Answer:
[tex]y = \frac{2}{3} x + 12[/tex]
Step-by-step explanation:
[tex]y = - \frac{3}{2} x - 1[/tex]
The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.
Thus, gradient of given line=[tex] - \frac{3}{2} [/tex].
The product of the gradients of perpendicular lines is -1.
(Gradient of line)(-3/2)= -1
Gradient of line
[tex]- 1 \div ( - \frac{3}{2} ) \\ = - 1( - \frac{2}{3} ) \\ = \frac{2}{3}[/tex]
Substitute m=[tex]\frac{2}{3} [/tex] into y=mx+c:
[tex]y = \frac{2}{3} x + c[/tex]
To find the value of c, substitute a pair of coordinates.
When x= -6, y= 8,
[tex]8 = \frac{2}{3} ( - 6) + c \\ \\ 8 = - 4 + c \\ c = 8 + 4 \\ c = 12[/tex]
Thus, the equation of the line is [tex]y = \frac{2}{3} x + 12[/tex].
Which is not a cubic number?a.1 b.9 c.27 d.64
Answer:
9
Step-by-step explanation:
1= 1x1x1 cubic
27=3x3x3 cubic
64=4x4x4 cubic
9 is not cubic
Answer:
Step-by-step explanation:
1x1x1=1³
3x3x3=27=3³
4x4x4=64=4³
Evaluate 3x + 12 for x=5
Hurry!!! ASAP!
Answer:
27
Step-by-step explanation:
3*5=15+12=27]
Evaluation of 3x + 12 for x = 5 is 27.
What is an expression?Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.
Given expression,
3x + 12
And to solve for x= 5,
we substitute the value of x in given expression,
3(5)+ 12 = 15 + 12
= 27
Therefore, evaluation of expression 3x + 12 for x = 5 is 27.
To learn more about the expression;
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J Problem: Find the slope of a line parallel to each given line. 5) y = 3x - 5
Answer: y = 3x + 5
............................
plz mark brainlest
Pls help me on this problem I’m confused
Answer:
1 yard = 3 feet
40 × 3 = 120 feet
1 foot per 2 seconds
120 × 2 = 240
240 ÷ 60 = 4 minutes
it takes her 4 minutes to reach the surface
Answer:
6 minutes and 65 seconds
Step-by-step explanation:
The unit rate is: 1/2.
1/2 x 40 = 40/80
80/60 = 1.33
1.33 x 3 (Because every foot is a meter)
3.99 / .60
6.65.
Hope this helps! Have a good day.
(Also, nice Sans PFP, mine is Sans too ;>)
Find the degree of the monomial.
-39^4rs^6
The degree is
Answer:
The answer to your question would be 20
Hope this helps!
*I NEED THIS ASAP*
5. number of terms
6. degree
7. leading coefficient
8. end behavior
9. turning point(s)
10. x-intercept(s)
11. relative minimum(s)
12. relative maximum(s)
Answer:
5 terms
to the fourth degree
leading coeff of 1
3 turning points
end behavior (when x -> inf, y -> inf. When x -> - inf, y -> -inf)
x intercepts are (0,-4) (0,-2) (0,1) (0,3)
Relative min: (-3.193, -25) (2.193, 25)
Relative max: (-0.5, 27.563)
Step-by-step explanation:
The terms can be counted, seperated by the + and - in the equation given.
The highest exponent is your degree.
The number before the highest term is your leading coeff, if there is no number it is 1.
The turning points are where the graph goes from falling to increasing or vice versa.
End behaviour you have to look at what why does when x goes to -inf and inf.
X int are the points at which the graph crosses the x-axis.
The relative min and max are findable if you plug in the graph on desmos or a graphing calculator.
Q7: What is the slope of the line represented by the equation 2x + 6y = 5
Answer:
-1/3
Step-by-step explanation:
2x + 6y = 5
6y = -2x + 5
y = -1/3x + 5/6
Representing the equation in slope intercept form, the slope of the line represented by the equation is - 1/3
Given the equation :
2x + 6y = 5Slope intercept format :
y = bx + c ; b = slope2x + 6y = 5
6y = - 2x + 5
Divide both sides by 6 to isolate y
y = - 1/3x + 5/6
Hence, the value of slope, b in the equation is - 1/3
Learn more : https://brainly.com/question/18106342
simplify 3(2x-2)-2(x-2)
A.3x-3
B.3x-4
C.4x-2
D.4x-4
Which number is not a perfect square?
(A) 1
(B) 25
(C) 30
(D) 36
Answer:
Hello! :) I hope I’m correct!!
Step-by-step explanation:
I think (C) 30 is not a perfect square.
(A) 1 = perfect square
(B) 25 = perfect square
(C) 30 = NOT a perfect square
(D) 36= perfect square
{Note: The square root of 30 is not an integer, so therefore 30 is not a square number}
Since the question is asking to find a number that is NOT a perfect square...
The answer would be (C) 30
Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ^-^
~By, BrainlyAnime~ <3
Simplify. 5 2+20
5
30
45
72
(The 5 2 is an exponent.)
Answer:C.45
Step-by-step explanation:
[tex]\Huge\boxed{Your\;answer\;is\;45.}[/tex]
___________________________________________________________
[tex]\boxed{Explanation}[/tex]
So, we have the following equation...
[tex]5^2+20=(?)[/tex]
Remember, 5² also means 5x5.
Therefore, [tex]5x5=25\\25+20=45[/tex]
This means your final answer is 45.
___________________________________________________________
Glad to help!
Could i possibly get brainliest?
[tex]\huge\boxed{Thanks,\;Plip.}[/tex]
The graph of g(x) = x2 + 2 is a translation of the
4
graph of f(x)
by
units.
2
DONE
-4
-2
-2
-4
y=x²
Answer:
up and 2; down and 3
Step-by-step explanation:
hope this helps!! have an amazing day <3
The equation the function after the transformation is g(x) = -4x² - 16
What is transformation?Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.
here, we have,
to determine the transformation of the function:
The equation of the function is given as
f(x) = x²+2
The sequence of transformations is given as follows:
Translate up by 2 units
Reflection across the x-axis
Vertically stretched by a factor of 4
When the above transformations are combined, we have:
Translate up by 2 units: g(x) = f(x) + 2
Reflection across the x-axis: g(x) = -(f(x) + 2)
Vertically stretched by a factor of 4: g(x) = -4(f(x) + 2)
So, we have
g(x) = -4(x²+2 + 2)
Expand
g(x) = -4x² - 16
Hence, the function g(x) is g(x) = -4x² - 16
Read more about transformation at
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PLEASE HELP!!!!! Will award brainliest need help asap
[tex]\\ \rm\rightarrowtail 2-sin^2x=2cos^2\left(\dfrac{x}{2}\right)[/tex]
[tex]\\ \rm\rightarrowtail 1+1-sin^2x=2cos^2\left(\dfrac{x}{2}\right)[/tex]
1-sin^2x=cos^2x[tex]\\ \rm\rightarrowtail 1+cos^2x=2cos^2\left(\dfrac{x}{2}\right)[/tex]
[tex]\\ \rm\rightarrowtail cos^2x=2cos^2\left(\dfrac{x}{2}\right)-1[/tex]
[tex]\\ \rm\rightarrowtail cos^2x=cosx[/tex]
[tex]\\ \rm\rightarrowtail cosx=1[/tex]
[tex]\\ \rm\rightarrowtail x=n\pi[/tex]
As x lies in between 0 and 2π
The answers are 0,2πAnswer:
[tex]x=0,\dfrac{\pi}{2}, \dfrac{3\pi}{2},2\pi[/tex]
Step-by-step explanation:
Given equation:
[tex]2-\sin^2x=2 \cos^2(\frac{x}{2})[/tex]
Subtract [tex]2 \cos^2(\frac{x}{2})[/tex] from both sides:
[tex]\implies 2-\sin^2x-2 \cos^2(\frac{x}{2})=0[/tex]
Pythagorean identity
[tex]\sin^2x+\cos^2x =1[/tex]
[tex]\implies \sin^2x =1-\cos^2x[/tex]
Substituting into the equation:
[tex]\implies 2-(1-\cos^2x)-2 \cos^2(\frac{x}{2})=0[/tex]
[tex]\implies 1+\cos^2x-2 \cos^2(\frac{x}{2})=0[/tex]
Cosine double angle identity:
[tex]\cos(2x)=2 \cos^2x-1[/tex]
[tex]\implies 2 \cos^2x=\cos(2x)+1[/tex]
Substituting [tex]\frac{x}{2}[/tex] for [tex]x[/tex]:
[tex]\implies 2 \cos^2(\frac{x}{2})=\cos(2\cdot\frac{x}{2})+1[/tex]
[tex]\implies 2 \cos^2(\frac{x}{2})=\cos x+1[/tex]
Substituting into the equation:
[tex]\implies 1+\cos^2x- (\cos x +1)=0[/tex]
[tex]\implies \cos^2x- \cos x =0[/tex]
Factoring:
[tex]\implies \cos x(\cos x- 1)=0[/tex]
Therefore,
[tex]\cos x=0[/tex]
[tex]\implies x=\dfrac{\pi}{2}, \dfrac{3\pi}{2}[/tex]
and [tex]\cos x-1=0[/tex]
[tex]\implies \cos x=1[/tex]
[tex]\implies x=0, 2\pi[/tex]
If 9-2k/3=k-2 what is the value of k
Answer:
[tex]k=3[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{9-2k}{3} =k-2[/tex]
To find the answer we need to isolate k, in order to do that we need to use inverse of operations to cancel out integers on each side of the expression.
[tex]\frac{9-2k}{3} =k-2[/tex]
[tex]3\times0=0[/tex]
[tex]2\times3=6[/tex]
[tex]9-2k=k\times3-6[/tex]
[tex]9-9=0[/tex]
[tex]-6-9=15[/tex]
[tex]k\times3=3k[/tex]
[tex]-2k=3k-15[/tex]
[tex]-2k-2k=0[/tex]
[tex]3k+-3k=-5k[/tex]
[tex]-5k=-15[/tex]
[tex]-5k\div-5=k[/tex]
[tex]-15\div-5=3[/tex]
[tex]k=3[/tex]
Your answer is "k =3."
Hope this helps.
need some help with the question in the image
Answer:
oranges $3.50 per Kg, bananas $3 per Kg
Step-by-step explanation:
let b represent cost of bananas and o represent cost of oranges , then
2b + 3o = 16.5 → (1)
o = b + 0.5 → (2)
substitute o = b + 0.5 into (1)
2b + 3(b + 0.5) = 16.5 ← distribute parenthesis on left side and simplify
2b + 3b + 1.5 = 16.5
5b + 1.5 = 16.5 ( subtract 1.5 from both sides )
5b = 15 ( divide both sides by 5 )
b = 3
substitute b = 3 into (2)
o = 3 + 0.5 = 3.5
cost of oranges = $3.50 and cost of bananas = $3
Need help with question 7- TYSM!
Answer:
A=½bh
20=5x(½)
multiply by reciprocal both sides
40=5x
divide
8=x
f(x) = 3x + k
f(4) = 10
easy equation but I just need a confirmation that the answer is actually -2 lol
Answer:
-2
Step-by-step explanation:
f(x) = 3x + k
f(4) = 10
f(4) = 3×4+k
10 = 12 + k
10-12 = k
k = -2
BRAINLIEST FOR THE CORRECT ANSWER!!
Look at the graph. How would you describe the activity in Nora's Savings Account over the 10th, 11th, and 12th month?
A) The number of dollars did not change.
B) The number of dollars decreased.
C) The number of dollars slightly increased.
D) The number of dollars dramatically increased
Answer:
D
Step-by-step explanation:
answer choices a/b can be eliminated because it's increasing, and answer choice c can be ruled out because its a dramatic increase!
hope this helps!<3
ill give brainlyst to the first person to help me:)
This figure represents a small brick that is to be covered on all sides with a striped fabric. How much fabric is needed to cover the brick? Enter your answer as a decimal in the box.
The amount of fabric needed = surface area of the rectangular prism (brick) = 146.5 cm²
What is the Surface Area of a Rectangular Prism?The surface area of a rectangular prism is given as, A=2(wl+hl+hw).
The brick is a rectangular prism. Therefore, the amount of fabric needed to cover the brick would equal the surface area of the brick.
Given the following:
l = 6 cmw = 3.5 cmh = 5.5 cmPlug in the values into the formula:
The surface area of the rectangular prism (brick) = 2(3.5 × 6 + 5.5 × 6 + 5.5 × 3.5) = 146.5 cm²
Learn more about surface area of rectangular prism on:
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Answer:
The Answer Is : 146.5
Step-by-step explanation:
I Just Took The Test And I Have Proof
Hello, can somebody help?
x+4y=9
if x = y+4
Answer:
4x + 8y =12 [inconsistent]
x + 2y = -3
x = 6 [inconsistent]
x = -2
2y = 5x + 6 [inconsistent]
-10x + 4y = 8
x - 3y=2
4x - 12y = 8 [dependent]
x+ 4y = 12 [independent]
2x - 8y = 4
4x + 8y = -6 [dependent]
6x + 12y = -9
4y - 2x = 6 [inconsistent]
8y = 4x -12
y - x = 0 [independent]
y = -x
2y - x = 4
1/2x - y = 2 [inconsistent]
Step-by-step explanation:
answer only. Thanks
the answer is b bc the way the other 2 are
Step-by-step explanation:
its the pattern.
Mary decreased her time for the mile walk from 30 minutes to 24 minutes. What was the percent of decrease?
A. 32%
B. 20% increase
C. 20% decrease
D 88%
what is 3 1/4 - (-5/8)
Answer:
3.875
Step-By-Step-Explanation
3 2/8 + 5/8
POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
(9 & 10)
Answer: I got these correct 100%.
Step-by-step explanation:
First page:
1. True
2. True
3. True
4. True
5. False
6. True
7. False
Second page:
1.False
2.False
3.False
4.False
5.False
6.True
7.True
8.True
4. Shelton earns an hourly wage at a grocery store. The following expression represents Shelton’s take home pay after taxes, social security, and his health care plan are deducted. Let x represent the number of hours Shelton worked.
10.25x − 0.21(10.25x)
a) Which term represents Shelton’s total pay before deduction?
b) Shelton wants to save $1,675 for a new laptop. If Shelton saves 25% of his take-home pay, how many hours will he need to work to meet his savings goal?
Answer:
a) Shelton’s total pay before deduction: 10.25x
b) To meet savings goal he'll have to work 827.415869 hours.
Step-by-step explanation:
Take-home pay:
10.25x − 0.21(10.25x)
10.25x − 2.1525x
8.0975x
Save 25% for new laptop:
.25(8.0975x) = 1675
2.024375x = 1675
x = 827.415869 hours
PLEASE PLEASE ANSWER I WILL MARK AS BRAINLIST
Answer:
hey! ill do it but first do 3/4 x 8/15 for me PLSSSSSSSSSSS
Step-by-step explanation:
CAN ANYONE HELP ME??
if anyone can help me out with my math class this quarter, it'd be greatly appreciated. my mental health hasn't been the best, and it's really reflecting in my grades. staying focused, motivated and positive has been the hardest. i can comment my instagram username if anyone can help, so we can talk through dms. :) thank you so much.
Answer:
i'd give you my insta
Step-by-step explanation:
What is y+2=-7(x-4) in slope intercept form
Answer:
y= -7x+26
Step-by-step explanation:
not sure how to explain... just followed order of operations
A chair can be purchased in one of four colors: red, white, green, or blue. The number of chairs purchased in each color is listed below. Red: 150 white: 450 green: 225 blue: 375 Based on the information shown in the list, what is the probability that the next chair purchased will be red?
Answer:
[tex]P(Red) = 0.125[/tex]
Step-by-step explanation:
Given
[tex]Red: 150[/tex]
[tex]White: 450[/tex]
[tex]Green: 225[/tex]
[tex]Blue: 375[/tex]
Required
Determine the probability of getting a red chair, next.
First, we nee the total number of chairs
[tex]Total = 150 + 450 + 225 + 375[/tex]
[tex]Total = 1200[/tex]
Probability of getting red is then calculated as thus;
[tex]P(Red) = Red/Total[/tex]
[tex]P(Red) = 150/1200[/tex]
[tex]P(Red) = 0.125[/tex]
a = , b = , c = , d = , e = .
- To people who need this for Edge "Modeling a Bicycle Wheel" it's 6, 8, 6, 7, 7.
Answer:
Thanks! I was doing this lesson now and was getting ready to ask a question, but I saw this, and it helped me a lot. Thank you!
Step-by-step explanation:
Even though I technically didn't answer anything, can I have brainliest? I really want to level up
Have a blessed day and remember to keep smiling! :)