 7
Step-by-step explanation:
So first, multiply everything inside the ( ) by 2
So then, the equation will look like this: 3x + 8 + 12x = 113
Then, combine like terms, which leave the equation to look like this:
15x + 8 = 113
Then subtract 8 from both sides, leaving the equation like this : 15x = 105
Last step, divide both sides by 15, which leave you with x = 7
1. What is the place value of the 5 in the number 1,589,302? *
hundreds
O hundred thousands
millions
Answer:
Hundred thousand
Step-by-step explanation:
500,000
Find the slope between (-1, 7) and (-3, 1).
Answer:
[tex]m=3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, 7)
Point (-3, 1)
Step 2: Solve for x
Substitute [SF]: [tex]m=\frac{1-7}{-3+1}[/tex]Subtract/Add: [tex]m=\frac{-6}{-2}[/tex]Divide: [tex]m=3[/tex]a bakery sold 208 chocolate cupcakes in a day,which was 25%of the total number of cupcakes sold that day. How many cupcakes did the bakery sell that day
Answer:
832
Step-by-step explanation:
multiply the 25% by 4
Answer:
Coryxkenshin
Step-by-step explanation:
students set up 6 rows of seats for a music concert. they put 6 seats in each row. what is the total number of seats? solve this problem any way you choose
Answer:
36
Step-by-step explanation:
becuase each row has 6 in them and there are 6 rows so 36 is the final answer
An entire pumkin pie (16 Slices ) has 3,840 calories. If the pie is cut into 16 slices how many calories are in each slice?
Answer:
240
Step-by-step explanation:
Answer:
240 calories
Step-by-step explanation:
3,840 divided by 16 is 240 :)
in a company, 40% of the workers are women. If 1380 woman work for the company, how many total workers are there?
Answer:
Step-by-step explanation:
The total number of workers is our unknown. If 40% of this unknown number are women and the number of women is 1380, then the equation looks like this:
(remember that the word "of" generally means to multiply)
(also remember that we have to use the decimal form of a percent in an equation)
.40(x) = 1380 then divide to get the number of total workers:
x = 3450
Slope, m = 3, y-intercept, b = 5
Answer:
I can't help if I don't have enough to answer sorry
Step-by-step explanation:
Determine whether the given figure tessellates the plane.
a yes
b. no
Yes. Given figure tessellates the plane.
What is tessellation?"It is a pattern created with identical shapes which fit together with no gaps."
For given situation,
The figure is a hexagon.
A shape is said to tessellate the plane if the plane can be covered without holes and no overlapping (save for the boundary points) with congruent copies of the shape.
So the figure is tessellates the plane with triangles.
Learn more about tessellation here:
https://brainly.com/question/2033730
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6.203x4.5
Help pls asap
Answer:
27.9135
Step-by-step explanation: