Given:
The graph of a line.
To find:
The equation of the line in slope-intercept form and standard form.
Solution:
From the given graph it is clear that the line passes through the points (0,-3) and (4,0). So, the slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{0-(-3)}{4-0}[/tex]
[tex]m=\dfrac{3}{4}[/tex]
The slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
The y-intercept of the given line is -3 and the slope is [tex]\dfrac{3}{4}[/tex]. So, the slope intercept form of the line is:
[tex]y=\dfrac{3}{4}x+(-3)[/tex]
[tex]y=\dfrac{3}{4}x-3[/tex] ...(i)
Standard form of a line is:
[tex]Ax+By=C[/tex]
Multiply both sides by 4 in (i).
[tex]4y=3x-12[/tex]
[tex]12=3x-4y[/tex]
[tex]3x-4y=12[/tex]
Therefore, the slope intercept form of the line is [tex]y=\dfrac{3}{4}x-3[/tex] and the standard form of the line is [tex]3x-4y=12[/tex].
How do I answer this? I'm so confused
Answer:
Draw a graph of f(x) and q(x) also find x-intercept and y
Find the area of the shaded region of the trapezoid.
M 찌
18
9
A. 12 sq. units
B. 48 sq. units
C. 60 sq. units
D. 36 sq. units
Number 26 (PlSss Help I really need help on this) I’ll give 15 points!!!!!!
[tex]\mathcal\pink{The \: answer \: is }[/tex]
only one window has height that is a whole number of centimeters
[tex]\mathcal{HOPE \: IT \: HELPS}[/tex]
[tex]\huge\pink{mark \: as \: brainliest}[/tex]
PLZ ANSWER NEED IT ASAP
Answer:
80 square units
Step-by-step explanation:
beep
I need this fast. PLSS Help.
Answer:
C
Step-by-step explanation:
Basically, ignore Cleveland bc it is just there to throw you off. Next, I recommend making a number line and plot these numbers.
-15 F -13 F -12 F -10 F -9 F
______________l______l_______l_________l________l__________l_________
Now go through the different options based on if they are warmer (or a bigger number): A (the first one) is not true because -15 is less than -13. B is not true bc is says on the left when it's on the right. D is incorrect because 12 is to the right, not the left :)
The answer is C by order of elimination and by logicccc :)
Hope this helped!!! (psstttt! there's a brainiest button that will really help me :)
For questions 7- 10, given that each shape is a rhombus, find the missing information.
HELP ASAP !!!!
Answer:
the answer is b
Step-by-step explanation:
/////////////////////////////
Answer:
I think it's B
Step-by-step explanation:
So sorry if I'm wrong. Have a nice day!
5 friends split 1/2 of a chocolate bar. How
much does each friend eat?
Draw a model.
Answer:
1/10
Step-by-step explanation:
the friends eat 1/10 of the whole bar or 1/5 of half a bar
In how many ways can a committee of 8 sit in a row if the chairman occupies the middle seat??
find the mean and median of these data: 2, 7, 13, 15, 17, 19
Pls Pls answer and HURRY
Answer:
Mean: 12.166
Median: 14
Step-by-step explanation:
Answer:
mean: 73 ÷ 6 (amount of numbers in the list) = 12.166
median (middle number): 14
Step-by-step explanation:
to find the mean (average) you add all the numbers in the list and divide by the numbers there are (6 in the above problem)
2+7+13+15+17+18 = 73÷6 = 12.16
select the three fractions that are less than 1/2
Answer:
A,D,F are less then 1/2
Step-by-step explanation:
Answer:
1/8
1/16
1/6
Step-by-step explanation:
1. 1/2 = 0.5 2. 1/2 = 0.5
1/6 = 0.167 1/8 = 0.125
29 minebvfbtynuixxmiwqwnnnfbrfbrttghtbbnuqeien
Answer:
ok? pulls out really rare pokemon card ;)
Step-by-step explanation:
Deann saved y dollars last month. She saved more than 3 times as much as the amount of money her brother saved, x. Which inequality
represents the relationship between the amounts of money Deann and her brother saved?
-100 POINTS-
Answer:
Yx3 > X
Step-by-step explanation:
Hope this helps! Owa Owa!
Answer: i dont know
Step-by-step explanation:
divide then write in simplest form 5 divided by 5/6, 3 divided by 5/6, 10 dived 5/6 4 divided 5/9, 6 divided by 2/3
Answer:
Step-by-step explanation:
y= -1/4x
Use the distributive property to match equivalent expressions.
74-4 - x)
28 - 7x
-28 - 7x
-7(4-x)
28 + 7x
7(4 + x)
-28 + 7x
-7(4+x)
Answer:
7(-4 - x) = -28 - 7x
-7(4 - x) = -28 + 7x
7(4 + x) = 28 + 7x
-7(-4 + x) = 28 - 7x
Step-by-step explanation:
To apply the distributive property, use the term outside the bracket to multiply each of the term you have inside the bracket.
Thus:
✔️7(-4 - x) = 7(-4) +7(-x)
= -28 - 7x
✔️-7(4 - x) = -7(4) -7(-x)
= -28 + 7x
✔️7(4 + x) = 7(4) + 7(+x)
28 + 7x
✔️-7(-4 + x) = -7(-4) -7(+x)
= 28 - 7x
Write an inequality for the graph below.
The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?
Answer:
192 markers
Step-by-step explanation:
if 8 = 4% then 2=1%
so we can assume there are 200markers in the package.
8-200= 192 markers
1.
What is the equation of a circle with center (-5, 8) and radius 9?
Answer:
Your equation is:
(x−5)2+(y+8)2=92
Expanding from general form you can write this as:
x2−10x+y2+14y+−8=0
Step-by-step explanation:
i think its correct ig don't know sry but i tried hope it helps you ✨
Answer:
[tex](x+5)^2+(y-8)^2=81[/tex]
Step-by-step explanation:
General equation of a circle is [tex](x-a)^2+(y-b)^2=r^2[/tex].
Center coordinates = (-5, 8)
a = -5 b = 8 r = 9
[tex]\\(x+5)^2+(y-8)^2=9^2[/tex]
[tex](x+5)^2+(y-8)^2=81[/tex]
Please do mark as brainliest. Hope this helps! :)
sundip and emma have some money
the ratio of sundips money to emmas money is 3:5
emma spends £450 of her money
the ratio of sundips money to emmas money is now 2:3
found how much money sundip has
Answer:
Step-by-step explanation:
Can you please answer the Sundip Ratio question?
£180.00
The amount of money Sundip have £ 2700.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
ratio of sundips money : emmas money = 3:5
emma spends £450
ratio of sundips money : emmas money = 2:3
So, Sundip have money = 3x and Emma have money = 5x.
Now, Emma spends £450.
then she is left = (5x-450).
Now, the ratio of Sundip's money to Emma's money is given as 2:3 = 2/3.
2/3 = 3x/(5x-450).
2(5x-450) = 3*3x
10x - 900 = 9x
x = 900.
Thus, Sundip have 3x = 3 x 900 = 2700.
Learn more about Ratio here:
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What is the rate of change of the function y
- 2 x – 52
Answer:
The rate of change is -2
Step-by-step explanation:
Given
[tex]y = -2x - 52[/tex]
Required
The rate of change
The slope intercept of a fuction is:
[tex]y =mx + b[/tex]
Where
[tex]m \to[/tex] rate of change
So, by comparison; [tex]y = -2x - 52[/tex] and [tex]y =mx + b[/tex]
[tex]m = -2[/tex]
what is 30 percent of 279?
Answer: 83.7
Step-by-step explanation: Do 0.3 x 279 to get 83.7.
Karen makes $5 per hour baby-sitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend baby-sitting?
F)11
G)9
H)6
J)7
Answer:
F) 11
Step-by-step explanation:
We know that she worked 18 hours, and earned $139.
Let's just say that she spent x hours baby-sitting.
If she makes $5 per hour, the total amount of money she earned from baby-sitting would be 5x.
If she spent x hours baby-sitting, that would mean that she spent 18-x hours giving music lessons.
So, the total amount of money she earned from music lessons would be 12(18-x).
Now we can plug this into an equation.
5x + 12(18-x) = 139.
5x + 216 - 12x = 139.
5x - 12x = -77
-7x = -77
x = 11.
This means that she spent 11 hours baby-sitting.
Hope this helps!
can I get some help?
Answer:
60x80 i think 4800
Step-by-step explanation:
What is the volume of the rectangular prism shown below?
in.
in
3 in.
63 in
in.
Volume = length x width x height
Volume = 6 1/2 x 3 x 4/5 = 15 3/5 cubic in.
Answer:
15 3/5.
Step by Step Explanation:
4/5 * 3 = 2 2/5
2 2/5*6 1/2 = 15 3/5.
I need help with What’s the missing measure G bahah
Answer:
x = 33°
Step-by-step explanation:
57 + 90 + x = 180
147 + x = 180
x = 33
How much INTEREST would you earn investing $5000 that earns 7% simple annual interest for 3 years?
Answer:
$1,125.26
Step-by-step explanation:
Start of Year 1 5000.00
Start of Year 2 5350.00
Start of Year 3 5724.50
Start of Year 4 6125.26
Ms. Parvin pays a tax every year because she owns a house.
Which term best describes this tax?
Answer:
it's called property tax
Step-by-step explanation:
when you have to pay taxes on property you have its property tax
What are the values of x and y in the diagram? Use an equation to solve the problem. (the diagram
has 2 different y's, so you need the TOTAL of the y's)
Answer:
x =35
y=72.5 and the 2nd y also equals 72.5
Step-by-step explanation:
x=35- it is a vertical angle
both ys + 35 makes a straight line (180)
2y+35=180
2y=145 (subtract 35 from both sides)
y=72.5 (divide by 2)
Use long division to determine the decimal equivalent of 5/9
A 0.3
B 04
C 0.5
D 0.6
Answer:
C) 0.55...
Step-by-step explanation:
Write a rule of the nth term of the sequence: 2,20,50,92,...
9514 1404 393
Answer:
d an = 6n^2 -4
Step-by-step explanation:
You only need to look at the values of the expressions for n=1 to determine the correct formula.
For n=1, the formula values are ...
a: 4 +6 = 10b: 4 -6 = -2c: 6 +4 = 10d: 6 -4 = 2 . . . . . . the correct first termThe rule for the sequence is ...
[tex]a_n=6n^2-4[/tex]
Which choices describe a Subscript n Baseline = 4 (0.9) Superscript n? Check all that apply.
S1 = 4
S2 = 6.84
S3 = 10.156
The sequence diverges.
Answer:
b and d
Step-by-step explanation:
edge 2021
If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.
What is a geometric sequence?Suppose the initial term of a geometric sequence is a
and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
a, ar, ar², ar³, ...
The sequence is given below.
[tex]\rm a_n = 4 (0.9)^n[/tex]
Then the sum of the sequence will be given as
The first term (a) is 4. And the common ratio (r) is 0.9.
Then we get
[tex]\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)[/tex]
For n = 1, we have
S₁ = 40 (1 - 0.9)
S₁ = 40 x 0.1
S₁ = 4
For n = 2, we have
S₂ = 40 (1 - 0.9²)
S₂ = 40 x 0.19
S₂ = 7.6
For n = 3, we have
S₃ = 40 (1 - 0.9³)
S₃ = 40 x 0.271
S₃ = 10.84
If the common ratio is less than one then the sequence will diverge.
Learn more about geometric sequence here:
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