Answer:
y = (x + 3)^2 + 1
Step-by-step explanation:
100% on edge
Have a nice day :]
The equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
What is the vertex form?The vertex form of an equation is a quadratic equation, written in the form of a parabola
The equation is given as:
[tex]y = x^2 + 6x + 10[/tex]
Write out the constant
[tex]y = (x^2 + 6x) + 10[/tex]
Take the coefficient of x
[tex]k = 6[/tex]
Divide by 2
[tex]k/2 = 3[/tex]
Square the expression
[tex](k/2)^2 = 9[/tex]
So, we have:
[tex]y = (x^2 + 6x + 9 - 9) + 10[/tex]
Rewrite as:
[tex]y = (x^2 + 6x + 9) -9+ 10[/tex]
[tex]y = (x^2 + 6x + 9) + 1[/tex]
Express as a perfect square
[tex]y = (x + 3)^2 + 1[/tex]
Hence, the equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
Read more about vertex forms at:
https://brainly.com/question/26738087
POSSIBLE POINTS: 0.86 Marcus is trying to decide between a cable subscription and a satellite dish. The cable subscription has a $40 setup fee and costs an additional $38 per month. Marcus has $500 budgeted for cable. How many months (m) can he pay for the cable subscription? WRITE AN EQUATION THAT CAN BE USED TO FIND THE NUMBER OF MONTHS HE CAN PAY FOR THE CABLE SUBSCRIPTION
Answer:
0.156
Step-by-step explanation:
step1. add 40 + 38 = 78
step2. divide 78 by 500 to get 0.156
hope im right
A 4-pack of museum tickets costs $30.28. What is the unit price?
Answer:
7.57
Step-by-step explanation:
30.28/4 = 7/57
First person to answer gets brainly!!
sum n=3 ^ infty (2n+5)
find the series shown
=====================================================
Explanation:
We're adding terms in the form (2n+5)
The first term is when n = 3, so
2n+5 = 2*3+5 = 6+5 = 11
The next term is when n = 4, so
2n+5 = 2*4+5 = 8+5 = 13
The next term is when n = 5, so
2n+5 = 2*5+5 = 10+5 = 15
And so on
This means,
[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]
which matches with choice C. The three dots indicates the pattern goes on forever.
-------------------
Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.
I.e,
[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]
Write the symbolic expression in words:
PLEASE SOMEONE HELP
Answer:
The expression “32” is a symbolic term. ... This means the term has variable meaning depending on which value is substituted for x. For example, if you set x=−2, you get (−2)2, another name for 4. x2−6x+4y (mentioned above) is symbolic term with two variables.
I hope that helps im only in 8th grade so I don't fully understand it either lol
There are 12 students in the gym class. If 4 students can sit on 1 bench, how many benches are needed for all students ?
Answer:
3 benches needed
Step-by-step explanation:
Answer:
3 benches
Step-by-step explanation:
4 people to one bench
12 people divided by 4 = 3 benches
Please help, will mark brainliest for the correct answer
Answer:
C. 23/21
Step-by-step explanation:
write an Equation that represents the lines
Answer: The answer is Y=3/4x -4.5
Step-by-step explanation: You can find the slope by unsing rise over run by using the points given, you go up 3 and go to the side 4 times to get to the other point. You use tose 2 numbers and put them into a fraction you put it like this(The amount you went up/ the amount you went to the side) the you find where you cross the y-intercept which is 4.5 the you plug it into the point slope formula which is Y=3/4x -4.5
Rewrite the equation in proper standard form equation 1/4x- 3/4y = -3
Solve for c in the proportion.
Answer:
c = 3
Step-by-step explanation:
you have to multiply then divide
9 × 1 = 9
then divide...
9 ÷ 3 = c = 3
there you have it, folks
HELPP!!! I need help!
Answer: c.
Step-by-step explanation:
x^2 + 2x - 5 - (x - 3)
distribute the negative
x^2 + 2x - 5 - x + 3
combine like terms
x^2 + x - 2
Answer:
B
Step-by-step explanation:
You start by Figuring out the answer to each side of the equation by using PEMDAS (parenathes,exponets, mutiplacation, division,addition and subtractoin). then you add your varribles and exponets. Then simplify.
I need Your help plish
Answer:
5
Step-by-step explanation:
Because there is zones
Find the slope help plz
Answer:
The slope would be 10/15 or 2/3 in simplest form.
The sum of 3 consecutive numbers is 72. What is the largest of these numbers?
23
25
26
28
Answer:
25
Step-by-step explanation:
23+24+25=72
hope i helped!! :)
( if it is right, pls mark brainliest!!)
Answer:
25
Step-by-step explanation:
let x represent the first consecutive number.
let x+1 represent the second consecutive number.
let x+2 represent the third consecutive number.
x + x+1 + x+2 = 72
3x + 3 = 72
3x = 72 - 3
3x = 69
3x/3 = 69/3
x= 23
first number= x = 23
second number = x+1
= 23+1
=24
third number= x+2
=23+2
=25
the largest of these numbers is 25
another way to write 2 5/2×4
Answer:
4 1/2(4)
Step-by-step explanation:
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one-eight a number is two more than one-fourth the number. What is the number?
Answer:
40
Step-by-step explanation:
40/4 = 2+40/5 = 10
HELP ITS MATH AND I SUCK AT MATH WILL GIVE BRAINLIEST :)))))
Answer:
i believe it's A. f(x) slope is greater than g(x) slope
Step-by-step explanation:
the slope of f(x) is -2, while g(x) is -6. you may think "why isn't -6? 6 is bigger, isn't it?" In this case, they're both negative so the number closer to zero is the greater one
Answer:
A
Step-by-step explanation:
what is the answer to 9/11 - 4/11
Answer:
the answer is approximately 0.4545
Step-by-step explanation:
I just searched it on google. i got you my guy
Answer: 5/11
The denominator (bottom number) stays the same when adding or subtracting fractions. In this case, you simply subtract 4 from 9 and get 5, which is your numerator (top number).
So: 9/11 - 4/11 = 5/11
Four out of nine dogs weigh less than 20 pounds.
What is the decimal equivalent for the number of dogs weighing less than 20 pounds
Answer:
.44 repeating would be your decimal of dogs that weigh under 20 pounds.
Step-by-step explanation:
Answer:
.44
Step-by-step explanation:
Part C: Create a graph that represents the solutions to the equation from Part A
Answer: Dear friend google
Step-by-step explanation: search it up
A washer and a dryer cost combined $664 The washer costs $36 less than the dryer. What is the cost of the dryer?
Answer: 350?
Step-by-step explanation:
664-36=628
628 divided by 2= 314 (cost of the washer)
314+36= 350
Hope this helps!
Evaluate the equation for the indicated value, f(n)=5n+8 for f(4),
The value of the function f(n)=5n+8 for f(4) will be 28.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-
f(n)=5n+8
f(4) = ( 5 x 4 + 8 )
f(4) = 20 + 8
f(4) = 28
Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.
To know more about functions follow
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Five times the sum of a number n and seven
Hint- you need parenthesis
The equation of the problem is [tex]5(n+7)[/tex]
The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.
What is 7/8 x 4/5 divided by 7/20
Answer: 2
Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.
Carlos buys a box of frozen flavored ice sticks. 2/5 of the ice sticks are blue raspberry. Of the remaining ice sticks, 1/3 are grape, and the rest are cherry. If there are 48 blue raspberry and cherry flavored ice sticks altogether, how many ice sticks total are in the box?
Given:
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
There are 48 blue raspberry and cherry flavored ice sticks altogether.
To find:
The total number of ice sticks.
Solution:
Let x be the total number of ice sticks.
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Blue raspberry [tex]=\dfrac{2}{5}x[/tex]
Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]
[tex]=\dfrac{3}{5}x[/tex]
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]
[tex]=\dfrac{1}{5}x[/tex]
Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]
[tex]=\dfrac{2}{5}x[/tex]
There are 48 blue raspberry and cherry flavored ice sticks altogether.
[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]
[tex]\dfrac{4}{5}x=48[/tex]
[tex]x=48\times \dfrac{5}{4}[/tex]
[tex]x=60[/tex]
Therefore, the total number of ice sticks is 60.
please help this is very urgent!!! :((((
Answer:
7
Step-by-step explanation:
x = 2
3x/2+4
3(2)/2 + 4
3+4
7
Evan is going to the county fair this weekend. The admission to the fair is $5 and the cost per
ride is 50¢. If his parents gave him $20, write and solve a linear equation to find how many
rides he can go on.
Answer:
I think 40
Step-by-step explanation:
20/.50
Answer:
30 rides
Step-by-step explanation:
First subtract $5 from $20 (20-5) to get $15 now multiply 15 by 2 (which is the same as dividing by 1/2. and you get 30. so your answer is 30 rides
20-5=15 15x2=30 30 rides
3.4 x 10^3 in standard notation
Answer:3400
Step-by-step explanation:
Answer:
3240
Step-by-step explanation:
3.24
×
10
3
=
3.24
×
1000
This means you move the decimal spot 3 digit spaces to the right.
Count 3 spaces:
3.2.4.0 →
3240
So then your number becomes
3240
His supplies cost him $3.25 for a pitcher of lemonade. To make a profit, Ryan will apply a 68% markup. Which is the amount of markup Ryan will add?
helpp
Answer: 212.50%
Step-by-step explanation:
The product of a number and is 3 Find the number.
Your answer