If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point. That is how you graphically "solve" the system of equations.
Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.
So for y=7x-9, the slope is 7 and the y-intercept is -9
For y=3x-1, the slope is 3 and the y-intercept is -1
....
The solution for this system occurs when both coordinates are equal to each other so we can say:
7x-9=3x-1 subtract 3x from both sides
4x-9=-1 add 9 to both sides
4x=8 divide both sides by 4
x=2, making y=3x-1 become:
y=3(2)-1=6-1=5, so the solution to the system of equations is:
(2,5)
Answer:
Part A: If you graph the pair of equations shown above both lines will intersect at one point and that is how you would solve the system of equations graphically. The y intercept and slope for each equation would be for y = 7x − 9 it would have a slope of 7 and y intercept of -9 and y = 3x − 1 would have a slope of 3 and y intercept of -1.
Part B:The solution to the pair of equations is (2,5)
future value of 10% savings from earnings of 36000 earns 6.25% annual interest compounded quarterly for 15 years
without further ado
10% of 36000 is simply 3600, we chopped a "0" off of it hmmm, ok so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3600\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &15 \end{cases} \\\\\\ A=3600\left(1+\frac{0.0625}{4}\right)^{4\cdot 15}\implies A=3600(1.015625)^{60}\implies A\approx 9126.53[/tex]
if books cost $14.99, and there is 5% sales tax, how much is the sales tax on the books?
Answer:
0.7495 or 0.75 sales tax
Step-by-step explanation:
5% of 14.99 is 0.7495. rounded to the nearest tenth it is 0.75
A club swimming pool is 22 ft wide and 44 ft long. The club
members want an exposed aggregate border in a strip of
uniform width around the pool. They have enough material for
432 ft squared. How wide can the strip be?
Answer:
968 is what they need and no they do not enough material
Step-by-step explanation:
What I always do on these questions is length times width and they need 536 more material
According to the Mars company, packages of milk chocolate M&Ms contain 20% orange candies. Find the probability that in a random sample of 100 M&M candies, there are between 18% and 22% orange candies.
Using the normal distribution, it is found that there is a 0.383 = 38.3% probability that the sample proportion is between 18% and 22%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem, the proportion and the sample size are of p = 0.2 and n = 100, respectively, hence:
[tex]\mu = p = 0.2[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.2(0.8)}{100}} = 0.04[/tex]
The probability that in a random sample of 100 M&M candies, there are between 18% and 22% orange candies is the p-value of Z when X = 0.22 subtracted by the p-value of Z when X = 0.18, hence:
X = 0.22:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.22 - 0.2}{0.04}[/tex]
Z = 0.5
Z = 0.5 has a p-value of 0.6915.
X = 0.18:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.18 - 0.2}{0.04}[/tex]
Z = -0.5
Z = -0.5 has a p-value of 0.3085.
0.6915 - 0.3085 = 0.383.
0.383 = 38.3% probability that the sample proportion is between 18% and 22%.
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How do you simply a ratio? I have no clue how to do that.
y = x^2 + 8x + 10
Vertex:
Axis of Symmetry:
Y-intercept:
The vertex of the function is (-4, -6), the axis of symmetry is x= -4 and the y-intercept is (0, 10).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is y=x²+8x+10.
Rewrite in vertex form and use this form to find the vertex (h, k).
(-4, -6)
The axis of symmetry is x= -4
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (-4+√6, 0), (-4-√6, 0)
y-intercept(s): (0, 10)
Therefore, the y-intercept is (0, 10).
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Which statement is true about every exterior angle of any quadrilateral inscribed in a circle?
The measure of an exterior angle is equal to the measure of the nonadjacent interior angle.
The measure of an exterior angle is equal to the measure of an adjacent interior angle.
The measure of an exterior angle is equal to the average of the measures of the two adjacent interior angles.
The measure of an exterior angle is equal to the difference of the measures of the two adjacent interior angles.
Answer:
A
Step-by-step explanation:
In an inscribed quadrilateral, opposite angles are supplementary.
An exterior angle of a quadrilateral is supplementary to the adjacent interior angle.
Since the exterior angle is supplementary to both the adjacent interior angle and to the opposite interior angle, the exterior angle and the opposite interior angle are congruent.
Answer: A
mollie wants to measure the capacity of the kitchen sink she has a 1 L container and a 10 mL container which should she use
Answer:
1 L
Step-by-step explanation:
Kitchen sinks are pretty large in terms of volume in Liters
use the 1 L container
The side lengths in yards of a triangle and a square are shown in the diagram. The perimeter of the triangle is equal to the perimeter of the square. What is the value of x?
The value of x given the perimeter of the square is 6.
What is the value of x?The first step is to determine the perimeter of the square.
Perimeter of the square = 4 x length
4 x 2.5x = 10x yards
The perimeter of the triangle is equal to the sum of the three side lengths
2x + 4x - 2 + 2x + 14 = 10x
Combine similar terms
14 - 2 = 10x - 2x - 4x - 2x
Add similar terms
12 = 2x
Divide both sies by 2
x = 6
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Answer:
it is 6
Step-by-step explanation:
i did it in class and the teacher siad it ws right
1. Ms. Rowel would like to buy a house costing $190000. She is required to make a down payment equal
to 10% of the value of the house then borrow the balance from a bank that charges interest at an annual
rate of 4.2% compounded monthly. The bank loan has to be paid o§ with equal monthly payments,
(paid at the end of each month), in 30 years. Assume that she will get the loan at the beginning of a
month and start making monthly payments on the last day of each month until the loan is paid o§
Answer:
the monthly payment would be 836.22
Step-by-step explanation:
you would find the loan amount which is 190,000 -10% of 190,000 which is 190,000 - 19,000=171,000
then you put the numbers in on a calculator which im using a spreadsheets/ excel
you need to make sure that you divide 12 for the interest and multiply 12 to the 30 years to get the monthly value of them
Nancy put new insulation in her attic and discovered that her heating bill for December decreased from $160 to $100. What is the percent decrease?
The amount of decrease is ______?
Answer:
37.5% decrease
Step-by-step explanation:
To find a relative percentage you generally follow the rule of part divided by whole.
$100 / $160 = .625 (62.5%)
So $100 is 62.5% of $160
To find the decrease we need to subtract 62.5% from 100%
100 - 62.5 = 37.5
OMG PLEASE HELP ME THIS WHOEVER DOES YOUR THE BEST AND SMARTEST! I WILL TELL EVERYONE GOOOD THINGS ABT U PLEASE HELPME I NEE THESE NOW!! <3333
Step-by-step explanation:
12) a Wasabi
13) 1,000
14) x-6=2(y+4) . pls once again check with this as I find none of the option reasonable do ask ur teacher once but anyway nearest is that one
15) 6
Two number cubes whose sides are numbered 1 through 6 are rolled on a table. The two numbers showing are added. If you repeat this process 300 times, how many times would you expect the two cubes to add to exactly 7? ASAP
Answer:
50 times.
Step-by-step explanation:
When the 2 number cubes are rolled once:
The possible outcomes for a total of 7 are:
1 and 6
6 and 1
2 and 5
5 and 2
3 and 4
4 and 3
= 6 outcomes.
The total of all possible outcomes = 6 * 6 = 36.
So Prob( total of 7 in one throw of teh 2 cubes) = 6/36 = 1/6.
For 300 throws you would expect the total of 7 to occur
1/6 * 300 = 50.
Answer:
Step-by-step explanation:
50 IS THE ANSWEr
i will give brainliest please help
A number less than 5
⇒ x < 5
When all the numbers in the spinner are substituted in the inequality, we can see that only three numbers are less than 5.
⇒ 2, 3, and 4
Reviewing the formula to calculate probability:[tex]\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}[/tex]
Substituting the values in the formula:[tex]\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}[/tex]
[tex]\bullet \ \text{Total numbers less than five: 3}[/tex]
[tex]\bullet\ \text{Total numbers in the spinner} = 4[/tex]
[tex]\implies \boxed{\dfrac{3}{\text{4}} = \text{Probabilty of getting less than 5}}[/tex]
Final answer:Option B is correct.
This figure represents a large storage container that will be built out of a new durable material. The storage company needs 8 of these containers.
How much of the new material is needed to build all 8 containers?
Enter your answer in the box.
ft²
Right pentagonal prism. The height of the prism is 8 ft. The base has two pairs of parallel sides. The sides are consecutively labeled 5 ft, 3 ft, 5 ft, 2 ft, and 7 ft. The parallel sides are those labeled 3 ft and 7 ft, and 5 ft and 2 ft.
The amount of material needed for the containers is its surface area
The amount of material needed for the 8 containers using the assumed parameters is 3080 square feet
How to determine the amount of material?The question is incomplete, as the figure of the right pentagonal prism is not given.
So, I will provide a general explanation.
The surface area (SA) of a right pentagonal prism is:
SA = 5b(a + h)
Where:
b represents the base lengtha represents the apothemh represents the heightFrom the question, we have the height of the prism to be 8 ft.
Assume that:
a = 3 ft and b = 7 ft
The equation becomes
SA = 5 * 7 * (3 + 8)
Evaluate the product
SA = 385
The amount of material needed for the 8 containers would be:
Amount = 8 * 385 square feet
Amount = 3080 square feet
Hence, the amount of material needed for the 8 containers using the assumed parameters is 3080 square feet
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Answer:
The answer is 1872
Step-by-step explanation:
Question 1
What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?
−7
−3
4
6
Question 2
How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:
Question 3
)
Which of the following best describes the expression 7x + 2y?
The sum of two products; there are two terms
The product of two sums; there are two terms
The sum of two products; there are four terms
The product of two sums; there are four terms
Question 4
What is the constant term in the expression 6x3y + 8x2 + 5x + 7? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:
Question 5
Which of the following best describes the expression 6(y + 3)?
The product of two constant factors six and three plus a variable
The sum of two constant factors six and three plus a variable
The product of a constant factor of six and a factor with the sum of two terms
The sum of a constant factor of three and a factor with the product of two terms
Question 6
Which expression shows a sum of four terms?
4 + x + 4 + x
x4
4(x + 4)
4x
Answer:
for 1 is -3
Step-by-step explanation:
PLSSSS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
There are 8 possible spaces that the spinner can land on. Of those, the options are 0, 1, 2, or 3.
There is one space that has 0 in it = 1 / 8 = 0.125
There are two spaces that have 1 in them = 2 / 8 = 0.25
There is one space that has 2 in it = 1 / 8 = 0.125
There are four spaces that have 3 in them = 4 / 8 = 0.5
Hope this helps!
Find the area of the shaded region.
I don't know how to do this (don't mind the 21)
Answer:
The definition of alternate interior angles is that those two angles are the same.
Therefore because they are the same you can set them equal to eachother
3x + 24 = 78 is true
3x = 54
x = 18
Just know the definitions, for instance 3 and 4 are the same, 2 and 5 are the same, 1 and 6 are the same
CAN SOMEBODY SOLVE THE EQUATION
Answer:
s = 38.1 billion
Step-by-step explanation:
x = 22 (2020-1998)
s = 1.5 x 22 +5.1
s = 38.1 billion
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
y = - 1/2 x + 1
Step-by-step explanation:
Answer:
y = -1/2x + 1
Step-by-step explanation:
m, rise/run = (2 - 4)/(-2 + 6) = -2/4 = -1/2
b, y-intercept = (0, 1)
y = mx + b
y = -1/2x + 1
Question 2 I need help
Thank youuu
Answer:
Pls help me with my questions
Step-by-step explanation:
20 60 100 140 180 120 What percent of the time did Main Street have 100 or more cars per hour?
The distribution of the cars is an illustration of percentages
The main street has 100 or more cars per hour for 66.7% of the time
How to determine the time percentage?The dataset is given as:
20 60 100 140 180 120
From the above dataset, we have:
100 or more cars = 4Total distribution of cars = 6The percentage is then calculated as:
Percentage= 4/6 * 100%
Evaluate the product
Percentage= 66.7%
Hence, the main street has 100 or more cars per hour for 66.7% of the time
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Which product range generated the most profit over all???
Answer:
Blue label
Step-by-step explanation:
All that matters here is # of bottles sold * profit per bottle.
If you multiply these 2 values for each row you will see the blue label has the highest amount of profit.
Among all the product ranges blue label generated the most profit of $5625.
What is profit?Profit is basically the difference between the total revenue and the total cost of the product.
Profit=Total Revenue- Total cost.
How to calculate profit?We know that Average profit= total profit/ number of units.
So the profit will be as average profits* number of units.
So the profit of product ranges will be =average profit * number of bottles.
Profit of red label=1.12*3000
=$3360
Profit of black label=1.5*2000
=$3000.
Profit of gold label=2.75*1000
=$2750
Profit of white label=1.20*2750
=$3300
Profit of blue label=2.25*2500
=$5625.
Hence among all the product ranges blue label has generated maximum profit.
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PLEASE HELP PLEASE PLEASE HELP PLEASE
Answer:
True
Step-by-step explanation:
like pirates, the stars were their navagation
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a significance level for both parts. Treatment Placebo n s Question content area bottom Part 1 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. : : B. : : C. : : D. : : Part 2 The test statistic, t, is enter your response here. (Round to two decimal places as needed.) Part 3 The P-value is enter your response here. (Round to three decimal places as needed.) Part 4 State the conclusion for the test. A. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. C. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. D. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. Part 5 b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. 10.24 2.048 (Round to three decimal places as needed.)
There's sufficient evidence to reject the null hypothesis between the treatment group and placebo group.
How to illustrate the hypothesis?From the complete information, the value of the test statistic is -1.76 and the p-value is 0.085.
In this case, there's sufficient evidence to reject the null hypothesis. Therefore, there's evidence to warrant the rejection of the claim that the two samples are from population with same mean.
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Si en total tiene 250 monedas que suman $42.50 ,Cuántas monedas de 25 centavos tiene en su alcancía?
Answer:
65 alojamiento
Step-by-step explanation:
hellllllllllllllp please
Answer:
The hieght should be 3 cm
Step-by-step explanation:
We can put it into an equation form:
6⋅2⋅x=36
Then solve from there!
Hope this helps!!
Answer:
Yo I was going to answer this question but I assume there is a mistake I think your teacher meant the length of the box is 6cm if not the answer is 6 cm high if so and there's a mistake then the answer is 3 cm high.
Step-by-step explanation:
2/(p+1)- 1/(p+1)+4/(1-p^2)
Answer:
(5-p)/(p+1) (1-p)
Step-by-step explanation:
2/(p+1) -1/(p+1)+4/(1+p)(1-p)
{2(1-p)-(1-p)+4}/( p+1) (1-p)
on solving we get
(5-p)/(p+1 )(1-p)
Calculate the z-test statistic for a hypothesis test in which the null hypothesis states that the population proportion, p, equals 0.14 if the following sample information is
present
n = 200
x= 31
(Round to two decimal places as needed.)
Z=
Answer:
The z-test statistic for a hypothesis test in which the null hypothesis states that the population proportion, p, equals 0.14 if the following sample information is present (n = 200; x = 31) is z = .6114.
Step-by-step explanation:
The z-test statistic formula is:
[tex]\displaystyle z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]We are given x = 31 and n = 200, so we can solve for [tex]\hat{p}[/tex] : 31/200 = .155.
The population proportion, [tex]p=.14[/tex], is given in the problem.
We can substitute the known values into the z test statistic formula:
[tex]\displaystyle z = \frac{.155-.14}{\sqrt{\frac{.14(.86)}{200} } }[/tex][tex]\displaystyle z=\frac{.015}{\sqrt {.000602}}[/tex][tex]z=.6114[/tex]The z-test statistic for this problem is z = .6114.
