Graph a line with a slope of 4 that contains the point (3,0).
Answers
Hi there!
Recall that slope-intercept form is:
y = mx + b
Where m = slope
In this instance, we are given a slope of 4, therefore:
y = 4x + b
Substitute in the x and y coordinates of the point given:
0 = 4(3) + b
0 = 12 + b
Subtract 12 from both sides:
-12 = b
Therefore, the equation would be:
y = 4x - 12
Graph the equation by finding x and y values or using a calculator:
x = 0, y = 4(0) - 12 = 12 (0, 12)
x = 1, y = 4(1) - 12 = -8 (1, -8)
x = 2, y = 4(2) - 12 = -4 (2, -4)
x = 3, y = 4(3) - 12 = 0 (3, 0)
And so forth:
To graph a line passing through a point (3, 0) and slope 4, we will find the equation of the line first.
Since, equation of a line passing through a point (h, k) and slope 'm' is given by,
y - k = m(x - h)
Therefore, equation of a line passing through (3, 0) and slope 4 will be,
y - 0 = 4(x - 3)
y = 4x - 12
For y-intercept put x = 0 in the equation,
y = 4(0) - 12
y = -12
For x-intercept put y = 0 in the equation,
0 = 4x - 12
x = 3
Therefore, line will intersect x-axis at (3, 0) and y-axis at (0, -12).
By joining these points we can find the graph of the line passing through (3, 0) and having slope = 4.
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Related Questions
Which expressions correctly show "the sum of the product of 3 and 8 and the product of 12 and 2"? Select two that are correct. *
3 + 8 + 12 + 2
(12 × 2) + (3 × 8)
3 × 8 × 12 × 2
(3 + 8) × (12 + 2)
(3 × 8) + (12 × 2)
Answers
Answer:
The two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)Step-by-step explanation:
Let 'a' and 'b' be the two numbers.
When we say the product of 'a' and 'b', it
algebraically means: a × bLet 'c' and 'd' be the two numbers.
When we say the product of 'c' and 'd', it
algebraically means: c × dAnd when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:
(a × b) + (c × d)
or
(c × d) + (a × b)
as
(a × b) + (c × d) = (c × d) + (a × b)
So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".
It algebraically means:
(12 × 2) + (3 × 8)
or
(3 × 8) + (12 × 2)
as
(12 × 2) + (3 × 8) = 24 + 24 ∵ 12 × 2 = 24, 3 × 8 = 24
= 48
(3 × 8) + (12 × 2) = 24 + 24 ∵ 3 × 8 = 24, 12 × 2 = 24,
= 48
Therefore, the two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)What number represents the same amount as 8 hundreds + 10 + 0 ones?
Answers
Answer:
810
Step-by-step explanation:
hope it help you ☺☺....
According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1640 children, 225 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%? Use both the p-value and the critical-value approaches.
Round your answers for the observed value of z and the critival value of z to two decimal places, and the p-value to four decimal places.
Answers
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.11[/tex]
The sample size is n = 1640
The number found to be living with at least one grandparent is [tex]k = 225[/tex]
The level of significance is [tex]\alpha = 0.02[/tex]
The null hypothesis is [tex]H_o : p = 0.11[/tex]
The alternative hypothesis is [tex]H_a : p > 0.11[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ k }{n}[/tex]
=> [tex]\^ p = \frac{ 225 }{1640 }[/tex]
=> [tex]\^ p = 0.1372[/tex]
Generally the test statistics is mathematically represented as
[tex]z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }[/tex]
=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]
=>[tex]z = 0.0077[/tex]
From the z table the area under the normal curve to the left corresponding to 0.0077 is
[tex]p-value = P(Z > 0.0077) = 0.4969[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Please help it’s due
Answers
4 = 130
2 = 50
1 = 90
3 = 40
:)
A theater sold 1,802 tickets for
their Saturday evening
performance. This was 635 more
than the number of tickets sold
for the matinee performance. If
tickets cost $75 each, find the
total ticket sales for two
performances.
Answers
Answer:
the answer would be 2,969 also i think the cost of tickets is pretty useless
Step-by-step explanation:
Answer:2,969
Step-by-step explanation:
Race to get brainliest, need help!
The sum of digits in a two-digit number is 14. If you double the reversed number and add the result to the original number, the sum would be 222. Find the original number
Answers
Answer:
Original number is 86
Step-by-step explanation:
Original: 10x + y
Double reversed: 2(10y + x)
Constraints:
x + y = 14 ===> x = 14 - y
2(10y + x) + 10x + y = 222 ===> 21y + 12x = 222
Substitution to find y:
21y + 12x = 222
21y + 12(14 - y) = 222
21y + 168 - 12y = 222
9y + 168 = 222
9y = 54
y = 6
Substitution to find x:
x = 14 - y
x = 14 - 6
x = 8
Original: 10x + y
10(8) + (6)
80 + 6
86
y = Ones place
x+y=14
y=14-x
2(10y+x)+(10x+y)=222
20y+2x+10x+y=222
21y+12x=222
21(14-x)+12x=222
294-21x+12x=222
-9x = -72
x = 8
y = 14-8 =6
ANSWER: 86
f(x) = -7x + 1, find f(-2) x
f=-2
Answers
Okay, so basically just plug -2 in for x in the equation and solve.
-7(-2) + 1
Multiply first
14 + 1
Now add
15
Colin and Brian were playing darts. Colin scored 91. Brian scored 9 more than Colin. What was their combined score?
Answers
The combined score was 191
Explanation:
91 (Colin’s score) + 9 (how many more Brian had than Colin) = 100 (Brian’s score)
91 (Colin’s score) + 100 (Brian’s score) = 191 (combined score)
select all equations that are equivalent to 5x+(x+6)+3x
Answers
Whoops! It looks like your question was not part of an academic assignment. Since Brainly is only intended for homework questions, we had to remove it. Please keep the question feed clear of personal questions so other users can get the help they need. Thanks! ߷
You start at (0, 8). You move up 1 unit and right 3 units. Where do you end?
Answers
Answer:
1.11
Step-by-step explanation:
Which fraction is equivalent to 2/3 explain
Answers
Answer:
4/6, 8/12, 20/30
Step-by-step explanation:
They are equivalent to 2/3, because they can all be simplified to 2/3.
For example, 2 x 2 = 4 and 2 x 3 = 6; this gives me 4/6. I multiplied 2/3 by 2/2.
SO it can also be 2/3 = 4/6= 6/9 = 8/12 = 10/15 = 12/15 = 15/18 = 18/21 = 21/24 etc.
~hope it's right
If you times both numbers by 2 you get the answer
2/3
x/x
2/2
——-
4/6
If f(x) = 1.2-3.4x what is the value of f(5.1)
Answers
Answer:
−f(5.1) = 16.14
Step-by-step explanation:
Hope this helps! Stay safe!
Darren’s account was overdrawn by $150, before he deposited $480.
Answers
If the question is along the lines of how much money is in his account now then it would be 480+(-150)=$330
Which of the following equations demonstrates the Identity Property of One? A. 3 - 2 = 1 B. 4 • 1 = 14 C. 1 • b = b D. 0 + 1 = 1
Answers
The identity property of 1 is that any number multiplied but it remains the same.
Hence
1 x b = b
Please help! I need your help! If you help you get points. If you get points your smart.
Answers
D: She needs to keep going to find more digits.
can someone help me plzzz
Answers
First you have to find the slope which you would do by labeling your coordinates So -5 is X1 and 3 is X2 and -3 is Y1 and -3 and Y2 is -6. This will help with finding the slope of you equation. So the set up would be Y2-Y1/X2-X1 so the equation would be -6- -3/ 3-5 which would give you 3/2. Then you take one of the coordinate points and your slope in a slope intecpet equation. So -3=3/2(-5)+b then solve. Which would be 9/2 then put you slope and b into a slope intercept equation so y= 3/2x+9/2 then to get it into Standard form you need to move your ex to the other side of the equation so -3/2x+y=9/2 in this equation can be simplified by multiplying two to each side so (2)3/2x+y=9/2(2) which would equal to 3x+2y=9
write the equation in slope-intercept form. y - 2 = 6 (x + 1)
Answers
Answer:
y=6x+8
Step-by-step explanation:
Write in slope-intercept form, y=mx+b.
Solve the following
Answers
Answer:
Q1
|a-b| = b-a when a<b
Q2
104159/33000
Step-by-step explanation:
Q1
If a<b then a-b will always be negative. To get the absolute value, we can take -(a-b) = -a+b = b-a.
Q2
Let x = 3.12789789789...
We isolate the repeating decimal to start after the decimal, so we multiply by 100.
100x = 312.789789789...
We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.
100000x = 312789.789789
Subtracting the two...
x(100000-100) = 312789.789789 - 312.789789
99900x = 312477
x = 312477/99000 = 104159/33000
What is the slope m in the equation y = -2x + 5
Answers
Answer:
m = -2
General Formulas and Concepts:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step-by-step explanation:
Step 1: Define function
y = -2x + 5
Step 2: Break function
Slope m = -2
y-intercept (0, 5)
what is the value of h in the triangle
Answers
Answer:
I think the answer is 7.2
According to a Pew Research Center analysis of census data, in 2012, 15% of American adults ages 25 and older had never been married. If we repeatedly obtain random samples of 100 adults, what will be the mean and standard error of the sampling distribution of sample proportions?
Answers
Answer:
........................
Martin spent $68 on a new drone that he had been saving for. Now, he has $41 left in his savings jar. Click the equation that could be used to find the total of his savings, s, before he bought the drone.
Answers
Answer:
Step-by-step explanation:
109
What is 0.06% written as a decimal?
Answers
Answer:
0.0006
Step-by-step explanation:
Find 2 consecutive positive odd integers such that 4 times the larger is 29 more
than three times the smaller?
Answers
Answer:
21 and 23Step-by-step explanation:
Two integers are:
x and x + 2The equation and solution:
4(x + 2) = 3x + 294x + 8 = 3x + 294x - 3x = 29 - 8x = 21And
x + 2 = 23Write the equation so that a = 1: x2 + x =
Answers
The answer is : x^2 + x = x ( x + 1 )
What is algebraic equation ?
In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.
There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..
To solve this equation
if a = 1, the equation x^2 + x = can be completed as follows :
x^2 + x = x ( x + 1 )
Therefore, the final answer is : x^2 + x = x ( x + 1 )
To know more about algebraic expression visit : https://brainly.com/question/953809
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what is y=(-2/3)x+400 as a function?
Answers
Answer:
y= −2x/3 + 400
Step-by-step explanation:
Hope this helps :)
Answer: what the other dude said
Step-by-step explanation:
Which equation represents the line that passes through
the point (10, 1) and is perpendicular to the graph of
2x - y = 7?
Answers
Answer:
x+2y=12
Step-by-step explanation:
I used DESMOS graphing calculator. I highly recommend it for problems like this.
Find the height of a triangle whose
Area=64dm
Base=1.6m
Answers
Answer:
102.4?
Step-by-step explanation:
Answer:
h=2A/b
2 (64dm)/1.6m
128dm/1.6m
=80d
please help with this question
Answers
Answer:
Rotation
Step-by-step explanation:
Rotation around the origin I believe
True of False:the following polynomial is written in standard form
2x^4-x^3+5x^2+x-7