Is the system of equations consistent and independent,
consistent and dependent, or inconsistent?
y= -1/2x +3
y= 4x + 2
Select the correct answer from the drop-down menu.
Choose
Answers
Answer:
Consistent and independent
Step-by-step explanation:
If two lines intersect, then the following things are true.
1. they have different slopes.
2. one solution.
3. The system of equation is consistent and independent
Related Questions
Find the equation of the line that passes through (-3,1) and is parallel to y = 1 − 2 x . Leave your answer in the form y = m x + c
Answers
Answer:
y = - 3x + 7
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 )
Given
3x + y - 1 = 0 ( subtract 3x - 1 from both sides )
y = - 3x + 1 ← in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus
y = - 3x + c ← is the partial equation
To find c substitute (1, 4) into the partial equation
4 = - 3 + c ⇒ c = 4 + 3 = 7
y = - 3x + 7 ← equation of line in form y = mx + c
Use the information in the table to solve Exercises 4-6.
Morgan's favorite spaghetti sauce is available in two sizes: pint
Each size and its price are shown in the table.
Size
Quantity (oz)
Price (5)
pint
16
3.98
quart
32
5.98
Answers
Answer:
Step-by-step explanation:
seventeen cus it is :)
IVE BEEN STUCK ON THIS FOR ABOUT 3 HOURS
The distance your friend travels in y (miles) running x hours is represented by the equation
y = 7.5x.
a. Graph the equation and interpret the slope
b. how many minutes does it take for your friend to run one mile
Answers
b. 1 = 7.5x
x = 1.33333…
This is hours so we must multiply this by 60
x = 8 min
the sum of 9 and a number
Answers
Answer:
E+ 9
Step-by-step explanation:
Let E represent a number.
The sum of nine and the number is then E+9 as "sum" denotes addition.
Therefore the representation would be E+9
2 2/3 + 3/4 Estimate the Sum or difference
Answers
8/3x3/4=24/12
24/12=2
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation
(-9,- 4); y = - 3x + 5
Write an equation for the line in slope-intercept form
(Simplify your answer. Use integers or fractions for any numbers in the equation)
Answers
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope. a parallel line must have the same slope.
in our case here it is -3.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b :
-4 = -3×-9 + b = 36 + b
b = -40
so, the full equation of the parallel line is
y = -3x - 40
The temperature of a mixture changes by −5.2°F between 8 a.m. and 11 a.m. At 6 p.m., the temperature is 14.5°F, which is half what it was at 11 a.m.
What was the temperature at 8 a.m. of the mixture?
Enter your answer as a decimal in the box.
Answers
Answer:
34.2
Step-by-step explanation:
Answer:
K12 Answer
Step-by-step explanation:
Find the area of the figure below.
Please help me with this I don’t understand it!
Answers
Answer:
ans :240 cm²
Step-by-step explanation:
see the pic
....ik its messy but hope u understand
and I hope the ans is correct
A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?
Answers
b)
Here is another number machine.
Input
Output
х
4x + 5
Answers
Answer:
collect like terms x=5-4=1
A shipping box is shaped like a rectangular prism. The box is 1 1/5 feet wide, 3 feet long, and 4 1/2 feet tall. What is the volume of the shipping box
Answers
Answer:
4.95
Step-by-step explanation:
The volume of the rectangular prism is 16.2 ft³.
What is volume?The volume of any object defined the capacity of it, how much it can hold something is called its volume.
Given is rectangular prism, we need to find the volume of the same,
So, we know that the volume of a rectangular prism is the product of its dimensions.
V = length × width × height.
[tex]V = 1\frac{1}{5} \times 4\frac{1}{2} \times 3[/tex]
[tex]V = \frac{6}{5} \times \frac{9}{2} \times 3[/tex]
V = 162/10
V = 16.2
Hence, the volume of the rectangular prism is 16.2 ft³.
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12 lbs of
potatoes
for $15.00
OR
8 lbs of
potatoes
for $9.20
Answers
Answer:
12 lbs for $15
Step-by-Step Solution:
12 / $15 = $0.80
8 / $9.20 = $0.87
[tex]\sf 78-2x=87-3x[/tex]
Answers
Answer:
x = 9
Step-by-step explanation:
78 - 2x = 87 - 3x
3x - 2x = 87 - 78
x = 9
x = 9
Step-by-step explanation:
=> 78-2x= 87 -3x
=> 78-87=-3x+2x
=> -9 = -x
=> x = 9
Convert 55.1% to a fraction in simplest form and a decimal.
Answers
Answer:
551/10 0.551
Step-by-step explanation:
Answer:
Fraction = 551/1000
Decimal = 0.551
Step-by-step explanation:
55.1% to fraction = 55.1/100 or 551/1000
55.1% to decimal = 0.551
-Chetan K
10x is greater than or equal to 120 cm^2
Answers
Answer:
x greater than or equal to 12cm^2
Step-by-step explanation:
Ana is a teacher who plays a review game with her class. The game involves writing each student's name on
an identical slip of paper and selecting students at random. Here's the makeup of her class:
Grade
9th 10th 11th
Number of students
12. 9. 7.
Suppose that Ana picks a name, replaces it, and picks a name again.
What is the probability that NEITHER of the students selected are
9th graders?
Round your answer to two decimal places.
Answers
Answer:
P(Neither 9th grade)=16/28*16/28=16/28*16/28=(16/28)^2=256/784≈0.3265
Answer:
The probability that neither of the students selected are 9th graders is about 0.33.
Step-by-step explanation:
Pls give brainliest
Probabilities are used to determine the chances of events
The probability that neither of the students is a 9th grader is 0.33
From the table, the number of students that are not 9th graders are:
[tex]N9 =9 + 7[/tex]
[tex]N9 =16[/tex]
The total number of students is:
[tex]Total =12 + 9 + 7[/tex]
[tex]Total =28[/tex]
The probability that neither of the students is a 9th grader is calculated as follows
[tex]P =P(N9) \times P(N9)[/tex]
So, we have:
[tex]P =\frac{16}{28} \times \frac{16}{28}[/tex]
Multiply
[tex]P =\frac{256}{784}[/tex]
Divide and approximate
[tex]P =0.33[/tex]
Hence, the probability that neither of the students is a 9th grader is 0.33
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NEED ASAP PLEASE SHOW WORK! Follow the directions and solve this sequence for the first 10 terms:-3,-12,-48,-192
A.
CR: 4
10th term: -262,144
B.
CR:-4
10th term: 786,432
C.
CR:4
10th term: - 786,4323
Answers
Answer: B (786,432)
Geometric sequence follows by multiplying by 4.
-3
-12
-48
-192
-768
-3072
-12288
-49152
-196,608
-786,432
Paula wants to divide 480 tomatoes
equally among 80 baskets. How many
tomatoes will Paula put in each basket?
Answers
Answer:
6 tomatoes
Step-by-step explanation:
480/80=6
Answer:
6 tomatoes
Step-by-step explanation:
480 ÷ 80
=> 6 tomatoes
Hoped this helped.
Select the values that make the inequality h < 1 true.
(Numbers written in order from least to greatest going across.)
Answers
Find the value of x
A. 56° B. 66° C. 809 D. 130°
Answers
Answer:
B.66
hope this helps you!!
PLEASE HELP ME OUT!!!
Convert the following
0.005kg = ______ dag
0.075 m = ______ cm
15g = _______mg
Answers
Answer:
0.005*1000dag
5dag
0.075*100cm
7.5cm
help asap help asap for a brainlist
Answers
Answer:
x=4
Step-by-step explanation:
Step 2 and 3 are incorrect,
4x+8 = 24
24-8 = 16
it should then be 4x=16
you then divide by 4 on each side
x=4
Which inequality is best represented by the following number line?
Answers
Answer:
A
Step-by-step explanation:
Answer:
solve:
-3x+10<dividing22
-3x< 12
by a negativie flips sign
x>4
So A is correct because the because its an open circle on number line
Question 5(Multiple Choice Worth 1 points)
(04.02 MC)
City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than three times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. The following system of equations models this scenario:
4x = 8 + 3y
x − 2y = −3
What was the temperature of City A and City B on that day?
City A was 5° C, and City B was 4° C.
City A was 3° C, and City B was −1° C.
City A was 8° C, and City B was −3° C.
City A was 5° C, and City B was −5° C.
Answers
Answer:
City A was 5c, and city B was 4c so it’s the first one
Step-by-step explanation:
I just took the test and I got it right
Answer:
City A was 5c, and city B was 4c
Step-by-step explanation:
If a triangle has a base of 6 feet and a height of 5 feet, what is the area?
Answers
Answer:
15 square feet
Step-by-step explanation:
a = (1/2)bh
a = (1/2) * 6 * 5
a = 3 * 5
a = 15
15 square feet
Why are negative exponents not positive.
Answers
Mark has $360 in his savings account and Trevor has $510 in his savings account. The interest rate is 3%. How
much will each person have in their savings account at the end of 5 years? Show your work.
Answers
Answer:
Mark: 54
Trevor: 765
Step-by-step explanation:
For each, you multiply the amount, time period, and the percentage.
(make sure to turn the percentage to a decimal)
I’m so sorry If my answer is wrong
PLSS HELP ASAP ILL GIVE BRAINLIEST PLS THANKS
Answers
A dog has a litter of three male pups and
five female pups. What percent of the pups
in the litter are male?
Answers
Answer:
3 is 37.5% of 8 so the answer is about 37%
Step-by-step explanation:
Answer:
37.5%
Step-by-step explanation:
Three male and five female.
So, we need to find out the mall.
We can divide this out of 8.
3/8 and 5/8.
Male - 37.5%
Female - 62.5%
Jason was a recent graduate from a university program with a Bachelor of Science in Medical Technology. He will begin a position at the local hospital working 40 hours a week with an hourly rate of $25.50. He will receive a paycheck every two weeks. In a document, calculate the following. Be sure to show your mathematical calculations.
Gross Pay for 1 paycheck
Deductions for federal tax, state tax, and city tax
Deduction for F.I.C.A. or social security tax
Deduction of $117 for medical and dental insurance.
What would Jason’s net monthly income and net annual salary be after taxes and insurance?
Answers
Answer:
Gross Pay for 1 paycheck
Deductions for federal tax, state tax, and city tax hope it helps :)
Step-by-step explanation:
The net monthly income of Jason is $194.68 and the net annual salary is 23324.16.
What is gross pay?Gross pay of an employee is basically sum of his basic pay, dearness allowance, any other allowance only. Public providend fund, income tax are not deducted from it.
How to find net pay?1) Gross paycheck=2*40*25.5=$2040.
2) Federal tax=2040*21%=$428.4
3) State tax=25=$25
4) City tax=2040*12%=$244.8.
5) Deductions=2040*12.45=$252.96.
6) Net monthly income=2*(Gross pay-federal tax-state tax-city tax-deductions-deductions for F.IC.A. or social security tax)
=2*[2040-428.4-25-244.8-252.96-117]
=1943.68
7) Net annual salary=12* net monthly income.
=1943.68*12 ( 1year= 12 months)
=$23324.16
Hence the net monthly income of Jason is $194.68 and the net annual salary is 23324.16.
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