Answer:
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Step-by-step explanation:
Given
[tex]x_1 = -2[/tex]
[tex]x_2 = 3[/tex]
[tex](x,y) = (-1,2)[/tex] --- a point on the parabola
Required
The equation
First, calculate the equation from the zeros
[tex]y =k(x - x_1)(x - x_2)[/tex]
Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]
[tex]y =k(x - -2)(x - 3)[/tex]
[tex]y =k(x +2)(x - 3)[/tex]
To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]
[tex]2 = k(-1+2)(-1-3)[/tex]
[tex]2 = k(1)(-4)[/tex]
[tex]2 = -4k[/tex]
Divide by -4
[tex]k=\frac{2}{-4}[/tex]
[tex]k=-\frac{1}{2}[/tex]
So, the equation is:
[tex]y =k(x +2)(x - 3)[/tex]
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Answer:
C
Step-by-step explanation:
Express in roster form. Set of B is the set of all elements x such that x is an element of natural numbers and x is a multiple of 8
Answer:
[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]
Step-by-step explanation:
Given
[tex]x \to[/tex] element of natural number
[tex]x \to[/tex] multiple of 8
Required
Express in roster form
[tex]Natural[/tex] [tex]numbers[/tex] are 1, 2, 3, 4, 5, 6, ......
[tex]Natural[/tex] [tex]numbers[/tex] that are multiples of 8 are 8, 16, 24, 32, 40, ......
So, the set in roster form is:
[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]
Properties of Logarithms pls help me with this?
Answer:
log 18= 2.0850
1.2925+0.7925= 2.085
Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4 who has the most apples?
Answer: kelsea 4 apples left
Step-by-step explanation:
HELP ME PLEASE DUE SOON!!!!!! WILL MARK BRAINLIEST
What is the measure of the sides of a square with an area of 49 inches
Someone please answer fast ❤️
Answer:
7 inches
Step-by-step explanation:
area of square=l^2
49=l^2
[tex]\sqrt{49[/tex]=l
7=l
therefore the sides of a triangle is 7 inches.
Answer:
7
Step-by-step explanation:
So to find this you know a square has 4 equal sides. The area is 49, and area is side length multiplied by side length. So what number multiplied by itself is 49? 7 x 7=49!
PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEE
Answer:
First, find the multiplier ( 100-18/100)
=0.82
364000*0.82
=298480 is the new value after the years
Help on this too Guys
Answer:
radius is 6 diameter is 2 don't know the other one tho
[tex]\sqrt{x} +3=9[/tex]
Answer:
x=36
Step-by-step explanation:
sqrt(x) +3 = 9
Subtract 3 from each side
sqrt(x)+3-3 = 9-3
sqrt(x) = 6
Square each side
(sqrt(x))^2 = 6^2
x = 36
Check the solution
sqrt(36) +3 = 9
6+3 = 9
Solution is valid
Answer:
x = 36
Step-by-step explanation:
√x + 3 = 9
subtract 3 from 9
√x = 9 - 3
√x = 6
Find , square root of 6
x = (6 ) ²
x = 36
13) The side length of the following cube is 8 cm. what is the length of the diagonal through its center?
Answer: [tex]\sqrt{3}[/tex] x 8 = 13.8564064606
Step-by-step explanation: The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3 ([tex]\sqrt{3}[/tex]). Therefore, square root 3 ([tex]\sqrt{3}[/tex]) is multiplied by the length (8 in our case) of either 6 faces of the cube.
Hope it helped!
Answer:
13.8564064606
Lee ran a mile in 7 1/3 minutes. His friend Sam ran the same mile in 8 5/9 minutes. How many minutes faster did Lee run? (First answer will be the brainliest)
Answer:
1 2/9 minutes faster
Step-by-step explanation:
Take the larger number and subtract the smaller number
8 5/9 minutes - 7 1/3 minutes
Get a common denominator
8 5/9 - 7 1/3 *3/3
8 5/9 - 7 3/9
1 2/9 minutes faster
Hi can someone please help me with this thanks
Donna bought 5 bags of dog treats for $10.65. What is the cost per bag of dog treats?
Answer:
$10.65 divide by 5 equals $2.13
Answer:
The cost per bag of dog treats is $2.13.
Step-by-step explanation:
We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.
Total = $10.65
How many bags there are : 5
$10.65 divided by 5 = 2.13
The cost per bag of dog treats is $2.13.
if 5x-26=x+50, then what is the value of x
Answer:
x = 19
Step-by-step explanation:
5x - 26 = x + 50
Subtract x on both sides of the equation.
4x - 26 = 50
Add 26 on both sides.
4x = 76
Now, divide by 4 on both sides.
x = 19
Answer:
x = 19
Step-by-step explanation:
5x-26=x+50
5x = 76 +x
4x = 76
x = 19
Green Red Blue Yellow
Event A: lands on yellow.
Event B: lands on green.
Events A and B are_______ events.
Answer:
independent
Step-by-step explanation:
Answer:
Disjointed
disjointed events: events that have no outcomes in common
so that's why it is disjointed
Find the surface area and explain step by step plz and no links plz
Answer:
253 in²
Step-by-step explanation:
Surface area of a cylinder= 2πr (r+h)
The radius is not shown.
Radius= diameter/2
= 7/2
= 3.5 in
Surface area= 2xπx3.5 (3.5+8)
= 253 in²
*r=radius
h=height
I used the π value from my calculator.
P.S. You can substitute π for 3.14. If you round it to the nearest whole number, you will still get the same answer. Hope this helped!
The picture shows the diameter and the height. First, find the radius from the diameter by dividing by 2.
please help i have no clue what i’m doing
Answer:
x = 24
x = 20
Step-by-step explanation:
x/3 - 2 = 6
Add 2 to both sides
x/3 = 8
multiply both sides by 3
x = 24
-----------------------------
x/5 +1 = 5
Subtract 1 from both sides
x/5 = 4
multiply both sides by 5
x = 20
Answer:
1. add two both sides and then multiply by 3 each side to get to the answer of 24.
Check: 24/3 = 8 - 2 = 6
2. x/5 + 1 = 5
subtract 1 from each side and then multiply by 4 on each side to get to the result of 20.
check: 20/5 is 4 + 1 = 5
Brainlist please :)
Which two angles below are complementary?
Answer:
1° and 89°
Step-by-step explanation:
They add up to 90°
Hope this helps! :)
Each year the Mannel Department Store has a big end-of-summer
sale. At the sale, they give customers an additional 25% off on all
marked-down merchandise.
a. A beach towel had an original price of $22.00. It was marked
down 10%. What is the final price after the additional
25% discount?
b. A patio table and four chairs originally cost $350.00. They were
marked down 50%. What is the final cost of the table and chairs
with the additional discount?
Answer:
Es ydjwj rjsbt djeiweke
Evaluate 10% of 5000
Answer:
500
Step-by-step explanation:
that is the procedure above
Calculate the volume of this planter box in cubic centimeters.
If there are four of these planter boxes, would they fit in a 1 square meter area near the back
door? Show calculations to explain your answer.
(Pictures Attached)
Answer:
V=786,240cm³
Step-by-step explanation:
Volume=Length × base × height
v= 52cm×42cm×360cm
n3=8/125 for n n= ???
Answer:
2/25
Step-by-step explanation:
[tex]n^3 = \frac{8}{125}[/tex]
[tex]n^3 = (\frac{2}{5})^3[/tex]
[tex]n = \sqrt[3]{n^3} = \sqrt[3]{(\frac{2}{25})^3}[/tex]
[tex]n = \sqrt[3]{(\frac{2}{25})^3}[/tex]
[tex]n = \frac{2}{25}[/tex]
Which of the following are true statements about angle parking. Angle parking spots have a larger blind spaces than perpendicular spaces. Angle parking spots have a larger blind spaces than perpendicular spaces. Angle parking spots have half the blind spot as compared to perpendicular parking spaces. Angle parking spots have half the blind spot as compared to perpendicular parking spaces. Parking lots that have angle parking spaces can fit fewer cars than perpendicular parking. Parking lots that have angle parking spaces can fit fewer cars than perpendicular parking. Angle parking is more common than perpendicular parking. Angle parking is more common than perpendicular parking. All are true statements.
Answer:
Angle parking is more common than perpendicular parking.
Angle parking spots have half the blind spot as compared to perpendicular parking spaces
Step-by-step explanation:
Considering the available options, the true statement about angle parking is that" Angle parking is more common than perpendicular parking." Angle parking is mostly constructed and used for public parking. It is mostly used where the parking lots are quite busy such as motels or public garages.
Therefore, in this case, the answer is that "Angle parking is more common than perpendicular parking."
Also, "Angle parking spots have half the blind spot as compared to perpendicular parking spaces."
Write a numerical expression for the verbal expression.
fourteen decreased by three times four
Answer:
Step-by-step explanation:
44
Divide. (ASAP PLEASE)
[tex]30 )869[/tex]
Enter the number that belongs in the green box.
Answer:
0.034522 (for decimal)
Step-by-step explanation:
Algorithm to accept the height of a building in metres and convert it into centimetres.Also draw the flowchart
Answer:
1200cm
Step-by-step explanation:
Given data
We know that 1meter is equivalent to 100cm
i,.e 1*100
so, if height is 1.2meters
Height in centimeters is 1.2*100
Hence height in centimeters is 1200cm
5
8
y
Find the exact value of y.
y =
Answer:
[tex]y=2\sqrt{10}[/tex]
Step-by-step explanation:
By applying geometric mean theorem in the given right angle,
[tex]\frac{AD}{DB}=\frac{DB}{CD}[/tex]
By substituting values in the given ratio,
[tex]\frac{5}{y}= \frac{y}{8}[/tex]
[tex]y^2=8\times 5[/tex]
[tex]y^2=40[/tex]
[tex]y=2\sqrt{10}[/tex]
Exact value of y is [tex]2\sqrt{10}[/tex].
what is the correct measure of m? 15, 5, n, m
Answer:
subtract 5 , m=(-15)
Step-by-step explanation:
15-5
=10
n:
5-10
=(-5)
m:
(-5)-10
=(-15)
hope it help
draw the graph of the equation 3x-4y=12 from the graph find the value of y when x= 8
Answer:
y = 3
Step-by-step explanation:
3x - 4y = 12
3(8) - 4y = 12
24 - 4y = 12
- 4y + 24 = 12
- 4y + 24 - 24 = 12 - 24
- 4y = - 12
- 4y ÷ - 4 = - 12 ÷ - 4
y = 3
Slope: [tex]\frac{3}{4}[/tex]
y - intercept: (0, - 3)
Arianna earns a weekly salary of $400 plus a 6.5% commission on sales at a gift shop. How much would she make in a workweek if she sold $4800 worth of merchandise?
Answer:
712
Step-by-step explanation:
400+6.5%of 4800
312+400=712
Assume that AABC= APQR. Which of the following congruence statements
are correct? Check all that apply.
U
A. ACS PQ
B. ZREZC
C. BC = PQ
D. ZB=
U
E. BC = QR
O F. ZA= 20
Answer:
Options B, D, E
Step-by-step explanation:
If triangle ABC and triangle PQR are congruent,
∠A ≅ ∠P
∠B ≅ ∠Q
∠C ≅ ∠R
AB ≅ PQ
BC ≅ QR
AC ≅ PR
Therefore, Options B, D, E are the correct options.