If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)? –196 –168 22 78
Answer: Hey buddy it's -168 or B. Hope that helps.
Step-by-step explanation:
edge 2020
The value of (fog)(-2) is -292
What is a composite function ?A composite function is a combination of two or more than two functions where the output of the previous function is the input to the next function.
Given
f(x) = 8 - 10x and g(x) = 5x + 4
To find
(fog)(x) where x = - 2
First we will find (fog)(x)
putting the value of g(x) in f(x)
(fog)(x) = 8 - 10(5x + 40)
= 8 - 50x - 400
= -50x - 392
(fog)(-2) = -50(-2) - 392
= 100 -392
= -292
Learn more about Composite functions here:
https://brainly.com/question/20379727
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The temperature was 4 degrees below zero at 9 AM, By 6 PM, the
temperature had risen 24 degrees. What was the temperature at 6 P.M.?
The length of the base of an isosceles triangle is x. The length of a leg is 2x-6 The perimeter of the triangle is 23. Find x.
Answer: 2.20
Step-by-step explanation:
An isosceles triangle has two of its side equal. Since the length of of a leg is 2x-6, it means that the other length is also 2x-6 while the base is x.
We the add the sides together. This will be:
x + 2x - 6 + 2x - 6 = 23
5x - 12 = 23
5x = 23 - 12
5x = 11
x = 11/5
x = 2.20
At the school store the cost of three markers and two pencils is exactly $2.20 while the cost of four markers and six pencils is exactly $3.40. How much would it cost to buy 1 marker and 2 pencils?
Answer:
[tex]\$0.92[/tex]
Step-by-step explanation:
Let cost of 1 marker be [tex]x[/tex] and 1 pencil be [tex]y[/tex]
From the question we get two equations
[tex]3x+2y=2.2\quad ...(i)[/tex]
[tex]4x+6y=3.4\quad ...(ii)[/tex]
Multiply the first equation by 3 [tex](i)\times3[/tex]
[tex]9x+6y=6.6\quad ...(iii)[/tex]
[tex]4x+6y=3.4\quad ...(iv)[/tex]
Subtracting the above equations [tex](iii)-(iv)[/tex] we get
[tex]5x=3.2\\\Rightarrow x=\dfrac{3.2}{5}\\\Rightarrow x=0.64[/tex]
[tex]4x+6y=3.4\\\Rightarrow y=\dfrac{3.4-4x}{6}=\dfrac{3.4-4\times 0.64}{6}\\\Rightarrow y=0.14[/tex]
One marker costs $0.64 and one pencil costs $0.14
Cost of 1 marker and 2 pencils is [tex]0.64+0.14\times 2=\$0.92[/tex].
hellllllp
awarding brainllest and +100 points
Answer: -45/4 = -11 1/4
7
Slope
6'
y-intercept (0, – 6)
What is the equation
Answer:
y = 7x - 6
Step-by-step explanation:
We are given the slope of 7 and the y-intercept of (0, -6).
We can easily write this in slope-intercept form.
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
Replace 'm' with '7' and 'b' with '-6'.
[tex]y=mx+b\rightarrow \boxed {y=7x-6}[/tex]
Hope this helps.
whats the answer ?
[tex]2(x^2 - 3) - 8 = - 6[/tex]
Step-by-step explanation:
Remove the parentheses
2x^2-6-8= -6
Cancel equal terms
2x^2-8=0
Move the constant to the right
2x^2=8
Divide both sides by 2
x^2=4
Simplify the equation
x=+2 or -2
Find JL using the perpendicular or angle bisector method.
a music teacher gathered data from several clarinet players about the time they spent practicing their instruments and the number of errors they made on a performance assessment. the data and the line of the best fit are shown in the scatter plot
Answer:
The answer is A. Yes, because the points in the plot are all very close to the line, which indicates a strong association.
Step-by-step explanation:
plouto answer
Answer:
Yes, because the points in the plot are all very close to the line, which indicates a strong association.
Step-by-step explanation:
When the points in a scatter plot are very close to the line of best fit, there is a strong association between the two variables and the line of best fit can be expected to make reliable predictions.
So, yes, the line of best fit could be used to make reasonable predictions, because the points in the plot are all very close to the line, which indicates a strong association.
What are the zeros of f(x) = x2 - x - 20?
Answer:
(-4,0) and (5,0)
Step-by-step explanation:
Factor.
f(x) = x^2 -x - 20
Factors of -20 that when are added they equal -1
-5 and 4
(x-5) (x+4)
x=5 and x=-4
find the value of x
If x is positive and x^2 = 729, what is the value of x? Please help
Answer:
X= 27
Step-by-step explanation:
Square root both sides
x = + or - 27
but since it’s positive x=27
Assume lines p and q intersect to form adjacent angles 1 and 2.
If m∠1=(7x+6)°
and m∠2=(8x−6)°,
find the value of x such that p is perpendicular to q.
Answer:
x=12
Step-by-step explanation:
To make these 2 lines perpendicular to each other, one of their angles must be equal to 90 degrees.
Therefore, we can set up an equation with one of the angles:
7x+6=90
7x=84
x=12
The information of the other angle is useless in this case, but we can use it to check by plugging in 12 for x, and seeing if it equals to 90:
8*12-6=96-6=90
Therefore, x=12.
Chanelle deposits $7,500 into the bank. She does not withdraw or deposit money for 6 years. She earns 6% interest during that time.
a. How much interest will she have earned at the end of 6 years?
Answer:
2700
Step-by-step explanation:
A factor divides evenly into another number without a ________ left over.
Answer: remainder
Step-by-step explanation:
Find the distance between the points given.
(-3,-6) and (3, 2)
4
752
10
Answer:
10
Step-by-step explanation:
You should get this answer if you use the distance formula! :)
4 Gears A and B turn together. Gear A turns 20 times when
Gear B turns 30 times. When Gear A turns 60 times,
how many times does Gear B turn? Show your work
Answer:
90 turnsStep-by-step explanation:
Ratio of turns
A/B = 20/30 = 2/3If A = 60 then the ratio is
60/B = 2/3 ⇒ B = 60*3/2 = 90-7(a - 3) = 11 - 7a
what’s the answer
Answer:
the statement is false there is no solution
Step-by-step explanation:
step 1 -7(a-3)=11-7a
step 2 -7a+21=11-7a
step 3 cancel out the -7a's
step 4 you are left with 21=11 which does not work so it is false
Devaughn's age is three times Sydney's age. The sum of their ages is 68. What is Sydney's age?
Answer:
16
Step-by-step explanation:
Devaughn's age is three times Sydney's age. The sum of their ages is 68. What is Sydney's age?
ehelp help help help help
Answer:
The ratio of red to green crayons is 18 to 24 which can be reduced to 3 to 4.
Step-by-step explanation:
Half of the difference of 3 and 1
Answer: 1
Step-by-step explanation:
Pls help me ill give brainlyest to first correct answer! pls and thank u!
Answer:
1 1/6
Step-by-step explanation:
the answer is 1 1/6
Answer:
for the first one, it is c. the second one is b
Step-by-step explanation:
“Write five sentences about proportional relationships”
Answer:
Now, we’re going to consider an example of proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we’ll pay.
Step-by-step explanation:
hope this helps
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality". Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.
−4p + 9 = −5
what is the answer
Answer:
p = -1
Step-by-step explanation:
-5 - -9 = 4
-4p/4 = -1
p = -1
2 of 6
Given that a = 12 cm and b = 17 cm, work out the area of the triangle.
Give your answer rounded to 1 DP.
Answer:
102 cm²Step-by-step explanation:
area of a triangle = 1/2 * base * height
= 1/2 * 12 * 17
= 102 cm²
Given that 1 kilogram = 2.2 pounds, which statements are true?
Two kilograms is equal to 4 pounds.
Three kilograms is greater than 6 pounds.
Four kilograms is less than 8 pounds.
Five kilograms is equal to 11 pounds.
Answer:
the second and fourth statements
Step-by-step explanation:
What is the product of the expression
(2+3i)(4-5i)
Devon records 4 hours of reality shows on her DVR. She records comedy shows for ⅜ of that amount of time. Devon watches all the reality and comedy shows in half-hour sittings.
Answer:
1 1/2 hours = 90 minutes
Step-by-step explanation:
Devon records 4 hours of reality shows on her dvr she records comedy shows 3/8 of that amount of time. Devon watches all the reality and comedy shows in half hour sittings. Find the number of hours of comedy shows that Devon records
Total hours of reality show = 4
Comedy shows = 3/8 of 4 hours
Number of hours of comedy shows that Devon records = 3/8 of 4 hours
= 3/8 × 4
= 12 / 8
= 1 4/8
= 1 1/2
Number of hours of comedy shows that Devon records = 1 1/2 hours
There are 60 minutes in an hour
1 1/2 hours = 1 1/2 × 60 minutes
= 3/2 × 60
= 180 / 2
= 90 minutes
Therefore,
1 1/2 hours = 90 minutes
When dividing 82 by 43, Linda estimated the quotient to be 2. Examine Linda’s work, and explain what
she needs to do next. On the right, show how you would solve the problem.
Answer:
82/43 = 1 and 39/43
Step-by-step explanation:
When dividing 82 by 43 , the operation follows;
82/43 = 1 and 39/43
This means the quotient is 1 and reminder is 39
However;
82/43 = 1.907 ------nearest whole number is 2.
so the quotient can be approximated to the nearest whole number as 2.
evaluate composite functions f(x)=3*2^x-4 g(x)=1/1+x g(f(2))=
Answer:
Step-by-step explanation:
g(f(x))= 1/1+(3*2^x-4)
Therefore g(f(2))=1/1+(3*2^(2)-4)