Answer:
y = - 12(x + 3)² + 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 3, 7 ), thus
y = a(x - (- 3))² + 7 , that is
y = a(x + 3)² + 7
To find a substitute (- 2, - 5) into the equation
- 5 = a(- 2 + 3)² + 7 ( subtract 7 from both sides )
- 12 = a(1)² = a
y = - 12(x + 3)² + 7 ← equation in vertex form
Find the equation of the line
Y= __x +__
Answer:
y = 1x - 5
m = 1, b = -5
Step-by-step explanation:
This equation that we are solving form is known as slope intercept form: y = mx + b.
Given a graph that intersects the x axis at -5, rises one y every one run of x, the slope must be one as the point where (0,-5) → (1,-4) → (2,-3) → (3,-2)..... you can see that y, and x change by positive one every time, so this is the reasoning. A linear equation is always straight so it's slope is always the same, so you can just pick two points and find the difference in x, and y values to get the slope. Think about it like this, you start with negative five and go up one each x. Therefore, your equation is y = x - 5. As a coefficient of 1 or slope of 1 will leave x by itself since multiplying anything by 1 is itself.
15 points! Please I need some help this is due ...
Answer:
The answer above is correct
A cubic function is stretched by a factor of 0.4, opening downward and
shifted 10 units down and 5 units left.
Answer:
the answer is in the link
Step-by-step explanation:
https
bxaha zshkkkvxxxkvvvvwuqgceuuuegieg DONT KNO
is 27/2 a rational number?
HELP!
May somebody please help me
Answer:
I can't see the options
Step-by-step explanation:
1. Identify the graph that represents the system of
linear equations
I need help with this
Answer:
a and d
Step-by-step explanation:
pls mark brainliest
estimate then divide 36712 divided by 52
Answer:
7060 Step-by-step explanatiojo:
Suppose at age 22 mort starts investing 200$ at the end of each month into a savings plan with an apr of 2.9% and he continues to do so through the next 43 years ( planning to retire at age 65). How much will be in his savigns plan towards retirement? How much of his balance was from the interested loans
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Monthly Payment (PMT) = 200 at the end of each period
interest rate = 2.9% = 0.029/12 = 0.0024166
Period (n) = 43 years x 12 = 516
Using the future value(FV) of an ordinary annuity:
FV = PMT[(1 + r)^n - 1] / r
FV = 200[(1 + 0.0024166)^516 - 1] / 0.0024166
FV = 200[(1.0024166)^516 - 1] / 0.0024166
FV = 200(2.4745372) / 0.0024166
FV = 204,794.93
Amount which will be in saving plan towards retirement = $204,794.93
Interest amount :
$204,794.93 - total monthly deposits
$204,794.93 - (200 * 516)
$204,794.93 - $103,200
= $101,594.93
30 students in a class took a math test 24 students pass the test what percent past
Answer:
80% passed
Step-by-step explanation:
1. 24 out of 30 passed
2. In order to make it a % you have to multiply
3. 100 * 24/30
4. = 2400/30
5. Therefore the answer is 80
the difference between seven and a number is four. HELP ME!
Answer:
3.
Step-by-step explanation:
Difference means subtract. So your question is 7 - 4 and that is 3.
Answer:
3
Step-by-step explanation:
Let the number be x
7-x=4
-x=4-7
-x = -3
x=3
Suppose Jane's mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.
Answer:
six[6] snack packs.
Step-by-step explanation:
Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.
In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the Greatest Common Factor.
STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.
The factors of 18 = 1, 2, 3, 6, 9 and 18.
The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.
STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.
For the three lists, the greatest factor common to them is 6.
Therefore, The greatest number of snack packs Jane can make is six[6] snack packs
The following are the last 10 run scores Colin got in cricket:
1, 25, 27, 3, 23, 25, 5, 9, 26, 27
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 5 runs.
What is his new mean score?
Give your answers as decimals
Answer:
a) 18.8
b) 20
I hope this helps :) Let me know if it's right!
Answer:
17.1
Step-by-step explanation:
Given parameters:
Scores of Colins:
1, 25, 27, 3, 23, 25, 5, 9, 26, 27
A. Colin's mean score;
The mean is the sum of all values divided by the number of values in a given set;
Mean = [tex]\frac{1 + 25 + 27 + 3 + 23 + 25 + 5 + 9 + 26 + 27}{10}[/tex]
Mean = [tex]\frac{171}{10}[/tex]
Mean score = 17.1
PLEASE HELP IF YOU GET RIGHT I GIVE BRAINLIEST
Answer:
i think 36
Step-by-step explanation:
brainliest?
Answer: 36
Step-by-step explanation:
45-27=18
18+18=36
Help me !!! Solve: 3b − 2 = 7
Answer:
B=3
Step-by-step explanation:
Neuma has a container that held 9/54 of a kilogram of rainbow sprinkles she divided the sprinkles Evenly to put on top of the 9 servings of ice cream that she was making for her friends at the sleepover.To determine the weight of each serving neuma performed the calculations below she concluded that each serving weighs 1/6 of a kilogram. What is Neumas error?
Answer:
c. neuma should have only divided 9 by 9, not 54 by 9.
Step-by-step explanation:
Neuma had a container that held 9/54 of a kilogram of rainbow sprinkles. she divided the sprinkles evenly to put on top of the 9 servings of ice cream that she was making for her friends at the sleepover. to determine the weight of each serving, neuma performed the calculations below. she concluded that each serving weighs 1/6 of a kilogram. what is neuma’s error?
a. neuma should have multiplied by 54, not divided.
b. neuma should have multiplied by 9, not divided.
c. neuma should have only divided 9 by 9, not 54 by 9.
d. neuma should have only divided 54 by 9, not 9 by 9
Neuma's calculation
9/54
= 1/6
Kilogram of rainbow sprinkles = 9/54
Ice cream servings = 9
Correct calculation
Weight of each servings = total weight / number of servings
= 9 / 54 ÷ 9
= 9 / 54 × 1 / 9
= 1 / 54
Each servings = 1/54 kilogram
c. neuma should have only divided 9 by 9, not 54 by 9.
Answer:
c
Neuma should have only divided 9 by 9, not 54 by 9.
In her last two years in college, Marlene received $42,000 in loans. The first year, she received a loan that was $6,000 less than three times the amount of the second year's loan. Call the amount that Marlene received her first year f and the amount she received in her second year s.
Answer:
First year = 30000
Second year = 12000
Step-by-step explanation:
Given
[tex]Loan = \$42000[/tex]
Represent first year with f and second year with s.
So, we have:
[tex]s + f = 42000[/tex]
and
[tex]f = 3s - 6000[/tex]
Required
Solve for f and S
Substitute 3s - 6000 for f in the first equation.
[tex]s + f = 42000[/tex]
[tex]s + 3s - 6000 = 42000[/tex]
[tex]4s - 6000 = 42000[/tex]
Collect Like Terms
[tex]4s = 42000 + 6000[/tex]
[tex]4s = 48000[/tex]
Solve for s
[tex]s = 48000/4[/tex]
[tex]s = 12000[/tex]
Substitute 12000 for s in [tex]f = 3s - 6000[/tex]
[tex]f = 3 * 12000 - 6000[/tex]
[tex]f = 36000 - 6000[/tex]
[tex]f = 30000[/tex]
Please help???
-x + y=1
2x+y=-2
Answer:
(x, y) = (-1, 0)
Step-by-step explanation:
Here:
1. -x + y = 1
2. 2x + y = -2
so just temporarily....
multiply #1 by 2
and
multiply #2 by 2
1. -2x + 2y = 2
2. 4x + 2y = -4 then subtract top from bottom.
-6x + 0 = 6
-6x = 6
x = -1
Then implement x = -1 into the original state of #2
2. 2(-1) + y = -2
-2 + y = -2
y = -2 + 2
y = 0
(x, y) = (-1, 0)
WooHoo! pls brainliest ;) !
Write 3 in factor form.
-------
4
3 × 3 × 3 × 3
3 × 4 = 12
4 × 4 × 4
4 × 4 × 4 × 4
Answer:
c
bc u have to multiple 4 three times if u do b then it’s going to be wrong
Step-by-step explanation:
Answer:
c
bc u have to multiple 4 three times if u do b then it’s going to be wrong
Step-by-step explanation:
A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.The equation represents the relationship between these quantities. List the facts. * 4c + 5 = 27
Step-by-step explanation:
Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as
4c+5 = 27
From the equation, the constant value of 5 represents the calories in grams of the rest of the ingredients present in the bite.
Let us calculate the value of c from the equation
4c+5 = 27
4c + 5- 5 = 27-5
4c = 22
c = 22/4
c = 5.5
This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate
Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.
Help me with this it is hard
Answer:
the third choice is the correct one because if you 3 ÷ 8 = 0.375. 0.375 × 100 = 37.5%
Help plz due soon IDK what to do
how to find slope
its not that clear for me to solve but i can tell you how to solve and you fill the numbers in... sry
(x1,y1) (x2,y2) - find two different points
y2-y1/x2-x2=slope of the line
or
to find it you can do the rise divided by the run
im sry if this doesnt help :(
9514 1404 393
Answer:
-2/3
Step-by-step explanation:
First, you find places where the graphed line crosses grid intersection points. One obvious choice is the point (0, 0), since the line goes through the origin. (Here, we wanted to avoid interference with our notations by the axis labels, so we chose points away from the origin.)
Then, you draw a right triangle with the two points you found as ends of the hypotenuse. Use grid lines for the legs of the triangle. For purposes of "rise" and "run", it is convenient to draw the triangle to the right of the graphed line.
The "rise" is the vertical distance between the grid crossings. In this graph, that is -2 units. The sign is negative because the right-most point is below the left-most point.
The "run" is the horizontal distance between grid crossings. In this graph, that is 3 units. If you have drawn the triangle to the right of the graphed line, that will be +3 units.
So, the slope is the ratio of "rise" to "run":
m = rise/run = slope = -2/3
The linear function m=55-8.5b represents the amount m (in dollars) of money that you have after buying b books. Find the domain of the function. Is the domain discrete of continuous? Explain.
Answer:
The domain is (-∞ , ∞)
The domain is continuous
Step-by-step explanation:
Here, we want to identify the domain of the linear function
The domain in this case can be represented by the set of all real numbers.
When we talk of the domain of a function, we are simply referring to the the range of values between the smallest value on the x-axis and the largest number on the x-axis
Hence, mathematically, we are simply considering the smallest value of b up to the largest value of b in this case. Where b simply represents the number of books
Thus, the domain here will be (-∞ , ∞)
On if the domain is discrete or continuous, we can see that the domain is continuous.
The domain is continuous simply because, the domain we have contains all the values and not some in the set of real numbers. If it had contain only some, then it would have been discrete. But since it contains all, it is continuous
What is the y-intercept if the line?
A. 0
B. -2
C. 1
D. 1/2
Answer:
A.
Step-by-step explanation:
The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis. ... A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4).
⚠️HURRY⚠️
write an equation that matches this graph in Slope-Intercept Form
Answer:
y = -1/4x+2
Step-by-step explanation:
Answer:
y = -1/4x + 2
Step-by-step explanation:
We can tell that the line passes trough the point (0, 2), so the y-intercept is 2.
Let's calculate the slope by using rise over run. We see for every one unit down, it goes 4 units to the right. It also goes downward, so the slope is negative. So the slope is -1/4. Put it together...
y = -1/4x + 2
Hope this helps!
Ray has football practice on Mondays, Wednesdays, and Fridays. The clocks
below show when practice starts and ends. How many minutes does Ray spend
at football practice each week?
A:180
B:45
C:225
D:135
Answer:
C: 225
Step-by-step explanation:
Practice is 75 minutes each day and Ray practices three days a week so multiply the time by three.
Ray spends 135 minutes in football practice.
What is time conversion?The time required to read in data from one code into another code.
Given:
Ray starts practicing at 3:30
Ray ends his practicing at 5:45
So, difference between these slots will be
=30 min + 60 min + 45 min
=135 minutes
Hence, ray spends 135 minutes in football practice.
Learn more about time conversion here:
https://brainly.com/question/4296940
#SPJ2
Topic is Solving Systems by Elimination. Need the work
- 7x + 3y =- 24
2x - 4y =- 12
Which of the following must always be true about vertical angles
Answer:
It is always a strait line going up.
Step-by-step explanation:
Answer:
vertical angels
angles opposite each other where two lines cross.
plz mark brainliest
Step-by-step explanation:
can someone please help me i begging :(
Answer:
x=-8
Step-by-step explanation:
pls give me brainliest
Answer:
-2x+ 8 = 10.
Simplified answer: 8.
I tried my best.
Step-by-step explanation:
Question 13 - 8 Points
Oct 16, 10:44:33 PM
The Cowboys have 300 followers on social media. Hey are gaining 25 per day. The
Saints have 700 followers, but are losing 15 per day. How many days will it take for
the teams to have the same number of followers?
O 10
O 15
Submit Answer
O 25
O 6
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Copyright 2020 Delta
Answer:
10 days: ofc there is an easier way to do this but i did my own way down below :)
Step-by-step explanation:
in 1 day
cowboys: 300+25 is 325
saints: 700-15=685
in 2 days:
cowboys: 325+25 is 350
saints: 685-15 is 670
in 3 days:
cowboys: 350+25 is 375
saints: 670-15 is 655
in 4 days:
cowboys: 375+25 is 400
saints: 655-15 is 640
in 5 days:
cowboys: 400+25 is 425
saints: 640-15 is 625
in 6 days:
cowboys: 425+25 is 450
saints: 625-15 is 610
in 7 days:
cowboys: 450+25=475
saints: 610-15 is 595
in 8 days:
cowboys: 475+25 is 500
saints: 595-15 is 580
in 9 days:
cowboys: 500+25 is 525
saints: 580-15 is 565
in 10 days:
cowboys: 525+25 is 550
saints: 565-15 is 550
in 10 days, they will have the same number of followers