Answer:
[tex]f(x)=x^2+9x-10[/tex]
Step-by-step explanation:
Standard Form of Quadratic Function
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
The factored form of a quadratic equation is:
[tex]f(x)=a(x-\alpha)(x-\beta)[/tex]
Where [tex]\alpha[/tex] and [tex]\beta[/tex] are the roots or zeros of f.
The question gives the zeros of the function: 1 and -10. This makes our function look like:
[tex]f(x)=a(x-1)[x-(-10)][/tex]
[tex]f(x)=a(x-1)(x+10)[/tex]
Operating:
[tex]f(x)=a(x^2+10x-x-10)[/tex]
Joining like terms:
[tex]f(x)=a(x^2+9x-10)[/tex]
Since we are not given any more conditions, we choose the value of a=1, thus. the required function is:
[tex]\boxed{f(x)=x^2+9x-10}[/tex]
how do you solve 8 = 3r - 1
add 1 to both sides then divide by 3. the answer should be r=3
Answer:
r=3
Step-by-step explanation:
First, you would add 1 to both sides so:8+1=3r-1+1 so that gives you 9=3r.
Then, you divide 3 from both sides. 9/3=3r/3 so that gives you r=3
What is the absolute value of –8? Use the number line to help answer the question.
A number line going from negative 8 to positive 8. A point is at negative 8.
–16
–8
8
16
Answer:
The absolute value is 8
Step-by-step explanation:
the absolute value of a number is always going to be positive. if you have a negative number and need the absolute number, you just put the opposit of the number.
Answer:
The absolute value is 8
what’s the answer i need help
3x + 5 - (5x + 8) = -4x - 7
Answer:
Standard form:
2x + 4 = 0
Factorization:
2(x + 2) = 0
Solutions:
x = −4 /2 = −2
Answer:
x = -2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x+5−(5x+8)=−4x−7
3x+5+−1(5x+8)=−4x−7(Distribute the Negative Sign)
3x+5+−1(5x)+(−1)(8)=−4x−7
3x+5+−5x+−8=−4x−7
3x+5+−5x+−8=−4x+−7
(3x+−5x)+(5+−8)=−4x−7(Combine Like Terms)
−2x+−3=−4x−7
−2x−3=−4x−7
Step 2: Add 4x to both sides.
−2x−3+4x=−4x−7+4x
2x−3=−7
Step 3: Add 3 to both sides.
2x−3+3=−7+3
2x=−4
Step 4: Divide both sides by 2.
[tex]\frac{2x}{2} = \frac{-4}{2}[/tex]
x = −2
find the value of x (5x+12) (3x+16)
Answer: 15x^2+116x+192
Step-by-step explanation:
(5x+12) (3x+16) multiply each term in the first parentheses by each term in the second parentheses
15Xx 3x+5Xx16+12x3x+12x16
15x^2+166X+192
ANSWER 15x^2+116+192
Answer:
The chosen topic is not meant for use with this type of problem.
Step-by-step explanation:
The best way to try and solve is using the quadratic formula. The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.
( 5x + 12 ) x ( 3x + 16 )
Step one : use the distributive factor. To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
5x x 3x
5x x 16
12 x 3x
12 x 16
15x^2 + 80x + 36x + 192
Step two: Combine like terms
15x^2 + 116x + 192
Step three: Solve the equation for x by finding a
, b, and c of the quadratic then applying the quadratic formula.
x = - 12/5 , -16/3
Solve the equation. Write a reason for each step
Answer:6. -6 is the answer
Step-by-step explanation:add 10 to -10 and -40 and bring down 5x since -10 and 10 cancel out you have to cross it out and have -30 from -40 +10 and now 5x=-30 you have to divide 5 on each side and that would give you -6
A square has an area of 225 m². What is the length of
the square’s diagonal?
Answer:
the answer to this question is 15
The edge length of the square is 15 m. Then the length of the diagonal of the square will be 15√2 m.
What is the area of the square?All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.
Then the area of the square will be
Area of the square = a² square units
A square has an area of 225 m².
Then the edge length of the square is given as,
a² = 225
a = 15 m
Then the length of the diagonal of the square will be given as,
⇒ a√2
⇒ 15 √2 m
The edge length of the square is 15 m. Then the length of the diagonal of the square will be 15√2 m.
More about the area of the square link is given below.
https://brainly.com/question/1658516
#SPJ2
if (a, -12) is a point on the graph of y=x^2-7x, what is a?
If so, you can insert that y = -12 and solve for a which will equate to x.
[tex]-12=x^2-7x[/tex]
[tex]x^2-7x+12=0[/tex]
[tex](x-3)(x-4)=0\implies a_1=3,a_2=4[/tex]
So a could be 3 or 4 (has two solutions).
Hope this helps.
HURRY PLEASE!!!
Solve the compound inequality:
3x + 1 <-5 OR 2x -5> 7
Answer:
x < -2
x > 6
Step-by-step explanation:
use a number line if u need a visual
Gary saved dimes and nickels at a ratio of 5:7. Then, he saved 20% more dimes and 3 times the number of nickels. If he had 540 dimes and nickels altogether in the end, how many more nickels then dimes did he have?
Answer:
Step-by-step explanation:
Gary saved dimes and nickels at a ratio of 5:7.
5/12 = Dimes
7/12 = Nickels
Then, he saved 20% more dimes and 3 times the number of nickels.
If he had 540 dimes and nickels altogether in the end, how many more nickels then dimes did he have?
Let the number of dimes = x
Let the number of nickels = y
Total number of dimes and nickels = 540
whhhhhhhhhhhhhhyyyyyyyyyyyyyyyyyyy
Answer:
[tex]3x^{2}[/tex]
Which expression shows
(36+6) in in the form of
c(a+b), where c is the greatest common factor of 36 and 6
The GCF of 6 and 36 is 6.
36/6 = 6
6/6 = 1
Write the equation with the GCF outside the parentheses and the multiples inside:
Rewrite as 6(6+1)
Answer:
36/6= 6
6/6= 1
Step-by-step explanation:
sorry but i cant explain it but all i know is the answer
What is the domain and the range
Answer:
The Domain is X and Range is Y
Step-by-step explanation:
Top values are domain and bottom values are Range
You purchase disposable plates, cups, and forks for a cookout. Plates are sold in packages of 24, cups in packages of 32, and forks in packages of 48. What are the least numbers of packages you should buy in order to have the same number of plates, cups, and forks?
Answer:
96 packages
Step-by-step explanation:
We solve for this question using Lowest Common Multiple (LCM) method
Step 1
We list multiples of each number until the first common multiple is found. This is referred to as the lowest common multiple.
From the question , we are told:
Plates are sold in packages of 24
Cups in packages of 32
Forks in packages of 48
Multiples of 24:
24, 48, 72, 96, 120, 144
Multiples of 32:
32, 64, 96, 128, 160
Multiples of 48:
48, 96, 144, 192
Therefore,
LCM(24, 32, 48) = 96
Hence, the least numbers of packages you should buy in order to have the same number of plates, cups, and forks is 96 packages
Three less than twice a number is 15.
What is the number?
a. = −6
b. = 6
c. = −9
d. = 9
Answer:
3-2x=15
Step-by-step explanation:
add 3 to both sides makes -2x=18. divide -2 from both side gets the answer x=-9, so the answer is C, -9
John solved the follow problem incorrectly. What was his mistake? What is the correct answer?
Johns work:
(-1 1/5) divided by 2/3.
(-1 1/5) x 3/2 = -1 3/10.
Your Work, Your Explanation:
Answer:
He didn't turn the proper fraction to an improper fraction.
-1 1/5 = -6/5
-6/5 * 3/2
-18/10
-1 8/10
5.012121212
rational or irrational?
Answer:
it is rational
Step-by-step explanation:
if it is not able to be a fraction it is irrational, but it can be turned into a fraction so therefore it is a rational.
Hope this helped
Zander is comparing the height and weight of his friends and family members. He'd like to create a data display to see if there is a relationship between his friends' height and weight. Below is the scatter plot he designed.
A scatter plot labeled Height and Weight is shown. The x-axis is labeled Height (in inches) and has tick marks ranging from 0 to 80, separated by increments of 10. The y-axis is labeled Weight (in pounds) and has tick marks ranging from 0 to 250, sepa
Explain, using complete sentences, whether or not this is the most appropriate format for representing this data and why. If it is not the best format, explain which format should have been used instead. (5 points)
Answer:
I believe it is a good representation because it shows the differences in the heights to the weights.
Answer:
No, I don't believe this is the most appropriate format, the scatter plot is good but the weight section is not labeled correctly, the dollar signs don't belong, they are irrelevant to weight and height. And the height section should be changed to feet instead of inches, it would just make more sense.
A influencer gains the same number of followers at a constant rate. Every 7 days, the influencer gains 630 followers. How many followers should the influencer gain after 25 days?
90 followers
630 followers
2500 followers
2250 followers
Lindsey Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 867 points. The number of two-point field goals that Lindsey made was 66 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 36 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Lindsey Smith made during the 2006 regular season. How many free throws, 3 pointers, and 2 pointers did she make?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Total point = 867
Let :
number of 3 point goals = p
Number of 2 point goals = 2p - 66
Number of 1 point goals = (2p - 66) - 36 = 2p - 102
Hence,
3p + 2(2p - 66) + 2p - 102 = 867
3p + 4p - 132 + 2p - 102 = 867
3p + 4p + 2p - 234 = 867
9p - 234 = 867
9p = 867 + 234
9p = 1101
p = 122.33
2 pointer = 2p - 66
2(122.33) - 66 = 178.67
1 point = 2p - 102
2(122.33) - 102
= 142.67
Note: you may need to recheck the parameters given, because the expected result should be whole numbers
A train travels at a constant rate of 45 miles per hour.
What is the distance in miles, that the train travels in t hours?
112.5 miles.
Step-by-step explanation:
For 2.5 hours multiply 45 by 2.5= 112.5 miles. I hope this is right!
Susan has a 12 inch board for making a wooden chair. The directions say to use a board that is 29 centimeters long. Is her board long enough the cut?
Answer:
Yes it is.
Step-by-step explanation:
To figure this out, lets first convert inches to centimeters. 1 Inch is equal to 2.54cm. Lets multiply 12 times 2.54. That would be equal to 30.48, which is greater than 29. This means that it is long enough to cut.
Answer:
yes it is
Step-by-step explanation:
because 12 in = 30.48 cm
Find the slope and y intercept of the line. Graph the line.
-3x - 5y = 5
Determine the slope of the line that contains the point T(6,2) & V(8,5)
Answer:
3/2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 5-2)/(8-2)
= 3/2
100x – 200 > 40x - 80
X ?
Lol
Answer:
x>2 here u go kenma :)
Step-by-step explanation:
100x-200>40x-80
60x-200>-80
60x>120
x>2
The Li family is going hiking. The distance from their car can be found using the function d(t) = 3t + 1, where d is the miles away from their car and t is in hours that they have hiked. If d(t) = 7, what is the value of t and what does it represent?
A. t = 2, the Li family has been hiking for 2 hours
B. t = 22, the Li family has been hiking for 22 hours.
C. t = 2, the Li family is 2 miles away from their car.
D. t = 22, the Li family is 22 miles away from their car.
Answer:
A
Step-by-step explanation:
d(t)=3t+1 but d(t)=7
distance*time=3*time+1
so d(t)=7 is the same as
d(t)=3(2)+1
meaning that you hiked for 2 hours.
HELP FAST I GIVE BRAINLIEST
The equation below shows the area of a trapezoid, A, with a height of 9 cm, and one base 35 cm.
A = 9 over 2 (b + 35)
Which of the following formulas correctly solves for the other base, b?
b - the other base;
A = 9/2 ( b + 35 ) / * 2 ( we will multiply both sides of the equation by 2 )
2 A = 9 ( b + 35 )
b + 35 = 2 A / 9
b + 35 - 35 = 2 A / 9 - 35
b = (2 A / 9 ) - 35
Answer: B ) b = 2 multiplied by A over 9 - 35
Hope this helps pls give me brainliest
Answer:
B = 2 multiplied by A over 9 - 35
Step-by-step explanation:
ion know
A taxi charges an initial fee of $1.50 plus $2.00 per miles
Which equation can be used to find the total cost in dollars, y, for trip that is x miles?
What is the first step to solve for n
in the following equation?
3n - 7 = 30
Group of answer choices
Add 7 to both sides
Multiply both sides by 3
Divide both sides by 3
Subtract 7 from both sides
Koto’s average velocity along her route was 4.5 m/s. She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west. What was the time of her trip? (There are 60 seconds in 1 minute.) 18.5 minutes 20.4 minutes 2 hours 3 hours
Answer:
18.5 minutes
Step-by-step explanation:
Koto’s average velocity along her route was 4.5 m/s.
She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.
5000 meters west - 5000 meters east = 0
20,000 south - 15000 north = 5000 meters
4.5 meters = 1 second
5000 meters = x seconds
Cross Multiply
4.5 × x = 5000 × 1
x = 5000/4.5
x = 1111.11111111 seconds
There are 60 seconds in 1 minute.
60 seconds = 1 minute
1111.11111111 = y minutes
60 × y = 1111.11111111 × 1
y = 1111.11111111/60
y = 18.5185185185 minutes
Approximately = 18.5 minutes
The time of her trip is 18.5 minutes
Answer:
18.5
Step-by-step explanation: