Answer:
[tex]y = -\frac{2}{3} x - \frac{8}{3}[/tex]
Step-by-step explanation:
[tex]2x - 3y = 8\\[/tex]
Isolate y
[tex]-3y = 8-2x\\-3y = -2x+8[/tex]
Divide both sides of the equation by -3
[tex]\frac{-3y}{-3} = \frac{2x}{-3} +\frac{8}{-3} \\\\y = -\frac{2}{3} x - \frac{8}{3}[/tex]
what is the same as 4 tens and 13 ones?
Answer:
53 ones
Step-by-step explanation:
In 13 ones, there is 1 ten and 3 ones.
4 tens + 1 ten = 5 tens
5 tens = 50 ones
50 ones + 3 ones = 53 ones
Write an algebraic expression to represent each verbal expression. 5 times the sum of a number and 1
Answer: 5(x+1)
Step-by-step explanation:
Let the number be x
Sum of number and 1 is x+1
5 times the sum is 5(x+1)
The cube of a number is less than five times the square of the number. For what set of numbers is this true?
(-0,5)
(5.00)
(-0.0) U (0.5)
Answer:
[tex](-\infty,0)\cup (0,5)[/tex].
Step-by-step explanation:
Note: In the given options it should be negative infinity instead of -0 because -0 does not make any sense.
It is given that cube of a number is less than five times the square of the number.
Let the unknown number be x.
[tex]x^3<5x^2[/tex]
[tex]x^3-5x^2<0[/tex]
[tex]x^2(x-5)<0[/tex]
This is possible when both factors [tex]x^2\text{ and }(x-5)[/tex] have different sign.
We know that [tex]x^2[/tex] is always greater than or equal to 0. So,
[tex]x-5<0[/tex]
[tex]x<5[/tex]
[tex]x\in (-\infty,0)\cup (0,5)[/tex]
Because [tex]x^2(x-5)<0[/tex] is not true for x=0, so, 0 is not included in the solution set.
Therefore, the solution set is [tex](-\infty,0)\cup (0,5)[/tex].
Answer:
C
Step-by-step explanation:
Complete the division problem.
What is the remainder?
?
- 18x - 7
2x + 3
- 2x + 5
6x + 5
Answer: 6x+5 I did the test on edg
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
for edge
find the inverse of the function f(x)=4x^3-7
Answer:
f^-1(x)=³√[(x+7)÷4]
Step-by-step explanation:
f(x)=4x^3-7
y=4x^3-7
interchange 'y' with 'x'
x=4y^3-7
make y the subject
4y^3=x+7
divide by 4 both sides
y^3=(x+7)÷4
multiply by the cube root both sides
³√(y^3)=³√[(x+7)÷4]
y=³√[(x+7)÷4]
f^-1(x)=³√[(x+7)÷4]
The graph of a function g is a
transformation of the graph of
f (x) = 9x + 5, where g(x) is 60% of
f(x). Write a rule for g
Answer:
[tex]g(x)=5.4x+3[/tex], graph of f(x) vertically compressed by factor 0.6 to get g(x).
Step-by-step explanation:
The given function is
[tex]f(x)=9x+5[/tex]
It is given that the graph of a function g is a transformation of the graph of
f (x), where g(x) is 60% of f(x). So, we need to write a rule for g.
[tex]g(x)=60\%\text{ of }f(x)[/tex]
It means graph of f(x) vertically compressed by factor 0.6 to get g(x).
[tex]g(x)=\dfrac{60}{100}(9x+5)[/tex]
[tex]g(x)=0.6(9x+5)[/tex]
[tex]g(x)=0.6(9x)+0.6(5)[/tex]
[tex]g(x)=5.4x+3[/tex]
Therefore, [tex]g(x)=5.4x+3[/tex]. Graph of f(x) vertically compressed by factor 0.6 to get g(x).
A "centroid" is defined as the center of mass of an object, or shape. How might the midpoint formula be used to find the midpoint of a triangle?
Answer:
we can use centeroid formula of a triangle
that is (x1+x2+x3)/3
hope that helps : )
PLEASE HURRY I NEED HELP I TRIED FOUR DIFFERENT TIMES ON THIS EQUATION AND I DON'T UNDERSTAND WHAT TO DO (will give brainliest for best answer) image below
Answer:
The answer is 48a-6b-14
Step-by-step explantion:
simplify by combining liketerms:
-6- 2b•3 -6a+ 10a• 3-16÷ 2- 4 • -6a
-6-6b-6a+30a -8+24a
48a-6b-14
Good luck!
Marnie’s charge for 4 1/2 hours of babysitting 
Answer:
$33.75
Step-by-step explanation:
Step 1:
$22.50 ÷ 3 = $7.50
Step 2:
$7.50 × 4.5 = $33.75
Answer:
$33.75
Hope This Helps :)
perform the necessary questions -5 -(-3) + (-8)
the answer is 0 because -5 -(-3) equals 8 which cancels out when u add negative 8 :)
What is 2/5 divided 3/4
Answer:
8/15
Step-by-step explanation:
To divide by a fraction, change the division to a multiplication, and flip the fraction.
2/5 / 3/4 = 2/5 * 4/3 = 8/15
A line that divides a shape into two equal parts is called
the answer is line symmetry
Is 10x-3=5(2x-4) +17 one solution , many solutions or no solutions
Answer:
Many solutions
Step-by-step explanation:
Answer: NO SOLUTION
Step-by-step explanation:
Evaluate the Piecewise Function for: f(2)
Answer:
f(2) = - 1
Step-by-step explanation:
Locate x = 2 on the x- axis, then go vertically down to the line. At this point read off the corresponding value for y on the y- axis, that is
f(2) = - 1
Sam has three bags of marbles. The first bag has three-hundred-seventy marbles. The second bag has four-hundred-twenty marbles. And the third bag has two-hundred-ten marbles.
Answer:
1000 is a good estimation
Step-by-step explanation:
All three numbers in the hundreds place add up to 1,100, but they want you to estimate not solve the problem.
Evaluate.
(x + 4). 2 - x for x = 6
54
74
0
14
Answer: 74
Step-by-step explanation:
Substitute x=6 into the expression
(x+4) . 2^3 -6
Add the numbers
(6+4) . 2^3- 6
10 x 2^3 -6
Evaluate the power
10 x 2^3 -6
10 x 8-6
Multiply the numbers
10 x 8-6
80-6
Subtract the numbers
80-6
74
Alexa programmed a website's checkout process with an equation to calculate the amount customers will be charged when they buy hair
ribbons. The website offers a discount. If one ribbon is bought at the full price of $5.75 then each additional ribbon is $3.50. State an
equation that represents the cost C, when r ribbons are downloaded,
Answer:
Hey there!
The equation would be C=3.50r+5.75
Let me know if this helps :)
A glide-reflection consists of what two type of transformation.
Answer:
reflection and translation
guys i need help pls
-6/2
-3
subtract the top and divide
hope it helps
simplify the equation
x+2=7x+3
Answer:
6x + 1
Step-by-step explanation:
Step 1:
x + 2 = 7x + 3
Step 2:
6x + 3 - 2
Answer:
6x + 1
Hope This Helps :)
What is the distance between each pair of points?
Answer:
The square root of 145.
Step-by-step explanation:
For this problem, make a right triangle between these two points. To solve for distance, use the Pythagorean formula. We know that one side is 8, and the other side is 9, so square 8 and 9 to get 64 plus 81. When you add these together, you get the square root of 145. You cannot further simplify the square root of 145, so that is the distance between the pair of points.
Answer:
For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.
Step-by-step explanation:
what is √330 simplified?
Answer:
18.16590212
Step-by-step explanation:
if it takes 24 minutes to walk 2 miles how long would it take to walk 6 miles
Step-by-step explanation:
24min= 2miles
? 6miles
it will be 6×24min÷2= 72minutes or 1hr 12min
Sanji has a square room with a perimeter of 42.5 feet. If she wants to hang a curtain along one full side of the room, how long does the curtain need to be?
Answer:
The length of the curtain is 10.625 feet
Step-by-step explanation:
The length of the curtain to cover one side of the room depends on the shape of the room
Given a room shape of a square, we have;
Perimeter = 4 × Side length of the room
Length of the curtain = Side length of the room
Therefore;
Perimeter = 4 × Length of the curtain
42.5 feet = 4 × Length of the curtain
Length of the curtain = (42.5 feet)/4 = 10.625 feet
The length of the curtain = 10.625 feet.
Distributive property of 1/2(8x+2)
Answer:
4x+1
Step-by-step explanation:
1/2 *(8x+2)=1/2*8x+1/2*2=4x+1
Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time he will use the Same amount of plant food as before how much plant food will he need
Answer:
3 7/12 kg
He doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time
Step-by-step explanation:
On sunday , sheldon bought 4 1/2 kg of plant food. He uses 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. b. Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the same amounts of plant food as before. How much plant food will be need? Does he have enough left to do so.
Total plant bought = 4 1/2 kg
Strawberry = 1 2/3 kg
Tomato = 1/4 kg
Strawberry + tomato
= 1 2/3 + 1/4
= 5/3 + 1/4
= 20+3/12
= 23/12 kg
Total remaining after Sunday
= Total - used
= 4 1/2 - 23/12
= 9/2 - 23/12
= 54-23/12
= 31/12
= 2 7/12 kg
Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time.
Strawberry = 2 × 1 2/3
= 2 × 5/3
= 10/3 kg
Tomato = 1 × 1/4
= 1/4 kg
Total plant needed to feed strawberry two more times and tomato 1 more time
= 10/3 kg + 1/4 kg
= 40+3/12
= 43/12 kg
= 3 7/12 kg
He will need 3 7/12 kg of plant
He doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time
How many grams are in 32372 milligrams? Round your answer to the nearest tenth ( to one decimal point)
Answer:
Hey there!
The rule for converting milligrams to grams is dividing by 1000.
So, 32372 milligrams would be 32.372 grams.
Let me know if this helps :)
|x+2| > 3 solve the inequality
Answer:
-3< x + 2 > 3
-5 < x > 1
Is this correct?
please help me asa[pasasppapspaspaspasppss
Answer:
B
Step-by-step explanation:
The smaller one is divided by 2 and is reflected around the y-axis
(i'm not good at explaining)
what is 4/6 × 3/8 ????
Answer:
its 0.25 or 1/4
Step-by-step explanation:
4/6 times 3/8 =
4 3
6 8
1 1
times
2 2 =
1/4 or 0.25