The value of
y
is directly proportional to the value of
x
.
x
.
if
y
=
42
y
=
42
when
x
=
84
,
x
=
84
,
what is the value of
y
y
when
x
=
35
x
=
35
Answer:
y = 17.5
Step-by-step explanation:
Given that y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 42 when x = 84, then
42 = 84k ( divide both sides by 84 )
0.5 = k
y = 0.5x ← equation of proportion
When x = 35, then
y = 0.5 × 35 = 17.5
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
Answer:
-17
Step-by-step explanation:
[tex] - 3{(y + 2)}^{2} - 5 + 6y \\ - 3(y + 2)(y + 2) - 5 + 6y \\ ( - 3y - 6)(y + 2) - 5 + 6y \\ - 3 {y}^{2} - 6y - 6y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y + 6y - 12 - 5 \\ - 3 {y}^{2} - 6y - 17[/tex]
Answer[tex]-3y^{2}-6y-17[/tex]
If an object is dropped from a height of 39 feet, the function h(t)=-16t^2+39 gives the height of the object after t seconds. Graph the function
Answer:B
Step-by-step explanation: I took the test.
The graph of the function h(t)=-16t^2+39 is graph (b)
The equation of the function is given as:
h(t)=-16t^2+39
The above function is a quadratic function that as a y-intercept of 39.
This is shown as follows:
h(0)=-16 * 0^2+39
Evaluate the exponent
h(0)=-16 * 0+39
Evaluate the product
h(0)=0+39
Evaluate the sum
h(0)= 39
Hence, the graph of the function h(t)=-16t^2+39 is graph (b)
Read more about quadratic functions at:
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Which graph shows four points that represent equivalent ratios?
Answer:
b
Step-by-step explanation:
Only option b from the available options represents equivalent ratios.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not.
The function of a line that shows the equivalent ratio always goes through the origin point of a cartesian plane.
The general form of the equation that shows the equivalent ratio:
Y = MX
Where M is Slope
therefore, From the given Options only option b is representing equivalent ratios.
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Complete Question:
Gabe earns $10 per hour working for a landscaping business. He earned a raise to $10.75 per hour.
What is the percent increase of Gabe’s wages? If necessary, round your answer to the nearest tenth of a percent.
How are lines KL and MN related?
O The lines intersect at point K.
O The lines are parallel.
O The lines are perpendicular.
O The lines do not have slopes,
The lines KL and MN perpendicular to each other.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
If a line passes through two points, then the slope of the line is
m = y2-y1/x2-x1
From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).
The slope of line KL is
m = 0
The slope of line KL is 0, it means it is a horizontal line.
From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).
The slope of line MN is
m = 1/0
The slope of line MN is 1/0 or undefined, it means it is a vertical line.
We know that vertical and horizontal lines are perpendicular to each other.
Therefore the lines KL and MN perpendicular to each other.
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Simplify five to the power of -4 over five to the power of three plzzzz answer
Answer:
5^-4= 0.0016
5^3= 125
Step-by-step explanation:
please help me with this wuiz
Answer: Distribute the 10
Step-by-step explanation: PEMDAS (p is parentheses)
Leo the Rabbit
Leo the Rabbit is climbing up a flight of 10 steps. Leo can only hop up 1 or 2 steps each time he hops. He never hops down, only up. How many different ways can Leo hop up the flight of 10 steps? Provide evidence to justify your thinking.
Can someone provide an answer and explain. Thanks
Answer:
2?
Step-by-step explanation: because he can hop them one step at a time or two steps at a time
Find the slope when give. the following points : (1,6) and (3,-4)
Answer:
y = -5x + 11
Step-by-step explanation:
Slope (m) =
ΔY
ΔX=
-5
1
= -5
θ =
arctan( ΔY ) + 360°
ΔX
= 281.30993247402°
ΔX = 3 – 1 = 2
ΔY = -4 – 6 = -10
Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186
Select each polynomial expression that could be factored by grouping.
Answer:
The 2nd and 3rd option
Step-by-step explanation:
They can be separated into 2 pairs and factored
distribute then solve two-step = to get z
4(2z-5)=-4
x = 2
Step-by-step explanation:
math lol
I'm truly deeply sorry if its wrong :'))
Answer:
z = 2
Step-by-step explanation:
Given
4(2z - 5) = - 4 ← distribute parenthesis on left side by 4
8z - 20 = - 4 ( add 20 to both sides )
8z = 16 ( divide both sides by 8 )
z = 2
plz help me with this i do not understand math stuff
Answer: Pink choice: y= -6x -2
Step-by-step explanation:
In order to be parallel, the slope must be the same. You find the slope as the number or fraction connected to x. ("co-efficient" of x in math talk)
In the given equation, that is -6. (So that knocks out the first two choices)
The other thing to look at is the y-value of the given coordinate,(-1,4)
(The y-value is the second number in the coordinate (x.y) is the pattern)
and compare it to the the last number in the equations in the choices and Here the Yellow choice has y= -6x + 4 so this line can't pass through the coordinate given, because +4 in this equation is where the line crosses the y-axis. ("y-intercept" in math talk) So yellow choice is out!
The attachment shows what the graphs of the choices look like.
The black line is the correct answer. The given coordinate (-1,4) is the labeled red spot. The blue line is the given equation. (You can see where it "intercepts the y-axis on the +3) And the green line also has the -6 slope, but misses the point and intercepts the y-axis at 4.)
I hope the diagram and explanation helps you understand better. It can be confusing.
I WILL GIVE 30 POINTS PLEASE Sinorice put $7.200 in a savings account that pays 3.295 interest compounded annually.
After 3 years, he deposited another $5.000 in the account. What is the value of the account
after 8 years?
A $14 98240
B $15.116.25
C $15.596.30
D $16.073.60
In eight minutes, Josh was able to type 496 words. What’s his typing speed in words per minute?
Answer:
62 words/minute
Step-by-step explanation:
496 words divided by 8 minutes= 62 words in one minute
help show work
assig 8
(a)solve the inequality
(b)graph the solution on the real number line.
(c)write the solution in interval notation.
29
30
31
32
33
Answer: see below
Step-by-step explanation:
29) -5x ≥ 30
÷ -5 ↓ ÷ -5
x ≤ -6
Graph: ←--------- ·
-6
Interval Notation: (-∞, 6]
30) -4x < -40
÷ -4 ↓ ÷ -4
x > 10
Graph: o---------→
10
Interval Notation: (10, ∞)
31) 2x - 5 ≥ -11
+5 +5
2x ≥ -6
÷ 2 ÷ 2
x ≥ -3
Graph: · ---------→
-3
Interval Notation: [-3, ∞)
32) 8 - 3x > 20
-8 -8
-3x > 12
÷ -3 ↓ ÷ -3
x < -4
Graph: ←---------o
-4
Interval Notation: (-∞, -4)
33) 4x - 11 < 7x + 4
-7x -7x
-3x - 11 < 4
+ 11 +11
-3x < 15
÷ -3 ↓ ÷ -3
x > -5
Graph: o---------→
-5
Interval Notation: (-5, ∞)
HELP!!!!! what is the axis of symmetry for the graph of y-4x=7-x^2
A.x=2
B.y=2
C.x=11
D.y=11
DUE TODAY AT 12! PLS HELP ALGEBRA WILL GIVE BRAINLIEST!
Answer:
Im gonna go with b not 100% tho
Step-by-step explanation:
Using the numbers -4, 10, 8, 2, -3, -5, create an expressions that equals to 6.
Answer:
10+(-4)=6
Step-by-step explanation:
Answer:
-4 + 10
Step-by-step explanation:
Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and each group of 3 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there? gr4ch02l09pg08451 There were adults including Mr. Torres.
Answer:
There were 4 adults; including Mr. Torres
Step-by-step explanation:
- Each row in the stadium had 9 seats
- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)
- The arrangement of the students and the adults who sat with them on same row is: A S S S A S S S A
1 2 3 4 5 6 7 8 9
since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.
So the total number of adults that were present = 3 + 1 = 4
Which equation represents the graphed function?
A. -3x+2=y
B. -2/3x+2=y
C. 3/2x-3=y
D. 2x-3=y
Plz help me I am taking the unit test on edge
Answer:
try c, i took the test as well its either that or b
Step-by-step explanation:
Answer:
I'm pretty sure the answer is D
Which coordinate notation matches the description?:
3 units left and 5 units down
O (x+3y-5)
O (X-3.y-5)
O (x+3.y+5)
O (X-3.y+5)
Answer: The last one
Step-by-step explanation:
3 units left would be -3 and 5 units down would be +5
I need help please and thank you
Answer:#7 is 20%. #8 is 67.5 people
Step-by-step explanation: For #7 you would just divine 14/70 to get .20 converted to a percentage is 20%. For #8 you would convert 37.5% to a decimal of .375 and multiply that to 180 people to get the answer of 67.5 people.
7. Evaluate the following expression for n = 4.
2n? - 8
Simply replace n with 4 and do the math.
2n - 8
Let n = 4
2(4) - 8
8 - 8 = 0
Answer: 0
Select all that apply.
Which decimals in the list are repeating decimals?
5/6
4/15
3/5
1 3/4
1/3
4/1,000
Answer:
5/6 4/15 1/3
Step-by-step explanation:
the answers are above
Answer:
the repeating decimals are in 5/6 4/15 1/3
Step-by-step explanation:
to find them you would just divide them for example 5/6, you would divide the 5 by the 6
Does 2 times 36 equal 3 times 24
Answer:
Yes
Step-by-step explanation:
[tex]2 * 36 = 72\\ 3 * 24 = 72[/tex]
Answer:
Yes.
Step-by-step explanation:
2 times 36 = 72 and 3 times 24 = 72
Hope this helped! ^-^
ILL MARK BRAINLIST IF YOU GET IT RIGHT .which expression is equivalent to s - t?
Answer:
s(6)×t(6)
hope this helps
The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles.
Which measurement is closest to the number of miles between these two towns?
Answer:
45miles.
Step-by-step explanation:
If 8km = 5miles
hence the number of miles between the two towns = 120/8 × 5
= 15 × 5
= 45miles.
Answer:
75 mi
Step-by-step explanation:
120/8=15
15x5=75 mi
If you divided $63.65 evenly among five children, how much would each
child get?
Answer$12.73
Step-by-step explanation:
$63.65/5(children) = $12.73
Answer:
$12.73
Step-by-step explanation:
$63.65/5=$12.73
please help me!!!!!!!!!!!!