Answer:
Step-by-step explanation:
f(g(x) ) = 5(g(x)) +8
=5(3)+8
=15+8
=23
g( f(x) ) = 3(f(x))
=3(5x+8)
=15x +24
:)
30
200
y - 200+ 0.50x
y = 50 + 0.30x
Consider the data shown on the graph.
• The y-intercept represents the base price of $ drag and drop answer here for airfare from NYC
• The slope represent a cost of drag and drop answer here cents per mile traveled.
• If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be drag and drop answer here
• If the cost per mile changed to 50 cents, the new equation would be drag and drop answer here
Answer:
Step-by-step explanation:
THE ANSWER IS 200 , 30, Y=50+0.30X, Y=200+ 0.50X
The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
EXPLANATION
The equation given can be express as
y = 0.25x + 50
y = 0.30x + 40
Since, both equations are functions
Equate the two functions together
0.25x + 50 = 0.30x + 40
Collect the like terms
0.25x - 0.30x = 40 - 50
x(0.25 - 0.30) =-10
x(-0.5) = -10
-0.5x = -10
Divide both sides by -0.5
-0.5x / -0.5 = -10/-0.5
x = 10/0.5
x = 20
When collecting the like terms, we isolate values with the same variables from values with a different variables.
If a positive sign crosses an equality sign it automatically becomes a negative sign and if a negative sign crosses an equality operator it automatically becomes a positive sign.
Hence, The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.
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complete question:
Y=0.25x +50=0.30x+ 40 how would I get x=20?
2. Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
Working together, how long would it take them to frame in a room?
Answer:
4.5 hours
Step-by-step explanation:
to find the average/middle (how long it would take them when working together) you add both numbers and divide by two
4+5=9
9÷2= 4.5
hope this helps chu <3
The time take by them to the job together is 5 hours.
What is time taken?Time Taken = 1 / Rate of Work If a piece of work is done in x number of days, then the work done in one day = 1/x Total Wok Done = Number of Days × Efficiency.
Efficiency and Time are inversely proportional to each other.
Given that, Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
We need to find the time taken by them if they work together,
So, the total hours taken by Sheila = 5 hours
So, she will do the work in 1 hour = 1/5 parts
Similarly, for David also, he will do in 1 hour = 1/4
Now, when they are working together in hour = 1/4 + 1/5
= 4+5 / 45 = 9/45 = 1/5
Since, there work in 1 hour = 1/5 units
That mean, they will do the whole work in 5 hours.
Hence, the time take by them to the job together is 5 hours.
Learn more about time taken, click;
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Miguel is building a picture frame for his friend who has painted a family portrait. Miguel is making a square frame for the painting. He purchased a 3 foot
pine board to build the frame. He used 21 inches of the board to make the frame. How much wood would be used to create 1 side of the frame?
sin A =
option 1: 40/9
option 2: 9/41
option 3: 40/41
option 4: 41/40
what is the correct answer?
Answer: Option 3 40/41
Step-by-step explanation:
Sin of angle A means the opposite over hypotenuse. The opposite of Angle A is 40 and the hypotenuse is 41 so SinA is 40/41
Answer:
option 3: [tex]\frac{40}{41}[/tex]
Step-by-step explanation:
SOH CAH TOA
sine = [tex]\frac{opposite}{hypotenuse}[/tex]
sine A = [tex]\frac{40}{41}[/tex]
A spotlight is mounted on a wall 9.8 feet above a security desk in an office building. It is used to light an entrance door 14.5 feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door?
to be honest i think your answer is 51°
Use the figure and information below to find the length of each line segment
7th grade math please help me
Answer:
7. 6
8. 6
9. 12
10. 6
11. 12
12. 24
Step-by-step explanation:
The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24
What is the length?It is the measure of distance between the two points is called a length.
D is the mid-point of CE. Then
CD = DE = 6
B is the mid-point of AC. Then
AB = BC
C is the mid-point of AE. Then
AC = CE
AB + BC = CD + DE
AB + AB = CD + CD
2 AB = 2 CD
AB = CD
AB = 6
Then
AB = 6
BC = AB = 6
AC = AB + BC = 6 + 6 = 12
CD = DE = 6
CE = CD + DE = 6 + 6 = 12
AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24
More about the distance link is given below.
https://brainly.com/question/989117
A pair of jeans and a T-shirt cost $50. If two such T-shirts cost $1 more than the pair of jeans, find the cost of the pair of jeans.
(I need the answer ASAP)
If a large rectangle area is 99 yards on one side and 88 yards on the other side. How much space does it take up in square yards?
Answer:
99x88= 8712 square yards
Help me please thanks
Answer:
5/6
Step-by-step explanation:
(-6 - 4) / (3 * -4) [substitute a and b]
-10 / -12 [multiply the values in parenthesis]
5 / 6 [simplify by dividing by the common factor 2]
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\frac{b+a}{3a} \\\\\frac{-6-4}{3(-4)} \\\\\frac{-10}{-12} \\\\\frac{5}{6}[/tex]
SOLVE FOR X
PLZ ACTUALLY RESPOND, DON’T ASNWER WITH LINKS
Answer:
this is not an answer sorry, but someone answered me with a link and I opened it and it virused my phone
Answer:
Also not an answer
Step-by-step explanation:
I also got a virus on my phone. I had to get a whole new device.
What is the total surface area??
Answer:
790 units^2
Step-by-step explanation:
Take the area of each side and add them all up. Remember each side is there twice.
Formula: SA = 2(15*5 + 15*16 + 5*16)
SA = 2(75 + 240 + 80)
SA = 2(395)
SA = 790
Which would be the most appropriate way to estimate -6.1(0.22)
Answer: Answer is 1
Step-by-step explanation:
1. If X+Y=7 and xy = 10 , then x3+ y3
Answer:
final answer is 21
Step-by-step explanation:
since x+y=7 and xy=10
2+5=7 and 2(5)=10
so,
(5)3=15
(2)3=6
15+6= 21
1. A finance company charges $55 simple interest on a sum of money which is
borrowed for five months. Given that the rate
of interest is 12% per annum, find the sum of
the money.
Options:
1) $1200
2) $1100
Answer:
$1100 approx
Step-by-step explanation:
Given data
SImple interest = $55
Time= 5 months in years = 5/12= 0.42 years
rate= 12%
Let the sum be P, that is the principal
The expression for the interest is given as
SI=PRT/100
substitute
55= P*12*0.42/100
Cross multiply
5500=5.04P
P= 5500/5.04
P= 1091.2
Hence the Principal is $1100 approx
how do you factor 24+18v.
Please explain and show your work.
So we take 6 out of each term so it is [tex]6(4+3v)[/tex] hope this helped.
Answer:
hey bby
Step-by-step explanation:
I NEED HEEEEEEELP-
But- People can you guys give me a straight answer? I'm tired and have a headache from all this. I need to make this assignment.
..........
Answer:
C= 93⁰, B= 64⁰, D= 23⁰
Step-by-step explanation:
180= (4x + 1) + (3x - 5) + x⁰
180= 4x+1 +3x-5 +x
180= 8x - 4
184= 8x
184/8= x
23=x
therefore
C= (4(23) +1)
C= 93
B= (3(23)-5)
B= 64
D= 23
93⁰+64⁰+23⁰=180⁰
Tina's gross pay is $2860. How much of her gross pay will be deducted for FICA taxes? (The Social Security tax is 6.2% of gross pay. The Medicare tax is 1.45% of gross pay.)
$218.79
$205.02
$177.32
$41.47
Can someone help me please
Answer:9/40
Step-by-step explanation:
there is no use of hupotenuse as tanA = p/b
plz help me with this its hard :(
Answer: 50 degrees
Step-by-step explanation:
Since the angle is 80 degrees, you need to subtract 80 from 30 to get f.
80-30= 50
Help ASAP! use the second image attached to answer!
Answer:
only the circle graph
Step-by-step explanation:
Answer:
Only the graph
Step-by-step explanation:
Im not an expert or anything but the chart only shows numbers, which aren't useful, but the circle shows, under the 80-89, 44.4%, which is the useful one. hope that helps you
r=1.2 yd area of the circle
Answer: 1.44pi
Step-by-step explanation:
in the figure below, lines m and n are parallel. What is the value of x?
Answer:
x = 51
Step-by-step explanation:
It looks like alt int. angles (correct me if im wrong)
3x - 40 = 2x + 11
x = 51
(x^2+8x+16)-1-16
what is the vertex form
Answer:
Use photo math, it will explain it all in different forms
Q19. Four positive whole numbers add up to 36
One of the numbers is a multiple of 7
The other three numbers are equal.
Work out the result when the four numbers are multiplied.
Answer:
Step-by-step explanation:
let the numbers be 7x,y,y,y.
7x+3y=36
3y=36-7x
[tex]y=\frac{36-7x}{3} \\let~x=3\\y=\frac{36-7 \times 3}{3} =\frac{15}{3} =5\\[/tex]
numbers are 7×3,5,5,5
or 21,5,5,5
21×5×5×5=2625
Please helpppp me ! If the sum of the roots of the equation mx^2 - (6m+1)x+m^3+m^2+4=0 is equal to 7 , what is the product of its roots ? ( will give brainliest if answer correctly ) . ♡
Answer:
The product of its roots is 6.
Step-by-step explanation:
Let [tex]m\cdot x^{2}-(6\cdot m +1)\cdot x+(m^{3}+m^{2}+4) = 0[/tex], all roots are calculated by Quadratic Formula:
[tex]r_{1} = \frac{6\cdot m +1 + \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (1)
[tex]r_{2} = \frac{6\cdot m +1 - \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (2)
According to statement, we know that:
[tex]r_{1}+r_{2} = 7[/tex] (3)
By applying (1) and (2) in (3), we have the following expression:
[tex]\frac{6\cdot m +1}{m} = 7[/tex]
[tex]6\cdot m + 1 = 7\cdot m[/tex]
[tex]m = 1[/tex]
If we know that [tex]m = 1[/tex], then the roots of the polynomial are, respectively:
[tex]x^{2}-7\cdot x +6 = 0[/tex]
[tex]r_{1} = 6[/tex]
[tex]r_{2} = 1[/tex]
And the product of the roots is:
[tex]r_{1}\cdot r_{2} = 6[/tex]
The product of its roots is 6.
The dimensions of a
rectangular piece of paper
are 10.5 inches and 10
inches. Ben folded the piece
of paper along its diagonal.
Find the length of the
diagonal in inches.
Answer: 12
Step-by-step explanation: you need to look at the paper
Factor the expressions using the GCF 54-30
I'm sorry, but what exactly are the expressions?
If you comment the expression under my answer, I'll edit my answer and actually answer it.
But nobody can answer an expression that doesn't exist-
Which phrase describes the algebraic expression 7/8y-3
Answer:
Step 1: Remove parentheses by multiplying factors.
= (x * x) + (1 * x) + (2 * x) + (2 * 1)
Step 2: Combine like terms by adding coefficients.
(x * x) = x2
(1 * x) = 1x
(2* x) = 2x
Step 3: Combine the constants.
(2 * 1) = 2
Step 4: Therefore, Simplifying Algebraic Expression is solved as
= x2 + 3x + 2.
Step-by-step explanation:
answer isx2 + 3x + 2.
If I have $358 and every week I get $100 but I donate 17% of that $100 to charity how much money do I have in 3 weeks?
Answer: 590
Step-by-step explanation: 17$ is 17% and times that by 3 because of the 3 weeks, then you have 68$ and I just added 300 to the rest and then just subtracted 68$
What can I say exept your not welcome :D
What is an equation of the line that passes through the point ( − 1 , − 3 ) and is perpendicular to the line x − 2 y = 14? pls answer will mark you as brainiest
Answer:
y = -2x - 5
Step-by-step explanation:
First rewrite the second equation into y = mx + b format:
x - 2y = 14
2y = x - 14
y = x/2 - 14/2 (Divide both sides by 2)
y = 1/2x - 7
A line perpendicular to another has the negative reciprocal slope
So the slope of our first equation is -2. (Flip 1/2 = 2, then take the opposite)
Plug in the points (-1, -3) for the x and y coordinates.
x (x coordinate) = -1
y (y coordinate) = -3
slope (m) = -2
-3 = -1(-2) + b
-3 = 2 + b
-3 - 2 = b
b = -5
The equation of the line is y = -2x - 5. Hope this helps! :)
Answer:
y = -2x - 5 or 2x + y = -5
Step-by-step explanation:
Let's find the slope of the given line.
-2y = -x + 14
y = 1/2(x) -7
m = 1/2
The slope of a line perpendicular is the negative reciprocal of 1/2, which is -2
Now use the point-slope form of a line
y + 3 = -2(x + 1)
y + 3 = -2x - 2
y = -2x - 5 or 2x + y = -5