Answer:
x = 8
Step-by-step explanation:
Given the initial fee of $5.00, and the additional cost of $2.50 for every mile the taxi drives:
We can establish the following cost function:
C(x) = 2.50x + 5.00
Where:
C(x) = total cost of taxi fare (same as the variable, "y" in linear equation)
x = number of miles driven
$5.00 = initial or flat fee (same as the y-intercept, "b," in linear equation).
We can find out the number of x miles the taxi drove for the $25.00 total cost that Justin paid for the fare:
C(x) = 2.50x + 5.00
$25 = 2.50x + 5.00
Subtract 5.00 from both sides of the equation:
$25 - 5.00 = 2.50x + 5.00 - 5.00
$20 = 2.50x
Divide both sides by 2.50 to solve for x:
[tex]\frac{20}{2.50} = \frac{2.50x}{2.50}[/tex]
8 = x
Justin spent $25 for a taxi ride that travelled for 8 miles.
The graph of linear function k passes through the points (-3, 0) and (1, 8). Which statement must be true?
A. The x-Intercept of the graph of k is 8.
B. The slope of the graph of k is 2.
C. The graph of k passes through (-1, -8).
D. The zero of k is 3.
Fr someone help me
Answer:
B. The slope of the graph of k is 2.Step-by-step explanation:
Find the equation of the line.The slope is:
m = (8 - 0)/(1 + 3) = 2The y-intercept is:
0 = -3*2 + bb = 6The line is:
y = 2x + 6Now lets look at the answer optionsA. The x-Intercept of the graph of k is 8.
The x- intercept is -3, FalseB. The slope of the graph of k is 2.
m = 2, TrueC. The graph of k passes through (-1, -8).
-8 = 2(-1) + 6-8 = 4, FalseD. The zero of k is 3.
x = 0 ⇒ y = 0+ 6 = 6, FalseThe slope of the graph of k is 2.
The correct statement is B.
Given that the graph of linear function k passes through the points (-3, 0) and (1, 8).
We need to check which option is correct.
To determine the correct statement, let's first find the equation of the linear function k using the given points (-3, 0) and (1, 8).
The slope of a linear function is given by:
slope = (change in y) / (change in x)
Using the points (-3, 0) and (1, 8):
slope = (8 - 0) / (1 - (-3))
slope = 8 / 4
slope = 2
So, the slope of the graph of k is 2.
Now we can write the equation of the linear function using the slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.
Using the point (1, 8):
8 = 2 × 1 + b
8 = 2 + b
b = 8 - 2
b = 6
Now, the equation of the linear function k is:
y = 2x + 6
Now, let's evaluate the given statements:
A. The x-Intercept of the graph of k is 8.
To find the x-intercept, we set y = 0 and solve for x:
0 = 2x + 6
2x = -6
x = -3
The x-intercept is -3, not 8. So statement A is false.
B. The slope of the graph of k is 2.
We already found earlier that the slope of k is 2. So statement B is true.
C. The graph of k passes through (-1, -8).
Let's check if (-1, -8) satisfies the equation of k:
-8 = 2 × (-1) + 6
-8 = -2 + 6
-8 = 4
The equation is not satisfied, so statement C is false.
D. The zero of k is 3.
To find the zero of k (the x-value where y = 0), we set y = 0 and solve for x:
0 = 2x + 6
2x = -6
x = -3
The zero of k is -3, not 3. So statement D is false.
In conclusion:
Statement A is false.
Statement B is true.
Statement C is false.
Statement D is false.
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WHat is the square root of 76?
Answer:
It is 8.72 if it needs to be rounded up. If not, it is 8.71779788708
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Answer:
11
Step-by-step explanation:
A=8x+8
B=8x-4
A+B=180 degrees
therefore,
8x+8+8x-4=180
16x+4=180
16x=176
x=176/16=11
Hope it helps
Pls mark as brainliest
What is the slope of the line x = -2?
Answer:
Since x=−2 is a vertical line, there is no y-intercept and the slope is undefined.
Step-by-step explanation:
Solve for the value of y
-7(w+4) +2w - 15 simplify
Answer:
w=-8.6 is your answer
-5w-43. is the simple version
Step-by-step explanation:
First distrubute the -7 and set equal to 0 so that we can move the w to the other side.
-7w-28+2w-15=0
-5w-43=0
add 43 to both sides so you can slove for w
-5w=43
divide both sides by -5 to isolate the w
w=-8.6
If <1 and <2 are complementary angles, and m<1 = 74", find m<2
what’s the answer?
Answer:
m<2=16
Step-by-step explanation:
How much time is between 9:25am then return home at 7 :10pm
Answer: the answer is 9 hours 45 minutes
Subtract and write your answer as a mixed number 9 4/5 - 7 1/2
5. The volume of a cube is 125 cubic centimeters. How many centimeters long iseach edge of the cube?5 centimeters11 centimeters15 centimeters42 centimeters
Answer: 5 cm
Step-by-step explanation:
A cube means all sides have an equal length. therefore you need to find what number times itself 3 times will equal 125
to do this you can also do the cube root(∛) of 125 which will give you 5 cm
to verify your answer, simply do 5 x 5 x 5 which is 125
I just did the problem -(-8) -(-2) and i think the answer is 12. am i right
Answer:
I got 10 as the answer
Step-by-step explanation:
-(-8)-(-2)
8-(-2)
8+2
10
Answer:
is it -(-8) -(-2) or
(-8) -(-2) cause
I think you can use a number line which comes to a +6
An athlete drinks 448 ounces of water in 7 days. If the athlete drinks the same amount of water each day, how many ounces does the athlete drink in 1 day?
Answer:
64 ounces
Step-by-step explanation:
Divide the total number of ounces by the number of days.
448 / 7 = 64 ounces
divide 3x^3 -2x^2 -61x -20 by x-5
Given the function g ( x ) = x 2 + 10 x + 20 g(x)=x 2 +10x+20, determine the average rate of change of the function over the interval − 9 ≤ x ≤ − 3 −9≤x≤−3.
Step-by-step explanation:
the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
so,
(g(-3) - g(-9)) / (-3 - -9)
g(-3) = (-3)² + 10×-3 + 20 = 9 - 30 + 20 = -1
g(-9) = (-9)² + 10×-9 + 20 = 81 - 90 + 20 = 11
-3 - -9 = -3 + 9 = 6
(-1 - 11) / 6
-12/6 = -2
the average change rate in this interval is -2 (or fully -2/1).
Ronald wanted an allowance. his father gave him a choice of getting it on a weekly or on a daily basis. He said he would either pay him $1.25 a week or pay him in the following manner for a week: On Monday he would give him $0.01; On Tuesday $0.02; On Wednesday $0.04 and on through Sunday. What would you tell Ronald to do so he can get more allowance?
Step-by-step explanation:
Well the addition of ($0.01+$0.02+$0.04) would be $0.07
And he since he can get $1.25 a week if he chose the weekly option
Since $1.25>$0.07
I would tell Ronald to choose the weekly option for getting more allowance.
What is the solution to the equation?
-6x - 3 = 21
Answer:
x = -4
Step-by-step explanation:
−6 − 3 = 21
−6 − 3 + 3 = 21 + 3
= −4
The solution to the equation -6x - 3 = 21 is x = -4.
We must separate the variable x on one side of the equation in order to determine the answer to the equation -6x - 3 = 21.
Here's how to accomplish that:
Step 1: Add 3 to both sides of the equation to start moving the constant term (in this example, -3), which is the first step:
-6x - 3 + 3 = 21 + 3
To put it simply, we have:
-6x = 24
Step 2: Subtract -6 from both sides of the equation to find the value of x:
(-6x) / -6 = 24 / -6
This can be written as x = -4.
Consequently, x = -4 is the answer.
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5x+3x-6=6x+12 what is the answer
Answer:
x=9
Step-by-step explanation:
1. Combine like terms
2. Add 6 to both sides
3. Simplify
Write each power as repeated
multiplication. Calculate.
a) 25 c) 106 e) 1.22
b) 253 d) 34 f) 0.42
Answer:
a) 2⁵ = 2×2×2×2×2
b) 25³ = 25×25×25
c) 10⁶ = 10×10×10×10×10×10
d) 3⁴ = 3×3×3×3
e) 1.2² =1.2×1.2
f) 0.4²=0.4×0.4
Step-by-step explanation:
A team of explorers on an expedition was interrupted by bad weather on 20% of the days. If the weather was bad for 45 days, what was the total number of days the team was on its mission?
Answer:
a total of 9 days
Step-by-step explanation:
20% of 45 is 9
answer
=9days
step by step explanation
20% is always over 100,so you are to do 20 over a hundred of 45 days....since 45 can't divide 100 do 20
[tex] \times [/tex]
45 divide by one hundred and the final answer will be 9
William is saving up to buy a new phone. He already has $23 and can save
an additional $8 per week using money from his after school job. How
much total money would William have after 10 weeks of saving? Also,
write an expression that represent the amount of money William have
saved in w weeks.
Step-by-step explanation:
current Amount of money 23
8x10=80
80+23=103
William will have 103$ after 10 weeks
Which of the following comparisons is NOT true?
A 5,125.5 > 5,125.081
B 617.07 > 617.058
C 15.88 < 15.98
DC 14,109 > 14,21
Answer:
.
Step-by-step explanation:
Answer:
D.) is not true, though you didn't finish the whole number we can see that 14,109 is not greater than 14,21(0)... I hope this helped.
Which two numbers have a negative sum?
Answer:
C
Step-by-step explanation:
convert the fractions to decimals
You and a friend are discussing how many sections you completed so far in algebra one you tell your friend I finish three times as many sections as you your friend replies you’ve only finished four more sections and I have how many sections have you and your friend completed
Answer:
4
Step-by-step explanation:
There are a total of 6 sections that have been completed by him and his friend.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the section be finished by one is y, and finished by his friend be x.
According to 1st condition,
y = 3x - - - - - (1)
According to the second condition,
y = 4 + x
From equation 1
3x = 4 + x
2x = 4
x = 2
Now,
y = 3x
y = 3 * 2
y = 6
Thus, there are a total of 6 sections that have been completed by him and his friend.
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Iv'e been stuck on this question pls help
buildings A and B are across the street from each other, 35m apart, from a point on the roof of building A the angle of elevation at the top of building B is 24 degrees, and the angle of depression of the base of building B is 34 degrees.how tall is each building?
Answer: Two buildings are 26.3m apart. From the top of the shorter building the angle of elevation to the top of the taller building is 35.9 degrees and b = 26.3 tan(54.7) = 26.3 1.412 = 37.145
Step-by-step explanation:
Kenya picked 18 flowers from her garden. If 3/5 of flowers in her garden remain unpicked, how many flowers are still in her garden?
Answer:
I think it's 27
Step-by-step explanation:
because if she picked 2/5 of the flowers if u divide 18 by 2 u get 9 so that's 1/5 I think and then if u times that by 3 u get 27 and like that's the 3/5
2 3/5 x 1 3/7=
i need help
Answer:
26/7 or 3 5/7
Step-by-step explanation:
guys pls help me!!!!!!!
Your answer would be 154*. Reason being, if there are two parallel lines and a line running through them, you will only have 2 types of angles. The labeled 154* tells us that the angle to its right would be 26 degrees. Making line m = to 180 degrees at that angle. Then if you did the same thing with line t, you would get angle x to be equal to 154 degrees.
It is complicated like that, or as simple as just taking the 154 and saying that x has the same angle. Due to the fact that both angles are adjacent, they are the same.
you are playing a card game. if you pull an ace you win $26, if you pull the king of hearts you win $204, if you pull a jack or queen you win $13, all other pulls you lose. what price should you be charged to make this a fair game?
A. $5
B. $7
C. $8
D. $6
Answer:
The answer is 8$- Took the test
Step-by-step explanation:
A=D+qm, solve for q.........
Step-by-step explanation:
A=D+qm
qm = A - D
q =(A-D) /m
Answer:
q = (A - D)/m
Step-by-step explanation:
A = D + qm
A - D = qm
(A - D)/m = q
So, the solve for q is q = (A - D)/m