Answer:
f(x)=-8(x^2)+6
Step-by-step explanation:
f(x)=a(x-h)+k is the vertex formula since we are given the vertex and a point.
substituting the given information, we get: f(x)=a((x-0)^2)+6, and then -2=a((-1-0)^2)+6 to get -2=a+6, or a=-8.
Answer:
-8x^2+6
Step-by-step explanation:
substitute in quadratic function: f(x)=ax^2+bx+c. 6=c because when x=0, f(x)=6. it is the y-intercept. but because h=-b/2a and 0=-b/2(8), b=0.
In how many ways can a group of 5 volunteers be selected from 6 girls and 10 boys?
The question is an illustration of combination.
There are 5005 ways the volunteers can be selected
How to determine the total number of selections
The given parameters are:
Boys = 10Girls = 5Volunteers = 5Since there is no restriction, as to who can be selected;
The total number of selection is calculated using the following combination formula
[tex]^nC_r = \frac{n!}{(n -r)!r!}[/tex]
Where:
[tex]n = 5 + 10=15[/tex]
[tex]r = 6[/tex]
So, we have
[tex]^{15}C_6 = \frac{15!}{9!6!}[/tex]
This gives
[tex]^{15}C_6 = 5005[/tex]
Hence, there are 5005 ways the volunteers can be selected
Read more about combination at:
https://brainly.com/question/11732255
What is 1/2 of simplified in fraction form
Answer:
it already is in its simple form.
Converted to a decimal:
0.5 (rounded to 6 decimal places)
GCD:
1
Hopefully I helped answer your question.
The pentagon below has an area of 8.3 square centimeters.
A pentagon has side lengths of 2.2 centimeters and an area of 8.3 square centimeters. An apothem is shown.
What is the approximate length of the apothem?
0.4 cm
0.8 cm
1.5 cm
1.9 cm
Answer:
1.5 cm
Step-by-step explanation:
Answer:
1.5 cm
Step-by-step explanation:
E2020 Geometry B!! :3
24 1/3 in simplest form.
Answer:
73/3
Step-by-step explanation:
24 1/3 is already pretty simplified. You cant really reduce it anymore but you can change it to an improper fraction of 73/3
Please mark as brainliest ;)
Help me out please and please don’t answer for points that’s really un respectful and you wouldn’t like for me to do the same .
Answer:
hope it helps uh..........................
Rearrange the equation to isolate a.
(a+b/c)(d-e)=f
Mick has a savings account with $800.00 in it. Every month, he withdraws $75.00 to pay for his cell phone. What is the maximum number of months that Mick can withdraw the money without allowing his savings account to drop below $125.00?
Answer:
9 months
Step-by-step explanation:
Let x = number of months with withdrawal
Since he takes out 75 for each month, multiply x by 75 like this: 75x
This is being taken out of the 800, so subtract 800 by 75x
800 - 75x
This has to be equal to 125 since Mick does not want the account to be less than 125
800 - 75x = 125
Let's subtract 800 from both sides
800 - 75x = 125
- 800 - 800
-75x = -675
Then, divide both sides by -75 to isolate the x variable
-75x/-75 = -675/-75
x = 9
The max number of months is equal to 9
Write the mixed number as a fraction 3 2/3
Answer:
9/3
Step-by-step explanation:
3 x 2 + 3
You multiply by the numerator and add with the denominator
Answer:
11/3
Step-by-step explanation:
3 2/3
=> (3(3) + 2)/3
=> (9 + 2)/3
=> 11/3
Write an equation
of the line with a slope
Of 4 that passes through
the point (-2, 1) in point slope
Form
Solve x – y, if x = 7 and y = -10
Answer:
17
Have a great day!
Answer:
x - y = 17
Step-by-step explanation:
Given information,
→ x = 7
→ y = -10
Solving the expression,
→ x - y
→ 7 - (-10)
→ 7 + 10
→ 17
Thus, the answer is 17.
PLEASE HELP!!!!
Find w and x.
Answer:
option C ...
w= 10.8
x=12.7
Find R if p = 1.5 and R = (1400 – 500p)p
R=?
the price of a gallon of gas dropped from 3.50 to 2.87 by what percentage was the price gas reduced
Answer:
18%Step-by-step explanation:
To do this, we first divide 2.87 by 3.50. This gets us 0.82. So we now know that 2.87 is 82% of 3.50. But we're trying to find the reduced amount. So we now Do 100%-82% (82% being 2.87) to get 18%. So the answer is 18%. To make sure we are right, we do 18% of 3.50 to get 0.63 cents. We then take 3.50 and subtract 0.63 to get 2.87. So it reduced by 18%
perimeter 101.76 in. if the rectangular painting is 5.82 in. taller than it is wide. find the dimensions of the painting.
Answer:
Width: 22.53 in.
Length: 28.35 in.
Step-by-step explanation:
If the perimeter is 101.76 in, we can create an equation of 2l + 2w = 101.76 in (length is l, and width is w). We also have that the rectangular painting is 5.82 in taller than it is wide. We can create a new equation stating that l = w + 5.82. We can now substitute l for w + 5.82 into our original equation, 2l + 2w = 101.76, and we get 2(w + 5.82) + 2w = 101.76. Now simplify and get 4w + 11.64 = 101.76. Simplifying this the whole way, we get w = 22.53. Now plug this value of w back into the equation, l = w + 5.82, and we get l = 22.53 + 5.82 = 28.35. We now have width: 22.53 in. and length: 28.35 in.
2. An expression is shown.
2 x 8 x9 = 3
Using the same expression, add parentheses so that
the value of the expression is 48.
Adding parentheses in the component [tex]9\div 3[/tex] of the expression may bring an output of 48.
Procedure - Application of hierarchy rules in a arithmetic expressionIn this question we should make use of hierarchy rules represented by the use of parentheses. The parentheses oblige to make operations inside it before making it in the rest of the formula.
Now we decide to add parenthesis in the component [tex]9\div 3[/tex] such that the result of the entire expression is 48. We proceed to present the proof:
[tex]2 \times 8 \times (9\div 3)[/tex]
[tex]2\times 8 \times 3[/tex]
[tex]2\times 24[/tex]
[tex]48[/tex]
Adding parentheses in the component [tex]9\div 3[/tex] of the expression may bring an output of 48. [tex]\blacksquare[/tex]
RemarksThe statement presents mistakes and is poorly formatted. Correct form is shown below:
An expression is shown: [tex]2\times 8 \times 9 \div 3[/tex]
Using the same expression, add parenthesis so that the value of the expression is 48.
To learn more on hierarchy rule, we kindly invite to check this verified question: https://brainly.com/question/3572440
Sid needs 0.6 meters of canvas material to make a carry-all bag for his wheelchair. If canvas is $9.49 per meter, how much will Sid spend? (Note that $9.49 per meter is the same as $9.49 for one meter.)
The amount of money Sid would spend to make a carry-all bag for his wheelchair is $5.694.
Given the following data:
Length of canvas material = 0.6 meter.Cost of canvas per meter = $9.49To calculate the amount of money Sid would spend to make a carry-all bag for his wheelchair:
How to solve a word problem.In this exercise, you're required to determine the total cost required to make a carry-all bag for Sid's wheelchair, if the canvas is $9.49 per meter and 0.6 meters of it is needed. Thus, we would multiply the cost of canvas by the length of canvas material that is required.
Mathematically, this is given by this expression:
[tex]Total\;cost = 0.6 \times 9.49[/tex]
Total cost = $5.694.
Read more on word problems here: https://brainly.com/question/13170908
f(x) = 4x – 6. Which steps are a correct way to find f(2)?
Answer:
Step-by-step explanation:
f(x) means the same thing (just about) as y. Think of it as the y value.
f(2) means that wherever you see an x on the right, you make it into a 1.
So f(2) means 4(2) - 6 = 8 - 6 = 2
A us the correct answer. Everything else cannot be made to produce 2 or at least not the right way
Answer:
ITS A trust i did this
Step-by-step explanation:
If 2x=3y + 4, what is 9^x/27
The teacher gave the answer but we have to show the work
Answer:
81
Step-by-step explanation:
Rearrange [tex]2x=3y+4[/tex] to make y the subject: [tex]y=\frac{1}{3} (2x-4)[/tex]
Just working with the denominator of [tex]\frac{9^x}{27^y} [/tex] to rewrite it using [tex]x[/tex]:
[tex]27^y=27^{\frac{1}{3}(2x-4)}[/tex]
[tex]=(27^{\frac{1}{3}})^{(2x-4)} [/tex]
[tex]=3^{(2x-4)} [/tex]
[tex]=3^{2x}[/tex] ÷ [tex]3^4[/tex]
[tex]=(3^2)^x[/tex] ÷ 81
[tex]=\frac{9^{x}}{81} [/tex]
Substitute this into [tex]\frac{9^x}{27^y} [/tex] and solve:
So [tex]9^x [/tex] ÷ [tex]27^y=9^x[/tex] ÷ [tex]\frac{9^{x}}{81} [/tex]
[tex]=9^x \times \frac{81}{9^x} [/tex]
[tex]=81[/tex]
A plastic page designed to hold trading cards will hold up to 7 cards. How many pages will be needed to store 557 cards? Give an appropriate counting number answer to the question. (Find the least counting number that will work.)
Answer:
80 pages
Step-by-step explanation:
Divide
557/7 = 79.57
You cannot have a decimal number, so round up to 80.
2. What is the difference between 92 and 37? Show your work on the number line below.
Answer:
92-37 =55
Step-by-step explanation:
Subtracting 37 from 92 gives 55
What is the answer:
10(x-1)-7x=x
Answer:
5 =x
Step-by-step explanation:
10(x-1)-7x=x
Distribute
10x-10-7x = x
Combine like terms
3x-10 =x
Subtract 3x from each side
3x-10-3x = x-3x
-10 = -2x
Divide each side by -2
-10/-2 = -2x/-2
5 =x
what is the formula for the nth term of the given sequence 1,9,17...
Answer:
t(n) = 8n - 7
Step-by-step explanation:
Formula for Arithmetic Sequence: t(n) = (CD)n + t(0)
t(n) is the value of the termCD is a Common Difference, more about that soonn is the term numbert(0) is the 0th term (the first value of all sequences is the first term)Solve: Common Difference
Just like how you would solve for slope, you would solve for the CD
CD = (term value - previous term value)/(term # - previous term #)CD = (9 - 1)/(2 - 1)CD = 8/1CD = 8Now, we have the equation : t(n) = 8n + t(0)
Now we have to solve for t(0), the y-intercept of the 0th term
Solve: t(0)
Do this the same way you would solve for b in y = mx + b
t(n) = (CD)n + t(0)1 = 8(1) + t(0) <= Input output for t(n), and term number for n1 = 8 + t(0)-7 = t(0)Our final equation is [tex]\boxed{\text{t(n) = 8n - 7}}[/tex]
-Chetan K
A backer is using a cookie recipe that calls for 2 cups of flour to yield 36 cookies. How
much flour will the baker need to make 90 cookies using the same recipe?
Pls help me !!!!!!!!!
Answer:
Option 1. The mean Arm Span for class A is much lower than Class B's.
Step-by-step explanation:
I hope you will be able to understand from this pic. Actually It's called Stem and Leaf Display.
If 228 is a multiple of 19, is 19 a factor of 228?
Angle POR and angle TOV are vertical angles. The measures of the two angles have a sum of 100% How many degrees is the measure of angle TOV?
Answer:
50°
Step-by-step explanation:
Vertical angles are congruent, so they have the same measure.
m<POR = m<TOV
The sum of the measures of the angles is 100°.
That means each angle measure must be half of 100°.
Answer: 50°
what number is in the same ratio to 24 as 5 to 20
Answer:
[tex] \frac{x}{24} = \frac{5}{20} = > x = \frac{5 \times 24}{20} = 6[/tex]
it's 6
Write an expression that represents the sum of m and 5 divided by 14.
Answer:
(m+5)/14
Step-by-step explanation:
Sum= addition. M+5
divided= division. dividing m+5 by 14.
For what real value of $k$ is $\frac{13-\sqrt{131}}{4}$ a root of $2x^2-13x+k$?
Answer:
k = 4.75
Step-by-step explanation:
If (13 -√131)/4 is a root of the equation, then its conjugate, (13 +√131)/4 is also a root. The product of the roots is k/2, where 2 is the leading coefficient.
The product is ...
k/2 = ((13 -√131)/4) × ((13 +√131)/4) = (13² -131)/4² = 38/16
Then the value of k is ...
k = 2(38/16) = 19/4
k = 4.75
_____
The attached graph shows that (13 -√131)/4 is a root of the quadratic when k = 4.75.
How could you correctly rewrite the equation 4(10+5) = 6(12 - 2) using the distributive property?
20 + 40 = - 12 + 72
40 + 5 = 72 - 2
40 + 30 = 72 - 2
40 + 20 = 72 - 12
Answer:
40+20=72-12
60=60
Step-by-step explanation:
4*10+4*5=6*12-6*2
40+20=72-12
60+60
