Answer:
y = - [tex]\frac{3}{4}[/tex] x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = [tex]\frac{0-3}{4-0}[/tex] = - [tex]\frac{3}{4}[/tex]
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - [tex]\frac{3}{4}[/tex] x + 3 ← equation of line
Last week, Sia ran 11 miles each day for 5 days and then
took 2 days off. Did she run at least 6 miles last week?
plsss
Answer:
Step-by-step explanation:
Sia ran
11*5=55 miles
2 days off
55 miles/7days=7.85 miles/day average
yes, she did ran at least 6 miles per week
Uhhhh someone plz help me I will give brainliest
Answer:
18
Step-by-step explanation:
3(4) + 3(2)
12 + 6 = 18
Find the real solution(s) of the following equation. n to the power of 3 =64
Answer:
n = 4
Step-by-step explanation:
To do this you would find the cube root of 64 which is 4.
n =4 will be the only solution of the following equation. n to the power of 3 =64.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given an equation n to the power of 3 =64.
This equation can also be represent as:
n³ = 64
taking cube root of the Both sides
n = ∛64
n = 4
Therefore, the real solution of the following equation. n to the power of 3 =64 is n = 4.
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
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In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats are $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?
Answer: Given:
4 shirts, 4 pairs of trousers , and 2 hats is $560
9 shirts, 9 pairs of trousers , and 6 hats is $1,290
1) Let x be the price of 1 shirt
Let y be the price of 1 pair of trousers
Let z be the price of 1 hat
2) 4x + 4y + 2z = 560
3) 9x + 9y + 6z = 1,290
4) (9x + 9y + 6z) / 3 = 1,290 / 3
3x + 3y + 2z = 430
5)
4x + 4y + 2z = 560
- (3x + 3y + 2z = 430)
x + y = 130
6) 3(x+y) + 2z = 430
3(130) + 2z = 430
390 + 2z = 430
2z = 430 - 390
2z = 40
z = 40/2
z = 20
7) x = price of 1 shirt; y = price of 1 pair of trousers ; z = price of 1hat
x + y = 130 ; z = 20
130 + 20 = 150
The price of 1 shirt, 1 pair of trousers, and 1 hat is $150.
So this is not impossible!
-chiyoku toga
Answer:
hey
Step-by-step explanation:
A snail is crawling straight up a wall. The first hour it climbs 16 inches, the second hour it climbs 12
inches, and each succeeding hour, it climbs only three-fourths the distance it climbed the previous
hour.
How far does the snail climb during the 7th hour? Round to the nearest inch.
a. 3 inches
b. 2 inches
c. 4 inches
d. 5 inches
I need help!!
Answer:
A. Three inches
Step-by-step explanation:
Exact amount is: 2.84765625
I need your help, please!
Answer:
Option 3. r=800m
Step-by-step explanation:
From the table we can see that with each addition of a month the cost raises 800 dollars. (9,10).
Answer:
The third one.) r = 800m
Step-by-step explanation:
800m = 800 × m
Ex. 800 × 2 = 1,600
800 × 5 = 4,000
and so on...
I need help :,) but I really don’t even know-
Answer:
8 yards. Trust me. I love mental math.
Step-by-step explanation:
Convert the following mixed number into a improper fraction.5 1/2
Answer:
Step-by-step explanation:
[tex]\text{rule}=a+\frac{b}{c}=\frac{ac+b}{c}\\ \\ 5\frac{1}{2}=\frac{5(2)+1}{2}\\ \\ \frac{11}{2}[/tex]
What is the area of "triangle " XYZ to the nearest tenth of a square inch? Use special right triangles to help find the height. Show your work.
Answer:
That is a 30 60 90 triangle.
In such a triangle the "middle" size = short side * sq root (3)
height = 5 * sq root (3) = 8.6602540378
Area = (1/2) * 5 * 8.6602540378
Area = 2.5 * 8.6602540378
Area = 21.6506350946 square centimeters
Step-by-step explanation:
Answer:
A=24√3
Put In Decimal Form:41.5692193817^3
Step-by-step explanation:
4 Inches on short side, this means that the long side is 8 inches because the short side is always 1/2 the length of the long side, The medium side length is 4√3. So you need to take the short side and medium side and multiply them by 1/2, look below for how to do it.
A=1/2(4)(4√3)
2(12√3)
24√3
Function 2
ху
213
2
315
417
9
2
Consider the two functions. Which statement is true?
A)
Function 1 has a greater rate of change by 2
re
ning
:16
B)
Function 2 has a greater rate of change by 2
3
Function 1 has a greater rate of change by
2
Function 2 has a greater rate of change by
3
Answer:
b
Step-by-step explanation:
i think
Answer:
B
Step-by-step explanation:
Find the area of the larger rectangle.
I'm guessing 90cm ?? I'm not sure
5. Use the Distributive Property to rewrite the expression in its equivalent form 24x-18 6 ANSWER
A cable company charges $70 per month for cable service. Please help ASAP Check screenshot pleasee (20 points) Thank youu! :)) <333 I put it to give ya 20 points but i dont know if it did it
Answer:
for #1: 70x = y
for #2: 70x + 100 = y
Step-by-step explanation:
you pay $70 for x amount of time with will equal your total therefore it's 70x = y
if you have to pay a one-time fee of $100.00 then you have to add that to your equation giving you 70x + 100 = y
hope this is right
hope it helps too :)
I need help please help with this question I will give brainliest this is a major grade so no joking around please
Answer:
A
Step-by-step explanation:
The transformation that describes reflection over the x-axis is (x,-y)
Please help me! (Tangent Ratios) (30 points)
Answer:
Step-by-step explanation:
A = 48/20
B = 20/48
A pelican is flying 17 feet above sea level. Directly below the bird is a trout that is swimming 23 feet below
sea level.
What is the distance between the pelican and the trout?
A: -40 feet
B: -6 feet
C: 6 feet
D: 40 feet
The answer is x = 7
Problem is I don’t how to get there
Answer:
x=7
Step-by-step explanation:
okay so you can see that there is a isocales triangke so that means the other base angle has to be 8x
then you know that the dioganels are perpendicular to each other
so then you know that 8x+5x-1+90=180
13x-1=90
13x=91
x=7
hope that helps
Simplify: (55° +7s? + 3)+(75° – 5s?)
What fraction is closest to zero?
8/12, 5/8, 6/10, 2/3
Answer:
8/12
2/3
Step-by-step explanation:
If correct plz plz mark as brainliest
thank you
19NBoli
:)
Solve it please
5 + x = 3(x - 7) + 6
Answer:
x=10
Step-by-step explanation:
x+ 5= 3x - 21 +6
x+5 = 3x - 15
20= 2x
All of the following are equivalent except _____.
2%
0.2
1/50
0.02
pls help asap
5x + 2 = 22 plzzzzzz hellpppp
Answer:
x=4
Step-by-step explanation:
subtract 2 from both sides---
5x + 2 - 2 = 22 - 2
simplify ---
5x=20
Divide both sides by 5 -----
5x/5 = 20/5
simplify -----
x-4
hope this helps :)
An equilateral triangle has a perimeter of 42. What is it's height?
Answer:
Given that: The perimeter of the equilateral triangle is 42 inches. Side of the triangle=Perimeter/3=42/3=14 inches. The height of the triangle is 12 inches
Step-by-step explanation:
12 inches hope it helps
Can someone please help me. WILL MARK YOU BRAINLIEST!!
Answer:
A. y > -3 All real numbers greater than -3
Step-by-step explanation:
please help! solve for x!
Answer:
x = 9
-1 + 14x = 12x + 17
Answer:
x = 9
Step-by-step explanation:
-1 + 14x = 12x + 17
Rearrange terms.
14x - 1 = 12x + 17
Add 1 to both sides of the equation.
14x - 1 + 1 = 12x + 17 + 1
Simplify.
14x = 12x + 17 + 1
14x = + 12x + 18
Subtract 12x from both sides of the equation.
14x - 12x = + 12x - 12x + 18
Simplify.
2x = + 12x - 12x + 18
2x = 18
18 ÷ 2 = 9
x = 9
Mr. Phan fills a portion of his pool with water on Monday. Then on Tuesday, he fills the pool with water coming from a hose at a constant rate. The table shows the number of feet of water in the pool as a function of time on Tuesday. What is the rate of change of the function? Explain your reasoning. Time on Tues. Amount of Water after 9 am (hr) in Pool (ft) 0 11 1 17 2 23 Rate of Change 1 2 3 4 5 6 N
Answer: .6 ft. every hour
Step-by-step explanation: when you add the amount of feet added each hour you get .6 ft.
Is it a function or not a function?
Answer:
not a function
Step-by-step explanation:
To the nearest square unit what is the area of the regular octagon shown below 26.6
the answer is
2341 square units
Answer:
B, the answer to your question is 2341 square units
Step-by-step explanation:
26.6*(22*8)= 176*4861.6
4861.6/2 is = to 2341 your answer
I need help! 50 points + brainliest
1 - Find the values of x for which the combined function h(x) = f(x)/g(x) is undefined if f(x) = 5x + 1 and g(x) = x^2 - 9.
x = ±3
x = 3
x = -3
x = ±9
2 - Find the function h(x) = f(x) - g(x) if f(x) = 3^x and g(x) = 3^2x - 3^x.
h( x) = 0
h( x) = -3 ^2x
h( x) = 3 ^x(2 - 3 ^x)
h( x) = 2(3 ^2x)
Answer:
Part 1)
A
Part 2)
C
Step-by-step explanation:
1)
We are given:
[tex]f(x)=5x+1\text{ and } g(x)=x^2-9[/tex]
And that:
[tex]h(x)=f(x)/g(x)[/tex]
And we want to now for which values of x is h(x) undefined.
So, by substitution:
[tex]\displaystyle h(x)=\frac{5x+1}{x^2-9}[/tex]
Remember that for rational functions, the function will be undefined if and only if the denominator is 0.
This is because we cannot divide by 0.
So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:
[tex]x^2-9=0[/tex]
Add 9 to both sides:
[tex]x^2=9[/tex]
Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:
[tex]x=\pm 3[/tex]
So, h(x) is undefined for ±3.
Our answer is A.
2)
We are given:
[tex]f(x)=3^x\text{ and } g(x)=3^{2x}-3^x[/tex]
And we want to find:
[tex]h(x)\text{ if } h(x)=f(x)-g(x)[/tex]
So:
[tex]h(x)=3^x-(3^{2x}-3^x)[/tex]
Distribute:
[tex]h(x)=3^x-3^{2x}+3^x[/tex]
Combine like terms:
[tex]h(x)=2(3^x)-3^{2x}[/tex]
Rewrite:
[tex]h(x)=2(3^x)-(3^x)(3^x)[/tex]
Factor out:
[tex]h(x)=3^x(2-3^x)[/tex]
So, our answer is C.
CAN SOMEONE HELP ME PLEASE? ILL PAY IF ITS RIGHT