Answers
If f(x) = √x and g(x) = 7x + b, then
f(g(x)) = f(7x + b) = √(7x + b)
If the plot of f(g(x)) passes through (4, 6), then
f(g(4)) = √(7•4 + b) = √(28 + b) = 6
Solve for b :
√(28 + b) = 6
(√(28 + b))² = 6²
28 + b = 36
b = 36 - 28
b = 8
Related Questions
Please I need help asap
Answers
Answer:5/5 then 10-7 then 6/2
Step-by-sanation:
Multiply. −5/6⋅27
A. −67 1/2
B. −32 1/4
C.−22 1/2
D.−18 1/2
Answers
who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?
Answers
Answer:
I believe Descartes
Step-by-step explanation:
René Descartes was one of the key figures in the Scientific Revolution of the 17th Century.
Plz answer ASAP. Find the volume of the same shape
Answers
Answer: 17m+19
Step-by-step explanation:
13. An amusement park drafting engineer must create a small
Ferris wheel with 12 cabs total, each equally spaced apart to
balance the wheel. How many degrees apart should each cab be?
Answers
Answer:
30 degrees
Step-by-step explanation:
a ferris wheel is a circle
the degree of a circle is 360
360/12=30
30 degrees each
hi can you help me ?
solve the equation by the method of vision:
x²-7x+12=0
solve the problem by dividing it into full squares:
x²-8x-8=0
Answers
this will be the answer
1: x=-4 or x=-3 and the second can be shown clearly
PLEASE HELP
Classify each sequence as arithmetic, geometric or neither:
1.) -1/16, 1/4, -1, 4, -16, …
2.) -5, 10, -15, 20, -25, …
3.) 65, 52, 36, 26, 13, …
[] Neither
[] Arithmetic
[] Geometric
Answers
Answer:
1. ARITHMETIC
2. NEITHER
3. GOEMETRIC
#Carryonlearning
find the slope of the line 2y+5x=3
Answers
Answer:
-5/2
Step-by-step explanation:
Turn the standard form into slope intercept!
[tex]2y+5x=3[/tex]
[tex]2Y=3-5x\\[/tex]
Now, lets isolate y
[tex]y=\frac{3}{2} -\frac{5}{2}x[/tex]
-5/2 is the slope
Hannah's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=7.1x+55 where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the yy-value when x=1?
Answers
Answer:
Expected score with 1 hour of homework
Step-by-step explanation:
ABC is an isosceles right triangle in which has a slope of -1 and mABC = 90°. ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of ?.
Answers
The slope of B'C' is 1 and it can be determined by using formula of scale factor.
Given that,
ABC is an isosceles right triangle in which has a slope of -1 and m ∠ABC = 90°.
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
We have to determine,
What is the slope of B'C'?
According to the question,
ABC is an isosceles right triangle in which,
Slope of AB = -1
And AB is perpendicular to BC.
When the two lines are perpendicular to each other then,
[tex]\rm The \ slope\ of\ AB \times Slope\ of \ BC = -1\\\\-1 \times Slope\ of \ BC = -1\\\\ Slope\ of \ BC = 1\\[/tex]
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
Length of Line segment A'B'= 1.8 × AB
So, the slope of the two-line Segment that is AB and A'B' are the same.
Slope of A'B'= -1
Length of Line segment C'B'= 1.8 × CB
So, the slope of the two lines that is CB and C'B' are the same.
The slope of B'C' is 1.
Hence, The required slope of B'C' is 1.
For more details Slope refer to the link given below.
https://brainly.com/question/8102490
Answer:
Slope of 1
Step-by-step explanation:
C. 1
Judah worked at the bakery for 14 hours last week. He spent $12 of his earnings on a cake for his father’s birthday. If he was left with $86 after buying the cake, what is Judah’s hourly wage?
$6.14
$7.00
$8.00
$9.63
Answers
Answer:
$7.00
Step-by-step explanation:
$86+$12=$98
$98÷14=7
$86+12=$98
$98 earn last week
Total $ earn divide by total hours work
$98/14=$7
Judah’s hourly wage was $7.
What set of transformations could be applied to rectangle ABCD to create A″B″C″D″?
'Rectangle formed by ordered pairs A at negative 4, 2, B at negative 4, 1, C at negative 1, 1, D at negative 1, 2. The second rectangle is formed by ordered pairs A double prime at 2, negative 4, B double prime 1, negative 4, C double prime at 1, negative 1, D double prime at 2, negative 1.
A) Reflected over the x-axis and rotated 180°
B) Reflected over the y-axis and rotated 180°
C) Reflected over the x-axis and rotated 90° counterclockwise
D) Reflected over the y-axis and rotated 90° counterclockwise
Answers
Answer:
C) Reflected over the x-axis and rotated 90° counterclockwise
Step-by-step explanation:
Answer: Reflected over the x-axis and rotated 90° counterclockwise
Step-by-step explanation:
Took the test!
-10x + y = 4
help i need the steps on how to solve this pls
Answers
Answer:
slope = -10
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-10*x-y-(4)=0
1.1 Pull out like factors :
-10x - y - 4 = -1 • (10x + y + 4)
2.1 Solve -10x-y-4 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y-axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -10x-y-4 = 0 and calculate its properties
Notice that when x = 0 the value of y is 4/-1 so this line "cuts" the y axis at y=-4.00000
y-intercept = 4/-1 = -4.00000
When y = 0 the value of x is 2/-5 Our line, therefore "cuts" the x-axis at x=-0.40000
x-intercept = 4/-10 = 2/-5 = -0.40000
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -4.000 and for x=2.000, the value of y is -24.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -24.000 - (-4.000) = -20.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -10
i hope this helps
Answer:
-10x+ y=4
-10x+y-4=0
10x-y+4=0
FAM I NEED YOU HELP POR FAVOR:
You purchase two bottles of sunscreen and a hat. The hat costs $6.50. You pay 6% sales tax. You pay a total of $16.43. How much does one bottle of sunscreen cost?
Answers
Answer:
I got you fam dont worry
Step-by-step explanation:
if you want me to show my work I dont mind at all but the answer is 4.50
Samir works at a carpet warehouse and is paid a 4% commission on his sales. in November, he sold $9455 of carpet. How much did Samir earn in commission for November?
Answers
Answer:
$378.20
Step-by-step explanation:
9455 * .04 = $378.20
Help!! NO SPAM!!!! I will mark brainliest. A phone banking password consists of 2 letters followed by 4 digits. The letters B and X are not used, and the last digit cannot be 0. How many different passwords are possible?
Answers
In this exercise we have to use the combination knowledge to calculate the different possibilities, so we have to:
5184000 possible ways
in this way, when we deal with possibilities it is the same as talking about multiplication, so we have that:
[tex]24*24*10*10*10*9=5184000[/tex]
See more about possibilites at brainly.com/question/488013
Will give brainly,5 stars,and thanks
Answers
Answer:
Give the person above me brainliest
Step-by-step explanation:
Write all the factors of 9 . Use commas to separate them.rtth
Answers
Answer:
1, 3, 9
Step-by-step explanation:
the nine can be divided by those three numbers and no more
Answer:
1,3,9
Step-by-step explanation:
please answer, thank you in advance to whoever does !!!!
Answers
Answer:
B
Step-by-step explanation:
Move it down 3 units, then rotate it.
Is squirrel?
??????????????????????????????????????????????????????????????????????????????????
Answers
Answer: yes squirrel is ?????
PLZ HELP!! I will give points!
Answers
Answer:
a is -2,1 b is -3,3 c is -1,3
Step-by-step explanation:
b) the difference between three and x
Math
Answers
Answer:
3 - x
Step-by-step explanation:
In math, "the difference between A and B" usually means ...
A - B
In English, it often means ...
|A - B| . . . . the positive difference
__
"The difference between 3 and x" can be written as the expression ...
3 - x
What is the percent of change from 46 to 69?
Answers
Answer:
percent of change =0.5
Step-by-step explanation:
x1=46 x2=69
(x2-x1) / x1
69-46 = 23 / 46 = 0.5
The price of an item yesterday was $140 Today, the price rose to $322 Find the percentage increase.
Answers
Answer:
130% increase
Step-by-step explanation:
(322-140)/140(100)=130% increase.
(you set the final price on top, and original price in the denominator, and x/100 is the rate of increase)
cross multiply, and you get 130%.
assume that a procedure yields a geometric distribution where the probability of success is 90%. use the geometric probability formula to find the probability that the first success occurs on the second trial.
0%
4%
5%
9%
Answers
The final answer is 9 percent
Plz help with this question.If can't do it don't answer.
Answers
Answer:
the total surface area of this triangular prism is 976cm2
Answer:
i think TSA = 976 cm²
Step-by-step explanation:
TSA = 2(1/2×14×24) + (14+25+25)×10
TSA = 2(7×24)+(64×10)
TSA = 336+640
TSA = 976 cm²
What is the slope of the line
Answers
I need help plzzzzz!!!!!!!!
Answers
Answer:
100.73
Step-by-step explanation:
Area of Rectangle=140
Area of Semi-Circle=39.27
Area of Rectangle-Area of Semi-Cirlce=100.73
Five Times the difference of a number and three is less than twice the number.
find the numbers?
Answers
Answer:
The number is 5
Step-by-step explanation:
5(x - 3) < 2x
5x - 15 < 2x
-15 < -3x
5 > x
Answer:
It can be any negative number
Step-by-step explanation:
5(x - 3) < x
x = -1
5( -4) < -1
-20 < -1
You can do this with any negative number
Is (x+2) a factor of f(x) = x3-7x2+2x-8? Use either remainder theorem to explain your reasoning
Answers
Answer:
No
Step-by-step explanation:
If (x + h) is a factor of f(x) then f(- h) = 0
Here (x + 2) with h = - 2 , then
f(- 2) = (- 2)³ - 7(- 2)² + 2(- 2) - 8
= - 8 - 7(4) - 4 - 8
= - 8 - 28 - 12
= - 48
Since f(- 2) ≠ 0 then (x + 2) is not a factor of f(x)