Answer:
A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Step-by-step explanation:
The shape of the quadratic equation representing the large cables is a parabola
Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;
h = -b/(2·a)
∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0
k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c
∴ c = 1.5
The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;
f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5
At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45
Therefore, we have;
45 = a·506² + 1.5
a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴
The quadratic equation for the large cables, f(x), can therefore be presented as follows;
[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
PLSSSSSSSSSS URGENT I NEED HELP!!!
The diagram shows the graph of y = ax + b. Find the values of a and b *
Answer:
The values of a and b are:
a = 2b = 2Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = ax+b
where
a is the slopeb is the y-interceptFrom the diagram of the line graph, we can fetch the two points
(0, 2)(-1, 0)Determining the slope between (0, 2) and (-1, 0)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)[/tex]
[tex]a=\frac{0-2}{-1-0}[/tex]
[tex]a=2[/tex]
Thus, the value of a = 2
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting a = 2 and b = 2 in the slope-intercept form of the line equation
y = ax+b
y = 2x + 2 ∵ a = 2 , b = 2
Thus, the line of equation is:
y = 2x+2
now comparing with y = ax+b
Here:
a = 2
b = 2
Therefore, the values of a and b are:
a = 2b = 2Which equation describes the line with slope 5 that contains the point (-2,4)?
A. y= 5x +4
B. y = 5x-22
C. y - 5x + 14
D. y = 5x-2
Answer:
C. y=5x+14
Step-by-step explanation:
Solve using this formula: y=mx+b
4 = (5) (-2) + b
4 = -10 + b
+10 +10
14 = b
Then you will plug in what you found for b in:
y=5x+14
Part ?? of i need these
Answer:
You already have the answer so ima just get the points
Have a good night
9. If y varies directly with x and y = -3 when x = 6, find y when x = 14.
14 -
10. If y is directly proportional to x and y = 4 when x = 3, find x when y = -12.
11. If y varies directly with x and y = -6 when x = 2, find the constant of variation.
please help
i will give brainliest
9)
If y varies directly with x and y = -3 when x = 6, find y when x = 14.
We know if y varies directly with x, we get the equation
y ∝ x
y = kx
k = y/x
where k is called the constant of variation.
we are given y = -3 when x = 6
so substitute y = -3 and x = 6 to determine 'k'
k = y/x
k = -3/6 = -1/2
Now we have to find y when x = 14
so substituting x = 14 and k = -1/2 to find y
y = kx
y = -1/2 × 14 = -7
Therefore, the value of y = -7 when x = 14
10) If y is directly proportional to x and y = 4 when x = 3, find x when y = -12.
we are given y = 4 when x = 3
so substitute y = 4 and x = 3 to determine 'k'
k = y/x
k = 4/3
Now we have to find x when y = -12
so substituting y = -12 and k = 4/3 to find x
y = kx
x = y/k
x = [-12] / [4/3] = [-12×3] / [4]
x = -36/4
x = -9
Therefore, the value of x = -9 when x = 3
11)
If y varies directly with x and y = -6 when x = 2, find the constant of variation.
We are given
y = -6
x = 2
so substitute y = -6 and x = 2 in the equation
k = y/x
k = -6/2
k = -3
Therefore, the value of the constant of variation will be:
k = -3Solve for n.
-53 + n = -28
A. -35
B. 25
C. -25
D. 35
Answer:
B. 25
Just use Photomath in those questions
Answer:
B) N=25
Step-by-step explanation:
the distance between -53 and -28 is positive 25
Tameka pilots a hot air balloon. She lowers the balloon
five times, going down an equal distance each time. In
all, Tameka lowers the balloon 75 m.
What integer represents the change in the hot air
balloon’s elevation each time Tameka lowers it?
What does this integer tell you?
Answer:
15 m
Step-by-step explanation:
Given that :
Change in distance is the same each time Ballon is lowered ;
Number of times Ballon is lowered = 5 times ;
Total change in distance = 75 m
Change in distance per time lowered equals ;
(Total change in elevation / Numbe rof times Ballon is lowered)
75m / 5
= 15 m
Hence, Ballon height changes by 15 m each time it is lowered.
The integer gives the lowering rate.
pleaseee help meee will give brainliest or whateva
Answer:
The value of x = 12.
Step-by-step explanation:
We know that two angles are termed as supplementary when the sum of the measure of their angles is 180°.
We also know that a straight line angle measures 180°.
It is clear that the angles 72° and 9x° line on a straight line. Thus, the sum of the measure of their angles is 180°.
Therefore,
9x° + 72° = 180°
9x° = 180° - 72°
9x° = 108
divide both sides by 9
9x/9 = 108/9
x = 12
Therefore, the value of x = 12.
f(n) = 4n +3
g(n) = 3n²+2
Find f(n) - g(n)
help lol
Answer:
[tex](4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = - 3 {n }^{2} + 4n + 1 \\ ( - 3 {n}^{2} - 3n) - (1n + 1) \\ - 3n(n + 1) - 1(n + 1) \\ (n + 1)( - 3n - 1) \\ n = - 1 \\ n= \frac{1}{ - 3} [/tex]
Answer:
[tex]f(n) - g(n) = (4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = \boxed{4n - 3 {n}^{2} + 1}[/tex]
(4n²-3n+1) is the right answer.HELP PLEASE I WILL MARK BRAINLIEST
Which statement is a refusal strategy?
O "I will try it once, but that's it."
"I like to use a different brand."
O "My parents will be very disappointed in me."
O "My friends and I prefer weed to what you are using."
(Posting this in math so people see it)
Answer:
2.) "My parents will be very disappointed in me."
Step-by-step explanation:
This is the only explanation that will get you out of any bad situations.
1.) I'll try it once: if you try it once, you'll be hooked on it forever.
2.) Correct answer: Only way to get out of a situation like this affectively.
3.) My friends and I prefer weed: This would still suggest you still use drugs.
(I think it's smart to post it in math! :)
Which triangle is both scalene and right?
PLZ HELP NEED IT ASAP
HELP FAST I'LL MARK YOU BRAINLIEST What is an equation of the line that passes through the point (−2, 3) and is perpendicular to the line whose equation is y = 3/2( x ) − 4?
Answer: y = -2/3x + 5/3
Step-by-step explanation:
The slope of a perpendicular line is opposite reciprocal --> -2/3Using point given (-2, 3), find b.3 = -2(-2/3) + b3 = 4/3 +b5/3 = bFind the y intercept of the graph
Answer:
i believe the y intersept is -4
y = 1^2-2x+4
find y pls
Answer:
y = − 2 x + 5
Step-by-step explanation:
Try this
Answer:
y = −2x+5
Step-by-step explanation:
lmk if you need to see the work shown
li can walk 2 miles in 45 minuets. At the rate,how far can she walk in 135
Answer:
6 miles
Step-by-step explanation:
Li can walk 6 miles if you divide 135 and 45 you'll get 3 finally if you multiply 2 and 3 you'll get 6 So in total Li walks 6 miles
Jeff, Lauren, and Sarah finished their meal, and their total for the three dinners before tax was $21.65. If the tax on their meal was 8.5%, how much was the total cost of their meal with tax? Round to the nearest hundreth.
Answer: The total cost of their meal with tax= $23.49
Step-by-step explanation:
Given: Cost of the three dinners before tax = $21.65
Tax = 8.5%
Tax amount = 8.5% of ( Cost of the three dinners before tax)
= (0.085) x 21.65 [0.085 = 8.5%]
= $1.84025 ≈ $ 1.84
The total cost of their meal with tax = Cost + Tax amount
= 21.65 + 1.84
= $23.49
Hence, the total cost of their meal with tax= $23.49
I need the angle of elevation
Answer:
multiply and see what you get
HELP NEEDED Please emergency help :)
Answer:
See below.
Step-by-step explanation:
a. Geometric
b. Arithmetic
c. Neither
d. +4
e. 5
f. 2, 4, 6, 8
g. 2, 4, 8, 16
1) Click on the measurement that is equal to 24 kilograms.
+) 240 grams
2,400 grams
24,000 grams
240,000 grams
Answer:
24,000
Step-by-step explanation:
Answer:
24,000
Step-by-step explanation:
Every kilogram is 1,000 grams
pls help ASAP best answer gets brainlest
Answer:
F
Step-by-step explanation:
Square root of 10 is 3.16
* URGENT * Given f(x) = 6(2-x), what is the value of f(-8)?
open ended question
Answer:
f(-8) = 60Step-by-step explanation:
When we are given a function in this format, we substitute the x value in the equation. F(x) is simply another way of saying y.
if x = -8
6 (2 - -8)
6(10)
60
f(-8) = 6060 points! Will mark brainliest! I only want the correct answer please. Random answers will be reported
Answer:
First Option: y = 1/2x + 8
Step-by-step explanation:
for lines to be parallel they must have the same slopes
18.
Can someone help me with this?
Answer: A
Step-by-step explanation:
Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more
than Amari, and DJ collected $15.60 less than Kobe.
If x = the amount raised by Amari, choose the expressions that represent the amount
each other player raised.
Answer:
x+8.95 and x+24.55
Step-by-step explanation:
im not going to do this
Am I the only one here that is having a huge problem with Geometry?
Answer:
18y+30y+14y+150°+142=540
62y+292=540
subtract 292 from both sides
62y= 248
divide 62
y=4°
Are these correct?? I need help quick!!!
Answer:
No, it is A for the first question and C for the last one
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
1/9= .111111111111 repeating
HELP ASAP!! I WILL MARK BRAINLIEST!! Write an equation for the graph.
Answer:
y = 7/4x
Step-by-step explanation:
All you have to do is find the slope by using the formula change in y divided by change in x of the two points. You can see that y goes up by 14 when x goes up by 8. This means that the slope is 14/8, or 7/4.
The equation would then be y = 7/4x
Jaylen's family has completed 30% of a trip. They have traveled 33 miles. How far is the
trip?
Use a t-chart, double number line diagram, tape diagram or fraction strategy to help.
Answer:
[tex] \frac{30}{100} = \frac{33}{x} \\ 30x = 3300 \\ x = \frac{3300}{30} = 110[/tex]
find f(-10) f(x)=7x-5
Answer:
f(-10) = -75Step-by-step explanation:
F(x) is simply another way of saying y. We are given the x value of -10. We can substitute this in for x and find y.
f(-10) = 7(-10) - 5
f(-10) = -70 - 5
f(-10) = -75
Answer:
Rewrite the equation in term of
x
and
y
.
f
(
x
)
=
2
x
2
−
7
x
+
5
Rewrite the equation in vertex form.
Tap for fewer steps...
Complete the square for
2
x
2
−
7
x
+
5
.
Tap for more steps...
2
(
x
−
7
4
)
2
−
9
8
Set
y
equal to the new right side.
y
=
2
(
x
−
7
4
)
2
−
9
8
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
2
h
=
7
4
k
=
−
9
8
Find the vertex
(
h
,
k
)
.
(
7
4
,
−
9
8
)
Step-by-step explanation:
Y+4=-6(x+6) what is the answer
Answer:
y+4+−4=−6x−36+−4
y=−6x−40
y=−6x−40
slope is -6
y intercept is -40
Answer:
y = -6x - 40
in standard form its:
y + 6x = -40
Step-by-step explanation: