Answer:
✔ y = –4x + 5
✔ y = –2x + 3
Step-by-step explanation:
We can write -
The slope-intercept form of the first equation is y = - 4x + 5.The slope intercept form of the second equation is y = - 2x + 3.What is the general equation of a Straight line?
The general equation of a straight line in slope intercept form -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the given system of equations as -
y - 5 = - 4x
3y - 9 = - 6x
The given system of equations is -
y - 5 = - 4x
3y - 9 = - 6x
Now -
y - 5 = - 4x
y = - 4x + 5
and
3y - 9 = - 6x
3y = - 6x + 9
y = (-6/3)x + (9/3)
y = - 2x + 3
So, we can write -
The slope-intercept form of the first equation is y = - 4x + 5.
The slope intercept form of the second equation is y = - 2x + 3.
Therefore, we can write -
The slope-intercept form of the first equation is y = - 4x + 5.The slope intercept form of the second equation is y = - 2x + 3.To solve more questions on straight lines, visit the link below-
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simplify 4 to the 11th power over 4 to the -8th power
Answer:
274878070200
Step-by-step explanation:
4 to the power 11 = 4194304
4 to the power -8 = 0.00001525878
4194304/0.00001525878 = 274878070200
a) Work out the size of angle x.
C
A
to
b) Give reasons for your answer.
В B.
E
F
105
Н
G
Answer:
[tex] x = 75\degree [/tex]
Step-by-step explanation:
[tex] m\angle EFB +105\degree = 180\degree [/tex]
(linear pair angles)
[tex] m\angle EFB = 180\degree - 105\degree [/tex]
[tex] m\angle EFB = 75\degree [/tex]
[tex] \because x = m\angle EFB [/tex]
(corresponding angles)
[tex] \therefore x = 75\degree [/tex]
please help its the last question will give brainliest
Answer:
94
Step-by-step explanation:
circumference of a circle is 2πr or πd with r being the radius or d being the diameter.
30 meters is the diameter, and 30π ≈ 94.2
if you know about functions pls help
Answer:
f(x) is exponential g(x) is quadratic
Step-by-step explanation:
c) the values of function g will exceed function f
help will give brainliest
Answer:
18 and 32
Step-by-step explanation:
the hypotenuse of a triangle is 17 yds long and leg one is 8yds long what is the length of leg two
Answer:
15
Step-by-step explanation:
8^2 + b^2 = 17^2
64 + b^2 = 289
289 - 64 = 225
square root of 225 = 15
A certain college enrolled 29,000. It was reported 54 percent were female and 46 percent were male. In addition 61 percent were over the age of 25. How many students were in each category if 30 percent of those over the age if 25 were male
Answer:
Step-by-step explanation:
Total number of students = 29000
Number of female = 54% of 29000
54/100 x 29000 = 15660 students
Number of male = 46% of 2900
46/100 x 29000= 13340 students
61% of 29000 are over 25 years
61% of 29000= 61/100 x 29000
= 17690 students
Of the pupils over the age of 25, 30% are male
30% of 17690 students are male
30/100 x 7690 =5307 students
The number of females over the age of 25 = 17690 -5307
17690 - 5307 = 12383 female students.
(c) Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework?
(d) Describe what the number 30 in Part (c) mean in the context of the situation?
Answer:
(c) Paul's model predicts a score of 51 for 3 hours
(d) 30 represents the y intercept
Step-by-step explanation:
Given
[tex]y = 7x + 30[/tex]
Solving (c): What is y when x is 3
Substitute 3 for x in [tex]y = 7x + 30[/tex]
[tex]y = 7*3 + 30[/tex]
[tex]y = 21 + 30[/tex]
[tex]y = 51[/tex]
Solving (d): What does 30 represent
An equation is represented as:
[tex]y = mx + b[/tex]
Where
[tex]b = y\ intercept[/tex]
Compare: [tex]y = mx + b[/tex] to [tex]y = 7x + 30[/tex]
[tex]b = 30[/tex]
This implies that 30 represents the y intercept
Pls help I don’t get it
Answer:
Try typing into a scientofic calculator I reccomed the site desmos
Step-by-step explanation:
Answer:
12a + 8b
Step-by-step explanation:
There isn't An outcome due to the fact that it needs more to be worked out, but that's the simplified form, I believe that's what they wanted to know.
Hope It Helps!
3y = x -4
5x - 6y = 8
How many solutions does the system have?
O One solution
O No solution
0 Infinitely many solutions
Answer:
can you pls show more......
Step-by-step explanation:
if layla can right 20 essays in 15 minutes and 8 in 6 minutes then how many can she right in 45 minutes?
Answer:
60! hope this helps!
Step-by-step explanation:
Expand the expression: 3.5 (- 3n + 4) using the Distributive Property
Answer:
-10.5n + 14
Step-by-step explanation:
Solve the equation -6(x - 1/2) = 3x + 3 - 9x
Answer:
um the answer is 0=0 (no cap)
Step-by-step explanation:
hope this helps!
please mark me as brainliest. Thanks!
Answer:
Step-by-step explanation:
Distributive property: a(b +c) =(a*b) + (a*c)
-6(x - 1/2) = 3x + 3 - 9x
[tex]x*(-6) - \frac{1}{2}*(-6) = 3x - 9x + 3\\\\[/tex]
[tex]-6x + 3 = -6x + 3\\[/tex]
So, there are infinity solutions
(3-4 +5-3)-²
help me
Answer:
1
Step-by-step explanation:
Answer:
Your answer is literally 1
Step-by-step explanation:
(3−4+5−3)2
=1*1
=1
Hope this is what your looking for
help pls ill mark as brainliest if correct
Step-by-step explanation:
5 miles =8 km
? miles=74 km
[tex] x \: miles = \frac{74 \times 5}{8} \\ = 46.25 \\ \frac{5 \: miles}{8 \: km} = \frac{46.25 \: miles}{74 \: km} \\ [/tex]
PLEASE ANSWER and show work
im literally giving 20 brainly points so PLEASE HELP ME
Answer:
I wrote out the answers on top of the sheet. Hope this helped!
Step-by-step explanation:
A sports team donates 252 tickets to a sporting event, with tickets to be shared equally among 9 classrooms. How many tickets does each classroom receive?
Answer:
28
Step-by-step explanation:
you do
252 divided by 9 and you get 28 as an answer
28 CADA AULA
Step-by-step explanation:DIVIDES 252 ENTRE 9
PLS HELP ILL GIVE BRAINLIEST!!
Answer:
y = -7/2x - 7
Step-by-step explanation:
let me know if you need the steps . . .
Tell whether a triangle can have sides with the
given lengths. Explain, why or why not.
3x + 2, x?, and 2x when x = 4
Answer:
[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]
Step-by-step explanation:
Given
Shape: Triangle
Dimension: 3x + 2, x^2 and 2x
[tex]x = 4[/tex]
Required
Determine if it has equal sides
To do this, we simply substitute 4 for x in the given dimensions
3x + 2
[tex]3x + 2 = 3 * 4 + 2[/tex]
[tex]3x + 2 = 12 + 2[/tex]
[tex]3x + 2 = 14[/tex]
x^2
[tex]x^2 = 4^2[/tex]
[tex]x^2 = 16[/tex]
2x
[tex]2x = 2 * 4[/tex]
[tex]2x = 8[/tex]
[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]
What are the other two representations of this ratio 15 to 3
Answer:
you can answer it like 15 to 3 or
15:3
The expression 3(-2m + 5) - 6(-4m - 2) can be written in the form am + b. What is the value of a + b?
Answer: 45
Step-by-step explanation:
3(-2m + 5) -6(-4m - 2) =
-6m + 15 + 24m + 12=
18m + 27
18= a 27= b 27 + 18= 45
The value of the expression a + b is 45.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
First, we can simplify the expression using the distributive property:
3(-2m + 5) - 6(-4m - 2) = -6m + 15 + 24m + 12
Combining like terms, we get:
18m + 27
So, a = 18 and b = 27, which means:
a + b = 18 + 27 = 45
Therefore,
The value of a + b is 45.
Learn more about expressions here:
https://brainly.com/question/3118662
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If a point (5,2) is rotated counterclockwise 90º about the origin, its image will be point
(Im on a timed test, please help)
theres are the answer choices:
A. (-2, 5)
B. (-5, 12)
C. (2, 5)
D. (2, -5)
Answer:
The answer is A
Step-by-step explanation:
If an ordered pair was added to the table, which of the following pairs would result in the table becoming not a function. (-3, 6) (0, 8) (3, 20) (8, 4) (-10, 8)
(A) (– 8, 8) (C) (8, 3) ( B) (6, 3)(D) (– 3, 4)
help please
Answer:
the answer is a I just took the test and its right
Step-by-step explanation:
Solve each multi-step inequality
6 - 8n > - 8 - 6n
Answer:
n<7
Step-by-step explanation:
hope i did okay for you
Answer:
7>n
Step-by-step explanation:
6-8n>-8-6n
Add 8n on both sides
6>-8+2n
Add 8 on both sides
14>2n
Divide
7>n
What would you multiply by to increase a number by 4%?
Answer:0.04
Step-by-step explanation:4% is just 0.04. Example I multiply 2 by 4% i get 0.08. I multiply 2 by 0.04 i get 0.08. Hope this helped.
Which best describes the reflection?
Which term has the definition "A fraction when the top and bottom cannot be any smaller, while still being whole numbers"? Group of answer choices Numerator Simplest Form Denominator Least Common Multiple (LCM)
Answer:
simplest form
Step-by-step explanation:
Simplest form is a method of converting the fraction to its lowest multiple.
For example, the fraction 25/100 isn't in its simplest form
Both the numerator and the denominator can be divided by 5. When divided by 5 the fraction becomes 5/20.
5/20 is still not in its simplest form because it can be divided by 5. When divided by 5, the fraction becomes 1/4.
1/4 is now in its simplest form because both the numerator and denominator cannot be divided by any other number
Rewrite the following expression using the properties of logarithms.
log2 z + 2 log2x + 4 log9 y + 12 log9 x - 2 log2 y
You must show all of your work to receive credit.
if <TIS = 48°, Complementary TIS = ?
Step-by-step explanation:
complementary angle = 90 - angle
= 90- 48= 42 °
hope this will be helpful to you .
plz mark my answer as brainlist if you find it useful.
Angle A and B are supplementary. I m∠A = 143°, find m∠B
I don't understand the question.
Answer:
b=37
Step-by-step explanation:
if the angles are supplementary then they will add up to equal 180.
to find b you just subtract 143 from 180 to get 37