Answer: f ^− 1 ( x ) = x /7+ 9/ 7
Step-by-step explanation:
Replace f ( x ) with y .
y = 7 x− 9
Interchange the variables.
x = 7 y − 9
solve for y
y = x/ 7 + 9 /7
Solve for y and replace with f ^− 1 ( x ) .
f ^− 1 ( x ) = x /7+ 9/ 7
Should it matter if areas far from large cities lose population?
Answer:
It should.
Step-by-step explanation:
If a nearby city is losing people then the large city should try to help.
Which of the following statements are FALSE when identifying the type of slope of a line.
A Positive slope increases from left to right.
B Negative slope decreases from left to right.
C Undefined slope is when there is no vertical change.
D No or Zero slope is a horizontal line.
Answer: Choice C) Undefined slope is when there is no vertical change
If you replace "vertical" with "horizontal", then choice C would be a true statement. All vertical lines have an undefined slope.
This is because the slope formula
m = (y2-y1)/(x2-x1)
has 0 in the denominator when you subtract the x coordinates. Dividing by zero is undefined. For any single vertical line, the x coordinates of any two points are the same. For instance, the vertical line through 4 on the x axis is the equation x = 4, and every point on this line has x coordinate 4.
How many terms are in the expression 76-3a + 4b + 5a?
Answer:
4
Step-by-step explanation:
In Algebra a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs
Dale's Auto shop wash earns revenues of $8 per customer. After serving 4 customers, how much revenue will Dale's Auto Wash have?
For a given recipe, 6 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 16 cups of flour are used?
Answer:
32 cups
Step-by-step explanation:
hope this helps plz mark brainliest
Rachel earned $ 34 $34dollar sign, 34 in 4 44 hours at her job today. She wants to know how much she could earn ( e ) (e)left parenthesis, e, right parenthesis tomorrow if she works 10 1010 hours at the same hourly rate. How much will Rachel earn in 10 1010 hours? $
Answer:
Rachel earn $85 in 10 hours.
Step-by-step explanation:
Rachel earned $34 in 4 hours at her job today. It means we can find his earning in 1 hour.
1 hour = $(34/4)
= $8.5
He earns $8.5 in an hour.
To find his earning in 10 hours, multiply $8.5 by 10. So,
Earning = $8.5 × 10
= $85
Hence, Rachel earn $85 in 10 hours.
Answer:
85
Step-by-step explanation:
I am right
66°
OT 6
11
12/13
Find the measure of the angle
The amount of fuel remaining in a gas grill is a function of the number of hours, h that the grill has been used. This relationship can be expressed by the function below. F(h) = 100 - 2h Determine and represent the domain of this function for the problem situation using inequality notation.
Given:
The amount of fuel remaining in a gas grill is a function of the number of hours.
[tex]F(h)=100-2h[/tex]
To find:
The domain for this situation.
Solution:
Domain is the set of input values.
The amount of fuel remaining in a gas grill F(h) is
[tex]F(h)=100-2h[/tex]
where, h is the number of hours.
Here, domain is the set of all possible values of h.
We know that, time and remaining fuel cannot be negative. So,
[tex]h\geq 0[/tex] ...(i)
[tex]F(h)\geq 0[/tex]
[tex]100-2h\geq 0[/tex]
[tex]100\geq 2h[/tex]
[tex]50\geq h[/tex] ...(ii)
Using (i) and (ii), we get
[tex]0\leq h\leq 50[/tex]
Therefore, the domain of the given function is [tex]0\leq h\leq 50[/tex].
Solve the following system of equations algebraically:
y = 4x^2 + 17x + 14
y = 2x + 5
Answer:
When x = -3 y = -1
When x = -3/4 y = 7/2
Step-by-step explanation:
y = 4x^2 + 17x + 14
y = 2x + 5
Set each equation equal to each other
4x^2 + 17x + 14 = 2x + 5
Subtract 2x from each side
4x^2 + 17x-2x + 14 = 2x-2x + 5
4x^2 + 15x + 14 = 5
Subtract 5 from each side
4x^2 + 15x + 14-5 = 5-5
4x^2 + 15x +9 = 0
Factor
(4x+3) ( x+3) =0
Using the zero product property
4x+3 =0 x+3 =0
4x = -3 x=-3
x = -3/4 x=-3
Now we need to find y for each x
x =-3 y = 2x+5 =2(-3)+5 = -6+5 = -1
When x = -3 y = -1
x = -3/4 y = 2(-3/4) +5 = -3/2 +5 = 7/2
When x = -3/4 y = 7/2
Can function notations be simplified?
I was working on this equation: f(x) = -6/9x + 300
I was wondering if I can convert the fraction ‘-6/9’ into ‘-2/3’?
Step-by-step explanation:
it's not same but u can find your answer through it
Can someone please help me I need help
Answer:
8 in
Step-by-step explanation:
Step 1: Define
A = 56
b = 7
A = bh
Step 2: Find h
h = A/b
h = 56/7
h = 8
Answer:
h= 8 inches
Step-by-step explanation:
A= bh; b= 7 inches; Area= 56 inches squared
56= 7h
56/7 = 7h/7
h= 8 inches
hope this helps!
Solve for x:
7x-99+ 2x+1
please helpppp
Answer:
x = 20
Step-by-step explanation:
7x - 99 = 2x + 1 (vertically opposite angles are equal)
Rearrange
5x = 100
x = 20
expand 2t(6t-3) please
Two different linear functions are shown below with two points given from each function Use slope-intercept form Function A has The equation of line A is or point-slope form to find the equation of each.
Linear Function A
Points : (-5, -2), (-5, 7)
Linear Function B
Points : (7, -5), (-2, -5)
Which is true about the following:
1. Function A has...
A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope
2. The equation of line A is :
A: X= -5
B: Y= -5
C: X= -2
D Y= 7
Function B has...
A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope
The equation of Line B is :
A: X= -5
B: Y= -5
C: X= -2
D: Y= 7
Answer:
This answer is option 1
Step-by-step explanation:
The awnser is No slope,x=-5,A slope of 0,and y=-5
describe the shape of the cross section formed by the intersection of the plane and the solid
Answer:
What are the Answers?
Step-by-step explanation:
Rectangle is the shape of the cross section formed by the intersection of the plane and the solid.
If a plane intersects a cylinder in a perpendicular manner, such that the plane is parallel to one of the bases of the cylinder, the resulting cross-section will be a rectangle.
The rectangle's dimensions will depend on the dimensions of the cylinder and the specific position of the plane within the cylinder.
The length of the rectangle will be equal to the circumference of the cylinder, and the width will be equal to the height or the diameter of the cylinder.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
Find x if mZPHI = 150º,
mZGHI = 15x – 5, and mZGHP = x + 13
Roberto has run the first 16 miles of a race, means he is 72% finished. How long is the race?
Answer:
22.22222222
Step-by-step explanation:
Answer:
the race is 22 miles long.
Step-by-step explanation:
p %
~~ = ~~
w 100
Which of these is most likely to form a normal distribution?
10 dice rolled 100 times
10 dice rolled 1 times
10 dice rolled 1000 times
010 dice rolled 10 times
Answer: a distribution with a known shape and other properties.
Step-by-step explanation: 10 dice rolled 1000 times
Answer:is below
Step-by-step explanation:
10 dice rolled 100 times
PARTA
☺
It takes Mrs. Miklos 5 minutes to grade 7 quizzes. At this rate, how many quizzes can she grade in 15 minutes?
Answer:
21 quizzes
Step-by-step explanation:
Divide 15 by 5 to know how many 5 minutes are in 15 minutes.
[tex]15 \div 5 = 3[/tex]
5 minutes are spent for 7 quizzes.
5 × 3 minutes are spent for 7 × 3 quizzes.
[tex]7 \times 3 = 21[/tex]
Mrs. Miklos can grade 21 quizzes in 15 minutes.
20 points!!
(5x-19)^2 < (x-23)^2
please someone help me with this inequality :c
Answer:
[tex]x (-1,7)[/tex]
Step-by-step explanation:
We need to square a binomial.
The following rule is applied:
[tex](5x)^2+2*5x(-19)+(-19)^2<x^2+2x(-23)+(-23)^2[/tex]
In our example,
[tex]A^2+2AB+B^2=(A+B)^2[/tex]
A is equal to 5x,
B is equal to -19 and
N is equal to 2.
[tex]5^2*x^2-2*5x*19+19^2<x^2x-23+23^2[/tex]
8) On Tuesday Heather bought six hats. On
Wednesday half of all the hats that she had
were destroyed. On Thursday there were
only 19 left. How many did she have on
Monday?
PLS HELP
Answer: On Monday, Heather had 32 hats.
Step-by-step explanation: After Heather bought six hats on Tuesday, she had double the amount of 19, since half of her hats were destroyed on Wednesday resulting in 19 left. Double of 19 is 38 hats, meaning she had 38 after she bought six on Tuesday. That means on Monday she had 38 - 6 = 32.
you are planning a party for 12 people and you purchase 4 bags of candy.If you have a party for 21 people,how many bags of candy should you purchase
Answer:
7
Step-by-step explanation:
one bag of candy for every three people
12 ÷ 4 = 3
21 ÷ 7 = 3
Answer:
7
Step-by-step explanation:
Apply proportions:
People/bag of candy
[tex]\frac{12}{4}[/tex]
For 21 people
[tex]\frac{21}{x}[/tex]
Equal both expressions
[tex]\frac{12}{4} =\frac{21}{x}[/tex]
Solve for x:
[tex]x=21\frac{12}{4} \\x= \frac{21}{3} \\x=7[/tex]
You should purchase 7 bags of candy
You and five friends are going to see a movie it’s a movie ticket cost eight dollars complete the equation to show
Answer:
the answer would be $45
Step-by-step explanation:
A truck can be rented from Company A for $60 a day plus $0.20 per mile. Company B charges $20 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
So this isn't a answer:
This is to help you understand how to do it in the future.
So we are going to let HOW MANY MILES GO BY be represented as (m)
Company A
60 + (m + .20) = final cost
Company B
20 + (m + .60) = final cost
Now you have to plug in numbers till you get your total miles left.
Have a good Day!!
Regal Cinemas sold a total of 8500 movie tickets. Proceeds totaled $64,600. Tickets can be bought in one of 3 ways: a matinee admission cost $5, student's admission is $6 all day, and regular admission are $8.50. How many matinee tickets were sold if twice as many student tickets were sold as matinee tickets? * Only type the number of matinee tickets that were sold
Answer:
900
Step-by-step explanation:
From the information given you can write the following equations:
x+y+z=8500 (1)
5x+6y+8.50z=64600 (2)
y=2x (3)
First, you can replace (3) in (2) and (1):
x+2x+z=8500
3x+z= 8500 (4)
5x+6(2x)+8.50z=64600
5x+12x+8.50z=64600
17x+8.50z=64600 (5)
Now, you have two equations:
3x+z= 8500 (4)
17x+8.50z=64600 (5)
Then, you can isolate z in (4):
z=8500-3x (6)
Next, you can replace (6) in (5):
17x+8.50(8500-3x)=64600
17x+72250-25.5x=64600
7650=8.5x
x=7650/8.5
x=900
You can replace the value of x in (3) to find y:
y=2x
y=2*900
y=1800
Finally, you can replace the value of x in (6) to find z:
z=8500-3(900)
z=8500-2700
z=5800
According to this, the answer is that 900 matinee tickets were sold.
A cargo helicopter delivers only 100100100-pound packages and 120120120-pound packages. For each delivery trip, the helicopter must carry at least 101010 packages, and the total weight of the packages can be at most 1{,}1001,1001, comma, 100 pounds. What is the maximum number of 120120120-pound packages that the helicopter can carry per trip?
Answer:
5
Step-by-step explanation:
Given that:
Weight of package delivered = 100 - 120 pounds
Number of packages carried per trip is atleast 10 = ≥ 10
Total weight of packages must be at most 1,100 ≤1,100
The maximum number of 120 pound packages the helicopter can carry:
Maximum capacity = 1100 pounds
Number of packages ≥ 10
Let number of 110 packages carried = x
Number of 120 packages carried = y
x + y ≥ 10 - - (1)
100x + 120y ≤ 1100 - - - (2)
From (1): x ≥ 10 - y
100(10 - y) + 120y ≤ 1100
1000 - 100y + 120y ≤ 1100
1000 + 20y ≤ 1100
20y ≤ 1100 - 1000
20y ≤ 100
y = 5
y = number of 120 pound packages carried
y = 5
Answer:
5
Step-by-step explanation:
Let
x = number of 100 pound packages
y = number of 120 pound packages.
For each delivery trip, the helicopter must carry at least 10 packages.
x + y ≥ 10
x ≥ 10 - y
Total weight of the packages the helicopter can deliver can be at most 1,100 pounds
100x + 120y ≤ 1100
Divide through by 20
5x + 6y ≤ 55
Substitute x ≥ 10 - y into the equation
5(10 - y ) + 6y ≤ 55
50 - 5y + 6y ≤ 55
y ≤ 55 - 50
y ≤ 5
Therefore, the maximum number of 120 pound packages helicopter can carry is 5.
Is 25 x 10 to the power of 0 in scientific notation? If not, explain. Use pencil and paper. Explain why 10 is used as the base in the second scientific notation factor.
Answer:
a) Scientific notation is written as a unit digit, that can have other digits after the decimal place, multiplied by 10 to the power of n, where n can be any integer number.
Then 25x10^0 is not scientific notation, because there are two digits at the left of the decimal point.
The scientific notation would be:
2.5x10^1
b) Why is this useful?
Because we divide all our measures in powers of 10.
For example, you know that 1 meter = 100c
But we can also write this as:
1m = 1.0*10^3 cm.
The use of scientific notation comes useful because we can have a fast read of the dimensions of our measure, and in another hand, is way easier work with the 10 as a base when we solve equations.
solve for x 2x+ 20
66
Answer:
x = 23
Step-by-step explanation:
Alternate exterior angles are congruent if a and b are parallel
2x + 20 = 66
2x = 46
x = 23
Hope this helped!
4x+1=x-5 slove for x
Answer:
x = −2
Step-by-step explanation:
4x + 1 = x − 5
Subtract 1 from both sides
4x + 1 − 1 = x − 5 − 1
Simplify
4x = x − 6
Subtract x from both sides
4x −x = x − 6 − x
Simplify
3x = −6
Divide both sides by 3
[tex]{\frac{3x}{3}[/tex]=[tex]\frac{-6}{3}[/tex]
Simplify
x = −2
Which ordered pairs make both inequalities true? Select two options.
15142
y 231+1
Answer: The points C(1,2) and E(2,2) make both inequalities true
Step-by-step explanation:
we have
-----> inequality A
The solution of the inequality A is the shaded area below the dashed line
------> inequality B
The solution of the inequality B is the shaded area above the solid line
The solution of the system of inequalities is the shaded area between the dashed line and the solid line
see the attached figure
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities and the point lie on the shaded area of the solution
Plot the points and verify if lie on the shaded area
Let
see the attached figure
The points C(1,2) and E(2,2) lie on the shaded area
The points A(-1,3) and B(0,2) satisfy inequality B but don't satisfy inequality A
The point D(2,-1) satisfy inequality A but don't satisfy inequality B
therefore
The points C(1,2) and E(2,2) make both inequalities true