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Unit 6 Portfolio
Task 1:
Taxi Cab Company A: $8 per ride and $0.35 per mile
• Write an equation in slope intercept form to represent the cost of a
taxi ride using company A.
Hint: use y=mx+b
Y =
• What does the y-intercept mean in the context of this problem?
Hint: What do you pay to step into the cab?
The y intercept means that $8 must be paid to step into the cab.
A linear equation is of the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the total pay for x miles
Since $8 per ride and $0.35 per mile, hence the equation is:
y = 0.35x + 8
The y intercept means that $8 must be paid to step into the cab.
Find out more at: https://brainly.com/question/25453046
A linear function has the same y-intercept as x + 4y = 20 and its graph contains the
point (7, 7). Find the y-intercept of the linear function.
y-intercept: (0,___)
Answer:
(0,5)
Step-by-step explanation:
x + 4y = 20
4y = -x + 20
y = -1/4x + 5
The y - intercept of the line is 5
(0,5)
-Chetan K
What is the slope of the line?
3x-4y=73x−4y=7
Answer:
67x-7y2x-f8
Step-by-step explanation:
Pls help with the second one. Thank you to the person who helped me with the first one.
29 students made the honor roll on their first quarter report card this quarter there were 40 students who achieved at the server determine the percent of change and whether it is an increase or decrease
how do i do this pls explain the steps
Answer:
[tex]a^{\frac{15}{2} }[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
([tex]a^{\frac{1}{2} }[/tex] × a)^5
= [tex](a^{\frac{1}{2}+1) }[/tex]^5
= [tex](a^{\frac{3}{2}) } ^{5}[/tex]
= [tex]a^{\frac{15}{2} }[/tex]
The price of a computer was decreased by 30% to £147.
What was the price before the decrease?The price of a ring was increased by 9% to £1800. What was the price before the increase? Give your answer to the nearest penny.
Answer:
a) £210
b) £1651.38
Step-by-step explanation:
a)After the reduction, the price is 1 -30% = 0.70 of what it was.
0.7p = £147
p = £147/0.7 = £2.10 . . . price before decrease
__
b)After the increase, the price is 1 +9% = 1.09 of what it was.
p = £1800/1.09 ≈ £1651.38 . . . price before increase
What is the value of a if 5a = 1/125
(It’s not 1/625)
Please answer!!
Answer:
a = -3.
Step-by-step explanation:
5^a = 1/125
5^3 = 125
so 5^-3 = 1/125
Answer:
a = -3
Step-by-step explanation:
5^a = 1/125
Rewriting 1/125 as 1/5^3 = 5^-3
5^a = 5^-3
a = -3
please help me in questions 16 and 17 only and i’ll mark you as brainliest i promise
Answer:
16. Domain: [-3,5] and range : [-5,3]
17. Domain: [0,4] and range: [0,4]
what do i get for this Question a-b=18 find a and b
Your answer is A = 12.375 and B = 5.625.
what is? -6 = x + 6
this is one step equation addition / subtraction
[tex] \: \: \: \: \: [/tex]
x = - 12
refer to the attachment
refer to the attachmenthope it helps[tex]\sf \longmapsto-6 = x + 6[/tex]
Flip the equation[tex]\sf \longmapsto \: x+6=−6[/tex]
Subtract 6 from both sides[tex]\sf \longmapsto \: x+6−6=−6−6[/tex]
[tex]\sf \longmapsto \: x=−12[/tex]
[tex] \boxed{ \sf \: x=−12}[/tex]
Put the following numbers in order:
3.28, -4/5, -7.1, 0, 11/12, π, .889753, -4 1/3 help please!
In order of smallest to largest.
1) -7.1
2) -4 1/3
3) -4/5
4) .889753
5) 11/12
6) 0
7) π
8) 3.28
Ned rides his bike 6 miles to the store and 6 miles back. The graph shows the relationship between the distance Ned is from home at any time throughout his trip and the distance he spends riding the bike. Which statement is true about Ned's ride?
A. Ned's speed is constant for the entire ride from 0 to 90 minutes
B. Ned's speed is constant on the interval from 0 to 60 minutes.
C. Ned's speed between the interval from 20 to 40 minutes is the same as his speed over the interval 50 to 90 minutes.
D. Ned's speed over the interval from 20 to 40 minutes is faster than his speed over the interval from 0 to 20 minutes.
Answer:
The answer is D
Step-by-step explanation:
A cant be right because the graph isn't a straight line.
B cant be right because from 0 to 60 the graph the line goes at a(n) upward slope not a straight line.
Although the first part of question c is right, the second part is wrong. From 50-90 the ling goes at a downward slope via decreasing, which isn't equal like it said so question C is wrong.
So the correct answer is D
Find the perimeter. Simplify your answer.
Answer:
22w - 18
Step-by-step explanation:
To find the perimeter we have to add up all the sides
10w-10+w+1+10w-10+w+1
combine light terms
22w - 18 would be our answer
Brainliest please
Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit
earned at that price, y. Write a quadratic regression equation for this set of data,
rounding all coefficients to the nearest tenth. Using this equation, find the profit, to
the nearest dollar, for a selling price of 14.25 dollars.
Regression equations are used to represent the relationship between the x and y variables.
The quadratic regression equation is [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]The profit for a selling price of $14.25 is $812To determine the quadratic regression equation, we make use of a graphic calculator
Using a graphing calculator, we have the quadratic regression equation to be [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]
When the selling price is $14.25, it means that:
[tex]\mathbf{x = 14.25}[/tex]
So, we have:
[tex]\mathbf{y =-6.407 \times 14.25^2 +216.721 \times 14.25 -975.561}[/tex]
Evaluate the exponents
[tex]\mathbf{y =-6.407 \times 203.0625+216.721 \times 14.25 -975.561}[/tex]
Evaluate the products
[tex]\mathbf{y =-1301.0214375+3088.27425 -975.561}[/tex]
Evaluate like terms
[tex]\mathbf{y =811.6918125}[/tex]
Approximate to the nearest dollar
[tex]\mathbf{y =812}[/tex]
Hence, the profit for a selling price of $14.25 is $812
Read more about regression equations at:
https://brainly.com/question/7656407
Which statements about the function fare true? Check
all that apply.
The domain of f(x) is {all real numbers).
Answer:
see explanation
Step-by-step explanation:
The following statements are true
The domain of f(x) is all real numbers
The range of f(x) is all real numbers
f(2) = 4
locate x = 2 on the x- axis, go vertically up to meet the line at (2, 4 ) , then
f(2) = 4
5. Find the triangle similar to AABC at the right. Question 5
Answer:
b
Step-by-step explanation:
If you multiple each side by 3 then they will equal the numbers that b has
need help please and thank you!!
Answer:
x=125
Step-by-step explanation:
Since the sum of the angles is 720 degrees, you can set up the following equation:
120+100+120+120+x+(x+10)=720
2x+470=720
2x=250
x=125
(5a-ab) (2ay-by)
[tex] {2}^2( {2}^{4 - ?}5 {} ){?} [/tex]
Answer:
a = 0
b = 5
y = 0
Step-by-step explanation:
Help?
I tried : 3b^2(2b-1)(2b+1) and it was wrong ):
Answer:
b(3b−10)(b−1)
Step-by-step explanation:
b(3b−10)(b−1)
Please help me :) Im only giving brainliest to correct answers, and No LiNkS.
Gravity is measured in squares units..
Using the other units given, meters and seconds, gravity would be : meters per second squared
Answer:
meters per second
Step-by-step explanation:
1. A linear function can be represented by the equation y = 7x - 4. Identify the slope and y-intercept.
y-intercept:
Slope:
Hello!
Remember y=mx+b.
m is the slope and b is the y intercept.
So
the slope is 7 and the y intercept is 4.
Hope this helps!
~Just a felicitous teen
#CarryOnLearning
[tex]SIlentNature[/tex]
Answer:
slope: 7
y-intercept:4
Step-by-step explanation:
find the scale of each map: an actual distance of 50 km corresponds to 4 cm on the map.
Answer:
1 cm: 12.5 km
Step-by-step explanation:
Okay just find what the length of one cm equates to so
4/4=1
50/4=12.5
it's like making a unit measurement but yknow its scaling
so one cm (one unit in a way) equals 12.5 km.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!3
Answer:
B) y = 5x + 29
Step-by-step explanation:
A parallel line means it will have the same slope.
So far our equation looks like this: y = 5x + b
We will now plug in (-6, -1) to solve for b.
y = 5x + b
(-1) = 5(-6) + b
-1 = -30 + b
29 = b
So our answer is y = 5x + 29
This is option B
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
I 3) Give the steps you will use to separate the variable and the solve the equation.
a) у/3 = 4
b) Zn - 6 = 8
pls pls pls pls give step by step answer I will mark brainlist
(1)
Multiply both sides by 3
y = 4 * 3
Simplify 4 * 3 to 12
y = 12
(2)
There are two possibilities for both z & n.
Solving for z:
add 6 to both sides
2n = 8 + 6
simplify 8 + 6 to 14
zn = 14
divide both sides by n
z = 14/n
Solving for n:
add 6 to both sides
zn = 8 + 6
simplify 8 + 6 to 14
zn = 14
divide both sides by z
n = 14/z
The sides of a rectangle are 6.3 cm and 4.8cm, each correct to 1 decimal place.
Calculate the upper bound for the area of the rectangle.
Answer:
error= 0.1/2, 0.05
4.8 + 0.05 = 4.85
6.3 + 0.05 = 6.35
4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).
Step-by-step explanation:
74.88 is what percent of 72?
Answer:
104%
Step-by-step explanation:
what is the answere to 7 times 4/21
[tex] \Large{\boxed{\sf 7 \times \dfrac{4}{21} = \dfrac{4}{3}}} [/tex]
[tex] \\ [/tex]
Explanation:[tex] \blue{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \sf{\boxed{ \sf Multiplication \: of \: fractions \text{:}}}} \\ \\ \sf \dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d} \\ \\ \end{array}}\\\end{gathered} \end{gathered}} [/tex]
[tex] \\ [/tex]
[tex] \sf 7 \times \dfrac{4}{21} [/tex]
[tex] \\ [/tex]
First, write 7 as a fraction:
[tex] \\ [/tex]
[tex] \sf 7 \times \dfrac{4}{21} = \dfrac{7}{1} \times \dfrac{4}{21} [/tex]
[tex] \\ [/tex]
Then, identify the value of a, b, c, and d:
a = 7b = 1c = 4d = 21[tex] \\ [/tex]
We can finally find our answer:
[tex] \\ [/tex]
[tex] \sf \dfrac{7}{1} \times \dfrac{4}{21} = \dfrac{7 \times 4}{1 \times 21} = \dfrac{28}{21} [/tex]
[tex] \\ [/tex]
Let's simplify our answer:
[tex] \\ [/tex]
[tex] \sf \dfrac{28}{21} = \dfrac{4 \times 7}{4 \times 7} = \boxed{\boxed{\sf \dfrac{4}{3}}} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about the multiplication of two fractions here:
↦https://brainly.com/question/25774102
JoJo Seaweed walks at a constant rate of 8 ft in 2 s. The table shows the relationship of feet to seconds. What is the constant of proportionality for the relationship of feet to minutes? Record your answer on the grid. Then fill in the bubbles
Answer:
240 ft/min
Step-by-step explanation:
How many solutions does the equation have? 3(7x + 4 ) - 2x + 8 = 5x + 12
Answer:
One solution
Step-by-step explanation:
Well, let's find out by solving the equation for x and seeing how many possible values there are. Our answer could be no solution, one solution, or infinite solutions. So, let's get started by writing out our equation:
3(7x + 4 ) - 2x + 8 = 5x + 12
First, we'll distribute the 3 onto the values on the left:
3(7x) + 3(4) - 2x + 8 = 5x + 12
21x + 12 - 2x + 8 = 5x + 12
Now, we can combine like terms. They are underlined and boldfaced below:
21x + 12 - 2x + 8 = 5x + 12
21x - 2x + 12 + 8 = 5x + 12
19x + 20 = 5x + 12
Next, let's take away 5x from both sides:
19x - 5x + 20 = 5x - 5x + 12
14x + 20 = 12
Finally, we'll subtract 20 from both sides:
14x + 20 - 20 = 12 - 20
14x = -8
Now, all we have to do is divide both sides by 14.
14x/4 = -8/14
x = -4/7
It looks like there is only one solution for x: -4/7. Hopefully that's helpful!