What are the solutions to x2 8x 7 = 0? x = –8 and x = –7 x = –7 and x = –1 x = 1 and x = 7 x = 7 and x = 8?
The correct solutions to the given equation are x = 1 and x = 7.
The solutions to the equation x² - 8x + 7 = 0 are x = 1 and x = 7.
To find these solutions, we can factor the quadratic equation by finding two numbers that multiply to 7 (the constant term) and add up to -8 (the coefficient of the x term).
Therefore, the correct solutions to the given equation are x = 1 and x = 7.
Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2
Answer:
The answer is -3x^2+6
what is the algebraic expression for the following word phrase: the quotient of 6 and the sum of 5 and y? A: 6/5-y B: 6/5+y C:6(5+y) D: 6/5 + 6y
The algebraic expression for the word phrase is;
⇒ 6/5+y
Option B is true.
Here,
The word phrase is;
''The quotient of 6 and the sum of 5 and y''.
We have to find the algebraic expression.
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
Now,
The word phrase is;
''The quotient of 6 and the sum of 5 and y''.
Quotient means fraction and sum of 5 and y is 5 + y.
Hence, The algebraic expression is;
⇒ 6 / 5+y
Therefore, The algebraic expression for the word phrase is;
⇒ 6/5+y
Option B is true.
Learn more about the mathematical expression visit:
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Add. Write your answer in simplest form. 3/5 + 5/8
What is an angle that is congruent to bgd?
If a number is rational then it must be a whole number true or false
Is the product of two integers positive negative or zero how can you tell?
what is cos of negative pi/3?
what is sin of negative pi/3?
The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 3030 hours and the median is 26.226.2 hours. twenty-four of the families in the sample turned on the television for 1515 hours or less for the week. the 11th11th percentile of the data is 1515 hours. step 2 of 5 : approximately how many families are in the sample? round your answer to the nearest integer.
which number belongs to the solution set of the equation below? 9x=114
A.14
B.16
C.12
D.18
Find a cubic function with the given zeros. Square root of two., - Square root of two., -2 A. f(x) = x^3 + 2x^2 - 2x + 4 B. f(x) = x^3 + 2x^2 + 2x - 4 C. f(x) = x^3 - 2x^2 - 2x - 4 D. f(x) = x^3 + 2x^2 - 2x - 4
How to write an equation with an undefined slope?
If a system of linear equations has the unique solution (2, −3), then its graph consists of what?
parallel lines
lines that intersect at a single point
identical lines
a y-intercept at −3
Answer: B - lines that intersect at a single point
Answer:
Answer: B - lines that intersect at a single point
Step-by-step explanation:
glad i helped
Which statement is true about the line passing through points A and B?
A. The line has a finite length that can be measured.
B. There is only one way to name the line.
C. The line has infinitely many points.
D. There are only two points on the entire line.
5/16t=-9
Plz help me ASAP and show all of the steps that you did! PLEASE HELP!!! :) 10 POINTS!!!!!
what would 3/4 - 3/4 be?
What is the perimeter of a square with an area of 144 square inches?
A moving company charges a $2,000 fee plus $100 per hour. Another moving company charges an $1,800 fee plus $150 per hour. How long is a job for which the two companies' costs are the same?
The costs of two moving companies are the same for a job that lasts 4 hours.
To find out how long a job must last for the two companies' costs to be the same, we need to set up an equation where both company costs are equal and solve for the time variable, which I will denote as 't' hours.
The first moving company's cost can be represented as:$2,000 + $100 x t.
The second moving company's cost can be represented as: $1,800 + $150 x t.
To find the time when both costs are the same, we set the two expressions equal to each other:
$2,000 + $100t = $1,800 + $150t
Now, we need to solve for 't' by subtracting $100t from both sides and subtracting $1,800 from both sides:
$200 = $50t
Divide both sides by $50 to isolate 't':
t = 4 hours
So, the two companies would have the same cost for a 4-hour job.
Select all of the following that are statements. The sun comes up in the east. He is six years old. The moon is made of green cheese. Do well in math. 3x + 4 = 17 Open the door. 7 x 6 = 42
What is the solution to the following system of linear equations?
{4x - y = -6
{x - 2y = -5
Please explain how you solved!
Final answer:
The solution to the system of linear equations is x = -1, y = 2
Explanation:
To solve the system of linear equations:
4x - y = -6
x - 2y = -5
We can use the method of substitution or elimination to find the solution.
Let's use the elimination method. We can multiply the second equation by 4 to make the coefficients of x in both equations the same.
4(x - 2y) = 4(-5)
4x - 8y = -20
Now, we can subtract the second equation from the first equation to eliminate x.
(4x - y) - (4x - 8y) = (-6) - (-20)
-y + 8y = 14
7y = 14
y = 2
Substituting y = 2 back into the first equation:
4x - 2 = -6
4x = -4
x = -1
The solution to the system of linear equations is x = -1, y = 2
Write each number as the product of its prime factors
1.) 76
2.) 35
3.)36
4.) 150
5.)180
6.) 520
please help i have 30 mins to get these answered!! :(
What is the area of a triangle whose vertices are
R(−4, 2),S(1, 2), and T(−5, −4)?
Enter your answer in the box
Factor this polynomial using the GCF: 3xy^2 + 3xy^2 - 3xy
3xy(y + x - 1)
-3xy(y + x + 1)
3x(y2 + x - 1)
3x^2(y2 + 1 - 1)
Kristen bought 2 candy bars for $1.29 each and a soda for$1.99. She had to pay $0.38 in tax. How much was her bill?
Answer:
$4.95
Step-by-step explanation:
1.29 * 2 = 2.58 + 1.99 = 4.57
4.57 + .38 = 4.95
There are five position players on a starting basketball team: 2 guards, 2 forwards, 1 canter. Write a ratio in simplest from to express each relationship
Final answer:
The ratios for the basketball positions in simplest form are guards as 2:5, forwards as 2:5, and the center as 1:5.
Explanation:
The question asks to write ratios for the positions on a basketball team and then to express those ratios in simplest form. There are 5 position players on a starting basketball team, consisting of 2 guards, 2 forwards, and 1 center. To express the relationships between each position, we can write the ratios of guards to the total number of players, forwards to the total number of players, and the center to the total number of players.
The ratio of guards to the total number of players is 2 guards to 5 total players, which simplifies to 2:5.
The ratio of forwards to the total number of players is 2 forwards to 5 total players, simplifying to 2:5.
Lastly, the ratio of the center to the total number of players is 1 center to 5 total players, simplified as 1:5.
Marks canoes rents for $20 plus $35 per hour you do not want to spend more than $1.50.for how many hours can you afford to rent the canoe
What is the multiplicative rate of change of the exponential function shown on the graph?
A) 2/9
B) 1
C) 4
D) 9/2
Answer:
Option: D is correct.
9/2
Step-by-step explanation:
We have to find the multiplicative rate of change of the exponential function shown on the graph.
We know that a general exponential function is given as:
[tex]y=ab^x[/tex]
where b is the multiplicative rate of change.
Now when x=0 we have y=1.
i.e. 1=a
Hence, a=1
and y=b^x
Also,
the graph passes through (1,9/2)
Now when x=1 we have y=9/2
i.e.
9/2=b
Hence, the multiplicative rate of change is:
9/2
The correct answer is A) 2/9. The multiplicative rate of change of the exponential function shown on the graph is A) 2/9.
To determine the multiplicative rate of change of an exponential function from its graph, we need to identify two points on the graph that are one unit apart horizontally (i.e., one unit apart in the x-direction). The multiplicative rate of change is the ratio of the function values (y-values) of these two points.
Let's assume we have two points, (x, y) and (x+1, y'), where y and y' are the corresponding y-values of the exponential function at these x-values. The multiplicative rate of change, r, is given by:
[tex]\[ r = \frac{y'}{y} \][/tex]
From the graph, we can identify two such points. For example, if the function passes through the y-axis at (0, 1) and then at (1, 2/9), we can calculate the multiplicative rate of change as follows:
[tex]\[ r = \frac{2/9}{1} = \frac{2}{9} \][/tex]
This is the multiplicative rate of change of the exponential function. It indicates that for every unit increase in x, the y-value is multiplied by 2/9.
Therefore, the multiplicative rate of change of the exponential function shown on the graph is A) 2/9.
Can someone help me with 16 and 20? If you’re supposed to write a contrapositive and inverse, but the word not is already in the statement, what do you do?
The length of a rectangle is twice its width. if the perimeter of the rectangle is 54 ft , find its length and width.
what is the measure of <DCF
Answer:
The measure of angle DCF is 129 degrees.
Step-by-step explanation:
Angle DCF is the sum of angle DCE plus angle ECF.
This is because, DCF is the main angle and DCE and ECF are its two parts.
Hence, the measure of angle DCF will be = [tex]75+54=129[/tex] degrees.
The answer is :
The measure of angle DCF is 129 degrees.