Let h(x) = 0.
Set each factor to 0 and solve for x.
-(x - 5) = 0
Disregard the negative sign in front of the parentheses.
x - 5 = 0
x = 5 is a zero.
x - 13 = 0
x = 13 is another zero.
The smaller zero is 5.
The larger zero is 13.
Both numbers make the quadratic function become zero.
Use the FOIL METHOD to express h(x) in standard form.
h(x) = -(x - 5)*x - 13)
After using FOIL, we get -x^2 + 18x - 65.
The square x term has a -1 in front. This number is the value of a in the formula below. The coefficient of x is 18. This is our b value.
x = -b/2a
x = -(18)/2(-1)
x = 18/2
x = 9
This number 9 just found is the x-coordinate of the vertex.
To find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify.
h(9) = -(9)^2 + 18(9) - 65
h(9) = 16
The vertex is located at the point (9, 16).
The smaller zero is 5 and larger zero is 13. The vertex is located at the point (9, 16).
How to find the vertex of the parabola?Let h(x) = 0.
A. Now Set each factor to 0 and solve for x.
-(x - 5) = 0
Disregard the negative sign;
x - 5 = 0
x = 5 is a zero.
x - 13 = 0
x = 13 is another zero.
The smaller zero is 5 and larger zero is 13.
B. Both numbers make the quadratic function become zero.
So, Use the FOIL METHOD to express h(x) in standard form.
h(x) = -(x - 5)(x - 13)
we get -x^2 + 18x - 65.
x = -b/2a
x = -(18)/2(-1)
x = 18/2
x = 9
Hence, This number 9 just found is the x-coordinate of the vertex.
In order to find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify;
h(9) = -(9)^2 + 18(9) - 65
h(9) = 16
Hence, The vertex is located at the point (9, 16).
Learn more about the vertex form here:
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HELP!
Which relation is a function?
Select all that apply.
Answer:
A,B,D
Step-by-step explanation:
question 4 pleeeeease help
Please help, please write a proof to prove the “prove” section
Of the following, which is the solution to 2x2 + 3x = −5?
Answer:
Step-by-step explanation:
Nothing to choose from??/
But 2x^2+3x=-5 is
- 3± i√31 / 4
Answer:
[tex]\frac{-3+-i\sqrt{31} }{4}[/tex]
ye
a case bottle water contains 24 bottles . each case contains a total of 405.6 ounces of water wich equation represents the relationship between ounces of water , y,and number of bottles,x
Answer:
y = 16.9x
where y is the ounces of water
and x is the number of bottles
Step-by-step explanation:
Here, we want to find the relationship between ounces of water y and number of bottles x
From the question, we can find the amount of liquid in each bottle
Mathematically, that will be 405.6/24 = 16.9 ounces
There is 16.9 ounces of water per bottle
So the relationship we want to write is that;
y = 16.9x
hello, I need help with this! also could you please explain how you did it, thank you! :)
Answer:
-7
Step-by-step explanation:
-2(4 - 5 ) - 1(2 - 5)^2
-2(-1) - 1(-3)^2
2 - 1(9)
2 - 9
-7
Hope this helps. Pls give brainliest.
Answer:
-7
Step-by-step explanation:
y = 6x -14 & y = -8x
Answer:
x = -1
Step-by-step explanation:
y = 6x - 14 y= -8x
6x-14 = -8x
- 6x
-14 = 14x
x = -1
Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.
Answer:
Step-by-step explanation:
Properties of a circumcenter;
1). Circumcenter of a triangle is a point which is equidistant from all vertices.
2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.
From the picture attached,
9). AG = GB = GC = 21
10). BC = 2(DC)
= 2×16
= 32
11). By applying Pythagoras Theorem in ΔGFB,
GB² = GF² + FB²
(21)² = GF² + (19)²
441 = GF² + 361
GF² = 441 - 361
GF = [tex]\sqrt{80}[/tex]
GF = 8.9
12). By applying Pythagoras theorem in ΔGDB,
GB² = DG² + BD²
(21)² = (DG)² + (16)² [BD = DC = 16]
DG² = 441 - 256
DG = √185
DG = 13.6
This is my question,
Hannah wants to buy a $570 camera. She can save $50 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $80 that owes him. For how many weeks will Hannah need to save before she can pay back her brother and buy the camera.
Thank you so much, I really appreciate it!!
Answer:
9 weeks
Step-by-step explanation:
What's the difference between magma and lava
A) there isn’t a difference, they are just two names for liquid rock- Lava is liquid rock above the surface of the Earth, and magma is liquid rock below the surface of the earth .
B) Magma and lava are two different matter. Lava is hot, liquid rock; magma is hot, soft, solid rock
C) Magma and Lava are different temperatures- magma is hot, and lava is cold
Answer:
A
Step-by-step explanation:
MAGMA is below surface
LAVA is whats above surface
say hi and i will mark brainllyist or whatever
Answer:
hi hows your day
Step-by-step
Buddy and his team have been asked by NASA to make a space shuttle cake (a scale model shaped like the one to the left) for a fundraising event. The original space shuttle has a height of 184 ft and a wingspan of 78 ft. Buddy and his team decide to construct the cake on-site so that they do not have to worry about transporting it. Buddy decides to make a cake with a wingspan of 10 ft and asks one of his decorators, Ivette, to calculate the height of the cake. Ivette decides that the cake should be approximately 4 ft tall.
Answer:
Ivette is wrong and by a lot. The spaceship should be 23.59 feet high
Step-by-step explanation:
The relationship between the spaceship's height and width = 184 feet : 78 feet ≈ 92 : 39 ≈ 9.2 : 3.9. This means that for every 3.9 feet wide, the cake should be 9.2 feet high.
In this case, the spaceship is 10 feet wide, so it should be (10 / 3.9) x 9.2 = 23.59 feet high.
When you make scale drawings or scale cakes, you must keep the same proportions as the original model.
The y-intercept of any straight non-vertical line refers to the y-value of the point where the line crosses the y-axis - that is , where the x-coordinate is zero.
This can be (choose all that apply)
Group of answer choices
the change of the y-coordinates divided by the change in the x-coordinates
be always the location of the line in the xy coordinate system-that is, where the line hits the y-axis.
always be the location of the line in the xy coordinate system where the line hits the x-axis
the initial value of the output variable when the input variable is time. The y-intercept has an x-coordinate of zero, so if the input variable is time, the y-intercept is referred to as the starting value.
Answer:
see below
Step-by-step explanation:
Answer choices:
A. the change of the y-coordinates divided by the change in the x-coordinates
slopeB. be always the location of the line in the xy coordinate system-that is, where the line hits the y-axis.
y-interceptC. always be the location of the line in the xy coordinate system where the line hits the x-axis
x-interceptD. the initial value of the output variable when the input variable is time. The y-intercept has an x-coordinate of zero, so if the input variable is time, the y-intercept is referred to as the starting value.
y-interceptWhat is the equation of the circle in center - radius form: x² + y2 + 12x -107 -7 = 0?
(x +12)2 + (y - 25)2 = 68
(x +6)2 + (y - 5)2 = 61
(x - 6)2 + (y + 5)2 = 68
(x +6)2 + (y - 5)2 = 68
Please help will give BRAINLIEST
Answer:
D
Step-by-step explanation:
We have the equation:
[tex]x^2+y^2+12x-10y-7=0[/tex]
And we would like to convert this to an equation for a circle.
This will require completing the square. Thus, let’s factor group our factors. We will also move the constant to the right. Therefore:
[tex](x^2+12x)+(y^2-10y)=7[/tex]
To complete the square, we divide the b term by 2, square it, and then add the resulting constant to both sides.
Therefore, for the first term, we will have 12/2. 12/2 is 6. 6 squared is 36.
Hence, we would add 36 to both sides.
For the second term, we have -10/2. -10/2 is 5. 5 squared is 25. Hence, we would add 25 to both sides.
This yields:
[tex](x^2+12x+36)+(y^2-10y+25)=7+36+25[/tex]
We can now factor the two terms using the perfect square trinomial pattern. We will also add on the right. Hence, our equation is:
[tex](x+6)^2+(y-5)^2=68[/tex]
Therefore, our answer is D.
Eli's Diner sold 50 milkshakes last week. 60% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream were sold?
Answer:
30 will be the number of milkshakes had whipped cream on top.
Step-by-step explanation:
Total number of milkshakes sold by Eli's Diner last week = 50
As 60% of the milkshakes had whipped cream on top.
Let x be the number of the milkshakes had whipped cream on top.
[tex]x=\frac{60}{100}\times 50[/tex]
[tex]x=\frac{60}{2}[/tex]
[tex]x=30[/tex]
Therefore, 30 will be the number of milkshakes had whipped cream on top.
y = -4x + 6
y = -2x - 2
Solve for x and y
Answer:
(4,-10)
Step-by-step explanation:
You set them equal to each other.
You get x=4
Sub in 4 for one of the equations
y=-10
Solve for x in y = -4x + 6.
x = −y/4 + 3/2
Solve for x in y = -2x - 2.
x = −y/2 −1
Nothing can be done with y = -4x + 6 and y = -2x - 2
GIVING 50 POINTS FOR A CORRECT ANSWER QUICK
(I need help like..really quick so..please help lol)
Answer:
M represents the slope
Answer:
The number being multiplied by x or the slope
Step-by-step explanation:
Find k such that the roots of the quadratic are real, rational, and equal: 9x^2+kx+1=0
Answer:
Step-by-step explanation:
9x^2+kx+1=0
k= -9x-1/x
Sheldon needs to buy 9 gallons of ice cream for a family reunion. The table shows the prices for different
sizes of two brands of ice cream.
View Exal
Step-by-
Cold Farms
Sweet Dreams
Price of small size
$4.50 for 1 pint
$2.25 for 1 quart
Price of large size
$8.50 for 1 quart
$5.50 for 1 gallon
Video Tut
Textbook
Which size container of Cold Farm ice cream is the better deal for Sheldon? Complete the explanation to
justify your answer.
Print
72 pints of Cold Farm ice cream cost $[ and 36 quarts of Cold Farm ice cream cost $
(select) size container is the better deal for Sheldon.
The
9514 1404 393
Answer:
$324 for 72 pints$306 for 36 quartslarger size is better dealStep-by-step explanation:
The cost of 72 pints is 72 times the cost of 1 pint:
72 × $4.50 = $324.00 . . . cost of 72 pints
The cost of 36 quarts is 36 times the cost of 1 quart:
36 × $8.50 = $306.00 . . . cost of 36 quarts
__
The price for quart containers is lower, so the larger size is the better deal.
Which number goes in the box?
8 + 9 = 9 +
Answer:
8
Step-by-step explanation:
I hope this helps you out!
Answer:
8
Step-by-step explanation:
...
Pt.2 Please show your work
Find the slope when given the following points
(-3, 2) and (1, 0)
Answer:
slope is = -1/2
Step-by-step explanation:
y2-y1= 2-0= 2
x2-x1= -3-1= -4
2/-4= -1/2
given an equation in standard form solve for y and graph 3y+x=6
Answer:
y= -1/3+2
Step-by-step explanation:
What is the value of the function y = 2x + 3 when x=−1?
5
2
1
−5
The Correct Answer is; {C} 1
I took the test.
Exercise 1: Which of the following is not an equation
(1) 2x + 3 = 10
(2) 3+2 = 5
(3) 3(2x + 1)
(4) 1+ 4 = 10
Answer:
(3) 3(2x +1 )
Step-by-step explanation:
For (1), (2), and (4), all of them give an answer while (3) does not which means that (3) is not an equation.
what are you doing for Christmas?
I'm probably doing nothing...
I might visit my grandparents tho because they recently moved near by
thanks for the points
Answer:
I might go see my cousins in a different state and most likely play with the snow out there!!
Step-by-step explanation:
15% off of $60, then subtracting 10% from that cost, is equal to
Answer:
8.1 i think
Step-by-step explanation:
In a survey of 2,800 people who owned a certain type of car, 1,400 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
50% of people would buy the car again.
Step-by-step explanation:
2800 divided by 2 is 1400.
The percent of the people surveyed were satisfied with the car is 50%.
Given that,
In a survey of 2,800 people who owned a certain type of car, 1,400 said they would buy that type of car again.Based on the above information, the calculation is as follows:
[tex]= 1400 \div 2800[/tex]
= 50%
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Sixth grade Y.14 Factor using th
Factor 10y + 20z.
Answer:
17zy
Step-by-step explanation:
big brain
Answer:
y+z=30
Step-by-step explanation:
y=10 z=20
y+z=30
1. Solve for x: 7x + 15 = 38 (5 points) (A.23/7) (B.53/7) (C.23) (D.53)
Answer:
A. 23/7
Step-by-step explanation:
Step 1:
7x + 15 = 38 Equation
Step 2:
7x = 23 Subtract 15 on both sides
Step 3:
x = 23 ÷ 7 Divide
Answer:
x = 23/7
Hope This Helps :)
Answer:
23/7
Hope this helps..
I am not sure with the answer..
but I think it's correct
PLEASE HELP!!
You need to factor by grouping.
Please explain the steps!
Answer:
3(k-4)(7k^2+5)
Step-by-step explanation:
1) Factor out GCF
3(7k^3-28k^2+5k-20)
2)Split into two
3) Factor
3*7k^2(k-4)+5(k-4)
3(k-4)(7k^2+5)