Answer:
a=-5, k=31
Step-by-step explanation:
Determine a and k so the given points are on the graph of the function:
(1,11) (2,-14)
[tex]y=a(x+1)^2+k[/tex]
To find the required values, we substitute the points into the equation:
[tex]11=a(1+1)^2+k[/tex]
[tex]-14=a(2+1)^2+k[/tex]
Operating:
[tex]11=a(2)^2+k[/tex]
[tex]-14=a(3)^2+k[/tex]
Simplifying:
[tex]11=4a+k[/tex]
[tex]-14=9a+k[/tex]
Subtract the second equation from the first equation:
[tex]11+14=4a-9a[/tex]
Simplifying:
[tex]25=-5a[/tex]
Solving:
[tex]a=25/(-5)=-5[/tex]
a=-5
Use this equation to find k:
[tex]11=4a+k[/tex]
[tex]11=4(-5)+k[/tex]
[tex]11=-20+k[/tex]
k=31
a=-5, k=31
Answer:
a = -5
k = 31
Plz Mark brainliest!!!
Peter says, "If you subtract 13 from my number and multiply the difference by -3, the result is
- 69." What is Peter's number?
Answer:
Peter's number is 36.
Step-by-step explanation:
If you subtratct 13 from 36, you get 23.
If you multiply that times -3, you get -69.
(The way I got 23 was by dividing -69 and -3)
I hope this helped you even though it's late.
can u please help!!!
Answer:
Aw, it doesn't let me see the picture... can you explain it and what we are supposed to find?
Step-by-step explanation:
The difference of twice a number and 3 is at most -21
Answer:
The equation: 2n - 3 ≤ -21
The answer to the equation: n ≤ 9
Step-by-step explanation:
How to get the equation:
The difference of symbolizes subtraction. Because we are subtracting twice a number and 3, the first part of the equation can be written as 2n - 3. The n symbolizes the number.
is at most symbolizes a less than or equal to sign. That sign is ≤. And what is it less than or equal to? -21.
Now are equation is 2n - 3 ≤ -21
How to solve it:
2n - 3 ≤ -21
Add 3 to both sides of the equation
2n ≤ 18
Divide both sides of the equation by 2
n ≤ 9
how many solutions are there to x > 3 and what are they?
Answer:
two solutions
Step-by-step explanation:
x = 3 and -1
BRAINLIEST
What is the distance between points F(2,9) and G(4,14)? Round to the nearest whole number.
Give only the quantity in your response.
Your answer
Bianca bought a skateboard for $75. There sales tax of 6.5%. What well she spent total for the skateboard?
Answer:
79.875, or 79.88
Step-by-step explanation:
first ya do 75*0.065=4.875
then you add that to 75
Determine the constant of variation for the direct variation given.
R varies directly with S. When S is 16, R is 80.
1/5
5
16
Answer:
The constant of variation is k=5
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
[tex]y=k\cdot x[/tex]
Where k is the constant of proportionality.
We know R varies directly with S. Their relationship is:
[tex]R=k\cdot S[/tex]
We also have when S=16, R=80. Thus:
[tex]80=k\cdot 16[/tex]
Solving for k:
[tex]k=80/16=5[/tex]
The constant of variation is k=5
What is 1/5 divided by 3/4? Then what is it reduced to lowest terms?
Answer:4/15
Step-by-step explanation:
Take 3/4 and flip it in half, making it 4/3, then multiply that by 1/5.
Answer:
4/15
Step-by-step explanation:
to divide fractions. flip the second fraction. then multiply
3 4
4 3
1 x 4 = 4
5 x 3 15
can't be simplified any further
Can you help me with this problem? 292.4 ÷ 17
Thanks I appreciate your help
Stay safe during quarantine! Have a nice day
Answer:
17.2
Step-by-step explanation:
divide the numbers together and it will equal 17.2
Solve for x.
x/2≥−4
this is an inequality, could you explain as well? will give out brainliest answer :)
Answer:
x≥-8
Step-by-step explanation:
Let's do this step by step:
Step 1-
Take x/2≥-4. Now multiply both sides by 2 to isolate the x variable. Multiplying x/2 by 2 removes the denominator.
Step 2-
Since we are multiplying both sides by 2, we also have to multiply -4 by 2. We get -8
Step 3-
Therefore, x≥-8
Hope that helps :)
Reduce your answer to its lowest term 2 1/5 + 5 4/5=
Answer:
8
Step-by-step explanation:
2 1/5 + 5 4/5 =
2 + 5 = 7
1/5 + 4/5 = 1
1 + 7 = 8
Based on the number line below, which statement is true?
you didnt put a number line tho :/
Answer:
25
Step-by-step explanation:
that one spongebob meme
haha
:(
theres no number line
Which set of ordered pairs represents a relation that is a function?
A. {(0, 1), (1, 2), (2,3), (2, 1), (1, 0)}
B.{(2, 1), (1, 2), (0, 1), (1, 0), (1,3)}
C.{(0, 1), (0, 2), (0, 3), (0, 4), (0,5)}
D. {(0,3), (2, 1), (4, 5), (6,5), (3, 1))
Answer:
c represent s a relation that is a function
Step-by-step explanation:
all other choices have a reputition of numbers in the y coordinate
Answer:
D
Step-by-step explanation:
A has (1, 2) and (1,0) and for functions for every input you need one output
B has (1,2) (1,3) (1,0) and same thing
C Has all of the inputs the same, so the input has multiple outputs which again is not a function
D has all inputs that have only one output
Help you'll get brainiest! Combine the radicals
Answer:
hi b is the answer
Step-by-step explanation:
please mark me as the brainliest answer and please follow me for more answers to your questions
Answer:
Step-by-step explanation:
[tex]\sqrt{27} = \sqrt{9}[/tex] ×[tex]\sqrt{3}[/tex] = 3 × [tex]\sqrt{3}[/tex] = [tex]3\sqrt{3}[/tex]
So then
[tex]5\sqrt{27} = 5[/tex] ×[tex]3\sqrt{3}[/tex] = [tex]15\sqrt{3[/tex]
And then
[tex]15\sqrt{3} - 17\sqrt{3} = -2\sqrt{3}[/tex]
Someone please help me!!!
simplify 8/9 over 20. 8/9/20
2 over 45
Step-by-step explanation:
i divide 8over9 by 20
-0.8x+40-8x-35 need help asap
Answer:
-8.8x + 5
Step-by-step explanation:
Equation:
-0.8x + 40 - 8x - 35
-0.8x -8x + 5
-8.8x + 5
*This answer might be from a misunderstanding*
Answer:
-8.8x + 5
Step-by-step explanation:
See attached picture!!
Hope this helps!!
Can someone tell me the answer plz for brainlist and points to whoever gets it right
Answer:
Alonzo was right about the equations being the same because they both end up equaling up to (4,-5)
Step-by-step explanation:
I attached the work below so you also know how to do it. I hope this helps you and I hope you have an amazing night and remember to drink water and eat and get a good nights rest. and remember that school does not define how smart you are!
2. A(n) __ is an individual number,
figure, or letter in a sequence.
Answer:
term of a sequence
Step-by-step explanation:
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
A.-4
B.-2
C. -1
D. 1
Given: In the figure, B is the midpoint of AC and AD = EC. Prove: DB = BE.
Match each statement to its corresponding reason in the flow diagram. Drag the items on the left to the correct
location on the right.
Answer:
The PLATO answer...
PLSSSS!!!!! HELP!!!! ME!!!!! I !!!!! WILL!!!! MARK U!!!!!!!!!!!!
Answer:
i want to see david not mark
Step-by-step explanation:
duck what is plant? Been wonder tht=at fir long tim. Seen mary sheelly at the frank book!! You seen? HMMMM???!?! Im tired of this instagram ad go away! Its find out!!! Me too!!!
Answer:
I'm pretty sure its 5...
If PQ = 2.1 and QR = 0.8, what is PR?
Answer:
2.9
Step-by-step explanation:
If the order is P, Q, R on the number line, add both segments together.
What is another name for Z1?
N
E
F
Answer:
GEF
Step-by-step explanation:
6x + 2 = 5x + 17, would there be one unique solution? What is it?
Answer:
X = 15
Step-by-step explanation:
1.- Rewrite the equation, Put like terms on the same side
6x - 5x = 2 - 17
Instead of adding subtract
2.- Divide 1 on both sides
1x = 15
You should only have X on the left side
3.- You should have
X = 15
Help me please I REALLY NEED HELP WITH THIS 10 points
Answer:
Y-int (0,3)
Slope 3/2
Step-by-step explanation:
I'm assuming this is for the second question on the bottom
Duncan has 13 1/3 cups of sand. He divides the sand equally into 4 containers
Answer:
if you're asking how much sand is in each container, then
[tex]13 \frac{1}{3} \div 4 = 3 \frac{1}{3} \: cups \: of \: sand[/tex]
Answer um also very confused on this one AA.
Step-by-step explanation:
but i said 2 if your wondering.
Given f (x) = 2x3, find f-1 (16).
O A. y=v2
O c. y=234
O B. y = 2
O D. 9= 22
PLEASE HELP ITS DUE IN 10 minutes
Answer:
D
Step-by-step explanation:
yo so basically started blasting
what is
[tex] {y}^{2} = 44[/tex]
can anyone help me pls
Fit-quest charges a one-time registration fee of $50 plus $5 per fitness class. Fitnasium charges no registration fee, but charges $8 per fitness class. For how many fitness classes does Fitnasium cost less than or the same as Fit-quest?
Answer:
16
Step-by-step explanation:
50 + (5×16) 8×16
50 + 80 128
130. 128.
if she goes to gitnasium 1 more time then it eould be more than Fit-Quest.
16 of the fitness classes do Fitnasium cost less than or the same as Fit-quest.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been given that Fit-quest charges a one-time registration fee of $50 plus $5 per fitness class. Fitnasium charges no registration fee, but charges $8 per fitness class.
Let the number of classes would be x
⇒ 50 + (5x) = 8x
Rearrange the terms of x in the above equation,
⇒ 8x - 5x = 50
⇒ 3x = 50
⇒ x = 50/3
Apply the division operation,
⇒ x = 16
Therefore, 16 of the fitness classes do Fitnasium cost less than or the same as Fit-quest.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
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