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!!!
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
Someone please help me!!!
-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!!
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
#SPJ2
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
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.
simplify 8/9 over 20. 8/9/20
2 over 45
Step-by-step explanation:
i divide 8over9 by 20
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
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
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...
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
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
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
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]
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
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.
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
what is
[tex] {y}^{2} = 44[/tex]
can anyone help me pls
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.
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
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
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 :)
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:
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!
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
how many solutions are there to x > 3 and what are they?
Answer:
two solutions
Step-by-step explanation:
x = 3 and -1
What is another name for Z1?
N
E
F
Answer:
GEF
Step-by-step explanation:
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...
2. A(n) __ is an individual number,
figure, or letter in a sequence.
Answer:
term of a sequence
Step-by-step explanation: