Answer:
f(x) = -(x + 8)(x -14)
= -(x2 - 112 - 6x)
= -x2 + 6x + 112 --- (1)
We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.
The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation
a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is
x = -b/2a
= -(6)/[2(-1)]
= 3
Substituting the value of x = 3 in equation (1) we get,
Now y = -(3)2 + 6(3) + 112
= -9 + 18 + 112 = 121
So the vertex point coordinates are (3, 121) and the y value is 121.
The graph below verifies the vertex point.
vertex of the graph
What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?
Summary:
The y-value of the vertex of the function f(x) = -(x + 8)(x - 14) is 121.
A variable needs to be eliminated to solve
the system of equations below. Choose the
correct first step.
-4x + y = -35
-2x - y = -7
Add to eliminate x.
Add to eliminate y.
Subtract to eliminate x.
Subtract to eliminate y.
Answer:
(7, - 7 )
Step-by-step explanation:
- 4x + y = - 35 → (1)
- 2x - y = - 7 → (2)
adding the 2 equations term by term will eliminate the y- term
(- 4x - 2x) + (y - y) = - 35 - 7
- 6x + 0 = - 42
- 6x = - 42 ( divide both sides by - 6 )
x = 7
substitute x = 7 into either of the 2 equations and solve for y
substituting into (1)
- 4(7) + y = - 35
- 28 + y = - 35 ( add 28 to both sides )
y = - 7
solution is (7, - 7 )
Please help this is due in 10 minutes!!!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's calculate the volume of hemisphere} [/tex]
[tex] \textbf{Given :} [/tex]
[tex] \textsf{radius = 11 inches} [/tex][tex] \textbf{Volume of a hemisphere is :} [/tex]
[tex] \sf{v=\dfrac{2}{3}\pi r³} [/tex][tex] \sf{v=\dfrac{2}{3}\cdot 3.14 \cdot 11³} [/tex][tex] \sf{v=\dfrac{2}{3}\cdot 3.14\cdot 1331} [/tex][tex] \sf{v=\dfrac{8358.68}{3}} [/tex][tex] \sf{v\approx 2786.2 in³} [/tex]please help me this is timed!!
which point represents the unit rate?
a
b
c
d
Answer:
C, because it is one unit across
filler filler filler
I WILL GIVE YOU 85 POINTS
Answer:
a.) 2nd quarter
b.) ur just adding up all the goals, add all the away goals and home goals from every quarter and youll get an answer of 48
c. And for this one you adding all the home goals seperatly from away goals, theres 26 home goals and 22 away goals. now 26 - 22 = 4, so the anwser is 4.
3a + 2=11... need help urgently.
Answer:
a=3
Step-by-step explanation:
3a+2=11
-2
3a=9/3
a=3
Answer:
answer is a=3
Step-by-step explanation:
A store has clearance items that have been marked down by 45%. They are having a sale, advertising an additional 40% off clearance items. What percent of the original price do you end up paying?
Answer:
33%
Step-by-step explanation:
x = original price now take 45% off <=====means you pay 55% of original
.55 x is the new price now take 40% MORE off (leaving 60%)
.55x * .6 = .33 x
Can someone please help me ??
Answer:
C
Step-by-step explanation:
The values are not vectors so ST/SR should be 3
No additional support is required for this installation (the earth can support the conduits) if the conduit length from the finish surface (dirt here) to the box is ___ inches or less.
If the conduit length from the finished surface (dirt area) to the box is 18 inches or less, no extra support is necessary for this installation.
What is Trenchless Installation of Conduits Underneath Highway?Trenchless Installation of Conduits Underneath Highways is described as a planned and engineered way with the issue of permits for installing conduits beneath roadways, local transportation authorities; and manufacturers of trenchless construction equipment.
It presents the current situation of the technique for laying conduits beneath highways without open-cut excavation using trenchless technology.
If the conduit length from the finished surface (dirt area) to the box is 18 inches or less, no extra support is necessary for this installation.
Learn more about Installation of Conduits here:
https://brainly.com/question/2272757
The sum of three consecutive even numbers is 48. Find the three numbers
Answer:
14, 16, 18
Step-by-step explanation:
Three even numbers means they are seperated by a distance of 2
Write this equation
x-2+x+x+2=48
x=16
So the three even numbers are 14, 16, 18
Answer:
14, 16, 18
Step-by-step explanation:
Thats the answer the guy above me is correct
Can anyone help me been stuck for a while
What slope would make the lines
perpendicular?
y = 1/2x-1
y = [?]x - 1
Answer:
y = [-2]x - 1
Step-by-step explanation:
y = [-2]x - 1 will make the lines perpendicular.
Because the product of slopes of perpendicular lines is -1
-> 1/2*(-2) = -1
Hope it helps you in your learning process.
What is the area of the
figure shown?
in?
3 in.
10 in.
5 in.
10 in.
Intro
Done
Answer:
65in^2
Step-by-step explanation:
5*10+(1/2)*3*10=65
what is (3x + 4)(5x − 2)
Answer:
15x² + 14x - 8
Step-by-step explanation:
Apply the distributive property by multiplying each term in (5x - 2) by each term in (3x + 4).
5x(3x) + (-2)(3x) + 5x(4) + (-2)(4)
= 15x² - 6x + 20x - 8
Combine like terms:
15x² + 14x - 8
(3x + 4)(5x − 2) is the factored form of 15x² + 14x - 8.
hope this helps!
A recipe requires ¼ lb. of ground beef to make 5 servings of lasagna. Ricardo has 3 ½ lbs. of ground beef. How many servings can Ricardo make?
Answer:
70 servings
Step-by-step explanation:
3 and 1/2 lbs is equal to 14/4. If 1/4 lbs of ground beef makes 5 servings, and you have 14/4, simply multiply 5 by 14.
Answer:
Ricardo can make 70 servings of lasagna.
Step-by-step explanation:
3.5 divided by 0.25 = 14
14 x 5 = 70
Two equilateral triangles are similar
A. Always
B. Sometimes
C. never
Answer:
b
Step-by-step explanation:
The AAA Triangle Similarity Postulate asserts that if all of the angles in a triangle are equal to the corresponding angles in another triangle, then those two triangles are equal. Since every equilateral triangle's angles are 60 degrees, every equilateral triangle is similar to one another due to this AAA Postulate.
P(, b)
s(a)
70)
T
16
Is the figure shown in the xy-coordinate plane a parallelogram? Why or why not? Use the
given coordinates to justify your answer. Yes it is because all four sides are parallel to each other.
Part A:
1. What is the slope of side OP?
2. What is the slope of side TS?
3. Are side OP and side TS parallel/perpendicular/neither? Parallel
Part B
1. What is the slope of side OT?
2. What is the slope of side PS?
3. Are side OT and side PS parallel/perpendicular/neither? Parallel
Part C
1. What is the length of side OP?
2. What is the length of side TS?
3. Are side OP and TS congruent or not congruent? They are congruent
Part D
1. What is the length of side PS?
2. What is the length of side OT?
3. Are side PS and side TS congruent or not congruent? They are not congruent
Part B
1. What is the midpoint of diagonal PT?
2. What is the midpoint of diagonal OS?
3. Do the two diagonals PT and OS bisect each other? Yes
Answer:
lmk when you got the answer
What is the difference between the 8th square number and the 4th square number?
Answer:
240
Step-by-step explanation:
The 8th square number is 2^8 = 256.
The 4th square number is 2^4 = 16.
Their difference is 256 - 16 = 240.
Which of the following do not represent a function of x?
F
G
H
J
Answer:
f,j
Step-by-step explanation:
Find the measure of <1
Please answer ASAP
Answer: 70 degrees
Step-by-step explanation:
The angle created by a tangent and a chord is half the measure of the arc.
the question is in the picture
Answer:
graph B represents the pattern best .
Step-by-step explanation:
hope it will help you
Complete the point-slope equation of the line through (3,6) and (5,-8)
Answer:
y = - 7x + 17
Step-by-step explanation:
Given, (3,6) and (5,-8)
Equation of a straight line is y = mx + c
Here, y = -8, x = 5 and m = ?
m = [tex]\frac{Change in Y}{Change in X}[/tex]
m = [tex]\frac{-8 - 6}{5 - 3}[/tex]
m = - 7
Substituting x, y and m in y = mx + c we get,
- 8 = - 7(5) + c
c = 35 - 8
c = 17
The equation is y = - 7x + 17 (Answer).
A cylinder with radius 6 centimeters
and height 18 centimeters is shown.
Enter the volume of the cylinder, in cubic centimeters round your answer to the nearest hundredth.
The volume of the cylinder with a radius of 6 cm and a height of 18 cm is calculated, to the nearest hundreth, as: 2035.75 cm³.
What is the Volume of a Cylinder?Volume of a cylinder = πr²h
Given the parameters of the cylinder:
Radius (r) = 6 cmHeight (h) = 18 cmVolume of the cylinder = πr²h = π(6²)(18)
Volume of the cylinder = 2035.75 cm³
Learn more about the volume of a cylinder on:
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#SPJ1
6=2s/9 (Solve the equation.)
Answer:
27 = s
Step-by-step explanation:
First multiply both sides by 9. (9)6= 2s(9) turns into 54=2s. Then divide both sides by 2 to find the value for s. 54/2 = 2s/2.
Suppose you have drawn two cards: 10 of clubs and 4 of hearts. You now draw a third card from the remaining 50. What is the probability that the sum of all three cards is strictly larger than 21
The probability that the sum is strictly larger than 21 is P = 0.46
How to find the probability?
We already have a 10 and a 4, so: 10 + 4 = 14
To sum more than 21, we need to draw at least an 8.
On the deck there are:
6 cards equal or larger than 8 of diamonds.6 cards equal or larger than 8 of clubs.6 cards equal or larger than 8 of spades5 cards equal or larger than 8 of hearts (because we already drew the 10).So, 23 out of 50 cards meet our requirements. So the probability will be:
P = 23/50 = 0.46
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
Find the median of the following numbers.
79, 27, 24, 11, 14, 11
Answer: Median is 19, Mean is 27.666..7
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
Answer:
19
Step-by-step explanation:
fore refrence, heres the data from least to greatest, this is important for this question
11, 11, 14, 24, 27, 79
since the points for this set is even (6 points in the data set) we first need to devide it into two groups at the center
11, 11, 14 and 24, 27, 79
then take the two numbers from the inside ends ((in bold)) and find the average between them, since these are the centermost numbers in the full set
14 + 24 = 38
38 / 2 = 19
therefore the median for the dataset is 19
Every year on field day, the teachers at Jefferson Middle School compete in a water balloon toss. Last year, Ellie tracked the number of passes made by each team of teachers.
Step-by-step explanation:
14, 14,median
So option d is right
I hope it helped you
Help on all 3 questions
Answer:
a. What is the slope of the line?
[tex]y = -3x-3[/tex]
b. What is the x-intercept of the line? (Where does the line cross the x-axis?)
[tex](-1,0)[/tex]
c. What is the y-intercept of the line? (Where does the line cross the y-axis?)
[tex](0, -3)[/tex]
Step-by-step explanation:
Calculate slope:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{-3-0}{0-(-1)} \\m = \frac{-3}{1}\\m = -3[/tex]
Calculate y-intercept:
(Pick any point that lies on the line)
[tex](-1,0)[/tex]
[tex]b = y - (mx)\\b = 0 - (-3 * -1)\\b = 0 - (3)\\b = -3[/tex]
Create function:
[tex]y = -3x-3[/tex]
Get x-intercept:
Set y = 0:
[tex]0 = -3x-3\\3 = -3x\\-1 =x[/tex]
[tex](-1,0)[/tex]
Get y-intercept:
Set x = 0:
[tex]y = -3x-3\\y = -3 * 0 -3\\y = 0 - 3\\y = -3[/tex]
[tex](0, -3)[/tex]
Solve for x: 2/7 (x-2) =4c
Answer:
x=14c+2
Step-by-step explanation:
[tex]\frac{2}{7} (x-2)=4c \\\frac{2}{7}x-\frac{4}{7} =4c\\\frac{2}{7}x=4c+\frac{4}{7}\\\frac{2}{7}x= \frac{28c+4}{7} \\2x=28c+4\\x=14c+2[/tex]
10% of the 50 coffee mugs at Adam's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
0.10*50=5
the quadrilaterals ABCD and JKLM are similar. Find the length of x of KL
sorry if the photo does not load
Answer:
1.5
Step-by-step explanation:
abcd is 2 times bigger than jklm. so 3÷2=1.5
5÷2=2.5
2÷2=1
7÷2=3.5
so that means 3÷2=1.5