Answer:
y = -2x + 1
Step-by-step explanation:
-2 is the slope and 1 is the y intercept :)
How would you solve this problem: X + 3 = -x - 5
Answer:
Step-by-step explanation:
x + 3 = -x - 5
2x + 3 = -5
2x = -8
x = -4
Answer: x=-4
Step-by-step explanation: first add x from both sides to turn it into 2x+3=-5. then subtract 3 from both sides for it to turn to 2x=-8. finally divide both sides by to to find x=-4
Find the coordinates
of A' given a dilation
of 2
A(3,-6), B(0,9), C(2,-1)
are 49 35 32 41 47 composite
Answer:
32 is composite and the rest are not. Hope this helps!
Step-by-step explanation:
Simplify for a = 3, b= -4 and c=-1.
16a - 3c + 5b =
Answer:
31
Step-by-step explanation:
16(3)-3(-1)+5(-4)
48+3-20
51-21
31
Need help now please. what is 1/2 to the power of 5
Answer: 1/2 power of 5 aight
1/2+1/2+1/2+1/2+1/2= 2 1/2
Step-by-step explanation:
1/2⁵ = 1/2 × 1/2 × 1/2 × 1/2 × 1/2 × 1/2
1/2⁵ = 1/64
On a bicycle, Adriana rides for 2 hours and is 22 miles from her house. After riding for 7 hours, she is 72 miles away. What is Adriana's rate?
Step-by-step explanation:
Notice it is not asking for an average rate, just her current rate. Approach this like this: say she is at the 29 mile "marker." In 3 hours, she gets to the 38th mile "marker." Therefore:
38-29 = 9, so in 3 hours, she went 9 miles.
9 miles/3 hours = 3 miles per hour, which would be equal to her current rate.
Grace read 9 books in 3 months what was her rate of reading Books per month
Answer:
3 books per month
Step-by-step explanation:
9 books ÷ 3 months = 3 books per month :)
PLEASE HELP!!! i’ve been stuck on this for so long!!!
Determine the number of terms in the geometric series 2+8+32+...+2048
Answer:
6 terms
Step-by-step explanation:
we have
[tex]2+8+32+..+2048[/tex]
we need to identify a pattern so
from 2 to 8 what could have happened?
well you could have added 6 and get 8
so that means that to 8 you have to add 6 and get 32
WRONG
so adding is not an option
what else could have happened?
well you could have multiplied by 4 and get 8
so that means that to 8 you have to multiply by 4 and get 32
which is true
so the geometric series is
[tex]2+4(2)+4(4(2))+4(4(4(2)))+...+[/tex] what?
you can see that in the 2nd term we have 1 four, in the 3rd we have 2 fours
so we can conclude in the nth term we have n-1 fours
so the formula is
[tex]2+8+32+...+4^{n-1} *2[/tex]
so we need to determine when
[tex]4^{n-1}*2=2048[/tex]
[tex]4^{n-1}*2*\frac{1}{2} =2048*\frac{1}{2} \\\\4^{n-1}=1024[/tex]
if we factorize 4 as [tex]2^2[/tex] and 1024 as [tex]2^{10}[/tex]
we have
[tex](2^2)^{n-1}=2^{10}\\\\2^{2(n-1)}=2^{10}\\\\2^{2n-2}=2^{10}[/tex]
so we see that the bases are equal, that must mean the exponents are equal
[tex]2n-2=10\\\\2n=10+2\\\\2n=12\\\\n=6[/tex]
so there are 6 terms
Review the graph of function h(x). Which point is on the graph of the inverse function h–1(x)?
A. (2, 4)
B. (0, one-half)
C. (0, 1)
D. (–5, 1)
Answer:
C
Step-by-step explanation:
Point (0, 1) is on the graph of the inverse function h⁻¹(x).
What is an Inverse Function?If f(x) is an original function with output y, then we can get inverse of the original function by putting y in the inverse function to obtain x.The domain of original function becomes the range of its inverse function and the range of the original function becomes the domain of its inverse function.Given: The graph of function y = h(x).
According to the graph, the function is a straight line:
y-intercept is (c) = 2
Consider two points on the graph, y = h(x).
Let (x₁, y₁) = (0, 2) and (x₂, y₂) = (2, -2).
Now, the slope (m) of the function will be calculated as:
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (-2 - 2) / (2 - 0)
⇒ m = -2
Now, with c = 2 and m = -2 the equation of a given line will be calculated as:
The general equation of line is:
⇒ y = mx + c
⇒ y = -2x + 2
∴ y = h(x) = -2x + 2 is the given equation of line.
Now to find the h⁻¹(x), we have to interchange the values of x and y from the function h(x) and then obtain the relation for the general equation of line.
h⁻¹(x) will be calculated as:
⇒ x = -2y + 2
⇒ x - 2 = -2y
⇒ y = (2 - x)/2
∴ y = h⁻¹(x) = (2 - x)/2
Now, we will find which point is on the graph of h⁻¹(x).
Option (A): (2, 4)
put, x = 2 in the equation y = (2 - x)/2
⇒ y = 0
⇒ (2, 0) ≠ (2, 4)
∴ (2, 4) is not the point on h⁻¹(x).
Option (B): (0, 1/2)
put x = 0 in the equation y = (2 - x)/2
⇒ y = 1
⇒ (0, 1) ≠ (0, 1/2)
∴ (0, 1/2) is not the point on h⁻¹(x).
Option (C): (0, 1)
put x = 0 in the equation y = (2 - x)/2
⇒ y = 1
⇒ (0, 1) = (0, 1)
∴ (0, 1) is the point on h⁻¹(x).
Option (D): (–5, 1)
put x = -5 in the equation y = (2 - x)/2
⇒ y = 3.5
⇒ (-5, 3.5) ≠ (–5, 1)
∴ (–5, 1) is not the point on h⁻¹(x).
Therefore, the point on the graph of the inverse function of h⁻¹(x) is (0, 1).
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PLS HELP! THIS IS DUE IN 30 MINUTES!! I'LL GIVE BRAINLIEST AND 60 POINTS IN TOTAL IF U GET BRAINLIEST.
Answer:
Perimeter: 14a+2b
Tickets:7x+6
Step-by-step explanation:
Perimeter: Add all the functions together
Tickets: Subtract 15x+1 by 8x-5.
Use the expression you wrote to predict the number of dreams that include people you know out of 28
Answer:
the number of dreams that include people you know out of 28 is 21
Step-by-step explanation:
Here is the complete question:
It is believed that about [tex]\frac{3}{4}[/tex] of our dreams involve people that we know.
So the expression to describe the number of dreams that feature people you know if you have "d" dreams is:
[tex]\frac{3}{4} d[/tex]
Now using the above expression we can predict number of dreams that include people you know out of 28. Here 28 represents number of dreams i.e. "d". So expression becomes:
[tex]\frac{3}{4} (28)[/tex]
Now simplify the above expression:
[tex]\frac{3}{4} (28)[/tex] = [tex]\frac{3*28}{4}[/tex] = [tex]\frac{84}{4}[/tex] = [tex]21[/tex]
Hence the number of dreams that include people you know out of 28 is 21
∠A and \angle B∠B are vertical angles. If m\angle A=(8x-4)^{\circ}∠A=(8x−4) ∘ and m\angle B=(7x+3)^{\circ}∠B=(7x+3) ∘ , then find the measure of \angle B∠B.
Answer:
∠B = 52°.
Step-by-step explanation:
Given: m∠A=(8x-4)° and m∠B=(7x+3)°. ∠A and ∠B are vertical angles.
Since ∠A and ∠B are vertical angles. So, there measure are equal.
[tex]m\angle A=m\angle B[/tex]
[tex](8x-4)^{\circ}=(7x+3)^{\circ}[/tex]
[tex]8x-4=7x+3[/tex]
[tex]8x-7x=4+3[/tex]
[tex]x=7[/tex]
Now,
[tex]m\angle B=(7(7)+3)^{\circ}[/tex]
[tex]m\angle B=(49+3)^{\circ}[/tex]
[tex]m\angle B=52^{\circ}[/tex]
Therefore, the measure of ∠B is 52°.
Please I need help !!
Before a chemist can combine a solution with other liquids in a laboratory, the temperature of the solution must be between 39⁰ C and 52⁰C. The chemist places the solution in a warmer that raises the temperature 6.5⁰C per hour. If the temperature is originally 0⁰C, how long will it take to raise the temperature to the necessary range values
Answer: 6 hours
Step-by-step explanation:
6.5x = 39
6=x
help?? Thank u if you do help btw!
Answer:
10,000lbs
Step-by-step explanation:
There are 2000lbs in 1 ton
So
5 x 2000 = 10000lbs
Answer:
10,000 pounds is the the correct answer
List all the sets that the number -6 belongs to.
Answer:
Integers
Step-by-step explanation:
how do you round the decimal 99.87?
Answer:
examine the next digit and increase the number accordingly, before dropping the digits of no interest.
Step-by-step explanation:
You round any number by looking at the digit in the place to the right of the one you want to round to. If it is 5 or more, you add 1 to the number in the place you're rounding to, and drop (or zero) all digits to the right of that.
If you want to round this to tenths, you observe that the hundredths digit is 7, which is more than 4. So you add 1 tenth and drop the hundredths digit:
99.87 ≈ 99.9 . . . . rounded to tenths
If you want to round this to units, you observe that the tenths digit is 8, which is more than 4. So you add 1 unit and drop the tenths and hundredths digits.
99.86 ≈ 100 . . . . . rounded to nearest integer
Write the integer that represents the situation.
Hilda spent $65 and now has no money left. She had
before her purchase.
Answer:
what im thinking is $65
Step-by-step explanation:
3x + 1/2y = 3 and 6x - y = 2 (use elimination with multiplication to solve)
Answer:
i prefer substitution methon for this one
i really prefer try using thatfind the distance between the two points (-4,6) and (3,-7)
Answer:
[tex]( - 4.6) + (3. - 7) = 0.6[/tex]
By the distance formula,
[tex]d = \sqrt{( x_2 - x_1) {}^{2} + (y_2 - y_1 {)}^{2} }[/tex]
Here,
[tex]x_1 = -4[/tex]
[tex]y_1 = 6[/tex]
[tex]x_2 = -7[/tex]
[tex]y_2 = 3[/tex]
Hence,
[tex]d = \sqrt{( {(-7 )+(- 4))}^{2} + {( 3 + 6)}^{2} } [/tex]
[tex]d = \sqrt{ {(-11)}^{2} + {9}^{2} } [/tex]
[tex]d = \sqrt{121+ 81} [/tex]
[tex]d = \sqrt{202} [/tex]
Which of these is an action by a person who chooses immediate spending over
saving?
Taking the bus
Opening a savings account
Financing a brand-new car
O Setting 10 percent of each paycheck aside
Answer:
C. Financing a brand new Car
Step-by-step explanation:
Financing a brand new car means that someone takes out a car loan that has to be paid over time, and that is something a spender would do because they are not saving money
Pleaseee help !!
If the temperature is predicted to be -1°F, but could be 10 degrees colder, what is the least
possible temperature?
А
-11°F
B
-6°F
с
-1°F
D
9°F
Answer:
-11°F
Step-by-step explanation:
when it is cold temperatures lower
-1°F-10°F= -11°F
Which of the following lines is parallel to x = 7? (2 points)
a. 3y = 7
b. y = 7
c. X = y
d. X = 4
what is the vertical line test and how is it used
Answer:
The vertical line test is used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.
12(a−4) simplified I am confused with this question
Answer:
-48
Step-by-step explanation:
Use the distributive property to simplify the expression
3(9x -5)
**ANYONE WHO ANSWERS WILL GET BRAINLIEST ANSWER!!!!!**
Answer:
[tex]27x - 15[/tex]
Step-by-step explanation:
When we apply the distributive property, we multiply all the terms inside the parentheses by the term directly outside of it.
So:
[tex]9x \cdot 3 = 27x[/tex]
[tex]-5 \cdot 3 = -15[/tex]
Putting these together, we get [tex]27x-15[/tex].
Hope this helped!
What is the missing steph in solving the inequality 5 - 8x < 2x + 3
Answer:
x > 1/5
Step-by-step explanation:
5 - 8x < 2x + 3
-8x < 2x -2
-8x -2x < -2
-10x < -2
x > 1/5
Last year, Mrs. Sclair's annual salary was $88,441. This year she
received a raise and now earns $96,402 annually. She is paid weekly.
a. What was her weekly salary last year?
b. What is Mrs. Sclair's weekly salary this year?
c. On a weekly basis, how much more does Mrs. Sclair earn as a result
of her raise?
Answer:
A. she made $1,694.92 weekly last year
B.she makes $1,847.49 weekly this year
C. she makes $152.57 more weekly this year than ast year.
Step-by-step explanation:
a ) Her weekly salary last year is $1842
b ) Mrs Sinclair's weekly salary this year is $2008.375
c ) On a weekly basis, Mrs Sclair's earn as a result of her raise is $158.37
What is the salary?The amount of money paid by any company to their employees on a weekly or monthly basis is called a salary.
Given that:
Last year, Mrs Sclair's annual salary was $88,441. This year sheReceived a raise and now earn $96,402 annually.a ) Her weekly salary last year is $1842
Annual salary = $88441
Weekly salary = 88441 / 48 = $1842
b ) Mrs Sinclair's weekly salary this year is $2008.375
Annual salary = $ 96,402
Weekly salary = 96,402 / 48 = $2008.137
c ) On a weekly basis, Mrs Sclair's earn as a result of her raise is $158.37
= 2008.137 - 1842
= $158.37
Therefore Her weekly salary last year is $1842, Mrs Sinclair's weekly salary this year is $2008.375, On a weekly basis, Mrs Sclair's earn as a result of her raise is $158.37
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If 20% of a number is 720 what is the 50% of that same number
Answer:
1,800
Step-by-step explanation:
Simplify this algebraic expression.
z-4/4+8
Answer:
z+7
Step-by-step explanation:
use PEMDAS!
1. divide 4/4, which is 1. (z-1+8)
2. combine like terms! -1 and 8 are like terms, so add them together. (z+7)
3. after that, you have the answer!! z+7!!