Answer:
[tex]y=\frac{5}{2}x-14[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope1) Determine the slope (m)
[tex]y=\frac{5}{2}x-10[/tex]
In the given equation, [tex]\frac{5}{2}[/tex] is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of [tex]\frac{5}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{5}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{5}{2}x+b[/tex]
Plug in the given point (-6,-29) and solve for b
[tex]-29=\frac{5}{2}(-6)+b[/tex]
Simplify -6 and 2
[tex]-29=\frac{5}{1}(-3)+b\\-29=(5)}(-3)+b\\-29=-15+b[/tex]
Add 15 to both sides to isolate b
[tex]-29+15=-15+b+15\\-14=b[/tex]
Therefore, the y-intercept is -14. Plug this back into [tex]y=\frac{5}{2}x+b[/tex]:
[tex]y=\frac{5}{2}x-14[/tex]
I hope this helps!
he speeds (in MPH) of automobiles traveling in a city are given below:
20, 35, 42, 52, 65, 49, 24, 37, 23, 41, 50, 58
The mean speed of the cars is
Answer:
Mean speed = 41.3 mph
Step-by-step explanation:
Given that,
The speeds of an automobiles are given below:
20, 35, 42, 52, 65, 49, 24, 37, 23, 41, 50, 58
We need to find the mean speed of the cars.
Mean = sum of observations/ no. of observation
[tex]M=\dfrac{20+35+42+52+65+49+24+37+23+41+50+58}{12}\\\\M=41.3[/tex]
So, the mean speed of the cars is equal to 41.3 mph.
Suppose that g(x)= f(x)+ 6. Which statement best compares the graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) shifted 6 units down.
B. The graph of g(x) is the graph of f(x) shifted to the right.
C. The graph of g(x) is the graph of f(x) shifted 6 units to the left.
D. The graph of g(x) is the graph of f(x) shifted 6 units up.
Answer:
D
Step-by-step explanation:
The + 6 moves it up 6 units.
The correct answer is (D) "The graph of g(x) is the graph of f(x) shifted 6 units up."
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
When we add a constant to a function, such as in the case of g(x) = f(x) + 6, it will shift the graph of f(x) upward by 6 units.
This is because, for any value of x, the value of f(x) will be added to 6, resulting in a vertical shift of the entire graph.
Option (A) is incorrect because adding 6 to f(x) would shift the graph up, not down.
Option (B) is incorrect because adding a constant to a function does not cause it to shift horizontally.
Option (C) is incorrect because adding 6 to f(x) would shift the graph right, not left.
D. The graph of g(x) is the graph of f(x) shifted 6 units up. Adding a constant term to a function will shift the graph of the function vertically. In this case, adding 6 to f(x) will shift the graph of f(x) upward by 6 units, resulting in the graph of g(x).
Learn more about function here:
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what is 2+2+3+3+5+6
Answer:
21
Step-by-step explanation:
21
21
21
Answer:
Simple addition the answer is 21.
I have 8 carrots my Brother Ate 2
How Much I have left?
Answer:
6?Step-by-step explanation:
..........................
i need to see the steps for simplifying 3(m-5)+m
Answer:
4m - 15
Step-by-step explanation:
a( x + y) = ax + ay
[tex]3( m - 5 ) + m\\\\3m - 15 + m \\\\4m - 15[/tex]
Answer:
4m-15
Step-by-step explanation:
Distrubite 3 through the parentheisis
3m-15+m
Collect like terms
4m-15
Planes A and B intersect.
Which describes the intersection of line m and line n?
P
m
2
O point w
O point X
Opoint Y
point Z
.
n2
X
Y
W
k
.
V
2
-
Answer:
I think about point Y ......
If planes A and B intersect, point w describes the intersection of line m and line n.
What is Coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements.
In the given figure, the planes A and B intersected.
We have to find the point where the line l and line m intersects.
The intersection of a line and a line can be the empty set, a point, or another line.
Two straight lines will intersect at a point if they are not parallel.
The point of intersection is the meeting point of two straight lines.
The lines m and line n are intersected at the point w.
Hence, if planes A and B intersect, point w describes the intersection of line m and line n.
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A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tanB, sin B, and cos B. (WORK INCLUDED GIVING BRAINLEST TO BEST ANSWER)
9514 1404 393
Answer:
tan(B) = 12/5sin(B) = 12/13cos(B) = 5/13Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships.
Sin = Opposite/Hypotenuse ⇒ sin(B) = 12/13
Cos = Adjacent/Hypotenuse ⇒ cos(B) = 5/13
Tan = Opposite/Adjacent ⇒ tan(B) = 12/5
Hi if you have a 65% grade can a 80% bring it up to a C 70%
Answer:
Not a 70%, but a 72.5% (or a 73%)
Step-by-step explanation:
Assuming that the 65% is the first grade and the 80% is your second, adding both numbers and dividing by 2 will get you 72.5%.
The best possible grade you can get from that 65% is an 82.5%, or 83% if you round the grade up. 100+65=165÷2 will get you 82.5.
A person walks 1/6 mile in 1/18 hour.
The person's speed is _ miles per hour.
This Is What I Got!
Hope This Helps! :)
Have A Good Day!!
And If You Can I Wouldn't Mind A Brainliest! :))
Answer:
Divide 1/6 miles to 1/12hour since u wanna find our miles per hour
So it’ll be : 1/6 / 1/12
= 1/6 x 12/1
= 2 miles
Can you solve this problem
Answer:
x = 18
Step-by-step explanation:
8 x 18 - 3 = 141
Find two integers whose sum is -5 and product is -36
Answer:
-6 & 6
Step-by-step explanation:
-6 time 6 is -36
Answer:
-9+4= -5
Step-by-step explanation:
-9 times 4= -36
Negative Nine plus four equals negative five
negative Nine times four equals negative thirty six
Here is some record keeping from a coffee shop about their paper cups. Cups are delivered 2,000 at a time. day change Monday +2000 Tuesday -125 Wednesday -127 Thursday +1719 Friday -356 Saturday -782 Sunday 0 1. Explain what a positive and negative number means in this situation. PLEASE HELP ME
Answer: the numbers with the plus sign are positive and the ones with the negative sign are negative
Step-by-step explanation:
Can I get an awnser to both of these questions? Thank you!
Answer:
y+1=7(x+4) for first one
y-4=5(x-0) for second one
Step-by-step explanation:
point slope form for both of those questions.
the formula for point slope form is
y-y1(y coordinate) = slope(x+x2(x coordinate))
y+1=7(x+4)
Second question:
-1,-1 to 0,4
change in x +1, change in y +5.
5/1 = 5
slope is 5
y-4=5(x-0)
Solve:
n = 8
4
O n = 2
0 n = 12
Ô n = 24
0 n = 32
Answer:
1/4 n = 8
n = 8 * 4
n = 32
so option 4 i.e.
n = 32. is the ans
Answer:
n=32
Step-by-step explanation:
Given :
[tex]\frac{1}{4} n=8[/tex]
Now,
Value of n can be calculated as :
[tex]\frac{1}{4} n=8[/tex]
n=8×4
n=32
Therefore, option (D) is correct.
The storage container below is in the shape of a rectangular prism with a height of 6 feet and a length that is 2 feet more than its width.
Recall that the formula for the volume of a rectangular prism is V = l · w · h, where l is the length, w is the width, and h is the height.
Write the equation that represents the volume of the storage container in terms of its width.
A.
V = 6w2 + 12w
B.
V = 6w2 - 12
C.
V = 6w2 + 12
D.
V = 6w2 - 12w
Answer:
A
Step-by-step explanation:
Step 1, setting variables:
We already know the exact height of the prism: 6 feet. We can set the unknown width as variable x, and length as x+2 (length is two feet more than width).
Step 2, writing equations:
Great! We have everything now. Let us write the equation by substituting our variables in:
[tex]V=l*w*h\\V=6w(w+2)\\[/tex]
Ok! Let us expand the equation:
[tex]V=6w^2+12w[/tex]
[tex]\fbox{A}[/tex]
I hope this helps! Let me know if you have any questions :)
If Sarah turns 15 on august 27 and her graduation year is 2024 how old will she be when she graduates high school?
Answer:
She will be 17
Step-by-step explanation:
My sister is like that but she's graduating in 22'
It sort of depends where Sarah lives -.-
But if she starts high school when she's 15 (in 2021) and she graduates in 2024 it means high school is three years.
So 15 plus 3.
Sarah will be 18 when she graduates high school.
Belief in UFOs A survey found that of people believe that they have seen a UFO. Choose a sample of people at random. Find the probability of the following. (a) At least 3 people believe that they have seen a UFO.(b) 2 or 3 people believe that they have seen a UFO.
Answer:
b is the answer am not sure you know
Answer:
a) 3/10
b)3/10
Step-by-step explanation:
let the sample of people be 10
so,
a) total outcome=10
favourable outcome=3
P(seeing a UFO)= 3/10
b) total outcome=10
favourable outcome=2 or 3
P(seeing a UFO)= 2/10+3/10-(2/10
5/10-2/10
=3/10
Joe told Mickey he got an hourly raise at work and his new rate will be $10.25 per hour. Mickey wants to know what Joe’s hourly rate was before his raise. If r represents the amount of the raise, which expression represents Joe’s hourly rate before his raise?
Answer:10.25-r= hourly rate
Step-by-step explanation:
Consider the expression 63+81 how can you use the distributive property and the gcf to find an equivalent expression?explain how you can check your answer
Step-by-step explanation:
63+81
gcf = 9
63÷9=7, 81÷9=9
so, 63+81 = (9×7)+(9×9)
= 9×(7+9)
63+81 = 144
9x(7+9) = 9×16 = 144
giving brainliest please answer
(answer D is) Marco's, George, Andy, Rubens
A
B
C
D
?
1. My number has two digits.
2. Double my number is less than 150.
Follo
ther
3. I am not divisible by 12.
4. My digits are different from each other.
5. The second digit in my number is divisible
by an odd number.
6. My first digit is less than my second digit.
7. My digits add up to 14.
way.
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {Your\:answer\:is\:59.}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
1. My number has two digits.
59 is a two-digit number. ✔2. Double my number is less than 150.
Double of 59 is 118, which is less than 150. ✔3. I am not divisible by 12.
Since 59 is an odd number, hence it is not divisible by 12. ✔4. My digits are different from each other.
The digits 5 and 9 are different. ✔5. The second digit in my number is divisible by an odd number.
9 is divisible by an odd number, i.e. 3. ✔6. My first digit is less than my second digit.
5 is less than 9. ✔7. My digits add up to 14.
5 + 9 gives us 14. ✔Therefore, the required number is [tex]\sf\pink{59}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Answer:
59
Step-by-step explanation:
two digits, 59=118, unable to divide by twelve since its an odd number, 9÷3=3, 5<9, 5+9=14
Find HG and HI. Pleaseeee help :/
Stats question what are the main difference between frequenting and Bayesian
Answer:
The frequentist believes that probability represents long term frequencies of repeatable events (such a flipping a coin). Frequentists do not attach probabilities to hypotheses or unknown values. On the other hand, the Bayesian approach uses probabilities to represent the uncertainty in any event or hypothesis.HOPE IT HELPS
Please help ASAP ASAP
Step-by-step explanation:
[tex] \sqrt{53} [/tex]
Which is the graph of the parent function f(x) = x2?
Answer:
it should look like a U shape. Its called a parabola
(0,0) is the bottom center.
Step-by-step explanation:
xác định m để 3 vector sau đây phụ thuộc tuyến tính
u=(m+1,1,m+1),v=(1,1,1),u(2,0,m+2
0
Answer:
i dont know hahaha
Step-by-step explanation:
soryy
Tell whether the shape appears to have zero lines, 1 line, or more than 1 line of symmetry. Select zero, 1, or more than 1. There is/are ? line(s) of symmetry.
Answer:
This Symbol has 4 lines of Symmetry
What is the value of the expression 3m-4.2 If m equals 2.1
Answer:
2.1
Step-by-step explanation:
Given :
3m-4.2 where, m=2.1
Now,
3(2.1)-4.2
6.3-4.2
2.1
Answer is 2.1
A fast-food chain claims one medium order of its onion rings weighs 114 grams. Patrice thinks she is getting less than what the restaurant advertises. She weighs the next 16 random orders of onion rings before she eats them and finds the sample mean is 112.4 grams and the standard deviation is 7.63 grams. What conclusion can be drawn α = 0.10?
Answer:
Patrice does not have sufficient evidence to reject the fast-food chain's claim.
Step-by-step explanation:
unless she already ate some fries, not enough evidence
Can someone answer with steps and explanation? Thanks.
Answer:
[tex]x=-16\text{ or } x=7[/tex]
Step-by-step explanation:
Since ΔABC is mapped onto ΔDEF, we can write that:
[tex]\Delta ABC\cong \Delta DE F[/tex]
By CPCTC:
[tex]\angle A\cong \angle D[/tex]
And since ΔABC is isosceles with Vertex C:
[tex]\angle A \cong \angle B[/tex]
We are given that:
[tex]m\angle D=34[/tex]
Hence:
[tex]m\angle A=34=m\angle B[/tex]
We are also given that:
[tex]m\angle C=x^2+9x[/tex]
The interior angles of a triangle must sum to 180°. Thus:
[tex]m\angle A+m\angle B+m\angle C=180[/tex]
Substitute:
[tex](34)+(34)+(x^2+9x)=180[/tex]
Simplify:
[tex]68+x^2+9x=180[/tex]
Isolate the equation:
[tex]x^2+9x-112=0[/tex]
Factor:
[tex](x+16)(x-7)=0[/tex]
Zero Product Property:
[tex]x+16=0\text{ or } x-7=0[/tex]
Solve for each case:
[tex]x=-16\text{ or } x=7[/tex]
Testing the solutions, we can see that both yields C = 112°.
Hence, our solutions are:
[tex]x=-16\text{ or } x=7[/tex]
