The Solution set of the given quadratic equations are
1. x = 5 or x = 3
2. x= -3/2 or x = 5
What is quadratic equation?A Quadratic equation is an algebraic expression in which highest degree of the given variable is 2.
Formula used as x² +ax + b = (x + c)(x + d)
Where 'a' is the sum 'c' and 'd' and 'b' is the product of 'c' and 'd'
According to the information, Factorize all the given quadratic equations we get;
1. x² - 8x + 15 =0
Now Split middle term of quadratic equation using formula we get,
x² - 5x - 3x + 15 =0
⇒ x(x- 5) -3(x - 5) =0
⇒(x -5)(x - 3) =0
⇒ x- 5 =0 or x - 3 =0
⇒ x= 5 or x = 3
2. 20x² + 10x -8=0
Now Split middle term of quadratic equation using formula we get,
10x² + 5x - 4 = 0
⇒ 2x(x-5) +3(x-5)=0
⇒(2x+3)(x-5)=0
⇒2x+3 =0 or x-5 =0
⇒ x= -3/2 or x=5
Hence, the solution set are
1. x = 5 or x = 3
2. x= -3/2 or x = 5
Learn more about quadratic equation here
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The diameter of a cylindrical water tank is 10 ft, and its height is 11 ft. What is the volume of the tank?
Answer:
the answer is 3455 cubic feet
Step-by-step explanation:
π x 100 x 11=3455
This data shows the number of sit-ups done by 27 students in a gym class.
58 62 49 52 75 86 88 54 56 61 85 48 77 60
47 58 62 73 78 69 65 84 59 67 53 84 50
Which histogram represents the data?
Answer:
C
Step-by-step explanation:
Answer:
The Answer is C
Step-by-step explanation:
There are three 40s and eight 50s none of the others have these
what is the value of A when we rewrite (32/5)^-2x as A^x
Answer:
[tex](\dfrac{25}{1024})^x[/tex]
Step-by-step explanation:
The given expression is :
[tex](\dfrac{32}{5})^{-2x}[/tex]
We need to rewrite it in the form of [tex]A^x[/tex].
We know that, [tex](\dfrac{1}{x})^{-a}=x^a[/tex]
So,
[tex](\dfrac{32}{5})^{-2x}=(\dfrac{5}{32})^{2x}\\\\=(\dfrac{5^2}{32^2})^x\\\\=(\dfrac{25}{1024})^x[/tex]
So, [tex]A=\dfrac{25}{1024}[/tex]. Hence, this is the required solution.
Answer: A = (32/5)^-2
Step-by-step explanation:
If the Volume of a Cylinder is 287 and the radius is 5, what is the height "h"?
Round your answer to the nearest tenth if needed.
Answer:
3.7 is the height
Step-by-step explanation:
so the volume is 287 radius is 5 . The formula Volume = base area x height which we come to equate 287 =3.142x5x5 to get 287 divides by 78.55 answers round off to the nearest tenths 3.653 round off 3.7
Can someone please help me I will give you brainleist but please don’t put no links
Answer:
You already have the needed numbers to find the area for each rectangle.
Step-by-step explanation:
You have to find the area for the needed triangles by multiplying the width by length.
Here is an expression:3.2t solve the equation when t=4
Answer:
3.2 x 4 = 12.8
therefore your answer will be 12.8
What are the solutions of the equation 9x4 - 2x2 - 7 = 0? Use u substitution to solve.
Answer: this is what i got hope this helped i took a sceernshot of it
Step-by-step explanation:
ples make brainly
Find the area of the parallelogram
Answer: 621 cm
A = bh
A = 27 x 23
A = 621
You walk into a store that is closing. The pants normally cost $60.00 but it is discounted 75%. They are also taking an additional 20% off. What is the final price that you pay for the pants? dollars and cents. For example 19 dollars and 25 cents would be written as $19.25
Answer:
The final cost that I will pay for the pants is $ 12.
Step-by-step explanation:
Since I walk into a store that is closing, and the pants normally cost $ 60.00 but it is discounted 75%, and they are also taking an additional 20% off, to determine what is the final price that I will pay for the pants se must perform the following mathematical calculation:
100 - 20 = 80
(60 - (60 x 0.75)) x 0.80 = X
(60 - 45) x 0.80 = X
15 x 0.80 = X
12 = X
So, the final cost that I will pay for the pants is $ 12.
Pls help it is khan academy :)
Answer:
4x-12
Step-by-step explanation:
1. Determine the more basic function that has been shifted reflected stretched or compressed.
2. Graph the given function by indicating how the more basic function has been shifted reflected stretched or compressed
[tex] m(x)- 2\sqrt[3]{x } - 4[/tex]
Step-by-step explanation:
kiop
Which graph represents this system? y=5x+3 3 y=zx-1
Answer:
where's the two graphs
Step-by-step explanation:
where are the two graphs that we need to choose from??
Answer:
[tex]y = 5x + 3[/tex]
[tex]3y = zx - 1[/tex]
Step-by-step explanation:
Decrease 48 by 75% answer please
Answer:
75/100 × 48= 36
48-36= 12
a car company uae the symbol shown below for their logo. if the inside space of the logo is a rhombus,what is the length of FJ?
Answer:
F has a new version of this book that is designed for the same as if you can use it to get a yellow one
Point L is located at (-3,-6) where is L after a reflection over the y-axis
9514 1404 393
Answer:
L'(3, -6)
Step-by-step explanation:
The reflection over the y-axis is modeled by the transformation ...
(x, y) ⇒ (-x, y)
L(-3, -6) ⇒ L'(3, -6)
Point L is located at (3, -6) after the reflection from the 3rd quadrant to the 4th quadrant across the y-axis.
A jet flies at an altitude of 43,280 feet. What is the height of the jet in miles?
Answer:
about 8 miles
Step-by-step explanation:
There are 5280 ft in a mile, so divide the number of miles by that:
43,280/5,280 = 8.196 . . .
≈ 8
15.000 at 9 percent interest
Answer:
$16.35
Step-by-step explanation:
15 x 1.09 = 16.35
How many plants spaced every 6" are needed to surround a circular walkway with a 25' radius
Answer:= 2 × 3.14 (25)
= 157.
circumference of circle feet is 157 × 12 inches.
Step-by-step explanation:
consider the following formula to find the circumference of circle
C= 2^_r
here r is radius of circle
the radius of circular is 25 ft.
Therefore circumference is as follows
C = 2^_r
Help. Lol 6th grade math.
Answer:
The first one is howard and the second one is peter
Step-by-step explanation:
Howard is at a higher elevation because he is above the sea level.
Peter is further from sea level because he is 1.1 meters away, whereas Howard is only 0.8 meters away.
Answer:
the first on is howerd
number two is peter
Step-by-step explanation:
Neil swam 4 2/3 lengths of the pool. Mia swam 6 1/2 lengths of the pool. How many more lengths did Mia swim than Neil
Answer:
1 5/6
Step-by-step explanation:
Mrs. Ballesteros students raised $300, Mrs. Garcia's
students raised $210, and Ms. Ramirez students raised
$180. What is the mean, or average, amount of money
raised by the English students?
Answer:
$230
Step-by-step explanation:
To find the average all you have to do is add all the numbers together in a given set then divide the total by the amount of numbers in the set.
Kyle fills the candle mold with liquid candle wax. If
the candle has a volume of 99 cubic inches, what is the
width of the mold?
Answer:
w = 3 inches
Step-by-step explanation:
Given that,
The volume of the candle, V = 99 cubic inches
Length, l = 11 inches
Breadth, b = 3 inches
We need to find the width of the candle. The candle is in the form of a cuboid. The volume of cuboidal shape is given by :
[tex]V=lwh[/tex]
Put all the values,
[tex]w=\dfrac{V}{lb}\\\\w=\dfrac{99}{11\times 3}\\\\w=3\ inches[/tex]
So, the width of the mold is 3 inches.
What is the the length of each chord ?
Answer:
3
Step-by-step explanation:
Three percent of the students at Midwood High School are left-handed. There are 700 students at Midwood High School. How many students at Midwood High School are left-handed?
A.21 students
B.210 students
C.140 students
D.12 students
Answer:
21 students because 3% = 0.03 . When you multiply 0.03 by 700, you get 21.
Answer:
[tex] \frac{3}{100} \times 700[/tex][tex]3 \times 7[/tex][tex]21[/tex]there are total 21 left handed students in the school.
5 (y+2/5)= -13 what is y with explanation
Answer:
Y= -3
Step-by-step explanation:
Step 1- 5y+2=-13 [move constant to the right]
Step 2- 5y=-13-2 [Calculate]
Step 3- 5y=-15 [Divide both sides]
And with doing these steps you'll end up with the answer Y= -3
A lock consists of 2 dials, where each dial has 6 letters. What is the probability of guessing the right combination in one try?
Answer:
i dont know the answer either
Step-by-step explanation:
thanks
solve for x in the diagram below
Answer:
15
Step-by-step explanation:
45+15=4x
60=4x
15=x
A teacher chooses a student at random from a class of 25 boys. Which BEST describes the probability that the student chosen is a boy?
A) impossible
B) unlikely
C) likely
D) certain
5 Solve the equation sin 2x = 2 cos 2x, for 0°<x< 180°
Answer:
Step-by-step explanation:
plot | 2 x = 2 cos(2 x) | x = 0 ° to 180 °
help...........................
Answer:
1.54
Step-by-step explanation:
The problem asks for the absolute value of -1.54. Absolute value refers to the magnitude of a number regardless of its sign, so the negative sign is dropped.