Answer:
[tex]y = \frac{1}{2}x^{2} - 3x + 11.5[/tex]
Step-by-step explanation:
Vertex Form of a quadratic equation;
[tex]y = a( x - h )^{2} + k[/tex]
Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;
[tex]y = a ( x + 3 ) ^{2} + 7[/tex]
Now substitute in the given point; ( -1, 9) and solve for a;
[tex]9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7 -7\\2 = 4a\\\frac{1}{2} = a\\[/tex]
Hence the equation in vertex form is;
[tex]y = \frac{1}{2}(x - 3)^{2} + 7[/tex]
In standard form it is;
[tex]y = \frac{1}{2}x^{2} - 3x + 11.5[/tex]
Someone plz help me have a great day ツ
Answer
What’s your scratch username
Answer:
11 weeks and 3 days
Write the ratio as a fraction in simplest form.
51:9
Answer:
The ratio of 51:9 in it's simplest form is 17:3.
b) 7+2x/3 =5
helppppp
Answer:
4
Step-by-step explanation:
7+2x/3=5
7+2x. = 15
2x. =8
x. = 4
i hope it is helpful
Answer:
[tex] \frac{3x + 4}{2} = 9.5 \\ 3x + 4 = 19 \\ 3x = 15 \\ \boxed{x = 5}[/tex]
[tex] \frac{7 + 2x}{3} = 15 \\ 2x + 7 = 45 \\ 2x = 38 \\ \boxed{x = 19}[/tex]
What is the value of 80 + 57
Answer:
137
Step-by-step explanation:
Add 80 and 57.
(a) The perimeter of a rectangular garden is 314 m.
If the length of the garden is 85 m, what is its width?
(b) The area of a rectangular window is 4800 cm
2
If the width of the window is 64 cm, what is its length?
Answer:72 for the garden and 75 for the window
Step-by-step explanation:
Simpily the expression below: 2(4x + 5y)
Answer: 8x+10y
Step-by-step explanation:
2(4x)= 8x
2(5y)= 10y
8x+10y
Which of the following best describes the graph below?
Answer:
The correct option is;
A. It is a one-to-one function
Step-by-step explanation:
A function f(x), is a one to one function when each value in the range is given by each unique value in the domain such that each "x" value produces a unique "y" value.
The given graph has a domain of -2 ≤ x < ∞
Within the domain plotted in the graph, all lines with equation "x" = -2, -1, 0..., 4, 5 crosses the graph only once, therefore, for each value of "x", there is only one value of "y", which gives the relationship between the "x" and "y" values as one to one function
Hlppppppppppppppppppppppp
Answer:
B, C, D, E
Step-by-step explanation:
Help quick what's 9+10
9+10=19.............
Nicole has $35.80 and spends $5.92 on a book. She puts half of the remaining money in her bank.
How much money does Nicole put in her bank?
$11.98
$14.94
$17.90
$29.88
Answer: 14.94
Step-by-step explanation:
35.80 - 5.92 = 29.88
29.88 divided by 2 gives you
14.94
Answer:
$14.94
Step-by-step explanation:
35.80-5.92=29.88
29.88/2=14.94
Rhonda bought 16.72 meters of yarn from the fabric store. She cut the yarn into 11 pieces of equal length. What was the length of each piece of yarn in meters?
How do we find the area of a rectangle ?
Answer:
Length multiplied by the width
Step-by-step explanation:
Answer:
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
1) Positive, negative, zero or undefined?
Answer:
I would say zero or undefined
Step-by-step explanation:
Answer:
c, zero slope
Can someone please help me. It’s hard and I don’t understand.
9513 1404 393
Answer:
changes by 120 for each copyis 1800 if none are soldStep-by-step explanation:
Let's look at the second question first.
x is the number of copies Chau sells. If he doesn't sell any copies, then x = 0. To find Chau's pay, we use x=0 in the equation, and solve for y.
120×0 +1800 = y
0 +1800 = y
1800 = y
Chau's pay when he sells no copies is $1800.
__
If Chau sells 1 copy, then his pay is ...
120×1 +1800 = y = 1920 . . . . . . . use the equation with x = 1
The increase in Chau's pay is 1920 -1800 = 120.
Chau's pay changes by $120 for each copy he sells.
PLS OMG HELP ME ITS DUE SOON im gonna cry if no one helps, ive been posting these questions all day and no ones actually answering ahauhaiuhshsksjs bye ill just fail
Answer:
X-Intercepts of the function.
Step-by-step explanation:
You'll do well to remember that. Good luck! I hate math!
Answer:
x intercept
Step-by-step explanation:
In a survey of 2,200 people who owned a certain type of car, 440 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
nothing% of the people surveyed were satisfied with the car.
Answer:
20%
Step-by-step explanation:
20% of people were satisfied with the car.
Kate started with a piece of bubblegum that was 5/8 in wide. She later blew a bubble that was 2 7/8 in wide. How much wider was Kates bubble than the original price
Answer:
9/4 or 2 1/4
Step-by-step explanation:
2 7 /8 -5/8 which gives you 9/4
ABCD is a parallelogram. AB = x + 16, AD = 4y – 4, CD = 2x + 8. If the perimeter of ▱ABCD is 80, find the value of y.
Answer:
Coronavirusss
Step-by-step explanation:
Stay at home :D
Math. Help I really need this giving brainliest to the person with the correct answer, please explain your answer..
Answer:
It is A
Step-by-step explanation:
You have 4 muffins or 4m with a 2 dollar off coupon so therefore it is 4m-2
Answer:
4m-2
Step-by-step explanation:
The cost, m, is subtracted by 2. There are 4 muffins being bought, so the term would be 4m, making the equation 4m-2.
PLS! ANSWER ASAP!!! 45 POINTS!
Answer:
3. is 5
4. is 18
5. is 8
Step-by-step explanation:
i did try so forgive me if im wrong
Write the equation of the line with the given slope and y intercept.
m = 0.25 b = 6
Answer:
y=−2x+6
Step-by-step explanation:
the equation of a line in slope-intercept form is. y=−2x+6 is the equation.
A manufacture of spark plugs how's it going producing less than 2% affective ones. Of the last 8000 spark plugs, 13 were defective. a. What is the experimental probability that the next sparkplug will be defective? b. Did the manufacture reach his goal? Explain.
Answer:
P = 0.001625
yes, it did
Step-by-step explanation:
given data
affective ones = 2%
spark plugs = 8000
defective = 13
to find out
experimental probability that the next sparkplug will be defective and Did the mannufacturer reach its goal
solution
we know that there are 13 are defective out of 8000
so P = 13 ÷ 8000
P = 0.001625
so that P( the next sparkplug will be defective) is = 0.001625
and
yes, we mannufacturer to reach goal
because 0.001625 < .02
So, the goal is reached as the experimental probability is less than 2%
Each day, you do homework for m minutes and watch tv for 30 minutes. Which expression can you use to find how many minutes you do both activities in 5 days? Explain your reasoning.
Which scales are equivalent to 1 inch to 1 foot? Select all that apply. Group of answer choices 1 to 12 (1/12) to 1 100 to 0.12 5 to 60 36 to 3 9 to 108
Answer:
1 to 125 to 609 to 108Step-by-step explanation:
There are 12 inches in one foot so the equivalent ones are:
1 to 12
This shows that there are 12 inches in one foot so is equivalent.
5 to 60
5/60 = 1/12
This is equivalent because it shows that 12 inches are required to make a foot.
9 to 108
9/108 = 1/12
This is also equivalent for the same reasons as above.
HELP PLEASE!!!!!!!
A restaurant sells 10 garden salads. If garden salads represent 20% of their total salad sales, how many salads did they sell?
7x(42-22) +32 +4
please show work-
Answer:
140x+36
Step-by-step explanation:
hope this helps :)
what is the volume of the rectangular prism?
Answer:
3[tex]\frac{3}{4}[/tex] cm³Step-by-step explanation:
I need help cause I’m lazy to do it myself it’s 4 in the morning
Answer:
C. Mario should have multiplied the x-values by $6.50 to get the y values.
Step-by-step explanation:
Let's do it the way they said. If we were to multiply 1 by 65, it would be $65. If we did the same thing for 2, 2 x 65 is $130. This is incorrect because these values do not match up with the ones on the graph.
Decimal points are important in this case because it completely changes your answer. When you multiply 1 by 6.50, you get 6.50. Which is what's on the graph. Multiply 2 by 6.50 and you'll get $13, and so on.
So now we can conclude that the mistake Mario made was that he multiplied x by the wrong value (65), when it should have been $6.50.
Note: Hope this helps! Good luck on your test. :)
The graph of a proportional relationship is given along with an
equation for a different relationship. Which situation has a greater
unit rate?
Answer:
i thnk its a...but i could be wrong..
Step-by-step explanation:
Answer:
The answer should be B cuz it's different relationship
Step-by-step explanation:
19) Find the acros F(x) = x4 + 8x? -
Answer:
F'(x)=4x3+16x
Step-by-step explanation:
