![Graph The Line With Intercept 6 And Slope [tex] - \frac{3}{2} [/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/p3Y3pgkZvLRXhbLwPYxGvCA5QRhz9IRx.jpeg)
Answers
Given:
The y-intercept of a line = 6
The slope of the line = [tex]-\dfrac{3}{2}[/tex]
To find:
The graph of the given line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get
[tex]y=-\dfrac{3}{2}x+6[/tex]
At [tex]x=0[/tex],
[tex]y=-\dfrac{3}{2}(0)+6[/tex]
[tex]y=0+6[/tex]
[tex]y=6[/tex]
At [tex]x=2[/tex],
[tex]y=-\dfrac{3}{2}(2)+6[/tex]
[tex]y=-3+6[/tex]
[tex]y=3[/tex]
Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.
The required graph is shown below.
![Graph The Line With Intercept 6 And Slope [tex] - \frac{3}{2} [/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/tuHQ48EZwl9fyH9zo2XW7Az6kDgSzMyb.jpeg)
Related Questions
plz plz guys solve this i will give you brainliest with procedure
Answers
Answer:
5:9
Step-by-step explanation:
1/5kg:360g
kg to g
1kg=1000g
1/5kg=1/5x1000
=200g
200g:360g
200g/360g
200/360
5/9
5:9
Which of the following is an example of quantitative data?
A person's Zip Code
The color of your car
A Person's Height
A person's city of residence
Answers
Answer:
a person's height
Step-by-step explanation:
thing that you can count
Answer:
a person's height helpful answer
Question 3
Simplify
4x² × 2x³
Answers
Step-by-step explanation:
[tex]4 {x}^{2} \times 2 {x}^{3} = 8 {x}^{5} [/tex]
Answer:
Step-by-step explanation:
4x^2 * 2x^3
(2)^2 *x^2 *2*x^3
(2)^2+1 *x^2+3
(2)^3 *x^5
8*x^5
8x^5
another method
4*x^2*2*x^3
multiply 4 and 2
8*x^2+3
8x^5
in multiplication if the bases are same we add their power(exponent).In division if the bases are same we subtract their power(exponent).
What is the probability that a randomly chosen person from this group is a
sophomore and attended the jazz band concert?
Round your answer to two decimal places.
A. 0.56
B. 0.52
C. 0.26
D. 0.31
Answers
Answer:
0.26 or C
Step-by-step explanation:
Basically you would do the sophomores that attended the jazz band concert (35) and divide that by the total number of students. (137) - - 35 ➗ 137 = .2554744526 round that to .26 or 0.26
The probability that a randomly chosen person from this group exists a sophomore and attended the jazz band concert is 0.31.
What is probability?Probability exists about calculating or estimating how possible or 'probable' something exists to occur.
Let A be the event that a person exists a sophomore.
B be the event that a person attended volleyball game.
A∩B denote the event that a person exists a sophomore and attend volleyball game.
P be the probability of an event.
We have to estimate the value of P(A∩B),
Given: A∩B = 42
P(A∩B) = 42/137 = 0.3065 approximately equal to 0.31
P(A∩B) = 0.31.
The probability that a randomly chosen person from this group exists a sophomore and attended the jazz band concert is 0.31.
Therefore, the correct answer is option D. 0.31.
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What value of x will make the triangle congruent
Answers
Answer:
x = 3/5 = 0.6
Step-by-step explanation:
By the ASA Triangle Congruence Theorem, the two given triangles are congruent (vertical angles are congruent). Because we know that corresponding parts of congruent triangles are congruent, we can write the following equation: 7x - 3 = 2x. Now we can solve:
7x - 3 = 2x
-3 = -5x
3/5 = x
Pls help LOL I WILL MARK U BRAINLIEST‼️‼️‼️‼️
Answers
Answer:
B=17
A=16
Step-by-step explanation:
It is my friend OK if you want say again and I can ans
please help! (listing BRAINLIST and giving points)
Answers
Hope it helps : )
How would you complete the square on the left side of this equation? x^2-6x=15 A. Add 6 to both sides of the equation. B. Subtract 6 from both sides of the equation. C. Add 9 to both sides of the equation. D. Subtract 9 from both sides of the equation. Please select the best answer from the choices provided A B C D
Answers
Answer:
C. Add 9 to both sides of the equation.
Step-by-step explanation:
Given
[tex]x^2 - 6x = 15[/tex]
Required
Complete the squares
We have:
[tex]x^2 - 6x = 15[/tex]
---------------------------------------------
Take the coefficient of -6 i.e. -3
Square it (-3)^2 = 9
Add 9 to both sides
---------------------------------------------
Hence, C is correct
Factor of 15x - 20y
Answers
Answer:
0
Step-by-step explanation: Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20y' to each side of the equation.
15x + 20y + -20y = 0 + -20y
Combine like terms: 20y + -20y = 0
15x + 0 = 0 + -20y
15x = 0 + -20y
Remove the zero:
15x = -20y
Divide each side by '15'.
x = -1.333333333y
Simplifying
x = -1.333333333y
ESTION 1
T1
- Say whether you think each statement is True or False. Motivate your answer.
1 It always makes sense to talk about a certain percentage of a number, for example 1%
Answers
9514 1404 393
Answer:
False
Step-by-step explanation:
"Always" and "never" statements are generally false--especially when they relate to something like a topic of conversation. Even in the context of math and physics, we find exceptions to most "rules."
help help please help help
Answers
Answer:
The range is 5.
Step-by-step explanation:
You can deduce this by concluding all other statements are true, or by calculating the range. 10 - 1 = 9
Which mathematical sentence most Accurately expresses the information in the problem below?
See Picture....
Answers
Answer:
Don't quote me on this but it's probably C. 12c ≥ 88
Step-by-step explanation:
This is because he packages 88 eggs into cartons of 12.
88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.
Evaluate the expression 53 ÷ (13 − 8) × 2.
Numerical Answers Expected!
Answers
53 ÷5x2
10.6x2
21.2
Hope this helps
Answer:
21.2
Step-by-step explanation:
BODMAS : First bracket, then Division then multiplication.
[tex]53 \div (13-8) \times 2\\53 \div 5 \times 2\\10.6 \times 2\\21.2[/tex]
solve 14a-3b+9c=18 for a. Do not use a= in your answer
Answers
Answer:
9/7 + 3/14b - 9/14c
Step-by-step explanation:
See image below:)
Please help, I’m so lost in math
Answers
Answer:
[tex]r = 15 \times 5 \\ r = 75[/tex]
Answer:
75
Step-by-step explanation:
5 = r/15
what we want to do is solve for r
to do this we want to isolate the variable (r) using inverse operations
5 = r / 15
so to solve for r we want to get rid of the 15
r is being divided by 15
the inverse of division is multiplication
so to get rid of the 15 we multiply by 15
but remember whatever we do to one side we must do to the other side, so we multiply each side by 15
15 * 5 = 75
r / 15 * 15 = r
we're left with r = 75
we can then check are work by substituting 75 for r and then see if the equation is true
5 = r/15
* substitute 75 for r *
5 = 75/15
75 / 15 = 5
we're left with 5 = 5 which is true
Patrick wanted to gather data about the cost of joining a community pool in his area. He plotted the data and determined that the average community pool membership cost consists of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 40.
Identify and interpret the y-intercept in this model.
Answers
Answer:
40
Step-by-step explanation:
You can find y intercept by looking at the end of the equation, that’s what’s added. So +40 is the y intercept
The y intercept in this equation represents the one-time registration fee
A jeweler purchases a necklace for $80. She will increase the cost by 50% to sell in her
store. What will the jeweler charge for the necklace to her customers?
Answers
Answer:
120
Step-by-step explanation:
First find the markup
80 * 50%
80*.5
40
Add this to the original cost
80+40
120
The price will now be 120
In rhombus LMNO, diagonals top enclose L N end enclose and top enclose M O end enclose intersect at P. If the measure of angle L P M is represented by 2x + 70. Solve for x.
Answers
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The diagonals of a rhombus cross at right angles.
2x +70 = 90
2x = 20 . . . . . . . subtract 70
x = 10 . . . . . . . . . divide by 2
Find the area of each sector. Round your answers to the nearest tenth.
Answers
Answer:
a = 117.3 cm²
Step-by-step explanation:
a = (1/2)∅r²
a = (1/2)(7π/6)(8²)
a = (1/2)(7 * 3.14159/6)(64)
a = 117.3 cm²
Smedley has two rolls of crepe paper, one with 30 yards and one with 40 yards. If he cuts both rolls into 5-yard streamers, how many streamers will he have?
Answers
Answer:
He will have 14 streamers
Answer:
2
Step-by-step explanation:
so u multiply it by 2846 take away the 8, 4 and 6 and all ur left is with 2
[tex]f(x)=\sqrt(x) \\ g(x)=\sqrt((4)/(5)x)[/tex]
Identify a horizontal or vertical stretch or compression of the function f(x)=\sqrt(x) by observing the equation of the function g(x)=\sqrt((4)/(5)x)
A. A vertical compression by a factor of 5/4
B. A horizontal compression by a factor of 5/4
C. A horizontal stretch by a factor of 5/4
D. A vertical stretch by a factor of 5/4
Answers
9514 1404 393
Answer:
C. A horizontal stretch by a factor of 5/4
Step-by-step explanation:
Replacing x in f(x) by kx introduces a horizontal compression by a factor of k, or a stretch by a factor of 1/k. Here, we have k=4/5, so the curve is stretched horizontally by a factor of 5/4.
4 1) Which of the following is the correct way to solve
(i( 11 x 44? 4 X 11 44 (0) (ii) 4 X 44 11 X 44 4 X 44 11 (iii) (iv) 11 X 44
Answers
Answer:
c)4*44 / 11
Step-by-step explanation:
which of the following is the correct way to solve 4/11 * 44
a) 4*11 / 44
= 44/44
= 1
b) 4*44 / 11*44
= 176/484
= 44/121
c)4*44 / 11
= 176/11
= 16
d)11*44 / 4
= 484/4
= 121
Correct way
4/11 * 44
= (4 * 44) / 11
= 16
What theorem shows that △NTM ≅△SMT?
Answers
Answer:
Step-by-step explanation:
Side, side angle (SSA) theorem shows that △NTM ≅△SMT.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
From the given figure ΔNTM and ΔSMT share a common side MT.
Now, line segment SQ is congruent to line segment NQ and similarly line segment MQ and NQ, and hence line segment SM and NT are congruent and the angle formed by ∠STM and ∠NMT are also measure the same. because of the similar intersections of te line segments.
Therefore ΔNTM and ΔSMT are congruent by side, side angle theorem.
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The function of f(x) = 3x + 2 has a domain of -3 < x < 5. What is the domain of f-1(x)?
Answers
====================================================
Explanation:
Plug in the lower bound of the domain, which is x = -3
f(x) = 3x+2
f(-3) = 3(-3)+2
f(-3) = -9+2
f(-3) = -7
If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.
If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.
The range of f(x) is -7 < y < 17
Recall that the domain and range swap places when going from the original function f(x) to the inverse [tex]f^{-1}(x)[/tex]
This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.
-----------------------
In short, we found the range of f(x) is -7 < y < 17.
That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.
The domain of the resulting function exists on all real values that is the domain is -∞ < f-1(x) < ∞
How to find the domain of an inverse function?The domain of a function are the independent values of the function for Which it exists.
Given the function f(x) = 3x + 2
Find its inverse
y = 3x + 2
Replace x with y
x = 3y + 2
Make y the subject of the formula:
3y = x - 2
y = (x-2)/3
The domain of the resulting function exists on all real values that is the domain is -∞ < f-1(x) < ∞
Learn more on domain here: https://brainly.com/question/26098895
fill in the missing digits pls asap
Answers
Answer:
3 8
× 2 7
______
2 6 6
+ 7 6
_______
1 0 2 6
Answer:
38
x 27
266
+ 76_
1026
Mention any two similarities between rectangle and square.
Answers
The similarities between a rectangle and a square as:
All 4 angles are 90 deg each.
Opposite sides are parallel and equal.
The diagonals bisect each other.
Circles can circumscribe both figures.
The diagonals form the diameter of the circumscribing circle.
The square root of the sum of the squares of adjacent sides is the diagonal.
The area is the product of adjacent sides.
The diagonals bisect the figure into 2 congruent triangles.
Join the midpoints of opposite sides and you get 4 similar figures of 1/4 the area of the original figure.
Join the midpoints of 4 sides in order and you get a rhombus, whose area is half that of the original figure.
An orthocenter is the intersection of three.....?
Answers
Answer:
i don't get it
Step-by-step explanation:
Answer: An orthocenter is the intersection of three: Altitudes in a triangle.
Step-by-step explanation:
Altitude--
An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.
Orthocenter--
An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.
1,4,1,8,1,16,1 what’s next in the sequence?
Answers
Answer:
32
hope this helps
have a good day :)
Step-by-step explanation:
The police station has a parking lot that is 72 feet long by 41 feet wide. Each parking spot measures 8 feet wide and 18 feet deep. Each spot has 23 feet behind it Por the cars to back out. How many parking spots can the police station have?
Answers
9514 1404 393
Answer:
9
Step-by-step explanation:
The total depth of a parking space must be (18 ft +23 ft) = 41 ft. The lot is 72 ft by 41 ft, so can have (72 ft)/(8 ft) = 9 parking spaces.
This makes no sense, help pls
Answers
Please mark me branliest!
**Answer**
16 if you want exact, 20 if you want a little over.
**Explanation**
So check this... it's $50 per student that attends the camp, right?
(Nod if you're with me.)
The dude buys 5 dozen donuts for 16 days. 50 x 16 = 800
5 dozen is the same as 50 donuts.
You multiply to get the total amount of donuts he buys in the total days (16).
Each 10 donuts costs 10 dollars.
If the dude buys 800 donuts it cost him $800.
And it costs 50 dollars for someone to go to camp.
So you divide 800/50 = 16 students
Now the problem says "In order to break even" I'm not sure what that means. But I'm assuming it doesn't want 16 then, because the price of 16 students would be the same (even) as the price of donuts that Mr. Brook buys. In that case it would be 20.
You are very welcome!!