Answers
Answer:
the x- coordinate of the turning point is - [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given
y = x² + bx + c with y- intercept = (0, - 14 ) then c = - 14 , so
y = x² + bx - 14
To find b substitute (2, 0 ) into the equation
0 = 2² + 2b - 14
0 = 4 + 2b - 14
0 = - 10 + 2b ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
5 = b , then
y = x² + 5x - 14
Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the turning point is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 5x - 14 ← is in standard form
with a = 1 and b = 5 , then
x- coordinate of turning point = - [tex]\frac{5}{2}[/tex]
Related Questions
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8
ownload
Alex, Kiri, and Caleb played a computer game together. Alex scored
758 points more than Kiri. Kiri scored 912 points fewer than Caleb. Their
total score was 8,450 points. How many points did Caleb score?
758
758
+ *
-912
1670
7 13 Ls
suso
1670
6 7 8
Alex
gia
Kiri
Answers
Answer:
wiwheieneodjdhdjsoeke8ejso
What is the quotient?
703515
Answers
The quotient between 7035 and 15 is of 469.
What is the question?The questions asks the quotient between two numbers, which are 7035 and 15.
How to find the quotient between two numbers?The quotient between two numbers, a and b, is given by the division of a by b, that is:
q = a/b.
In this problem, we want to find the quotient between 7035 and 15, hence the division is:
7035/15 = 469.
The quotient between 7035 and 15 is of 469.
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What times what equals -7
Answers
Answer:
-7 x 1
hope that helped <3
-7 times one is equal to minus seven.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find what times what is -7.
Whenever we see a times in an expression its nothing but multiplication.
Multiplication is a method of finding the product of two or more numbers
We need to find the two numbers whose product will be equal to minus seven.
We know that there is only one possibility.
-7×1=-7
and 1×-7=-7
Hence ,-7 times one is equal to minus seven.
To learn more on Equation:
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What is the graphical evidence of sequence
Answers
Answer:
11:02
If a sequence s which is the sequence D 1 up to DN is a degree sequence of some graph then the sequence s is called the graphical
A firm’s production function is
Q = 50L − 0.01L2
where L denotes the size of the workforce. Find the value of MPL in the case when
(a) L = 1 (b) L = 10 (c) L = 100 (d) L = 1000
Answers
The value of MPL for the various cases are;
A) MPL = 49.98
B) MPL = 49.8
C) MPL = 48
D) MPL = 30
We are given;
Q = 50L - 0.01L²
Now MPL means marginal product of labor and it is defined as the derivative of Q with respect to L. Thus;
MPL = dQ/dL = 50 - 2(0.01L)
A) When L = 1;
MPL = 50 - 2(0.01 × 1)
MPL = 49.98
B) When L = 10;
MPL = 50 - 2(0.01 × 10)
MPL = 49.8
C) When L = 100
MPL = 50 - 2(0.01 × 100)
MPL = 48
D) When L = 1000
MPL = 50 - 2(0.01 × 1000)
MPL = 30
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what is the answer / product of 8x2
Answers
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8*x^2-(8)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
23x2 - 8 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
8x2 - 8 = 8 • (x2 - 1)
Trying to factor as a Difference of Squares:
3.2 Factoring: x2 - 1
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 1 is the square of 1
Check : x2 is the square of x1
Factorization is : (x + 1) • (x - 1)
Equation at the end of step
3
:
8 • (x + 1) • (x - 1) = 0
STEP
4
:
Theory - Roots of a product
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Equations which are never true:
4.2 Solve : 8 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.3 Solve : x+1 = 0
Subtract 1 from both sides of the equation :
x = -1
Solving a Single Variable Equation:
4.4 Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
Two solutions were found :
x = 1
x = -1
is y = -2x + 7 a relation or function
Answers
Answer:
It is a relation and a function.
Step-by-step explanation:
The domain of y = -2x + 7 is the set of all real numbers (assumed to be).
For each x real, the equation y = -2x + 7, means that exactly one real number is associated with x. Thus, it is a function. We note that a function is a special type of relation.
fifty nine million four hundred seventy five thousand six hundred forty three in standard form
Answers
Answer:
59,475,643
Step-by-step explanation:
Jacob made lemonade for his birthday party. He made 4.5 gallons of
lemonade and wants to serve it in pint-sized glasses. How many
glasses will he need for the lemonade?
***Hint: 1 gallon = 8 pints
Not sure how to set this up using ratio
Answers
Answer:
36
Step-by-step explanation:
You see one gallon is 8 pints and using a unit converter we get 36
Hope that helps : )
Note that a change can be an increase or a decrease.
For an increase, use a positive number.
For a decrease, use a negative number.
(b)Deon removed 72 fish from his pond over a period of 9 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day?
Answers
Answer:
72 fish = 9 days * x fish, x fish/day = 72 fish / 9 days = 8 fish/day
Step-by-step explanation:
Express in the form of P/Q i) 0.675 (ii) 0.32
Answers
Express in the form of P/Q
i) 0.675
= 675/1000
(ii) 0.32
= 32/100
Convert the percent to a decimal
2/5%
Answers
Answer:
0.4
Step-by-step explanation:
Step-by-step explanation
hiii can someone help me with this i’m not really good at math and i need some help with this question please
Answers
Answer:
√128 units
Step-by-step explanation:
As we move to the right from (-4, -2) to (4, 6), x increases by 8 and y increases by 8 also. Using the distance formula, we get:
d = √(8² + 8²) = √(64 + 64) = √128 units (last answer)
Please answer Omgggg
Answers
Answer:
a ) 81
b ) 16807
c ) 1001000000
d ) 78125
Step-by-step explanation:
a )
3^2 x 3^2
= 9 x 9
= 81
b )
7 x 7^4
= 7 x 7 x 7 x 7 x 7
= 16807
c )
10^9 + 10^7
= 1000000000 + 10000000
= 1001000000
d )
5^8 ÷ 5
= 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 / 5
= 5 x 5 x 5 x 5 x 5 x 5 x 5
= 78125
What is the image point of (4, -12) after the transformation rx-axis o D 1/4?
Answers
Answer:
(4, 12) is the answer after being reflected over the x-axis
Step-by-step explanation:
=> The x remains the same, the y flips over the x - to be negative
(4, -12) ==>> (4, 12)
--
=> The new point after being reflected over the x-axis is (4, 12) in which is the answer
(4, 12) ==>> Final Solution (Correct)
Jacob went bowling over the weekend. On Saturday, he bowled at Bowlero, where he
rented shoes for $3.25 and paid $3.75 for each game. On Sunday, he bowled at the
Cowtown Bowling Center, where he rented shoes for $2.50 and paid $4.00 per game. If
he spent the same amount each day, how many games did he bowl? (Let the number of
games played = x.)
Answers
Answer:
x= 3
Step-by-step explanation:
Blowlero's cost of shoes + the cost of one game = $7.00. If we add the cost of a game two more times, we get $14.50
At Cowtown Bowling Center, we can do the same thing. The cost of shoes + the cost of a game= $6.50. If we add the cost of a game two more times, we get $14.50.
For Jacob to have spent the same amount each day, he would have had to played three games at both places.
Answer:
x = 3
Step-by-step explanation:
just took the test
5. Victoria sells different sizes of homemade candles.
• Small candles cost the least and sell for $5 each.
• Extra-large candles cost the most and sell for $20 each,
Yesterday Victoria sold a total of 4 candles, including 1 small candle and 1 extra-large candle.
Which could be the total amount Victoria earned from selling candles yesterday?
A. $20
B. $25
C. $50
D. $85
Answers
Answer:
Hello! Your answer is C. $50!
Step-by-step explanation:
The problem says Victoria sold a TOTAL of 4 candles. 2 of them are given. If you add up a small and XL candle, its 25. So, you have to try to add 25 and a combinations of small and/or XL candles. When you add one small and one XL, you get 50. Since $50 is the only amount listed that is correct, it would be your answer. Hope this helps!
Answer:
i think 25 because
Step-by-step explanation: 4 x 5= 20 and 4 x 20= 80 so 80+ 20 = 100 then 100 divided by 4= 25
The results of a national survey showed that on average, adults sleep 7.3 hours per night. Suppose that the standard deviation is 1.2 hours and that the number of hours of sleep follows a bell-shaped distribution. If needed, round your answers to two decimal digits. If your answer is negative use “minus sign”.
(a) Use the empirical rule to calculate the percentage of individuals who sleep between 4.9 and 9.7 hours per day.
Enter your answer as a percentage.
%
(b) What is the z-value for an adult who sleeps 8 hours per night?
(c) What is the z-value for an adult who sleeps 6 hours per night?
Answers
Using the Empirical Rule and z-scores, we have that:
a) 95% of individuals who sleep between 4.9 and 9.7 hours per day.
b) Z = 0.58.
c) Z = -1.08.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In item 2, both 4.9 and 9.7 are 2.4 hours from the mean, that is, 2 standard deviations, hence 95% of individuals who sleep between 4.9 and 9.7 hours per day.
What is the z-score formula?The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
For this problem, the mean and the standard deviation are given as follows:
[tex]\mu = 7.3, \sigma = 1.2[/tex]
The z-score for an adult who sleeps 8 hours per night is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (8 - 7.3)/1.2
Z = 0.58.
The z-score for an adult who sleeps 6 hours per night is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (6 - 7.3)/1.2
Z = -1.08.
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(1/10x−2/3)−(4/5x−1/6)
Answers
Answer:
- 7x + 5/10
Step-by-step explanation:
I used a calculator, please let me know if im incorrect
Tell me whether (-1, 2) is a solution of 8x+y>-6
Answers
Answer: I believe not
Step-by-step explanation:
You plug in the x and y values and it equals -6 which is not greater than 6
:)
Which situation best represents the relationship between x and y presented in the graph? An elevator starts on floor 6 and ascends at a rate of 1 floor per second. Ally made 15 pancakes at a rate of 6 pancakes per minute. Andrew has $6 to spend at the arcade. He spends $1 per game he plays. 1 inch of rain falls every hour for 6 hours. Coordinate graph with horizontal axis numbered 0 to 10 and vertical axis numbered 0 to 15. A line runs through these points: begin ordered pair 0 comma 6 end ordered pair, begin ordered pair 1 comma 7 end ordered pair, begin ordered pair 2 comma 8 end ordered pair, begin ordered pair 5 comma 11 end ordered pair, begin ordered pair 6 comma 12 end ordered pair, begin ordered pair 7 comma 13 end ordered pair, begin ordered pair 8 comma 14 end ordered pair, and begin ordered pair 9 comma 15 end ordered pair.
Answers
Answer:
6 floors per 1 minute
2 and a half pancakes per minute
etc.
Step-by-step explanation:
Simplify to the ratios lowest form and the compare.
4ab over 4a 8th power b2nd power
Answers
Answer:
Step-by-step explanation:
=1 over/ a to the 7th power b
What is the answer for this problem?
Answers
Answer:
The function has a maximum of 2 at [tex]x=1[/tex]
Step-by-step explanation:
The graph is a vertical parabola. The minimum, or min is when the parabola opens up, the vertex is at the lowest point on the graph. The maximum, or maxis when the parabola opens down, the vertex is the highest point on the graph.
Since it asks for "[tex]x[/tex]", we can tell that it is 1. If you look at the x-axis in the graph at where the point lies, you will find that [tex]x=1[/tex]
Find the rest of the answers here: https://brainly.com/question/25006687
Help please ✨✨✨✨✨✨✨✨✨✨✨
Answers
Answer:
khuhkl
Step-by-step explanation:
bjknn.nl≥m;l
Answer:
midpoint of the segment is 7,7
..................................
Answers
MADE BY FACEESLASHA
DIGITEL ANGELS, ANGELS, A-A-ANGELS
PLEASE HELP WITH THESE QUESTIONS
1) What are the three forms of quadratic functions?
2) For each of the three forms, when would it be most convenient to have the function in that form?
3) Create a quadratic function in one of the forms and show how to convert it to another one of the three forms.
Answers
Answer:
I only know number 1
vertex form, standard form and factored form
Use the given information yo find the exact value of each of the following. A. Sin 2 theta . B. Cos 2 theta C. Tan 2 theta
Cot theta = 6, theta lies in quadrant III
Answers
Answer:
C
Step-by-step explanation:
if xr-st=r, which expression represents x
Answers
Answer:
To get an expression relating to x you need to have x alone on one side of your equation. ie x =
Try this:
rx - st = r
remove st from the rx side
rx = r + st
now divide by r
x = (r + st)/r
You now have your expression relating to x
Solve and graph "-14" < "-6x" - 2 ≤ 22
Answers
[tex]\\ \sf\longmapsto -14<-6x-2<22[/tex]
Add 2 on all sides[tex]\\ \sf\longmapsto -14+2<-6x-2+2<22+2[/tex]
[tex]\\ \sf\longmapsto -12<-6x<24[/tex]
divide all sides by 6[tex]\\ \sf\longmapsto -2<-x<4[/tex]
[tex]\\ \sf\longmapsto 2>x>-4[/tex]
MARKING AS BRAINLIEST
Answers
Answer:
113.1
Step-by-step explanation:
With this picture, I'm assuming that the diameter of the circle is 12m
If this is the case, the radius is equal to 12/2 = 6
Area = pi*r^2 = pi*36 = 113.1 (rounded to the nearest tenth)
Answer:
113.1 m²
Step-by-step explanation:
Diameter = 12m
Radius = Diameter/2 = 12/2 = 6
A=πr^2 = π·6^2 = 113.09734 m²
Rounded to the nearest tenth = 113.1 m²