Answer:
16
Step-by-step explanation:
Use the zero product property to find the solutions to the equation x^2-15x-100=0
Ox=-20 or x = 5
Ox=-20 or x =-5
Ox=-5 or x = 20
Ox= 5 or x=20
Answer:
C. x=-5 or x=20
Step-by-step explanation:
Factor [tex]x^{2}[/tex]-15x−100 using the AC method
(x-20)(x+5)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0
x−20=0
x+5=0
Set x−20 equal to 0and solve for x
x=20
Set x+5 equal to 0 and solve for x
x=−5
The final solution is all the values that make (x−20)(x+5)=0 true. The multiplicity of a root is the number of times the root appears.
x=20(Multiplicity of 1)x=−5 (Multiplicity of 1)
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To use the zero product property to solve the equation:
x² - 15x - 100 = 0.
Factor the left-hand side of the equation:
(x - 20)(x + 5) = 0
Apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero:
x - 20 = 0 or x + 5 = 0
Solve for x in each equation:
x - 20 = 0
x = 20
x + 5 = 0
x = -5
Therefore,
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
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Calculate the median of the dataset 5, 10, 12, 4, 6, 11, 13, 5
Answer: 8
Step-by-step explanation:
Median is the middle number of the set of numbers (layed out smallest to biggest)
4, 5, 5, 6, 10, 11, 12, 15
There are 8 numbers meaning the middle numbers are 6 and 10, so inbetween 6 and 10 is 8 so the median is 8
Step-by-step explanation:
Median = 8
Have a good day..
The $40 million lottery payment that you have just won actually pays $2
Answer:
wait what is the question?
Step-by-step explanation:
??
Please help! I need help fast!
Answer:
x=30
y=15
z=150
Step-by-step explanation:
take 2x+x+90=180
we get x=30
and y=15 and z=150
What’s the answer for this?
Answer: That is the answers.
Step-by-step explanation:
HELP ASAP giving brainlist!!!
Answer:
I would say its given because all of the sides are the same
Step-by-step explanation:
Find the measure of the missing angle.
Answer:
36 degrees
Step-by-step explanation:
The whole angle is 99. The known angle is 54. Take 54 from 99 and it's 36.
Hope It Helps
Sorry If I'm Wrong
A report included the following information on the heights (in.) for non-Hispanic white females.
Sample Sample Std. Error
Age Size Mean Mean
20–39 868 65.9 0.09
60 and older 934 64.3 0.11
(a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use μ20–39 − μ60 and older.) , Interpret the interval
(b) Let μ1 denote the population mean height for those aged 20–39 and μ2 denote the population mean height for those aged 60 and older. Interpret the hypotheses H0: μ1 − μ2 = 1 and Ha: μ1 − μ2 > 1.
Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
(c) Based on the P-value calculated in (b) would you reject the null hypothesis at any reasonable significance level? Explain your reasoning.
(d) What hypotheses would be appropriate if μ1 referred to the older age group, μ2 to the younger age group, and you wanted to see if there was compelling evidence for concluding that the population mean height for younger women exceeded that for older women by more than 1 in.?
Following are the solution to the given points:
In point a:
When 95% are confidence interval:
[tex]=( \mu_{20-39} - \mu_{60})+(-z_{0.025})((0.09)^2+(0.11)^2)^{0.5} \\\\= (65.9-64.3)+(-1.96) \times 0.14213\\\\=(1.3214, 1.8786)[/tex]
In point b:
[tex]H_0: \mu_1 - \mu_2 =1\\\\ H_a: \mu_1 - \mu_2 > 1[/tex]
In the Z test statistic:
[tex]= \frac{((65.9-64.3)-1)}{((0.09)^2+(0.11)^2)^{0.5}} \\\\= 4.22 \\\\\to p= 0.000012[/tex]
In point c:
The rejection value of the null hypothesis as [tex]p< 0.001[/tex]
In point d:
[tex]H_0: \mu_2 -\mu_1 = 1 \\\\H_a: \mu_2 - \mu_1 > 1[/tex]
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una escalera recostada de la pared , con el piso si la escalera mide 8' y la distancia de la base a la pared es de 6'. Halla el ángulo que forma la escalera
Answer:
me no espanol 24
Step-by-step explanation:
srry
-12+x-34=60
If you like this question please rate this five stars!
Thank you!
Answer:
x=106
Step-by-step explanation:
Let's solve your equation step-by-step.
−12+x−34=60
Step 1: Simplify both sides of the equation.
−12+x−34=60
−12+x+−34=60
(x)+(−12+−34)=60(Combine Like Terms)
x+−46=60
x−46=60
Step 2: Add 46 to both sides.
x−46+46=60+46
x=106
Write an equation of the line with the given slope and y-intercept.
slope: 1
y-intercept: -6
Help
Which of the following coordinates is located in Quadrant IV?
O (-2, -4)
(4, 2)
Ο Ο Ο
(-2, 4)
(4, -2)
please answer quick!!!
Answer:
(4,-2)
Step-by-step explanation:
quadrant 4 or IV has positive x and negative y
Kameron who is 4.5 feet tall , is outside during recess
Answer: I'm not sure i understand. Are you asking a question or is this just a statement
Step-by-step explanation:
HELLPP
Find the slope of the line?
Answer:
-1/7
Step-by-step explanation:
If you count up once, for the y-value, then count over 7 times for the x-value, you get 1/7, rise over run.
Then, if you see the slope going backwards, you can see it is negative. Therefor, we get -1/7 for the slope.
Which values of x will make the expression 6x?-54 equal to 0? Select two options.
.
5x2-20
0-3
0-2
00
2
03
Answer:
-2 abd 2
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
Figure A is a scale image of Figure B.
12.5
2
Figure A
5
Figure B
What is the value of x?
Answer:
x=5
Step-by-step explanation:
figure A is 2/5 of figure B therefore x=5
Solve the equation 3(x +4.5) = 36
If you get stuck use the hanger diagram to help yo
Х
4.5
Х
36
4.5
Х
4.5
Answer:
x=7.5
Step-by-step explanation:
Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5
years? Round your answer to two decimal places.
Answer:
$4282.20
Step-by-step explanation:
$3294*0.26=856.44
856*5=4282.20
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. What is
a ratio of gallons of blue paint to gallons of yellow paint that will make the same shade of green paint?
a. 25:45
b. 15:45
c. 25:27
d. 20.54
Answer:
A
Step-by-step explanation:
5:9 is the original ratio.
we know that anything times 5 would have the ones place of either 5 or 0 so we can eliminate c and d. Then we test out the other two choices.
25/5=5
45/9=5
A is correct.
15/5=3
45/9=5
Option B is incorrect.
so, the ratio is 25:45
The answer is A!
Which matrix represents the solution to this system of equations?
Answer:
1. b
Step-by-step explanation:
Answer:
b is correct
Step-by-step explanation:
took the test sorry bad at explaining
What is the difference between population parameters and estimates in a sample?
Answer:
Using that sample, you calculate the corresponding sample characteristic, which is used to summarize information about the unknown population characteristic. The population characteristic of interest is called a parameter and the corresponding sample characteristic is the sample statistic or parameter estimate.
Step-by-step explanation:
If you collect a sample and calculate the mean and standard deviation, these are sample statistics.
i need to find tan−1(0.8391) for my math test
The value of the trigonometric function tan⁻¹ ( 0.8391) is 40°.
We are given an trigonometric function:
tan⁻¹ ( 0.8391).
We need to find the value of the function.
Let the function be equal to x.
tan⁻¹ ( 0.8391 ) = x
Now, we can also write it as:
tan x = 0.8391
We need to find an value of x that gives 0.8391 when tan function is applied to it.
So, we get that:
x = 40°
Therefore, the value of the trigonometric function tan⁻¹ ( 0.8391) is 40°.
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please help please help
Answer:
i read the question but i really don't know the answer
Eric buys a pack of 36 chocolate bars. He gives one chocolate bar everyday to each of his best friends, Josh and Brian. Write the equation that shows the number of chocolate bars (y) he has left after x days. *
Answer:
36-1x
Step-by-step explanation:
plz let me know if I'm right
PLS HELP I NEED HELP
Answer:
8
Step-by-step explanation:
7:8, 14:16, 21:24, and 28:32 are equivalent ratios, 50, 78 14 16 21 = 28 32 24 Use division to find all the whole number ratios that are equivalent to 24:96 The common factors of 24 and 96 PREMIER
Answer:
yipgiydlilyzljt
hhhfguiihitezkgdzogdzlutzohodzhfzhoyd
Graph the equation Y= 2/9 |x|
Answer:
go over to the right 2 times and then go up 9 times : )
Step-by-step explanation:
good luck and hope this helps
A given line has the equation 10x+2y=-2 .
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,12)?
Answer:
y=1-5x
Step-by-step explanation:
10x+2y=2
add subtract 10 from both sides
10x+2y=2
-10x. -10x
so now the equation should look like
2y=2-10x
then after that you have to get the Y variable alone so you have to divide everything by 2
2y÷2 = 2÷2 - 10x÷2
After you divide every term by 2 you slope intercept should be
y= 1-5x
please correct me if I am wrong
2. Briana goes to the store and buys 12 items. If
each item is $3.25, what is her total bill without
tax?
Answer:
12*3.25=39
Step-by-step explanation:
u multiply 12 by 3.25 and then u get ure answer witch is 39!!
Determine if the inverses listed for each function are correct or not. Select Correct or Incorrect for each function and inverse.
Function and Inverse
Correct
Incorrect
Rx) = 3x
O
Rx) = 3x + 7
F(x) = x - 3
VX-6
x =
O
O
Answer:
Step-by-step explanation:
1). f(x) = 3x⁵
Step - 1
Convert the given function in the form of an equation.
y = 3x⁵
Step - 2
Interchange x by y.
Step - 3
Solve the equation for y
x = 3y⁵
y⁵ = [tex]\frac{x}{3}[/tex]
[tex]y=\sqrt[5]{\frac{x}{3}}[/tex]
Step - 4
Convert the equation into function.
[tex]f^{-1}(x)=\sqrt[5]{\frac{x}{3}}[/tex]
Correct.
2). f(x) = 3x + 7
Step - 1
y = 3x + 7
Step - 2
x = 3y + 7
Step - 3
3y = x - 7
y = [tex]\frac{1}{3}(x-7)[/tex]
Step - 4
[tex]f^{-1}(x)=\frac{1}{3}(x-7)[/tex]
Correct.
3). f(x) = 6 + 4x³
Step - 1
y = 4x³ + 6
Step - 2
x = 4y³ + 6
Step - 3
y = [tex]\sqrt[3]{\frac{1}{4}(x-6)}[/tex]
Step - 4
[tex]f^{-1}(x)=\sqrt[3]{\frac{1}{4}(x-6)}[/tex]
Incorrect.