(2x - 5) (x^2 + x - 2) =
I need help with math homework
Answer:
A. (1, 2) and (4, 3)
B. Slope (m) = ⅓
C. y - 2 = ⅓(x - 1)
D.[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
E. [tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]
Step-by-step explanation:
A. Two points on the line from the graph are: (1, 2) and (4, 3)
B. The slope can be calculated using two points, (1, 2) and (4, 3):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 1} = \frac{1}{3} [/tex]
Slope (m) = ⅓
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (1, 2), and m = ⅓ into the point-slope equation, y - b = m(x - a).
Thus:
y - 2 = ⅓(x - 1)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 2 = ⅓(x - 1)
3(y - 2) = x - 1
3y - 6 = x - 1
3y = x - 1 + 6
3y = x + 5
[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
E. Convert the equation in (D) to standard form:
[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
[tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]
Determine wether the relation is a function (4,0),(2,0),(1,2),(2,4),(4,4),(5,2)
Answer:
This is not a function
Step-by-step explanation:
Hope this helps
2x -3 = -7 please help
Answer:
2x - 3 = -7 (add 3 to both sides)
2x = -4 (divide each side by 2 to get x alone)
x = -2
PLS HELP ASAP... WILL MARK BRAINLIEST!!!!
Parallel lines r and s are cut by two transversals, parallel lines t and u.
How many angles are alternate exterior angles with angle 5?
Answer:
2 angles
Step-by-step explanation:
only 2 angles are ternate exteriors
Answer: 12
Step-by-step explanation:
I did it
find the slope of the line please help!
Please help if u know
Answer:
(-3,0), (1,0),(-5,0)
Step-by-step explanation:
The price of an item has been reduced by 45%. The original price was $85.
Answer:
$38.25
Step-by-step explanation:
Answer:
Sale Price: $85 * 0.55 = $46.75
Step-by-step explanation:
Find the slope of the line through each pair of points
(3, -20), (5, 8)
Answer:
Can you try turning the 5,8 into a ratio? thats all I can think of right now
Step-by-step explanation:
The population of a town is 20.000. It decreases at a rate of 9% per year. In about how many years will the population be fewer than 13,000?
It will take approximately four years for the population to be fewer than 13,000.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The population of the town is 20.000. It decreases at a rate of 9% per year.
The population of the town decreases by 20,000 × 9% = 1,800 people per year.
To determine how many years it takes for the population to fall below 13,000, you can use the formula:
= (20,000 - 13,000) / 1,800
= 3.88 ≈ 4 years
So, it will take approximately 4 years for the population to be fewer than 13,000.
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Are the two following expressions equivalent? ( yes or no ) 24x + 6y and 6(4x + y
Answer:
yes because on the second one you have to use the distribution property (multiply the term outside the parenthesis by the terms inside them)
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
Distribute 6 to (4x+y), and you will get the same expression of 24x+6y.
4x times 6 = 24x
6 x y = 6y
24x+6y
use f(x)=5x+2 and g(x)=3-x. what is the value of f(g(-1)) and g(f(-1))?
Answer:
f(g(-1)) = 22
g(f(-1))=6
Step-by-step explanation:
We are given
[tex]f(x)=5x+2 \\g(x)=3-x[/tex]
We need to find f(g(-1)) and g(f(-1))
Finding f(g(-1))
First we will find f(g(x)) i.e
[tex]f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17[/tex]
Now finding f(g(-1)) by putting x=-1
[tex]f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22[/tex]
So, f(g(-1)) = 22
Finding g(f(-1))
First we will find g(f(x)) i.e
[tex]g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1[/tex]
Now finding g(f(-1)) by putting x=-1
[tex]g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6[/tex]
So, g(f(-1))=6
PLEASE HELP STATTTT
73 people need to ride the elevator to the top of a skyscraper. The elevator can hold 5 people at a time. How many people will be in the elevator on the last trip to the top?
Lucy cuts 5 different pieces of fabric throughout the day .
1.125 M 475CM 245CM 5.875M 3.055M
What is the total amount of fabric she cut ?
(. )M
Answer: 1 625.5cm or 16.255m
Step-by-step explanation:
convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.
convert the cm measurements back to m measurements (i only assume because you said . m at the end)
The total amount of fabric she cut is 17.255 m .
The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.
In order to add the different lengths, the lengths have to be in meters.
100cm - 1 meter
475cm = 475 / 100 = 4.75m
245cm = 245 / 100 = 2.45m
Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m
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Write a multiplication equation and a division equation that this diagram could represent.
A tape diagram of three equal parts. Each part is labeled "eighteen". A brace from the beginning of the diagram to the end of the disgram is labeled "54".
Group of answer choices
3 • 18 = 54 and 54 ÷ 18 = 3
54 • 3 = 18 and 18 ÷ 3 = 54
c
3 • 18 = 54 and 54 ÷ 18 = 3
3 • 18 = 54 and 18 ÷ 54 = 3
Answer:
[tex]3 * 18= 54[/tex] and [tex]54/18 = 3[/tex]
Step-by-step explanation:
Given
[tex]Sections = 3[/tex]
[tex]Measurement=18[/tex] per section
[tex]Total\ Measurement=54[/tex]
Required
Model the scenario
The model of this scenario is:
[tex]Sections * Measurement = Total\ Measurements[/tex]
This gives:
[tex]3 * 18 = 54[/tex] -- This represents the multiplication model
Divide both sides by 18
[tex]3 * 18/18 = 54/18[/tex]
[tex]3 * 1 = 54/18[/tex]
[tex]3 = 54/18[/tex]
Reorder
[tex]54/18 = 3[/tex] -- This represents the division model
Answer:
121*5677*66766.546646
5
Step-by-step explanation:
. The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.† Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night. For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes. Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample. The report concludes that on average, adults in the United States get less sleep on work nights than adults in Mexico. Is this a reasonable conclusion? Support your answer with an appropriate hypothesis test. (Use
= 0.05.
Use 1 for Mexico and 2 for the United States.)
Answer:
Yes the conclusion in the question is a reasonable conclusion
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n_1 = n_2 = n = 250[/tex]
The sample mean for USA is [tex]\= x_1 = 391 \ minutes[/tex]
The sample mean for Mexico is [tex]\= x_2 = 426 \ minutes[/tex]
The sample standard deviation for USA is [tex]s_1 = 25 \ minutes[/tex]
The sample standard deviation for Mexico is [tex]s_2 = 49 \ minutes[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2 } } }[/tex]
=> [tex]z = \frac{ 391 - 426 }{ \sqrt{ \frac{25^2}{250} + \frac{49^2}{250} } }[/tex]
=> [tex]z = -10[/tex]
From the z table the area under the normal curve to the left corresponding to -10 is
[tex]p-value = P(Z < -10 ) = 0.00[/tex]
Generally from the value obtained we see that
The p-value is < [tex]\alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico
Hence the conclusion in the question is a reasonable conclusion
The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis. This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.
Given :
The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night.For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes.Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample.According to the given data the sample size of the US and Mexico is [tex]\rm n_1=n_2=250[/tex].
The hypothesis are as follows:
Null Hypothesis is [tex]\rm H_0 : \mu_1=\mu_2[/tex]
Alternate Hypothesis is [tex]\rm H_1 : \mu_1<\mu_2[/tex]
Now, the mathematical representation of test statistics is:
[tex]\rm z = \dfrac{\bar{x_1}-\bar{x_2}}{\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}} }[/tex]
[tex]\rm z = \dfrac{391-496}{\sqrt{\dfrac{25^2}{250}+\dfrac{49^2}{250}} }[/tex]
z = -10
According to the z-table:
p - value = p (Z < -10) = 0
The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis.
This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.
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It takes Ernie 45 hours to paint the house alone. Silene can do it in 36 hours alone. How long
would it take them to paint the house together?
write equation asap
Answer:
y = 4/3x - 4.5
Step-by-step explanation:
1) find the slope 4/3
2) find the y-intercept
3) done ------> y = 4/3x - 4.5
Answer:
(5,2)(-1,-6)
Step-by-step explanation:
-6-2/-1-5
-8/-6
=4/3
Y+1=4/3(x+6)
Y+1=4/3x+8
Y=4/3x+7
5TH GRADE LEVEL QUESTION: LOOK AT PHTO AND ANSWER HANDING OUT BRAINLIEST.
Answer:
The volume of Jill's rectangular prism is 40 cm^3
Step-by-step explanation:
w*l*h=area
2*2*10
4*10
40 cm^3
Hope this helps!!
HELP QUICK!! I HAVE ADULTS YELLING AT ME BC I DON'T UNDERSTAND
Answer:
[tex] 1\frac{1}{6} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{2}{3}*1\frac{3}{4} [/tex]
Required:
Evaluate
SOLUTION:
To evaluate, we need to convert the mixed fraction to improper fraction, then multiply both fractions together.
Thus:
[tex] \frac{2}{3}*\frac{7}{4} [/tex]
Multiply the numerators together, and multiply the denominators together
[tex] = \frac{2 \times 7}{3 \times 4} [/tex]
[tex] = \frac{14}{12} [/tex]
Simply the fraction by dividing the numerator and denominator by 2
[tex] = \frac{7}{6} [/tex]
[tex] = 1\frac{1}{6} [/tex]
What is the measure of angle 7?
2) Which of the following is an equivalent ratio to 12:48? Choose all that apply.
a. 3:12
b. 6:24
C. 24.48
d. 24.96
Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 letters of the alphabet, with no repeats. The digits are taken from the 10 digits 0, 1, 2, ..., 9, with no repeats. How many serial numbers can be generated?
==========================================================
Explanation:
There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.
There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.
Overall, we have 30*720 = 21600 different serial numbers possible.
If my recipe calls for 3/4 cups of water per 1 egg how many eggs do I need if I use 6 cups of water?
Answer:
6
Step-by-step explanation:
(3x + 6) (5x +4)
I need help I don’t understand
[tex](3x + 6)(5x + 4) \\ [/tex]
[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]
[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]
[tex] = 15 {x}^{2} + 42x + 24[/tex]
The ratio of male employees to female employees is 1:3. If there are 144 female
employees in total, how many males are there?
Answer:
There are 48 male employees.
Step-by-step explanation:
144 divided by 3 = 48
48 x 1 = 48
Therefore there are 48 male employees.
Asa's most recent credit card statement had a balance of $2,622.77. The minimum payment warning box indicates that it will take 12 years to pay off the card if
be makes the minimum payment of $28 per month. If he makes a monthly payment of $100, it will take 3 years to pay off the balance. What will be the percent
increase in total payments if Asa only pays the minimum rather than the $100 per month?
Answer:
12%
Step-by-step explanation:
In order to calculate this we first need to find the total that she would pay if she were to choose either of these options. We do this by multiplying the number of years it would take to pay off the loan by the 12 months in a year, and then we multiply this product by the monthly payment like so...
Minimum Payment:
(12 * 12) * 28 = $4,032
$100 a month payment:
(12* 3) * 100 = $3,600
Now that we have both we need to divide the minimum payment total by the $100 a month payment total to get the percentage increase in decimal form
$4,032 / $3,600 = 1.12
Now we subtract 1 and multiply by 100 to turn this decimal into a percentage
(1.12 - 1) * 100 = 12%
Finally, we can see that if Asa only pays the minimum then she would be paying a 12% increase as opposed to paying the $100 a month
Evaluate 2(5 + x2) + y if x = 3 and y = 2
Answer:
26
Step-by-step explanation:
Which expression is equivalent to 3V64a^6b^7c^9?
Answer:
24a³b³c⁴[tex]\sqrt{bc}[/tex]Step-by-step explanation:
Given
3[tex]\sqrt{64a^6b^7c^9}[/tex]Equivalent expression is
3[tex]\sqrt{64a^6b^7c^9}[/tex] =3[tex]\sqrt{8^2(a^3)^2b(b^3)^2c(c^4)^2}[/tex] =3*8a³b³c⁴[tex]\sqrt{bc}[/tex]=24a³b³c⁴[tex]\sqrt{bc}[/tex]Help!! I need an answer asap!!
Given a∥b, find m∠1 = 71º.
Find: m∠5, m∠8
Answer:
m<5 = 71 and m<8 = 109
Step-by-step explanation:
m<1 is equivalent to m<5 and m<2 is equivalent to m<8.
Answer:
∠5 = 71°
∠8 = 109°
Step-by-step explanation:
∠1 = 71°
∠5 = 71° (the same as ∠1 = 71°) its a corresponding angle
∠8 = 180 - ∠5
∠8 = 180 - 71
∠8 = 109°