The slope intercept form of the given equation y + 9 = 3(x - 1) is
y =3x-12 .
What is slope intercept form ?
The slope intercept is a form of two variable linear equation in x, y is given by
y = m x + c
y is y coordinate, x is x coordinate , m is called slope , c is y intercept
For the given equation
y + 9 = 3(x - 1)
⇒ y + 9 = 3x -3
Subtracting 9 from both sides of this equation, we get
⇒ y+9-9 = 3x-3-9
⇒ y = 3x - 12
This is the slope intercept form with m = 3 and c = -12
Therefore , the slope intercept form of the equation y + 9 = 3(x - 1) is
y =3x-12
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Jerrod’s family drove 1,778 miles from Denver, Colorado, to New York City. They averaged 61.7 miles per hour on the trip. Which is the best estimate of the number of hours the family drove?
Given parameters:
Distance traveled = 1778miles
Average speed = 61.7 miles per hour
Unknown:
Time taken for the travel = ?
Speed is a physical quantity. It is the rate of change of distance with time.
It can be mathematically expressed as;
Speed = [tex]\frac{distance}{time taken}[/tex]
The unknown here is the time taken;
Substitute the parameters and solve for it;
61.7 = [tex]\frac{1778}{ time taken}[/tex]
time taken = [tex]\frac{1778}{61.7}[/tex] = 28.8hrs
The time taken is 28.8hrs
Answer:
the answer for this would be 30 hours.
Step-by-step explanation:
A rectangular garden is fenced on all sides with 272 feet of fencing. The garden is 8 feet longer than it is
wide. Find the length and width of the garden.
Pllzzzz help I will mark you as brainliest
Answer:
it should be 21 x 13
Step-by-step explanation:
The capacity of one sachet pure water is 500ml. How many sachet of pure water is needed to fill a barrel of 5,685 litres capacity?
Answer:
11370 sachet
Step-by-step explanation:
Answer:
11370 sachets
Step-by-step explanation:
Given parameters:
Capacity of one sachet of pure water = 500ml = 500 x 10⁻³L
Unknown:
Number of sachet of pure water needed to fill a barrel of 5685liters + /
Solution;
To find the number of sachet;
500 x 10⁻³L will fill one sachet of pure water;
For 5685 liters, we would require y sachet of pure water ;
500 x 10⁻³y = 5685
0.5y = 5685
y = [tex]\frac{5685}{0.5}[/tex] = 11370 sachets
Cierra had $9 to spend on 3 new
pencils for school. After buying
the pencils she had $3.85 left. How
much did she spend on each pencil?
Write an equation to represent
this situation and then solve.
Answer:
i don't know what the equation would be but hope this helped! 1.72 for each pencil
Step-by-step explanation:
9 - 3.85 = 5.15
5.15/3 = 1.72 for each pencil
Answer:
About $1.72 per pencil
Step-by-step explanation:
1. 9-3.85 = 5.15
2. 5.15/3 = 1.71 2/3 (1.7166666667)
3. $1.72/pencil
What is the domain and range of the function?
Answer: input values for the function.
Step-by-step explanation:
4/9 divided by 4 sorry need help
Answer:
Step-by-step explanation:4/9 /4= 1/9
Guys I need help I'm giving brainlist also show your work for me please this is my last math problem help
Answer:
.
Step-by-step explanation:
Find the mass of the object if it has a volume of 20 mL and a density of 3 g/mL.
Answer:
60 g
Step-by-step explanation:
Use the density formula, D = m/v, where m is the mass and v is volume
Plug in the volume and density, then solve for the mass:
D = m/v
3 = m/20
60 = m
So, the mass is 60 g
Volume of object = 20 mL
Density of object = 3 g/mL
To Find :We have to find mass of the object[tex].[/tex]
Solution :★ Density is defined as the mass of object per unit volume.
It is a scar quantity having only magnitude.
Mathematically, ρ = M/V
ρ denotes densityM denotes massV denotes volumeBy substituting the values, we get
⭆ 3 = M/20
⭆ M = 3 × 20
⭆ M = 60 g
∴ Mass of the object is 60g.
Hope It Helps!It is known that
solve for the value of x algebraically,
Here’s a picture too for the other ones I need help with please
Step-by-step explanation:
Complementary Angles add up to 90 degrees since both m∠BAM and m∠CTX are known to be complementary, they must add up to 90 degrees. So....
[tex]m∠BAM + m∠CTX = 90 \\ (2x +4) + (x + 11) = 90 \\ 3x +15 = 90 \\ -15 + 3x +15 = 90 -15 \\ 3x = 75 \\ \frac{3x}{3} = \frac{75}{3} \\ x = 25[/tex]
Answer:[tex]x = 25[/tex]
Maggie's brother is 4 years younger than three times her age. The sum of their ages is 16.
How old is Maggie?
Anyone know how to evaluate this?
Using the diagram, determine whether the angles are vertical angles, a linear pair, or neither. (Image is included)
Answer:
1.linear pair
2. neither
3. vertical
4. neither
5. vertical
6. neither
7. linear pair
8. neither
Step-by-step explanation:
the answers are starting from up to down, not side to side
We have the definitions of the Adjacent angles, linear angles, vertical angles.
Two angles are considered to be adjacent angles when they share a common vertex, a common side, but no common interior pointsWhen two lines intersect each other at a single point, linear pair of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear.Two angles are said to be vertical angles when their sides form two pairs of opposite rays (straight lines).So, from the figure we see that
<1 and <2 are linear pair <2 and <4 are neither <6 and <8 are vertical <11 and <1 are neither<1 and <3 are vertical <4 and <5 are neither <8 and <9 are linear pair <10 and <7 are neitherLearn more:https://brainly.com/question/3182415
The table shows expressions to represent the number of students involved in different activities. The number of students involved in sports and student council is equal to the number of students involved in band and drama club. Model the situation with an equation. Select the correct expression for each box. Then solve the equation.
Answer:
6n + 7 = 7n
Step-by-step explanation:
Number of students involved in sports = 5n + 7
Number of students involved in student council = n
Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7
Number of students involved in band = 3n - 2
Number of students involved in drama club = 2(2n + 1)
Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n
Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:
6n + 7 = 7n
Can you conclude with a high degree of confidence that the population means for Iowa and New Jersey students are different? A. Because of the extremely low p-value, we cannot reject the null hypothesis with a very high degree of confidence. Hence, the population means for Iowa and New Jersey students are not different. B. Because of the extremely high p-value, we can reject the null hypothesis with a very high degree of confidence. Hence, the population means for Iowa and New Jersey students are different. C. Because of the extremely low p-value, we can reject the null hypothesis with a very high degree of confidence. Hence, the population means for Iowa and New Jersey students are different. D. Because of the extremely high p-value, we cannot reject the null hypothesis with a very high degree of confidence. Hence, the population means for Iowa and New Jersey students are not different.
Complete Question
The complete question is shown on the first uploaded image
Answer:
Option A is correct
Step-by-step explanation:
From the question we are told that
The 95% confidence interval of the mean score of all New Jersey third graders is (58.957 , 63.043)
The sample size is n = 184
The sample average is [tex]\mu = 65 \ points[/tex]
The standard deviation is [tex]\sigma = 13 \ points[/tex]
The 90% confidence interval for the difference in mean score between lowa and New Jersey is (-6.33 , -1.67 )
The p-value is [tex]p-value = 0.0048[/tex]
Generally given that the p-values is very low compared to the level of significance (100 -90 = 10% = 0.10 ) we can reject the null hypothesis which is usually a claim that the means of the population are the same )
Hence the population means are different .
solve: 1/3-m/2+m/6+7/9
Answer: −1 /3 m+ 10 /9
Step-by-step explanation:
anyone here in brainly good at math?
Answer:
3/16 / 5/6 = 9/40
7 / 1/6 = 42
2 1/6 / 1 1/3 = 1 13/20
2 1/7 / 3/28 = 20
I'm very stuck, is this true?
Answer:
so im in a rush but to get this answer you need to sub those variables and then the first step would be the multiplication prop of inequality
Step-by-step explanation:
Write 4h(x) in standard form
What is it in standard form?
Answer:
The answer is 4 h ( x ).
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
In Mr.Vargas 7th periodClass 12 out of 32 students received a failing grade what is the percentage of the students who passed
Answer: 20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:32-12=20
20+12=32
Solve for x. 4(x+1)= -3x-10
Answer:
4x+4=-3x-10
4x+3x=-10-4
x= -14
Step-by-step explanation:
Answer:
x = -2
Step-by-step explanation:
P.E.M.D.A.S
4(x + 1) = 4x+4
now we have 4x + 4 = -3x - 10.
now we can combine like terms which are x
4x and -3x, to combine like terms we can either subtract 4x on both sides or -3x on both sides, but lets do 4x.
now we have this
4x + 4 = -3x - 10.
-4x -4x
= 4 = -7x - 10
now we can isolate x by its self so we have to add 10 on both sides
4 = -7x - 10
+10 +10
and we get
14 = -7x
now we can divide -7 to get x by its self
14/-7 = -7/x
we get for our final answer
x = -2
The cost of 4 golf balls is $10. How much would it cost for 20 golf balls?
Answer:
50$
Step-by-step explanation:
4*5=20
1. What are the opposite and absolute value of: a) 7.2 ____,____ b) -3.5 ____, ____ c) 5 ½ ____,____
Opposite value would be either changing from a positive to a negative or from a negative to a positive.
Absolute value is always a positive value
A) 7.2, -7.2, 7.2
B) -3.5, 3.5, 3.5
C) 5 1/2, -5 1/2, 5 1/2
Answer:
-7.2 7.2
3.5 3.5
-5 1/2 5 1/2
Step-by-step explanation:
HELP NEEDED ASAP. "ONLY ANSWER IF YOU KNOW THE ANSWER"
Solve the equation by completing the square.
x^2 + 10x= -81
Answer:
x =-5± 2i sqrt(14)
Step-by-step explanation:
x^2 + 10x= -81
Take the coefficient of x and divide by 2
10/2 = 5
Square it
5^2 =25
add to each side
x^2 + 10x+25 = -81+25
( x+5) ^2 = -56
Take the square root of each side
sqrt(( x+5) ^2) =± sqrt(-56)
x+5 = ± sqrt(-1) sqrt(4*14)
x+5 =± i sqrt(4)sqrt(14)
x+5 =± i 2 sqrt(14)
Subtract 5 from each side
x+5-5 =-5± i 2 sqrt(14)
x =-5± 2i sqrt(14)
Stanley is also considering buying a house in Cape Cod. Cape Cod is much smaller than the Jersey Shore with only 15 towns that can be affected by floods. You have collected the following data. # of floods per town per summer # of towns having these losses 0 2 1 4 2 ?3 5 4 1 a. Calculate the probability distribution for frequency based on the information provided above. (2 points) b. Stanley would like to know which location faces the most risk for floods between the Jersey Shore and Cape Cod? Show/explain how you came to this answer
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P_1 = 0.1333[/tex] , [tex]P_2 = 0.266[/tex], tex]P_3 = 0.200[/tex], [tex]P_4 = 0.333[/tex] , [tex]P_5 = 0.067[/tex]
b
The location with most risk for flood is the location with 5 towns
Step-by-step explanation:
From the question we are told that
The total number of town is n = 15
Generally the missing number of town is mathematically evaluated as
[tex]k = 15 - [2 + 4 + 5 + 1 ][/tex]
=> [tex]k = 3 [/tex]
Generally the probability distribution for frequency is mathematically represented as
[tex]P = \frac{A}{B}[/tex]
Here A is the number of town having these losses (i.e each row under the number of towns having the losses column)
B is the total number of towns
Considering column one
[tex]P_1 = \frac{2}{15}[/tex]
[tex]P_1 = 0.1333[/tex]
Considering column two
[tex]P_2 = \frac{4}{15}[/tex]
[tex]P_2 = 0.266[/tex]
Considering column three
[tex]P_3 = \frac{3}{15}[/tex]
[tex]P_3 = 0.200[/tex]
Considering column four
[tex]P_4 = \frac{5}{15}[/tex]
[tex]P_4 = 0.333[/tex]
Considering column five
[tex]P_5 = \frac{1}{15}[/tex]
[tex]P_5 = 0.067[/tex]
Looking at the table we see that the region with 5 towns receive 3 floods per town and this region of 5 towns has a higher probability distribution for frequency compared to the other region. hence the location with most risk for flood is the location with 5 towns
Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a
quadratic function of the rectangle's width, A(w). What does the second coordinate of the vertex of the quadratic function.
A(w), represent?
the minimum width that can be used for the fencing
the maximum area that can be enclosed by the fencing
the width that gives the maximum area
the length that gives the maximum area
Answer:
Opction b)
The maximum area that can be enclosed by the fencing
Step-by-step explanation:
I took the test
The solution is, A(w), represents the maximum area that can be enclosed by the fencing.
Here, we have,
If the width of the garden is w (in yards), then the length of the garden is (150-w) and the area is ...
A(w) = w(150 -w) = -(w² -150w)
A(w) = -(w² -150w +75²) +75²
A(w) = -(w -75)² +5625
In this vertex form, the vertex is (75, 5625).
The graph of area versus width is a parabola that opens downward, so the vertex second coordinate is the maximum area that can be enclosed.
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Will Give brainliest plus 25 points
A corporate team-building event costs $4 for every attendee. How many attendees can
there be, at most, if the budget for the corporate team-building event is $36?
A cereal box is 8 inches by 2 inches by 12 inches. What is its surface area?
Answer:
272 inches squared
Step-by-step explanation:
272 square inches.
Because (2×8×2) + (2×8×12) + (2×2×12) = 32 + 192 + 48 = 272
. Steve drove for 812 hours at 72 miles per hour. How much distance did he travel?
Answer:
58464
Step-by-step explanation:
Multiply the two numbers
Answer:
If Steve drives for 812 hours at 72 miles per hour, he drives 58,464 miles in total.(Side Note: if you mean 8 1/2 hours then it's 612 miles
Step-by-step explanation:
To find distance dealing with time and speed, we can use the formula d=rt.
D= Distance
R= Speed
T= Time
Now we plug in our values! D=72 × 812 and we get D= 58,464 miles or if you meant 8 1/2 hours, then it's 612 miles
Hope this helps! :)
What is the simplified expression for the expression below?
4(X + 8) + 5(x - 3)
O 9x + 5
9x + 11
o
9x + 17
9x + 47
Answer:
9x+17
Step-by-step explanation:
I took the test