Answer:
3 points on the line - (.5,3) (1,2) (1.5,1)
Step-by-step explanation:
y = -2x + 4 (1.5,1)
1 = -2x + 4 subtract 4 from each side
-3 = -2x divide each side by -2
1.5 = x
y = -2x + 4 (1,2)
2 = -2x + 4 subtract 4 from each side
-2 = -2x divide each side by -2
1 = x
y = -2x + 4 (.5,3)
3 = -2x + 4 subtract 4 from each side
-1 = -2x divide each side by -2
.5 = x
Answer:
(1,2) (2,0) (3,-2)
Step-by-step explanation:
What I did to get those is plug in the numbers 1, 2, and 3 as values of X.
-2(1)+4
that gave me 2 as the Y value and now we have the coordinate (1,2).
-2(2)+4
that gave me 0 as the Y value and now we have the coordinate (2,0).
-2(3)+4
that gave me -2 as the Y value and now we have the coordinate (3,-2).
hope this helps.
x + 4 = -14 im frustraded i need an answer haha hewpppp
An electrician charges an initial fee of $35 for attending a house call. Thereafter, he charges $15 for every hour spent on the job. The equation for this is represented = 35 + 15, where $Y represents the charges the house owner has to pay and is the number of hours the electrician spends on the job: (a) , find the amount of money the house owner needs to pay if he spends (i) 1 hour (ii) 2 hours (iii) 3 hours (iv) 4 hours on the job very urgent
Answer:
1 hour=35+15=50
2 hours=35+15(2)=65
3 hours=35+15(3)=80
4 hours=35+15(4)=95
Step-by-step explanation:
Solve the system using substitution. Check your solution.
2x - y= 65
5y = x
Answer:
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]
isolate 'x' for 2x-y
[tex]2x-y=65[/tex]
Add y to both sides
[tex]2x-y+y=65+y[/tex]
[tex]2x=65+y[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]
[tex]x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]
isolate 'y' for [tex]5y=\frac{65+y}{2}[/tex]
[tex]5y=\frac{65+y}{2}[/tex]
[tex]10y=65+y[/tex]
subtract y from both sides
[tex]10y-y=65+y-y[/tex]
[tex]9y=65[/tex]
Divide both sides by 9
[tex]\frac{9y}{9}=\frac{65}{9}[/tex]
[tex]y=\frac{65}{9}[/tex]
[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]
[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]
[tex]x=\frac{325}{9}[/tex]
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
If pens cost 15 cents, how many can you buy with $3.00?
1. (5pt) In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also,
12,883 women finished and 163 dropped out. We want to use a 0.01 significance level to test
the claim that the rate of those who finish is the same for men and women.
a) Test the claim using a hypothesis test (identify the null hypothesis, alternative hypothesis,
test statistic, critical value (or P-value) and conclusion)
b) Test the claim by constructing an appropriate confidence interval.
Answer:
(a) Explained below.
(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).
Step-by-step explanation:
The information provided is:
n (Men who finished the marathon) = 25,221
n (Women who finished the marathon) = 12,883
Compute the proportion of men and women who finished the marathon as follows:
[tex]\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988[/tex]
The combined proportion is:
[tex]\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989[/tex]
(a)
The hypothesis is:
H₀: The rate of those who finish the marathon is the same for men and women, i.e. p₁ - p₂ = 0.
Hₐ: The rate of those who finish the marathon is not same for men and women, i.e. p₁ - p₂ ≠ 0.
Compute the test statistic as follows:
[tex]Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78[/tex]
Compute the p-value as follows:
[tex]p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075[/tex]
The p-value of the test is more than the significance level. The null hypothesis was failed to be rejected.
Thus, concluding that the rate of those who finish is the same for men and women.
(b)
Compute the 99% confidence interval for the difference between proportions as follows:
The critical value of z for 99% confidence level is 2.58.
[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}[/tex]
[tex]=(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\[/tex]
Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).
The expression on the left side of an equation is shown below. Negative 6 x + 6 = box If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation? –6 1 Negative 6 x Negative 6 x + 6
Answer:
The answer is -6x + 6
Step-by-step explanation:
For us to have an infinite number of solutions, then, what we have on the right hand side will be exactly what we have on the left hand side
Since we have -6x + 6 on the left hand side
To have infinite number of solutions, what we have on the right hand side will be the same
Thus, we have -6x + 6 on the second side
Answer:
It's D
Step-by-step explanation:
I just did it on edge
Julie collects antiques. She bought one antique for $300. Its current value is represented by the expression 300(0.75)',
where t is the number of years Julie has owned the antique. Is Julie's antique going up or down in value?
Julie's antique is going
in value.
Answer:
they are gonna go down in value
Step-by-step explanation:
Answer:
down
Step-by-step explanation:
If the value in the perenthesis is a decimal it is an exponential decay.
Find the value of x and the measure
Answer:
39°
Step-by-step explanation:
Complementary angles sum up to 90°
< JKL + < RST = 90
36 + x + 15 =90
51 + x = 90
x = 39°
Use the expression to complete the statements. (0.5)10 (0.5)10 is the . (0.5) is the of (0.5)10. 10 is the of (0.5)10. A power is another way to write .
Question:
Use the expression to complete the statements.
[tex](0.5)^{10\\[/tex]
________ is the power .
(0.5) is the ________
A ______ is another way to write
Answer:
0.5 is the base
10 is the power
[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex] -- another way to write
Step-by-step explanation:
Given
[tex](0.5)^{10\\[/tex]
Required
Fill ion the gaps
[tex](0.5)^{10\\[/tex] is pronounced as; 0.5 raise to the power of 10
From the above statement, we can deduce the following:
0.5 is the base
10 is the power
Lastly, another way to write [tex](0.5)^{10\\[/tex]
Express 0.5 as a fraction
[tex](\frac{5}{10})^{10}[/tex]
Simplify the fraction
[tex](\frac{5/5}{10/5})^{10}[/tex]
[tex](\frac{1}{2})^{10}[/tex]
Hence:
[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex]
Someone please help mee!! It's Algebra 2...Will give brainliest/5 stars if correct. ONLY ANSWER IF SERIOUS PLEASEEE ♥ ♥
Answer:
Log7(1/49)=x The first one
Step-by-step explanation:
I can't really explain how but hopeful this help
180.2
2. The sum of the measures of the interior angles of a convex polygon is 3060°.
Classify the polygon by the number of sides.
Answer:
enneadecagon
Step-by-step explanation:
what is the simplified fractional equivalent of the terminating decimal 0.32
Answer:
8/25
Step-by-step explanation:
Brainliest pls
Answer:
8/25
Step-by-step explanation:
An object with a motional kinetic energy of 96J. Its velocity is 4m/s. What is its mass?
Which expression is equivalent to 2cos2(StartFraction x Over 2 EndFraction) minus cosine (x)?
0
1
1 – 2cos(x)
1 + 2cos(x)
The expression is equivalent to 1
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given:
2cos²(x/2) - cos(x)
We know
cos x= 2cos²(x/2) + 1
2cos²(x/2) = cos x +1
Then,
2cos²(x/2) - cos(x)
= cos x +1 - cos x
=1
Learn more about this concept here:
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Answer: B.1
Step-by-step explanation:
I did it on edge
Write the unit fraction depicted in the model as a percent.
One-fourth
Answer:
As
1/4×100 = 0.25×100
= 25%
Thus,
1/4 = 25%
Step-by-step explanation:
Given the fraction
1/4
In order to write the fraction 1/4 as a percent, all we need is to multiply 1/4 by 100.i.e.
1/4×100 = 0.25×100
= 25%
Therefore, we conclude that:
1/4 = 25%
The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today.
Is the equation in slope intercept form? Explain
If you graphed this situation what would the slope represent? Explain
If you graphed this situation what would the y intercept be and what would it represent?
What units make sense for the slope?
The given equation is 125+37.52x=y, where y is the total amount of dollars and x is the number of weeks
This equation can be re-write as y=37.52x+125
Yes, this equation is in slope-intercept form y=mx+c having a slope, m=37.52 and the intercept, c=125.
Now, check the units,
In equation y=mx+c, units of all the three terms, i.e y, mx and c, are same.
As given that unit of y is dollar, so the unit of c is dollar and unit of [tex]mx[/tex] is also dollar.
As the unit of [tex]mx[/tex] is dollar, so the unit of m is dollar/unit of x.
As given that the unit of x is week, so the unit of m is dollar/week.
Therefore, the y-intercept, c= 125 dollars, and m=37.52 dollar/week.
The unit of the slope is dollars/week, so, the slope of the equation represents the rate of change of money in the wallet per week.
From the graph of the equation, y-intercept, c=125 dollars, is the value of y at x=0 which is the initial amount of money in the wallet.
Three billiard balls are left on the table. Use the expressions to determine which two balls are furthest apart.
Answer: Balls 4 and 9 are furthest apart
Step-by-step explanation:
The 9 and 4 ball are farthest from each other.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, three billiard balls are left on the table, we need to determine which two balls are furthest apart.
So, the balls are in the shape of a triangle, we know that, the greatest angle is opposite of the largest side,
So, we will find the angles first,
Since the angles of a triangle add up to 180 degrees,
(x-5)+(2x+1)+(3x-8)=180,
6x-12=180.
x = 32.
That means the 9 ball is at 27 degrees, the 4 ball is at 65 degrees, and the 5 ball is at 88 degrees.
Based on the angles, the farthest distance would be between balls 9 and 4.
Hence, the 9 and 4 ball are farthest from each other.
Learn more about expression, click;
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Sandra walks 13 miles in 3 hours. At what unit rate does Sandra walk?
A.13 miles
3 hours
B.3 hours
13 miles
c.3 miles
13 hours
D.13/3 miles
1 hour
Answer:
Not sure what is asking,but if it is asking for the equation. Then it is 13/3.
Step-by-step explanation:
The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was $1,500? If you get stuck, consider using diagrams or a table to organize your work.
Answer:
$12,750
Step-by-step explanation: when you do the math you get it your welcome my G
Plz help I’m getting timed
Answer:
$38,465
Step-by-step explanation:
35 x 1,099 = 38,465
whats 3,648 dividing 91?
Answer:
40,08791209Step-by-step explanation:
Answer:
Assuming you meant 3,648/91 it would be 40.0989
Step-by-step explanation:
However if you meant 91/3,648 your answer would be 0.0249
ANSWER ASAP
Which two expressions are equivalent?
A: x(7+4) and 7(x) + 4(x)
B: 7 - (5•x) and (7-5) • x
C: 4(x-9) and 4(x) - 9 (x)
Answer:
Its A
Step-by-step explanation:
What is the circumference?
30 ft
Answer:
94.248 feet
1,131.0 inches
94′ 3″ feet and inches
28.727 meters
2,872.7 centimeters
Step-by-step explanation:
What fraction is equivalent to 1/6
A. 3/8
B. 2/8
C. 3/24
D. 4/24
Answer:
C
Step-by-step explanation:
Because 24 divided by 3 = 8 and 3/8 has a denominator of 8 and you divide it by 3
could i have branliest and a heart please
Have a good day :)
whats 58% of 200 Show your work
Answer:
116
Step-by-step explanation:
58% of 200 = [tex]\frac{58}{100}*200[/tex]
= 58 * 2
= 116
Answer:
[tex]58\% \: of \: 200 \: is \: 116[/tex]
Love, gocry
Pleaseee help!
Marie was trying to show her friend why -3 × -8 equals a positive product. This is what she wrote:
-3 × 0 = 0
-3 × (?) = 0
-3(8) + -3(-8) = 0
-24 + 24 = 0
What should Marie write in place of the question mark?
A. 8 + 8
B. -8 + (-8)
C. 8 + (-8)
D. -8 + 0
Answer:
C
Step-by-step explanation:
C is the only one that works,.
Answer:
the correct answer is c
Jackson is at colletibles fair. He has exactly $8 and will purchase a collectibles card from a vendor for $5. What percentage will jackson spend on the purchase?
A. 0.625%
B. 3%
C. 40%
D. 62.5%
Please help me out or explain how do i do it, but if you give me the answer ill give you brainliest!
What is the properties used for Blank 1 and 2?
Symmetric Property
Substitution Property
Addition Property
Reflexive Property
Division Property
Answer:
Symmetric Property
Step-by-step explanation:
If 11 + 11 = 22 and 10 + 12 = 22 then which of the following is true?
A. 11 + 10 = 11 + 12
B. 11 + 11 = 10 + 12
C. 11 + 11 = 12 + 12
D. 10 + 11 = 12 + 13
show your work
Answer:
B. 11+11=10+12
Step-by-step explanation:
11+11 is 22
And 10+12 is 22
So the statement is true because both sides are equal
find the missing measures
Answer:
8 cm and 28 cm
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
(i)
Here A = 48, b = AB and h = DE = 6 , then
AB × 6 = 48 ( divide both sides by 6 )
AB = 8 cm
(ii)
Here A = 252, b = PQ = 9 and h = RT , then
9 × RT = 252 ( divide both sides by 9 )
RT = 28 cm