Answer:
298000:100
x : 103
cross multiply: 100x=298000 x 103
x=306,940 or 307,000
Step-by-step explanation:
What is the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1)?
A. O y=-3x+
B. O y = 2x - 3
CO y = 2x
DO y = 2x + 3
Answer:
The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:
[tex]y=2x+3[/tex]
Hence, option D is true.
Step-by-step explanation:
We know that linear function can be represented using the slope-intercept formula
y = mx+b
where m is the slope and b is the y-intercept
Given the equation
y = 2x - 1
comparing with the slope-intercept form y = mx+b
Hence, the slope of the line y = 2x - 1 is: m = 2
We know that the parallel lines have the same slopes.
Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values of the slope = 2 and the point (-1, 1)
[tex]y-1=2\left(x-\left(-1\right)\right)[/tex]
[tex]y-1=2\left(x+1\right)[/tex]
Add 1 to both sides
[tex]y-1+1=2\left(x+1\right)+1[/tex]
Simplify
[tex]y=2x+3[/tex]
Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:
[tex]y=2x+3[/tex]
Hence, option D is true.
Line 1: 4x-6y= -6 Line 2: -3y=2x+5 Line 3: y= -3/2x-5 Are line 1 and 2: parallel, perpendicular, or neither? Are line 1 and 3: parallel, perpendicular, or neither? Are line 2 and 3: parallel, perpendicular, or neither?
Answer:
Line 1 and line 2 are neither parallel nor perpendicular
Line 1 and 3 are perpendicular to each other
Line 2 and line 3 are neither parallel nor perpendicular
Step-by-step explanation
Given the equations of the line
Line 1: 4x-6y= -6
Line 2: -3y=2x+5
Line 3: y= -3/2x-5
Before we can know which line is parallel or perpendicular to each other, we need to find their slope first
For line 1:
4x-6y= -6
Write in standard form y = mx+c
-6y = -4x - 6
Divide through by -6
-6y/-6 = -4x/-6 - 6/-6
y = 2/3 x + 1
The slope of line 1 is 2/3
For line 2:
-3y=2x+5
Divide through by -3
-3y/-3 =2x/-3 + 5/-3
y = -2/3 x - 5/3
The slope of this line is -2/3
For line 3:
y= -3/2x-5
this is already written in standard format. The slope of this line is -3/2
Note that for two lines to be parallel, they must have the same slope
For two lines to be perpendicular, the product of their slope must be -1
For line 1 and line2, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular
For line 1 and line 3, we can see that their slope are not the same but the product of their slope is -1 (2/3 * -3/2 = -1), hence both lines are perpendicular.
For line 2 and line 3, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular
12x+9y=-36 4x+3y=-12 graphed
Answer:
graph attached
Step-by-step explanation:
12x+9y=-36
(12x+9y)/3=-36/3
4x+3y=-12
2 functions has the same value, they are identical line
A customer bought 8.5 pounds of apples from a local produce market. If 1 pound = 16 ounces, how many ounces of apples did
the customer buy?
112 ounces
112 ounces
128 ounces
128 ounces
120 ounces
120 ounces
136 ounces
136 ounces
Answer:
136 ounces
Step-by-step explanation:
8.5*16=136
So 136 ounces
Solve. y −3 = 1 6 y =
Step-by-step explanation:
y - 3 = 16y original problem
y - 3 - y = 16y - y grouping variables
-3 = 15y Simplification
-3÷15 = 15y÷15 Isolating the variable
-1/5 = y the answer
I hope this helps!!!!!!
Which expression doe
11/15-1/6
Answer:
Exact Form:
17/30
Decimal Form:
0.56
Step-by-step explanation:
Answer:
0.56 i think
Step-by-step explanation:
6x-8y-x+3y please this is hard
6x-8y-x+3y
= (6x-x)+(-8y+3y)
= 5x+(-5y)
=5x-5y
Answer:
5x-5y
Step-by-step explanation:
Equation;
6x-8y-x+3y(Group like terms)
Which is going to be;
6x-x-8y+3y
Then you proceed to simplify;
5x-5y
This is the final answer
please help me on this.
Answer:
here
Step-by-step explanation:
so most of the time it would land on brown only 5% of the time would it land on red and the other there is a 0% chance
A method for solving 5(x - 2) = 10 is shown below. Which step shows
distributive property?
A. 5x+2=10
B.5x-2=10
C.5x+10=10
D.5x-10=10
Answer:
D
Step-by-step explanation:
what information is necessary to prove two triangles are similar by SAS similarity thereom?
Answer:
two sides and an angle of the triangle should be equal
Convert 40.64 centimeters to inches.
1 Inch = 2.54 centimeters
PLS HELP!!!
pls help i’m not good at this lol
Answer:
You selected the right one, 12^5 :)
What is the measure of XYZ?
Please help me solve this and please also show work so I can understand it BETTER PLEASEEE ITS DUE
Answer:
6. 8b²-5b-4
7. -3x²+9x-4
8. 3
9. 6a+15
Step-by-step explanation:
you will subtract/add the numbers with the same variables and exponent.
ex. (number 6) 7b²+ b²= 8b²
5b= 5b 8b²+5b-4
1-5= -4
(plus 5b because it didnt come out to a negative) if you have any questions, say in the comments and ill try my best to help
What is the slope of the line?
Answer:
y= -x-2
Step-by-step explanation:
At a fundraiser, a school group charges $6 for tickets for a "grab bag." You choose one bill at random from a bag that contains 39 $1 bills, 19 $5 bills, 3 $10 bills, 7 $20 bills, and 3 $100 bills. Is it likely that you will win enough to pay for your ticket?
Answer:
no, the probability is only about 18%
Step-by-step explanation:
there are total of 71 bills of varying denominations in the bag
you need to select a bill that is $10 or more to cover your $6 expense; therefore, P($ ≥ 10) = 3 + 7 + 3 / 71 or 13 /71, about 18%
Triangle A C D is shown. A line is drawn from point D to point B on side A C to form a right angle. Line A D is labeled s. The length of A B is 8, the length of B C is 5, and the length of B D is 15.
What is the value of s
Answer:
17 units
Step-by-step explanation:
just took the quiz
Answer:
17 units.
Step-by-step explanation:
Hope it helps!!!
Which statements are true? Select all that apply.
A. m∠WZX = 34°
B. m∠WXY = 123°
C. m∠XYZ = 46°
D. m∠WPZ = 90°
Answer:
C. and D.
Step-by-step explanation:
C.) Angle sum property, as XY = ZY
Mariah drank 2/3 cup of orange juice. A serving size of is 5/6 cup. What part of a serving did she drink?
Answer:
80% of a serving
Step-by-step explanation:
First, convert 2/3 into 6ths
2/3 = 4/6
She drank 4 of 5 6ths
This is 80% of a serving
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 10 ÷ 5 and 5 ÷ 10
Answer:
no, its not equivalent
Step-by-step explanation:
10/5= 2
5/10=0.5
Evaluate the expression if p = 1,1=-7, and s= -2.
-3p-21
6+4s
Plzz hurry!!
Work out the percentage change to 2 decimal places when a price of £8.95 is increased to £10.
Answer:
12% increase
Step-by-step explanation:
Divide the difference between the two prices by the original price:
1.05/8.95
= 0.12
So, the percent change is 12%
On average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes.
Which absolute value equation can be used to calculate Carter's maximum and minimum time to get ready?
Let x represent the maximum and minimum time.
|x−15|=25
|x+15|=25
|x+25|=15
|x−25|=15
Answer:
x-25=15 or D
Step-by-step explanation:
I promise that is the answer
1.8 to 1 decimal place
Step-by-step explanation:
1.8
8 is 1 decimal place
1./8
8 > 5
1 change to 2
2.0
-3p = -48
What does p equal
Answer:
p=16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
[tex] - 3p = - 48 \\ \\ p = \frac{ - 48}{ - 3} \\ \\ p = 16[/tex]
PLEASE HELP!! WILL MARK BRAINLIEST!!!!
Answer:
Choice A (-18.75 or -75/4)
Identifying the Rate of Change
Warm-Up
Which statements are correct? Check all that apply.
The graph shows the linear relationship between the
height of a plant (in centimeters) and the time in
weeks) that the plant has been growing.
The rate of change is 4.
The rate of change is 1.
24
y
20
The rate of change is 4.
16
Height (cm)
The plant grows 4 cm in 1 week.
o me plant grows 1 cm in 4 weeks.
12
Time (weeks)
Answer:
Data collected shows that the more you water, the larger your plant will grow. If you use the following Equation, y = 1/2x + 2 How tall will a plant be at 25 weeks if x is the number of weeks watered and y represents the height of the plant? Show your work.
Step-by-step explanation:
‼️‼️‼️ please help fast ‼️‼️‼️
Answer:
d
Step-by-step explanation:
Answer:
Step-by-step explanation:
i believe the answer is either A or D
The function V(x)=650(0.77)^x models the change in yearly value for Anya's cellphone. What was the original value of the cellphone? Does the function represent exponential growth or exponential decay?
Answer: ↓↓
Step-by-step explanation:
The original value of the cellphone is $650. The function represents an exponential decay because if it was exponential growth, the function would look like this:
[tex]V (x) = 650 (1.77)^{x}[/tex]
given f(x) = -3x - 1, solve for f(x)= -4
Answer:
its 11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
x= -4
f(x)= -4
f(-4)= -3(-4) -1
=11