The graph of a linear function passess through the points (3, 19) and (5, 23). Write an equation for the function. Show your work
Answer:
y = 2x +13
Step-by-step explanation:
1. find the slope by using the formula y2-y1
--------
x2-x1
which is
23 - 19 4
------------ = --- = 2
5-3 2
2. finding the y intercept
so to find the y intercept you plug in the numbers to this formula
y-y1 = m (x-x1)
y - 19 = 2 (x -3)
y - 19 = 2x -6
+19 +19
y = 2x +13
what is 3x+3(x+y). I need help answering this algebra I question
Answer:
6x + 3y
Step-by-step explanation:
3x + 3x + 3y (use the distributive property)
6x + 3y
4. Solve the following equation: 9x - 6 +7x = 16x - 6
Answer: the answer is 0=0
Step-by-step explanation:
Ten gallons of a 25% salt solution are to be obtained by mixing solutions that are 13% salt and 33% salt
respectively. How many gallons of each are needed?
Answer:
salt + salt = salt
0.13x +3.3-0.33x =2.5
-0.20x=-0.8
x= 4 gallons (amt of 13% solution to be mixed)
10-x= 6 gallons (amt of 33% solution to be mixed)
-----------
Cheers,
Stan H.
Step-by-step explanation:
Help! Currently failing! ✌️
Select the correct answer.
What is the product of -3 1/3 and -8 7/10?
A. 9/5
B. 2
C. 175/30
D.
29
Answer:
awser 29
Step-by-step explanation:
`22
Answer:29
Step-by-step explanation:
Please help!! What is RS?
Answer:
RS = 47Step-by-step explanation:
RV=VU and SW=WT means [tex]VW=\frac{RS+UT}{2}[/tex]
So:
[tex]3x+5=\dfrac{2x+15+6x-37}{2} \\^{\qquad\times2\qquad\qquad\qquad\qquad\times2} \\6x+10=8x-22\\^{\qquad-10\qquad-10}\\6x=8x-32\\^{-8x\qquad-8x}\\-2x=-32\\^{\div(-2)\quad\div(-2)}\\x=16\\\\RS=2x+15=2\times16+15=32+15=47[/tex]
Shelter A has a capacity of 300 beds and is 60% occupied. Shelter B is 30% occupied. The ratio of the occupancy of Shelter A to Shelter B is 1 : 2. How many beds are in Shelter B?
Answer:
1200 beds
Step-by-step explanation:
Shelter A has a capacity of 300 beds and is 60% occupied.
The amount of beds occupied =
60% × 300 beds
= 60/100 × 300
= 180 beds
Shelter B is 30% occupied.
Let the number of beds in Shelter B = x
30% × x = 0.30x beds
Hence:
180 beds + 0.30x beds
The ratio of the occupancy of Shelter A to Shelter B is 1 : 2.
Let the sum of the proportion = 1 + 2 = 3
Hence:
Number of beds in Shelter B =
2/3(180 beds + 0.30x beds) = 0.3x
2/3(180 + 0.30x) = 0.3x
Cross Multiply
2(180 + 0.30x) = 0.3x × 3
360 + 0.6x = 0.9x
Collect like terms
360 = 0.9x - 0.6x
360 = 0.3x
x = 360/0.3
x = 1200 beds
Therefore, the number of beds that are in Shelter B is 1200 beds
f(x) = 3x for x = –4
Answer:
Step-by-step explanation:
f(x)=3x+x^4. f(x)=3x+x4 f ( x ) = 3 x + x 4.
Solve the following equation:
x2 = 64
x = 32
X = 8
x = -8
x = 8 or x = -8
Answer:
X=±8
Step-by-step explanation:
x²=64
x²=8²
X=±✓8²
X=±8
please help me i don't get this and im dum
Answer:
The answer is 1.
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPP!!!!!!!! 10 POINTS
answer: 58% ?? if I'm wrong I am sorry
Pls I need help ASAP
Answer:
2x+12=22
Step-by-step explanation:
the side we don't know is x and there are 2 and there are 2 lengths the same in a rectangle. we know one of them and it is 6 so we do 6 x 2 which is 12.
15 POINTS!! What is 58% of 18? SHOW YOUR WORK!
Answer:
10.44
this is the answer of this question
Answer:
58 ×18
100
10.44
hope it helps..
Ryan has 4 cups of grape juice, and Kelsey has 7 cups of lemonade. They want to combine what they have to make punch. How many 1/2 cup of servings of punch can they make?
Answer:
it should be 5 and a half
Step-by-step explanation:
Hope this helps
A quadrilateral has two angles that measure 10° and 70°. The other two angles are in a ratio of 3:11. What are the measures of those two angles?
Answer:
The measures of those two angles are 60° and 220°
Step-by-step explanation:
The sum of the measures of the angles of any quadrilateral is 360°Let us solve the question
∵ A quadrilateral has two angles that measure 10° and 70°
→ By using the rule above, subtract their measure from 360
∴ The sum of the other two angles = 360° - 10° - 70°
∴ The sum of the other two angles = 280°
∵ The other two angles are in a ratio of 3: 11
→ Find the sum of the parts of the ratio
∵ The sum of the parts of the ratio = 3 + 11 = 14
∵ The sum of the measures of these 2 angles is 280°
→ By using the ratio method
→ m∠1 : m∠2 : their sum
→ 3 : 11 : 14
→ x : y : 280°
→ By using cross multiplication
∵ x × 14 = 3 × 280
∴ 14x = 840
→ Divide both sides by 14
∴ x = 60
∴ m∠1 = 60°
∵ y x 14 = 11 x 280
∴ 14y = 3080
→ Divide both sides by 14
∴ y = 220
∴ m∠2 = 220°
∴ The measures of those two angles are 60° and 220°
The average cost of a gallon of gasoline increased to $2.99 per gallon from $2.85. Find the percent change.
Answer:
There was a 4.9% increase in gasoline prices.
Step-by-step explanation:
Write an algebraic expression that models the given situation.
24 more than the product of 2 and a number.
Enter the correct answer in the box.
Answer:
2x + 24
Step-by-step explanation:
The product of 2 and a number is: 2x
because product means multiply. 2 and a number means 2 times an unspecified number represented as x. 24 more than that product just means to add 24 to the product of 2x.
Answer:2x + 24
Sorry I was gonna do it when it was posted but I was grounded that time sorry. Have a great day!
what is the first step when solving this equation: 2(x-4)+6=3x+19
Answer: The first step is to follow order of operations so parenthesis goes first e potential next multiplication and division and finally adding and subtracting.
Step-by-step explanation:
what is the perimeter?
Answer:
24
Step-by-step explanation:
Count the outer boxes.
3+x) 5
Solve it for me, and tell me how to do it EXPLANATION NEEDED
solve the system of equations
-3y+4x=13
-5y-6x=-67
Answer:
{x,y} = {67/16,-15/4}
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] 2y = -8x + 26
[2] y = -4x + 13
// Plug this in for variable y in equation [1]
[1] 4x + 5•(-4x+13) = -2
[1] -16x = -67
// Solve equation [1] for the variable x
[1] 16x = 67
[1] x = 67/16
// By now we know this much :
x = 67/16
y = -4x+13
// Use the x value to solve for y
y = -4(67/16)+13 = -15/4
Ratios as Ordered Pairs
PLS HELP I WILL GIVE YOU BRAINLIST AND 50 POINTS
Which ordered pairs represent the equivalent ratios in the table? Check all that apply.
(1, 2)
(1, 4)
(2, 8)
(4, 1)
(3, 12)
Answer:
1,4, 2,8, and 3,12 are all equivalent
Plzzzzz give me Brainliest!!!!!
help me plzzz!?!?? true or false
Answer:
false, true, false
Step-by-step explanation:
A. False - She has 15 plants
B. True - She has 4 plants that are 7-9 and 4 plants that are 10-12
C. True - Medain means middle, and since it is an even number, and it's between 9 and 10, there's a good chance it's around 11
If 18,20,26 are the side lengths of a triangle would the triangle be acute , obtuse or right?
Answer: It would be acute
Step-by-step explanation:
A city has a population of 330,000 people. Suppose that each year the population grows by 3.75%. What will the population be after 7 years?
Use the calculator provided and round your answer to the nearest whole number.
people
5
?
Answer:
429 058 people
Step-by-step explanation:
We will use the population growth formula.
Initial population * e ^ (rate * time)
With the information given, the equation will look like this:
[tex]330000 * e^(0.0375*7)[/tex]
(The numbers in the parantheses are exponents.)
Plug this into the calculator and you will get:
429 058 people.
Let me know if you have anymore questions.
The difference between 31 and a number is 7
Answer:
24
Step-by-step explanation:
33 1/3% of 27
I have no clue how to solve this
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
33⅓ % = 1/3
1/3 x 27 = 9
Which number line shows the solution set of the inequality 162 – 15 > 9?
Answer:
147 > 9
Step-by-step explanation:
162 - 15 > 9
147 > 9
you dont have any number lines, but if you add it to your question, i will edit my answer to tell you what one it is...
Hope this Helps!!
According to the U.S.
Census, 76% of U.S. workers commute
to work by driving alone. Write 75% as
a decimal
.75. Simply have to move the decimal place from where the % sign is to the left two times.