Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.
However, I'll solve for the vertex of the given function.
Given
[tex]y = -9.5x^2 + 47.5x + 63[/tex]
Vertex, V is of the form:
[tex]V= (h,k)[/tex]
Where
[tex]h = -\frac{b}{2a}[/tex]
and
[tex]k = f(h)[/tex]
Solving for h:
[tex]y = -9.5x^2 + 47.5x + 63[/tex]
[tex]y = ax^2 + bx + c[/tex]
So:
[tex]a = -9.5[/tex]
[tex]b = 47.5[/tex]
[tex]c = 63[/tex]
[tex]h = -\frac{b}{2a}[/tex]
[tex]h = -\frac{47.5}{2 * -9.5}[/tex]
[tex]h = -\frac{47.5}{-19}[/tex]
[tex]h = \frac{47.5}{19}[/tex]
[tex]h = 2.5[/tex]
Solving for k
[tex]k = f(h)[/tex]
[tex]k = f(2.5)[/tex]
Substitute 2.5 for x in [tex]y = -9.5x^2 + 47.5x + 63[/tex]
[tex]k = -9.5 * 2.5^2 + 47.5* 2.5 + 63[/tex]
[tex]k = -59.375+ 118.75 + 63[/tex]
[tex]k = 122.375[/tex]
Hence:
The vertex is
[tex]V = (2.5,122.375)[/tex]
Answer:
if ur doing savvas
Step-by-step explanation:
answer for the first one is:
Micah used the wrong sign for b in the formula x=-b/2a
answer for the second one is:
vertex is = (-2.5, 122.375)
A bucket holds 10 potatoes. Hal removes and cleans 4 potatoes per minute.
Write the explicit definition for the sequence that represents the potatoes left
in the buck after n minutes ?
Answer:
an = 10 – 4(n – 1)
Step-by-step explaination
answer is an = 10 – 4(n – 1)
4X + 2( X+ 7) = 5(X-3) *
Answer:
x= -29
Step-by-step explanation:
hi! let's start off by distributing.
4x+2(x+7)=5(x-3)
4x+(2x+14)=5x-15 combine like terms
6x+14=5x-15 subtract 5x on both sides
x+14=-15 subtract 14 on both sides
x= -29
there's your answer!
Answer:
x = -29
Step-by-step explanation:
4x + 2x +14 = 5x - 15
6x + 14 =5x - 15
x = -29
Please correct me if I'm wrong.
Assume the two lines ↔AB and ↔XY intersect as in the diagram below. Which of the following statements are true?
Check all that apply.
f(x)=−2(x+4)
What is the value of f(−1)?
Ivanna pumped 6 gallons of water out of her pool each minute for 36 minutes. What was the total change in the amount of water in the pool?
Answer:
Step-by-step explanation:
-6 gallons per minute
there is less water since she is pumping OUT water
-216 gallons are pumped out since -6*36 is -216
Answer:
216 gallons lost
Step-by-step explanation:
6*36=216
per minute=36 mins
Evaluate the expression if m=4 n=3 and p=2
5m-4n+p=
Answer:
[tex]10[/tex]
Step-by-step explanation:
[tex]5m-4n+p[/tex]
You would substitute in the given values and then combine like terms
[tex]m=4\\n=3\\p=2[/tex]
[tex]5(4)-4(3)+(2) = 20-12+2=10[/tex]
Solve the following quadratic equation by factoring.
x^2 - 5x = 14
(Answers are in photo)
10 points!!!
Please explain how you got your answer.
Answer:
x = 7, -2
Step-by-step explanation:
Factor and set each factor equal to 0==========================================
Work Shown:
x^2 - 5x = 14
x^2 - 5x - 14 = 0
(x-7)(x+2) = 0 .... this step is further explained below
x-7 = 0 or x+2 = 0
x = 7 or x = -2
The order of the solutions does not matter.
-------------------------
To factor x^2-5x-14, we need to find two numbers that multiply to -14 and add to -5. This is done through trial and error. I recommend making a table to help organize everything. See the diagram below.
After a bit of guess work, you should find that -7 and 2 are the two values we're after
-7 + 2 = -5
-7 * 2 = -14
This is why x^2-5x-14 = (x-7)(x+2)
Question 1
Which of the following statements is NOT true?
The ratios of the rise to
the run for the triangles
are equivalent
У.
The slope of Āč is ž
2.
B В
-2
-A
The slope of AB is
different than the
slope of BC.
AB has the same slope
as AC.
Answer:
Option (C)
Step-by-step explanation:
Option (A)
Rise-run ratio from the smaller triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{2}{3}[/tex]
Rise-run ratio from the large triangle = [tex]\frac{4}{6}[/tex]
= [tex]\frac{2}{3}[/tex]
[tex]\frac{2}{3}=\frac{2}{3}[/tex]
Therefore, the ratios of the rise to run are equivalent in both the triangles.
True.
Option (B)
Slope the line AC will be same as segments AB and BC which lie on the same line AC.
Slope of AC = [tex]\frac{2}{3}[/tex]
True.
Option (C)
Since, the segments AB and BC are the parts of line AC
Slope of AB = Slope of BC = Slope AC
Therefore, slope of AB and BC can not be the same.
False.
Option (D)
Since, segment AB is a part line AC, slope of both will be same.
True.
Option (C) is not true.
Answer: The slope of AB is different than the slope of BC
Step-by-step explanation:
That’s the answer
You can answer all if you would like but only a few would be fine as well
Alex can run 9 miles in 3 minutes x I need the equation and constant of porportionality
Answer:
k=9/3= 3
Step-by-step explanation:
Mark me the brainliest please
A recipe uses 834 cups of milk for every 312 cups of oatmeal.
How many cups of milk are used for each cup of oatmeal
Answer:
Around 2.67
Step-by-step explanation:
Dived 834 by 312 and try to simplify
1+1+3+5+9-10+5-39+8=?
Answer:
-17
Step-by-step explanation:
Answer:
-17
Step-by-step explanation:
Use PEMDAS.
Hoped this helped!! <3
simplify the expression:
3 (3 - 4z) =
What is the value of 2|6 + p| - 3p^3 when p = -2?
Answer:p
=
2
,
−
8
7
Decimal Form:
p
=
2
,
−
1.
¯¯¯¯¯¯¯¯¯¯¯¯
142857
Mixed Number Form:
p
=
2
,
−
1
1
7
Step-by-step explanation:
What is the factored form of n3 + 512?
Answer:
x^3-512
Step-by-step explanation:
i seriously hope this helps
Point slope of y=3/4x-7
Answer:
Step-by-step explanation:
Answer:
M= 3/4
Step-by-step explanation:
Take what is before the x and that is you're slope.
Which numbers are rational?
Answer:
1, 4, 5
Step-by-step explanation:
a rational number is defined as a number that can be written as a fraction. so, 4 and 5 are automatically checked off. 1 also simplifies to plus or minus 11, which is a whole number, meaning it is automatically rational. 2 is not rational because there is no set pattern in the decimal, so it can not be written as a fraction. 3 is the same thing, so it is irrational.
Please HELP!!
Calculate the slope and in your notebook graph the rates of change for the three cars.
Car B travels 189 miles in 3 hours and 315 miles in 5 hours.
The unit rate is ____ miles per hour
Answer:
Alright
First,do Car B's equation first which is 189 divide 3 and 315 divide 5
Step-by-step explanation:
189 divide 3 is 63
315 divide 5 is 63
The unit rate is 63 miles
And aren't there supposed to to Car A and C?
What is (w-2)/w=3/6
w=?
Answer:
W=4
Step-by-step explanation:
A gardener has ten plants (four tomato, two pepper, and four cucumber) to put in her garden. If she chooses the plants at random, what is the probability that the first one is a tomato plant, and the second one is a cucumber plant?
Answer:
8/45
Step-by-step explanation:
Given that:
Total Number of plants = 10
Number of tomato = 4
Number of pepper = 2
Number of cucumber = 4
If two plants are chosen at random:
Assume it is picked without replacement :
P(first is tomato plant) :
Recall : probability (p) = required outcome / Total possible outcomes
P(first is tomato plant) = 4 / 10 = 2/5
P(second is a cucumber plant) :
Number of plants = (10 - 1) =9 after first pick
P(second is a cucumber plant) = 4 / 9
Hence,
P(first tomato and second cucumber) = 2/5 * 4/9 (independent events)
2/5 * 4/9 = 8/45
Answer:
Also, the answer is 17.78%
Who can read my work?
Answer:
kinda hard to understand :)
Step-by-step explanation:
7x = -84
Solve the equation
Answer:x = -12
Step-by-step explanation:<!>BRAINLIEST APPERICATED<!>
Answer:
x=−12
Step-by-step explanation:
can you mark me as branlest if right
Find the average rate of change of g(x) = 4x + 13 over the interval [-3, 0].
Write your answer as an integer, fraction, or decimal rounded to the nearest tenth. Simplify
any fractions.
Answer:
4
Step-by-step explanation:
To estimate the mean number of text messages sent by cell-phone users, a researcher chooses a location on a college campus in the city and surveys the first 50 people who walk past. These subjects are asked how many text messages they have sent in the past 24 hours. Is it likely that bias will be present in the sample?
Possible Answers:
A:Because this is a convenience sample, it is likely that the sample results will be unbiased.
B:Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
C:Because this is a convenience sample of college students, it is likely that bias is present and that the results will underestimate the mean number of text messages sent.
D:Because this is a voluntary response sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
Answer:
the answer is B :)
Step-by-step explanation:
edgen 2020
Jim and Mary saw a commercial on TV for a cruise line. The longer trip costs ???. The shorter trip costs only $1,629. How much less will Mary and Jim spend if they take the shorter ocean trip? If the answer is $529, find the number that will correctly replace ???.
Answer:
$2158 dollars.
Step-by-step explanation:
The longer trip would cost $2158 dollars, because if you add the total difference of the two costs with the cost of the shorter trip, your answer would be $2158 dollars.
What is the product?
254
X 47
O 11,618
O 11,818
O 11,838
O 11,938
Choose the student who wrote the correct inequality.
Vrinda made over 90% of her free throws during the basketball game.
Isidro's work. F = 90.
Kimani's work. V less-than 90.
Tori's work. P greater-than 90.
Answer:
Tori
Step-by-step explanation:
if youre making over 90 percent of your free throws, then any number (P) greater than 90 is the answer
Can someone please help me pleaseee
Answer:
B. 55
Step-by-step explanation:
The angle measurements on the top are the same as the bottom, so we know the angle next to (x+70) is 55. You then subtract 55 from 180 and you are left with 125. Then you have to subtract 70 to find x, which gives you 55. Therefore, x=55
Jenny is picking apples to make apple pie. The amount of
apples that she needs to pick varies directly with the
number of pies she plans to bake. If Jenny needs to make 12
apple pies, she will need to pick 42 apples. How many apples
would she need to pick if she was only making 8 pies?
If my emplover offers to pay me using a payroll card, do I have to accept
It?