The graph of linear function g passes through the points (-7, -4) and (7, 6)
Answers
Answer:
C. The slope is 5/7, and the y-intercept is 1.Step-by-step explanation:
You must solve the slope-intercept form with the graph of the linear function g passing through the points.
Use the slope-intercept form.
[tex]\underline{\text{SLOPE-INTERCEPT FORM:}}[/tex]
[tex]\Longrightarrow: \sf{y=mx+b}[/tex]
M= slopeB= y-intercept.Use the slope formula.
[tex]\underline{\text{SLOPE:}}[/tex]
[tex]\Longrightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
(-7,-4) and (7,6)
y2=6y1=(-4)x2=7x1=(-7)[tex]\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}}[/tex]
Solve.
[tex]\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}=\sf{\dfrac{10}{14}=\dfrac{10\div2}{14\div2}=\dfrac{5}{7} }}[/tex]
Therefore, the slope is 5/7 and y-intercept is 1.The correct answer is C. "The slope is 5/7, and the y-intercept is 1."I hope this helps. Let me know if you have any questions.
Related Questions
A classroom has 26 chairs and 16 computers. What is the ratio of computers to chairs?
Answers
**THE PERSON UNDER ME IS ALSO CORRECT, THIS IS JUST ANOTHER WAY TO APPROACH RATIOS**
Explanation: Ratio seldom compares two numbers by dividing them (this depends on the problem). We are given A 16 computers and B 26 chairs. Therefore we have the formula of A/B.For example 16/26
Solving: Divide A by B: 16/26= 0.615 or 0.6
Multiple: Multiple the quotient by 100 in order to get the percentages. 0.615 x 100 = 61.5% (if you rounded 0.61, the answer would be 60%; for this problem I didnt round hence, 61.5%)
Answer: 61.5 %
Side note: I hope this helps, feel free to let me
know if you have anymore questions.
Answer:
8 : 13
Step-by-step explanation:
ratio of computers to chairs = computers : chairs = 16:26 = 8:13
Can someone help me find the answer?
Answers
Answer: 16.2
Step-by-step explanation:
3x+11+ 8x+2=90
then subtract 3 on both sides (8-3) to equal 5x
then subtract 2 from 11
so you should have 9+5x= 90
subtract 9 from 90
so 5x=81 and then divide to get 16.2
Answer:
(3x+11) = 32 degrees
(8x+2) = 58 degrees
Step-by-step explanation:
The two expressions equal 90 degrees when added together, so we use this equation to find out their values:
(3x+11) + (8x+2) = 90
11x+13 = 90
11x+13-13 = 90-13
11x = 77
11x/11 = 77/11
x = 7
Now that we know x equals 7, we can factor it in both of the expressions to find their true values:
3x+11
3(7)+11
21+11
= 32 degrees
8x+2
8(7)+2
56+2
= 58 degrees
We know this is correct because both values equal to 90 degrees:
32 + 58 = 90
this quetion is hard for me
Answers
Answer:
(1, 4)
Step-by-step explanation:
I use Desmos for any graph related math problems and it's really helpful! It's completely free too. You should check it out :)
Hope this helps!
Help Help please :3
Answers
Answer:
C. 360
Step-by-step explanation:
Plugging it into a calculator.
n = 6 , r = 4
[tex]nPr=\frac{n!}{(n-r)!}[/tex]
[tex]6P4=\frac{6!}{(6-4)!}=360[/tex]
Factorise x2+5x-14
:)
Answers
Answer:
Step-by-step explanation:
7 and 2 are the two factors of 14.
One of them (and only 1) must be minus. That is the only way that you can get a minus 14.
The 7 must be plus. It has to larger than 2 in order to get + 5
Answer (x + 7)( x - 2) is how it factors.
Note
Always try using logic on the trinomial before going into the quadratic equation. If either the 5 is minus or the 14 is minus when one of the factors is minus. The sign in front of the middle number is the same as the larger of the two factors. So 7 must larger than 2. 7 is plus 2 is minus
76250*18 maths problem
Answers
Step-by-step explanation:
1,372,500 ............
Answer:
1,372,500
Step-by-step explanaition
7 6 2 5 0
× 1 8
+ 6 1 0 0 0 0
+ 7 6 2 5 0
= 1 3 7 2 5 0 0
Therefore:
76250 × 18 = 1,372,500
Which system of equations is satisfied by the solution shown in the graph?
9
2 3 4 5 X
-5
-4
3
8
N
6
51
3.
Answers
Answer:
y = x + 10y = -x + 6Step-by-step explanation:
Equation of Red Line
Slope (m) = rise/runSlope (m) = 1/1 = 1y-intercept (c) = (0, 10)⇒ y = mx + c⇒ y = x + 10Equation of Blue Line
Slope (m) = rise/runSlope (m) = -1/1 = -1y-intercept (c) = (0, 6)⇒ y = mx + c⇒ y = -x + 662,81,103,126,144,144 find the median
Answers
Answer:
I think that median is given in the picture
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Answer:
114.5
Step-by-step explanation:
103+126 then divide by 2
A state offers specialty license plates that contain 2 letters followed by 3 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system
Answers
I am pretty positive the answer is 17,576
LLNNN, we contain 676000 combinations available for license plates.
How to estimate the number of possible license plates?The number on license plates exists in the form LLNNN, where L denotes a letter and N denotes a number.
As L can be anything from A to Z, there exist 26 combinations for that and as repetition stands allowed, for second and third letters, we also contain 26 combinations available, and therefore 26 × 26 = 676 combinations for letters.
But numbers exist from 0 to 9 i.e. 10 combinations for each place and a total of 10 × 10 × 10 = 1000 combinations.
Therefore, LLNNN, we contain 676000 combinations available for license plates.
To learn more about combinations
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PLS HELP FAST!! What does (87)4 equal?
Write your answer as a fraction, using the / symbol, like this: 42/53
Answers
Answer:
348
Step-by-step explanation:
(87)4
87×4
348
it's simple brackets mean multiplication
HELP ASAP PLEASE
The table below shows the weights of Liam's pumpkin, l(w), and
Patricia's pumpkin, p(w), over a four-week period wherew represents
the number of weeks. Liam's pumpkin grows at a constant rate.
Patricia's pumpkin grows at a weekly rate of approximately 52%.
Assume the pumpkins continue to grow at these rates through week 13.
When comparing the weights of both Liam's and Patricia's pumpkins
in week 10 and week 13, which statement is true?
(1) Liam's pumpkin will weigh more in week 10 and week 13.
3) Patricia's pumpkin will weigh more in week 10 and week 13.
(3) Liam's pumpkin will weigh more in week 10, and Patricia's
pumpkin will weigh more in week 13.
4) Patricia's pumpkin will weigh more in week 10, and Liam's
pumpkin will weigh more in week 13.
Answers
Liam's pumpkin will weigh more in week 10, and Patricia's pumpkin will weigh more in week 13. Then the correct option is C.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The table below shows the weights of Liam's pumpkin, l(w), and Patricia's pumpkin, p(w), over a four-week period which represents the number of weeks.
Liam's pumpkin grows at a constant rate.
Patricia's pumpkin grows at a weekly rate of approximately 52%.
Let x be the number of the week and y be the weight in pounds.
The equation of Liam's pumpkin will be
[tex]\rm y - 2.4 = \dfrac{5.5-2.4}{7-6} (x- 6)\\\\y - 2.4 = 3.1(x- 6)\\\\y = 3.1x - 16.2[/tex]
Then the weight of Liam's pumpkin after 10 weeks will be
y = 3.1 × 10 - 16.2
y = 31 - 16.2
y = 14.8
Then the weight of Liam's pumpkin after 10 weeks will be
y = 3.1 × 13 - 16.2
y = 40.3 - 16.2
y = 24.1
The equation of Patricia's pumpkin will be
[tex]\rm y = a\times (1.52)^{x}[/tex]
For x = 6 and y = 2.5
Then
[tex]\rm 2.5 = a \times 1.52^6\\\\a \ \ = 0.203[/tex]
We have
[tex]\rm y = 0.203 \times (1.52)^{x}[/tex]
Then the weight of Patricia's pumpkin after 10 weeks will be
[tex]\rm y = 0.203 \times (1.52)^{10}\\\\y = 13.36[/tex]
Then the weight of Patricia's pumpkin after 13 weeks will be
[tex]\rm y = 0.203 \times (1.52)^{13}\\\\y = 46.93[/tex]
More about the linear system link is given below.
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James is constructing a circle circumscribed about a triangle. He has partially completed the construction, as shown below. What should be his next step in the construction?.
Answers
From the construction that James is doing the
next step that he should take would be: Use the
circumcenter to determine the center of the
circle.
How to construct a circle from a triangle
In order to construct a circle for the triangle, one
would have to find the perpendicular bisector of
all sides of the triangle.
From the established circumcenter, a pair of
compass would be used to contruct the circle.
Answer:
The correct answer is A.
Connect the arc markings to complete the perpendicular bisector.
Step-by-step explanation:
15/1 x 20/7 dont have a calculator
Answers
Answer:
The answer is given below
Step-by-step explanation:
[tex] \frac{15}{1} \times \frac{20}{7} [/tex]
Multiple denominator with denominator and nenominator with nenominator
We ger
[tex] \frac{300}{7} [/tex]
This is the answer
In decimal by dividing 300 by 7 we get
42.8571
And in mixed form we get
[tex]42 \frac{6}{7} [/tex]
The explanation is given in the picture
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Which values of x and y satisfy both
equations below?
y = 3x
y = x + 16
A X= 8, y = 24
B x = 4, y = 20
CX = 4, y = 12
D x = 0, y = 0
Answers
3x = x + 16
2x = 16
x = 8
y = 3x = 3 (8) = 24
Go for A:
x = 8 y = 24
Write
22
48
in lowest terms.
Answers
Answer:
11 and 24
Step-by-step explanation:
what is the value of the expression -8x3.2
Answers
Answer:
-25.6
Step-by-step explanation:
Hope this helped :>>>
I really need help with this question.. I've been stuck on it for a while
Answers
Answer:
that forms a triangle .
.....
Find the tive-number summary for the data set.
6, 8, 13, 15, 21, 23, 31
A. Minimum = 6
First quartile 31
Median
22
Third quartile = 8
Maximum = 23
B. Minimum = 6
First quartile = 8
Median
15
Third quartile = 23
Maximum = 31
C. Minimum = 31
First quartile = 13
Median = 22
Third quartile : 23
Maximum = 6
D. Minimum = 31
First quartile = 6
Median = 31
Third quartile = 15
Maximum = 8
Answers
Answer:
B
Step-by-step explanation:
Triangle MNO is rotated 180degree using the origin as the center of rotation.
On a coordinate plane, triangle M N O has points (negative 3, 2), (negative 3, 3), (negative 5, 2). Triangle M prime N prime O prime has points (3, negative 2), (3, negative 3), (5, negative 2).
Which sequences of transformations will produce the same results? Check all that apply.
a reflection over the x-axis and then a reflection over the y-axis
a reflection over the y-axis and then a reflection over the x-axis
a 90degree clockwise rotation about the origin and then a 90degree counterclockwise rotation about the origin
a translation 6 units right and then a reflection over the x-axis
a translation 4 units down and then a reflection over the y-axis
Answers
Answer:
A. a reflection over the x-axis and then a reflection over the y-axis
B. a reflection over the y-axis and then a reflection over the x-axis
So, When there is the reflection over to the x axis so it can be the reflection for the y-axis. and, the same is applied for y-axis as well.
Create an equation that describes the greatest horizontal length, H, in terms of greatest vertical length v
Answers
The question illustrates a linear equation, and the equation that represents the greatest horizontal height is H = 2V + 3
How to determine the equation?From the complete question, we have the following highlights:
The greatest horizontal height is three more than twice the greatest vertical length.
This means that:
H = 2 * V + 3
Evaluate the product
H = 2V + 3
Hence, the equation that represents the greatest horizontal height is H = 2V + 3
Read more about linear equation at:
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1) Carolina walked to school on 12 of the 20 school days in March. Which value is NOT equivalent to the fraction of the school days in March that Carolina walked to school?
A) 60%
B) 0.06
C) 3/5
D) 0.60
Answers
The value that is not equivalent to the number of days Carolina walked to school during March is 0.06.
What is a fraction?A fraction represents the proportion or part in a whole, in this case, the number of days Carolina walked to school out of the total days in March.
This relationship can be expressed as:
A fraction:
12/20A simplfied fraction:
3/5 by dividing it into 4A number:
12/20 = 0.60 by dividing 12 by 20A percentage:
60% by multiplying the number by 100Learn more about fractions in: https://brainly.com/question/10354322
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Aladder that is 15 ft. long is leaning against the side of a
building as shown below. If the place where the ladder
touches the level ground is 9 ft. from the base of the
building, how high off the ground does the ladder touch
the building?
Answers
H. 12 ft
Given c=15, and a=9, you can use Pythagorean’s theorem a^2+b^2=c^2 to find b, the height
9^2+b=15^2
81+b^2=225
b^2=144
b=12
Height = 12
solve please!!!!!!!!
Answers
Answer:
m<ABC=42
Step-by-step explanation:
This image shows the majority of the math and all you do to get to that point is add 5x+13 and 3x+33 so you can find x which you will need to complete the equation for m<ABC, and you know they equal 70, which means all you have to do is take 8x+46=70 and work it out giving you x=3. then you can find m<ABC by pluging in 3 to the equation 3x+33, so 3*3=9, and 9+33=42, so your answer is m<ABC=42
Please help!! Will mark brainlyest.
Answers
Answer:
what's your question
Step-by-step explanation:
ello
Which of the following is irrational?
Answers
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
the other 3 are perfect squares and have rational answers.
[tex]\sqrt{1.44} =1.2\\\sqrt{1}= 1\\\sqrt{4} =2[/tex]
[tex]\sqrt{2}[/tex]
A square root of any number that won't result in a whole number is irrational.
In this case, [tex]\sqrt{2}[/tex] is irrational.
Which steps will translate f(x) = 3x to g(x) = 3x + 1 + 4? Shift f(x) = 3x one unit up and four units to the right. Shift f(x) = 3x one unit up and four units to the left. Shift f(x) = 3x one unit to the right and four units up. Shift f(x) = 3x one unit to the left and four units up.
Answers
Answer:
Shift f(x) = 3x one unit to the left and four units up
Step-by-step explanation:
We need to translate :
f(x) = 3x ⇒ g(x) = 3x + 1 + 4Here we need to use a bit of logic.
All of the options involve shifting the f(x) graph one unit and four units in various directions.To shift the graph up by one by horizontal action, we need to move one unit left so the new equation is 3x + 1To shift it up further by 4 vertically, we need to move four units upHence, our final function g(x) is given as :g(x) = 3x + 1 + 4Answer:
Shift f(x) = 3x one unit to the left and four units up
Step-by-step explanation:
put it on test
What is the value of x?
Answers
Answer: 5
Step-by-step explanation:
X + 3/2= 2 1/4 whats the answer
Answers
Move all terms not containing x to the right side of the equation.
Exact Form:
x=15/4
Decimal Form:
x=3.75
Mixed Number Form:
x=3 3/4
hope this helps
Fill in the blanks with the correct coefficient.
And if y’all could answer this too that would help
Answers
Answer:
the final answer is 2x²+17x-12
so to fill in the blank the first box will be 2 and the second box will be 12
An amphitheatre has 17 seats in the first row, 19 in the second, 21 in the third, and so on, for 32 rows. How many seats are in the amphitheatre?
Answers
Answer:
I believe your answer would be 2450 seats
Step-by-step explanation: