Answer:
f(x)= -1/4x-2
Step-by-step explanation:
Slope= -1/4
y-intercept= -2
Which expressions are equivalent to 5x square root 28x^5+ 8x^3 square root 7x if x>0?
Answer:
1, 2, & 5 in Vertical Order
The expression equivalent to [tex]5x\sqrt{28x^{5} } + 8x^{3} \sqrt{7x}[/tex] is [tex]18x^{3}\sqrt{7x}[/tex].
SimplificationWhat is simplification?In order to simplify an expression, multiple processes must be used to reduce it to a simpler form.
Formula used in simplification:[tex]\sqrt[n]{ab} =\sqrt[n]{a} .\sqrt[n]{b}[/tex]
Simplification of given expression:= [tex]5x\sqrt{28x^{5} } + 8x^{3} \sqrt{7x}[/tex]
= [tex]5x\sqrt{4*7x^{5} } + 8x^{3} \sqrt{7x}[/tex]
= [tex]5x\sqrt{2^{2} *7x^{4}x } + 8x^{3} \sqrt{7x}[/tex]
Apply the simplification formula
= [tex]5x\sqrt{2^{2}} \sqrt{x^{4} } \sqrt{7x} + 8x^{3} \sqrt{7x}[/tex]
= [tex]5x*2x^{2} \sqrt{7x} + 8x^{3} \sqrt{7x}[/tex]
Further solve,
= [tex]10x^{3} \sqrt{7x} + 8x^{3} \sqrt{7x}[/tex]
= [tex]18x^{3} \sqrt{7x}[/tex]
The expression equivalent to [tex]5x\sqrt{28x^{5} } + 8x^{3} \sqrt{7x}[/tex] is [tex]18x^{3}\sqrt{7x}[/tex].
To know more about how to solve quadratic equation?, here
https://brainly.com/question/1214333
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Alyssa is painting 3 of the walls in her art studio blue. Each of the walls is 8.3 feet tall and 7.5 feet wide. Round the length and width to the nearest whole number (ones). Then estimate the area Alyssa will paint. Write equations to show your work.
Answer: below(=
Step-by-step explanation: Given that,
dimensions of wall = 8.3ft by 7.5ft
height of wall = 8.3
width of wall = 7.5
there are total 3 walls in a bedroom to be painted blue.
Formula to calculate area of one wall
Height x Width
Formula to calculate area of four walls
3 (Height x Width)
= 3( 8.3ft x 7.5ft)
= 3 (62.25 ft²)
= 186.75 ft²
So area Alyssa will paint = 186.75 ft²
Answer: below(=
Step-by-step explanation: Given that,
dimensions of wall = 8.3ft by 7.5ft
height of wall = 8.3
width of wall = 7.5
there are total 3 walls in a bedroom to be painted blue.
Formula to calculate area of one wall
Height x Width
Formula to calculate area of four walls
3 (Height x Width)
= 3( 8.3ft x 7.5ft)
= 3 (62.25 ft²)
= 186.75 ft²
So area Alyssa will paint = 186.75 ft²
In order to join an online learning community, there is a 20$ start up fee and a $5 monthly fee. Write an equation in slope intercept that models this situation
Answer:
y=5x+20
Step-by-step explanation:
The slope equation is usually in the form
y= mx+b
Where "y" is intercept
m= slope
b= constant= 20$ start up fee
Then writing the equation of slope for the question we have y=5x+20 which represent the slope equation.
Find the slope of the line that passes through (1,4) and (10,3)
Answer:
-1/9
Step-by-step explanation:
m=y2-y1/x2-x1
3-4=(-1)
10-1=9
-1/9
hope this helps :3
if it did pls mark brainliest
A repairman estimates the cost of fixing a computer is at most $225.
The estimate includes $35 for a part, a $40 service charge, and $30 per hour for labor.
What is the maximum number of hours the repairman estimates for the job?
Answer:
The answer is 5 hours
Step-by-step explanation:
First u add the part and service charge toghther which is 75 and then 225 minus 75 is 150 so u divide 150 and 30 and u get 5 which is your answer.
HOPE THIS HELPS
How many milliliters are equal to 5.265 liters?
5,265 milliliters
52.65 milliliters
52,650 milliliters
526,5 milliliters
The second statement is the
of the first
A. contradiction
B. converse
C. inverse
D. contrapositive
Answer:
The second statement is the contrapositive of the first.
Step-by-step explanation:
We know that x → y is a conditional statement read as 'if x then q'.
The converse EXCHANGES the hypothesis and conclusion such as:
y → x
The 'contrapositive' statement basically NEGATES the converse of the conditional such as:
¬y → ¬x
Coming back towards the question,
Given
x ⇒ y
¬y ⇒ ¬x
Therefore, the second statement is the contrapositive of the first.
Answer:
D. Contrapositive
Step-by-step explanation:
got it right on the test
Which equation has an undefined slope and passes through the points 7, 5
2.7x -9 = x +7.5 need the answer can't find solution.
Answer:
x = 9.7
Step-by-step explanation:
2.7x -9 = x +7.5
2.7x - x = 7.5 + 9
1.7x = 16.5
x = 16.5/1.7
x = 9.7
Answer:
x = 9.70588
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
2.7x - 9 = x + 7.5
Step 2: Solve for x
Subtract x on both sides: 1.7x - 9 = 7.5Add 9 on both sides: 1.7x = 16.5Divide 1.7 on both sides: x = 9.70588Step 3: Check
Substitute in x into the original equation to verify it's a solution.
Substitute in x: 2.7(9.70588) - 9 = 9.70588 + 7.5Multiply: 26.2059 - 9 = 9.70588 + 7.5Subtract/Add: 17.2059 = 17.2059Here we see that 17.2059 does indeed equal 17.2059.
∴ x = 9.70588 is a solution of the equation.
The slope of a line passing through points (1, 2) and (1, 3) is equal to:
HELPPP
Answer:
Undefined.
Step-by-step explanation:
m = y2-y1 / x2-x1
m = 3 - 2 / 1 - 1
m = 1/0, which is undefined.
You can also tell because (1,2) and (1,3) is a vertical line, which means the slope is undefined.
Solve the equation. -3(-7-x)=1/2(x+2).
Answer:
x=-8
Step-by-step explanation:
HELP! The Question is "Select All Ordered pairs that satisfy the function y=4x + 3.
Answer: see explanation
Step-by-step explanation: To determine which ordered pairs satisfy the equation substitute the x coordinate of the point into the right side and if the value obtained equals the y coordinate of the point then it satisfies the equation
(- 1, - 1)
x = - 1 : y = - 4 + 3 = - 1 ⇒ (- 1, - 1) satisfies the equation
(2, 11)
x = 2 : y = 8 + 3 = 11 ⇒ (2, 11) satisfies the equation
(4, 7)
x = 4 : y = 16 + 3 = 19 ≠ 7 ⇒ (4, 7) does not satisfy the equation
(7, 1)
x = 7 : y = 28 + 3 = 31 ≠ 1 ⇒ (7, 1) does not satisfy the equation
Zoe placed colored blocks on a scale in science class. Each block weighed 0.8 ounces. The total weight of all the colored blocks was 12.8 ounces. How many blocks did Zoe place on the scale? Write and solve an equation to find the answer. number of blocks =
Answer:
16 blocks. 12.8=(.8)x
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
because it both so it come out to be 16
6(5+7)-4.8 pls help....................
Answer:
67.2
Step-by-step explanation:
5 + 7 = 12
6 * 12 = 72
72 - 4.8 = 67.2
Answer:
The answer is 67.2
Step-by-step explanation:
6(5+7)−4.8
(6)(12)−4.8
72−4.8
67.2
Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275.
Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
50 POINTS SHOW WORK PLEASE AND IF DO YOU WILL GET BRAINLIST.
Solve for y.
Enter your answer in the box.
y =
I need help with number 29.
Answer:
f and g i think
Step-by-step explanation:
What are the domain and range of the function h(x)=-1/2(x – 4)^2 + 3?
Answer:
See below.
Step-by-step explanation:
[tex]h(x)=-1/2(x - 4)^2 + 3[/tex]
The domain is all real numbers.
The range is all real numbers [tex]\leq 3[/tex].
The domain of the function will be all real numbers and the range of the function will be (-∞, 3].
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient. Then the equation of the parabola will be given as,
y = a(x - h)² + k
The domain means all the possible values of x and the range means all the possible values of y.
The equation of the parabola is given below.
h(x) = – 1/2(x – 4)² + 3
The vertex of the parabola is at (4, 3). The parabola is a downward parabola.
The domain of the function will be all real numbers and the range of the function will be (-∞, 3].
More about the equation of the parabola link is given below.
https://brainly.com/question/20333425
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Find AT AND RC. 80 points
Answer:
AT=6, RC=5
Step-by-step explanation:
Perpendicular bisector intersect at T that is the circumcenter.
since RT is a bisector or AC and AR=5 then RC=5
Circumcenter is equidistant from the vercices of the triangle so
AT≅BT≅CT
but CT is given to be CT=6 so AT=6
Answer:
AT=6, RC=5
Step-by-step explanation:
50 POINTS AND BRAINLIEST!!!!!!
Answer:
14 12 10 8 6 4 2
Step-by-step explanation:
Here,
y=8-2x
if x=-3
y=8-2×-3=8+6=14
if x=-2
y=8-2×-2=8+4=12
if x=-1
y=8-2×-1=8+2=10
if x=0
y=8-2×0=8-0=8
If x=1
y=8-2×1=8-2=6
if x=2
y=8-2×2=8-4=4
If x=3
y=8-2×3=8-6=2
6
4
3
1
1
2 3
4 5 6
7 8
y = -x + 2
y = x + 2
y =
= -x + 2
Answer:
For Me Imposible Question!!
Step-by-step explanation:
Natalie and Anjali each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Natalie spent $86 on 2 hostas and 7 shrubs. Anjali spent $104 on 8 hostas and 4 shrubs. Find the cost of one hosta and the cost of one shrub
Please help it is on solving systems of equation using all methods
Answer: One hosta= $8
One shrub = $10
Step-by-step explanation:
Let the cost of one hostas be h
Let th cost of one shrub be s.
The question can be rewritten into am equation as:
2h + 7s = 86 .......... equation i
8h + 4s = 104 ........ equation ii
Multiply equation i by 8
Multiply equation ii by 2
16h + 56s = 688 ...... equation iii
16h + 8s = 208 ........ equation iv
Subtract equation iv from iii
48s = 480
s = 480/48
s = 10
One shrub cost $10
Put the value of one shrub into equation ii
8h + 4s = 104
8h + 4(10) = 104
8h + 40 = 104
8h = 104 - 40
8h = 64
h = 64/8
h = $8
One hostas cost $8
Solve by elimination: (x + 7y = 12) (3x - 5y = 10) *
Answer:
Step-by-step explanation:
A cookie cake is sliced into 6 equal pieces. The
arc length of one slice of cookie cake is 42in. What is the area of one cookie slice?
Answer:
the area of one cookie slice is 7
Ste p-by-step explanation:
two equal cubes with sides 6cm are placed one above the other forming a cuboid. Find the total surface area of the cuboid thus formed
Answer:2 cm
Step-by-step explanation: isk
. What is 42% of 80?
Answer:
The answer is 33.6
Step-by-step explanation:
hope that helps
Just multiply 80 and 0.42 then you will get the answer.
3-7t(more than/equal to)31
Solve the inequality
what is the answer of this question
We know that 4 times 64 equals 256, so know we need to figure out what 64/4 is. 16. Now, 16/4, which is 4. 4 to the power of 4 equals 256.
Answer: 4
Does anyone know what lesson this is i took these notes are they good
Answer:
ngl i learned this type of math pretty sure, and that looks better than my teachers own notes-
Step-by-step explanation:
ima go poof again cuz if i don't ima lose my game ;-;
Answer: I’m to dumb for that
Step-by-step explanation:
My brain is broken just looking at that math
Identify the system of equations given in the graph below.
Hi there!
[tex]\large\boxed{\left \{ {{y=3x + 1} \atop {y = 3x - 1}} \right}[/tex]
From the graph, we can see that both lines are parallel. We can determine the slope of one line to find the slope of the other.
Use the slope formula to determine the slope of a line. In this case, I am using the blue line as a reference:
[tex]\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 }[/tex]
[tex]m = \frac{ 3 - 1 } { 1 - 0 } = 3[/tex]
The slope of both lines is 3.
Let's find the equation of the blue line by finding its y-intercept to solve for the "b" value in the equation y= mx + b:
y-intercept is when x = 0, or at (0, 1). Therefore:
Blue line equation: y = 3x + 1
The red line intersects the y-axis at (0, -1), therefore:
Red line equation: y = 3x - 1
The systems of equations is:
y = 3x + 1
y = 3x - 1
Answer:
y = 2x + 1
y= 2x - 1
Step-by-step explanation:
I just took the test and got it correct :)