The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The equation 2x + 2y = 16 in slope-intercept form is
y = -x + 8.
Where slope = -1 and y-intercept is 8
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
We have the equation as,
2x + 2y = 16
We need to convert in the form of y = mx + c.
Subtract 2x on both sides.
2y = -2x + 16
Divide both sides by 2.
y = (-2x + 16) / 2
y = -x + 8
This is in the form of slope-intercept form.
Where slope = -1 and y-intercept is 8
Thus,
The equation 2x + 2y = 16 in slope-intercept form is
y = -x + 8.
Where slope = -1 and y-intercept is 8
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Help asap??!!?!?!.....................................!
Which answer describes the type of sequence?
3, 4, 5, 6, ...
geometric
neither arithmetic nor geometric
arithmetic
Answer:
arithmetic
Step-by-step explanation:
an arithmetic sequence is when you add or minus the same number
Answer:
the answer to this question is that the sequence is arithmetic sequence
Step-by-step explanation:
because the difference between the consecutive terms is consecutive terms is constant that sequence is arithmetic sequence. And is the sequence the numbers are increasing with +1 increment.
show all work please
[tex] \frac{7r}{2} \div \frac{ {14r}^{2} }{3} [/tex]
Answer:
3 / 4r
Step-by-step explanation:
Simplify : 7r/ 2 ÷ 14r²/3
7r/ 2 ÷ 14r²/3
Changing the ÷ sign to multiplication :
Multiply 7r/2 by the reciprocal of the denominator :
7r/ 2 * 3/14r²
((7 * r) / 2) * (3) / 14 * r * r
= 3 / 4r
For clarity, kindly check attached picture for detailed simplification.
5 less than a number x is 3 times the sum of a number x and 2? (i need a word problem not the answer)
Answer:
Yesterday I squeezed 2 kilos of apples in a barrel.
Today I have picked 5 extra kilos of apples and save them in a basket.
By the end of the day, I want to squeeze some of them and add to the barrel.
Apple juice from the barrel is valued 3 times the same amount of raw apples.
I want to find how many apples I can squeeze today (x) such that the value of the remaining raw apples is equivalent to the total value of produced apple juice.
Step-by-step explanation:
The equation is 5-x = 3 * (x + 2).
If x is the amount of apple to squeeze (in kilos) then 5-x is the remaining raw apples and x+2 is the total quantity of juice.
Since that juice is valued 3 times the raw apples we obtain the equivalence defined in the equation above.
1. Kristen spent $131 on shirts at Target last week. She bought some fancy shirts for
$28 each and then some plain t-shirts for $15 each. If she bought a total of 7 shirts,
then how many of each type of shirt did she buy?
problem #1
problem #2
Answer:
Kristen bought 2 fancy shirts and 5 plain t-shirts.
Step-by-step explanation:
Given that,
Kristen spent $131 on 7 shirts.
Cost of one fancy shirt = $28
Cost of one plain t-shirt = $15
Let,
x be the number of fancy shirts
y be the number of plain t-shirts
x+y = 7 Eqn 1
28x+15y=131 Eqn 2
Multiplying Eqn 1 by 15
15(x+y=7)
15x+15y=105 Eqn 3
Subtracting Eqn 3 from Eqn 2
(28x+15y)-(15x+15y)=131-105
28x+15y-15x+15y=26
13x=26
Dividing both sides by 13
[tex]\frac{13x}{13}=\frac{26}{13}\\x=2[/tex]
Putting x=2 in Eqn 1
2+y=7
y=7-2
y=5
Hence,
Kristen bought 2 fancy shirts and 5 plain t-shirts.
could you help me quick!?
Answer:
1: 5 2: -70.98 3: C 4:A. 5:A
Step-by-step explanation:
A high school graduating class is made up of 440 students. There are 168 more girls than
boys. How many boys are in the class?
I
Answer:
272
Step-by-step explanation:
calculator
Write the ratio as a fraction in simplest form. 1000 songs : 2 megabytes
.
Answer:
1000:1000000
Or,
1:1000
I NEED HELP ASAP
Compute the correlation coefficient for the data set.
(2,19), (3,22), (4,26), (5,20), (6,35), (7,30), (9,40), (10,42), (11,35)
Can someone help me plz??????
Answer:
0.37 rad m
Step-by-step explanation:
Answer:
14.66 inStep-by-step explanation:
Arc length formula:
s = rθ*2π/360We have:
r = 6 in and θ = 140°Finding the length of arc AB:
s = 6*140*2π/360 = 14.66 inSolve the inequality. 9x − 4 > 95
Answer:Rearrange the equation by subtracting what is to the right of the greater equal sign from both sides of the inequality :
9*x-4-(95)≥0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
9x - 99 = 9 • (x - 11)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by 9
Solve Basic Inequality :
2.2 Add 11 to both sides
x ≥ 11
Inequality Plot :
2.3 Inequality plot for
9.000 X - 99.000 ≥ 0
One solution was found :
x ≥ 11
Step-by-step explanation:
3/4+2/3=
5/7+1/2=
Answer....
Answer:
[tex]1 \frac{5}{12} [/tex]
[tex] 1\frac{3}{14} [/tex]
what value of x makes this equation true 10x-6=3(x+½)
Answer:
x = 15/14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 3x from both sides.
Step 3: Add 6 to both sides.
Step 4: Divide both sides by 7.
what is the answer?
Answer:
f(-3)= -18
Step-by-step explanation:
f(-3) basically means x=-3 so just substitute with that
f(-3)= 2(-3)³+4x²
= -54+36 = -18
What number makes the equation true? Enter the answer in the box.
7x
= 21
Pls help
Answer:
3
Step-by-step explanation:
21/7=3
What is the slope of line a?
THIS IS A TEST AND MY GRADE IS ALR BAD ENOUGH PLS ANSWER CORRECTLY
Answer:
you forgot to put the attachment so we can see the line....
Exponential & Logarithmic Functions
Please Help ASAP! The question is in the picture.
Sam purchases a house for $150,000 near Thurmond Lake. The value of houses in the area where the house was purchased is averaging an increase of 7% per year.
What would be the growth factor (multiplier)?
If the trend continues how much would the house be worth 12 years after Sam purchased the house?
Answer:
What would be the growth factor (multiplier)?
Continuously compounded:
e or 2.718.
Simple interest:
1.84
If the trend continues how much would the house be worth 12 years after Sam
purchased the house?
Continuously compounded:
$347,455.05
Simple interest:
$276,000.00
_______________
Step-by-step explanation:
In a school 35% of 280 students bring lunch from home. How many students is that?
Answer: 98
Step-by-step explanation:
A snail crawls 24 inches in 8 minutes.
What is the unit rate of the snail's movement?
The unit rate of the snail's movement is 3 inches per minute.
Unit rate:Important information:
A snail crawls 24 inches in 8 minutes.We need to find the unit rate.
Divide the distance by time to find the unit rate.
[tex]\text{Rate}=\dfrac{24}{8}[/tex]
[tex]\text{Rate}=3[/tex]
Therefore, the unit rate of the snail's movement is 3 inches per minute.
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Find the unknown side lengths in these right triangles.
When is it true the Pythagorean Theorem is..?
A) True for all triangles
B) True for all right triangles
C) True for some right triangles
D) Never true
Answer:
Triangle 1 - [tex]\sqrt{29[/tex] (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)
Triangle 2- i couldnt figure this one out- may not be true
Pythagorean Theorem is... C) true for all right triangles
Step-by-step explanation:
Which value is equivalent to the expression 32 × 33?
Answer:
1,056
Step-by-step explanation:
Answer 32x33=33x32 easy
Fran prepared 200.2 grams of dough. How much dough did she use measured in ounces?
Answer:
7 ounces
Step-by-step explanation:
What is the sign of 45 + (-38)
Answer:
A) POSITIVE
Step-by-step explanation:
45 +(-38)
Will become
45-38
= 7
what is the area of the triangle shown below?
Answer:
68
Step-by-step explanation:
The formula for finding the are of a right triangle is
A= 1/2bh
( area = base times height divided by 2)
17 is the base and 8 is the height, 8*17=136
136÷2=68
the volume of a cube is 64 inches.what is the length of one side of the cube?
Answer:
4
Step-by-step explanation:
you find it by base x width x height 4x4x4=64
Nathalie has one large bowl of popcorn. She invite 3 friends over to watch a movie. Her brother takes 1/5 of the popcorn for himself. Nathalie must share the popcorn the rest equally with her friends. How much does does each friend get.
Sasha grew 36 plants with 9 seed packets. How many total seed packets does Sasha
need if she wants to have 76 plants in her backyard in all? Solve using unit rates.
seed packets
Answer:
10 more seed packets.
Step-by-step explanation:
36/9=4 so there are 4 seeds in each packet. If she already has 36 plants, she only need 40 more to get the 76 she wants. 40/4=10 so she needs 10 more seed packets.
An airplane on autopilot took 6 hours to travel 4,200 kilometers. What is the unit rate for kilometers per hour?
Answer:
59
Step-by-step explanation:
Its easy
After a robot vacuum is fully charged, it can run for 15 minutes. It can vacuum 1/2 square foot every second. Can a fully charged robot clean a room that is 400 square feet without recharging?
Answer:
The robot can clean the room without recharging.
Step-by-step explanation:
Given:
After a robot vacuum is fully charged, it can run for [tex]15[/tex] minutes.
The robot cleans [tex]\frac{1}{2}[/tex] square foot every second.
To find: If the charged robot can clean a room that is [tex]400[/tex] square feet without recharging.
Solution:
Area cleaned by the robot in [tex]1[/tex] second [tex]=\frac{1}{2}[/tex] square foot.
We know that, [tex]1[/tex] minute [tex]=60[/tex] seconds.
So, [tex]15[/tex] minutes [tex]=15\times 60=900[/tex] seconds.
Now, area cleaned by the robot in [tex]900[/tex] seconds [tex]=\frac{1}{2} \times 900=450[/tex] square feet.
The area to be cleaned is [tex]400[/tex] square feet.
Hence, the robot can clean the room without recharging.
The side length of an equilateral triangle is 6x - 12. Write an expression for the perimeter of the triangle in simplest form.
Answer:
18x - 36
Step-by-step explanation:
In an equilateral triangle the 3 sides are congruent, then
perimeter = 6x - 12 + 6x - 12 + 6x - 12 ← collect like terms
= 18x - 36
The required expression would be 18x - 36 for the perimeter of the triangle in simplest form.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
As we know in an equilateral triangle the 3 sides are congruent.
The perimeter of the triangle = 6x - 12 + 6x - 12 + 6x - 12
Combine the likewise terms and we get
The perimeter of the triangle = 18x - 36
Therefore, the required expression would be 18x - 36 for the perimeter of the triangle in simplest form.
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