Answers
Answer:
The answer is graph B
Step-by-step explanation:
Linear relationships mean that the lines on the graphs would be a straight line with a slope. But if the line were to be zigzagging like I'm graph B that means it's not a linear equation, doesn't have a linear relationship, or a linear graph. Hope this helps!
Related Questions
x + 3/5=2 solve this... please thanks
Answers
Answer:x=7/5 or 1 2/5
Step-by-step explanation:
x + 3/5=2
Step 1: Subtract 3/5 from both sides.
X+3/5-3/5=2-3/5
X=7/5
Answer:
7/5 or 1 2/5
Step-by-step explanation:
[tex]x+\dfrac{3}{5}=2 \\\\\\x=2-\dfrac{3}{5} \\\\\\x=\dfrac{10}{5}-\dfrac{3}{5} \\\\\\x=\dfrac{7}{5}= 1\dfrac{2}{5}[/tex]
Hope this helps!
The longest runway at an airport has the shape of a rectangle and an area of 2 comma 312 comma 300 square feet. This runway is 190 feet wide. How long is the runway?
Answers
Answer:
L= 12170 ft
Step-by-step explanation:
The runaway at the airport has the shape of a rectangle and the area of 2,312,300 ft². The rectangular runaway is 190 ft wide . The length is what we are asked to find.
area of a rectangle = LW
Where
L = length
W = width
area of a rectangle = LW
area of the rectangular runaway = 2,312,300 ft²
W = 190 ft
L = ?
2,312,300 = L × 190
2,312,300 = 190L
divide both sides by 190
L = 2,312,300/190
L= 12170 ft
Which equation represents a proportional relationship that has a constant of proportionality equal to 0.7?
Answers
Answer:
its a on edge
Step-by-step explanation:
What is the answer ?
Answers
Answer:
a rational number
Step-by-step explanation:
a rational number + a rational number will always be a rational number.
Simplify 11(2x + 3).Simplify 8(3 - 2x)
Answers
Answer:
1. 22x+33
2.24-16x
Step-by-step explanation:
Use the distributive property to multiply the variables
(2x times 11)plus (three times 11)
(8 times 3)plus(eight times -2x)
Hi can anybody explain to me how to do this I'm kinda confused . 5×[5(-7)]
Answers
Answer:
5 × [5(-7)]
= 5 × (-35) ---- 5 × (-7) = -35
= -175
у = 3х +8
What is the x-intercept?
Answers
Answer:
-8/3
Step-by-step explanation:
To solve for x-intercept, we set y as 0.
0 = 3x + 8
-8 = 3x
-8/3 = x
The x-intercept of the line is -8/3.
Answer:
Brainliest!!!
Step-by-step explanation:
Which of the following functions best describes this graph?
A. y = x2 + x - 12
B. y = x2 + 9x+18
C. y = x2 - 9x+18
D. y = x2 - 5x + 6
Answers
Answer:
the answer is C
Step-by-step explanation:
from the graph , u can find out the roots that is 3 and 6. so when u factorize the equation in C, u will get the same roots as in the graph
What shape best describes the cross section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Square Rectangle
Answers
Answer:
Rectangle.
Step-by-step explanation:
The 2 dimensional section would be a rectangle.
Answer:
rectangle
Step-by-step explanation:
D) (K
If f(x) = x3 and g(x) = 2x + 7, what is g(x)
when x = 2?
Answers
Answer:
11
Step-by-step explanation:
g(x) = 2x + 7
Put x as 2 and evaluate.
g(2) = 2(2) + 7
Multiply.
g(2) = 4 + 7
Add the terms.
g(2) = 11
How do you write this quadratic equation using substitution
Answers
Answer:
u^2 +7u -8=0 where u = 3x+2
Step-by-step explanation:
(3x+2)^2 + 7(3x+2) - 8=0
Let 3x+2 = u
u^2 +7u -8=0
What is the answer to this?
Answers
Answer:
it's answer is
125+25+5+1
Solve the equation 4x2 – 27x – 5 = –10x to the nearest tenth.
Answers
A water balloon is tossed vertically from a window at an initial height (s-sub zero) of 37 feet and with an initial velocity(v-subzero) of 41 feet per second. Answer the following using the fact that h(t)=-16T^2+v-sub zer0t+s sub zero. a) Determine a formula, h)t), for the function that models the height of the water balloon at time t . b)Plot the function in Desmos in an appropriate window. Use the graph to estimate the time the water balloon lands c)Use algebra to find the exact time the water balloon lands. Show your work. No decimals in your answer. d)Determine the exact time the water balloon reaches its highest point and its height at that time. e)4 pts] Compute the average rate of change of on the intervals . Include units on your answers and write a sentence to explain the meaning of the values you found. Arc{1.5,2}____________________________. Explanation: Arc{2,2.5}____________________________. Explanation: årc{2.5,3}____________________________. Explanation:
Answers
Answer:
a) h(t) = -16t^2 +41t +37
b) see attached (3.270 seconds)
c) (41+√4049)/32 seconds
d) 1.28125 seconds; 63.265625 feet
e) [1.5, 2]: -15; [2, 2.5]: -31; [2.5, 3]: -47
Step-by-step explanation:
a) The formula and initial values are given. Putting those values into the formula, we get ...
h(t) = -16t^2 +41t +37
__
b) The graph is attached. It shows the t-intercept to be about 3.270 seconds.
__
c) Using the quadratic formula, we can find the landing time as ...
[tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-41\pm\sqrt{41^2-4(-16)(37)}}{2(-16)}\\\\=\dfrac{41\pm\sqrt{4049}}{32}\qquad\text{only $t>0$ is useful}[/tex]
The exact landing time is (41+√4049)/32 seconds.
__
d) The highest point is at t=-b/(2a) = -41/(2(-16)) = 41/32 seconds.
The value of the function at that point is ...
h(41/32) = (-16(41/32) +41)(41/32) +37 = 41^2/64 +37 = 4049/64
The maximum height is 4049/64 = 63.265625 feet.
__
e) For a quadratic function, that average rate of change on an interval is the derivative at the midpoint of the interval. Here, the derivative is ...
h'(t) = -32t +41 . . . in feet per second
Then the average rates of change are ...
arc[1.5, 2] = h'(1.75) = -32·1.75 +41 = -15 ft/s
arc[2, 2.5] = h'(2.25) = -32(2.25) +41 = -31 ft/s
arc[2.5, 3] = h'(2.75) = -32(2.75) +41 = -47 ft/s
These are the average velocity of the water balloon over the given interval(s) in ft/s. Negative indicates downward.
Answer:
(a) h(t) = -16t² + 41t + 37
(b) About 3.3 s
[tex]\large \boxed{\text{(c) }\dfrac{41+ \sqrt{4049}}{32}\text{ s}}[/tex]
(d) -15 ft/s; -31 ft/s; -47 ft/s
Step-by-step explanation:
(a) The function
h(t) = -16t² + v₀t + s₀
v₀ = 41 ft·s⁻¹
s₀ = 37 ft
The function is
h(t) = -16t² + 41t + 37
(b) The graph
See Fig. 1.
It looks like the water balloon lands after about 3.3 s.
(c) Time of landing
h = -16t² + 41t + 37
a = -16; b = 41; c = 37
We can use the quadratic formula to solve the equation:
[tex]h = \dfrac{-b\pm\sqrt{b^2 - 4ac}}{2a} = \dfrac{-b\pm\sqrt{D}}{2a}[/tex]
(i) Evaluate the discriminant D
D = b² - 4ac = 41² - 4(-16) × 37 = 1681 + 2368 = 4049
(ii) Solve for t
[tex]\begin{array}{rcl}h& = & \dfrac{-b\pm\sqrt{D}}{2a}\\\\ & = & \dfrac{-41\pm\sqrt{4049}}{2(-16)}\\\\ & = & \dfrac{41\pm\sqrt{4049}}{32}\\\\t = \dfrac{41- \sqrt{4049}}{32}&\qquad& t = \dfrac{41+ \sqrt{4049}}{32}\\\\\end{array}\\[/tex]
[tex]\text{The water balloon will land after $\large \boxed{\mathbf{\dfrac{41+ \sqrt{4049}}{32}}\textbf{ s}} $}[/tex]
(d) Time and maximum height
(i) Time
The axis of symmetry (time of maximum height) is at t = -b/(2a)
[tex]t = \dfrac{-41}{2(-16)} = \dfrac{41}{32} = \textbf{1.281 s}[/tex]
(ii) Maximum height
The vertex is at y = h(1.281) = h(t) = -16(1.281)² + 41(1.281) + 37 = 63.27 ft
(e) Average rate of change
(i) Arc{1.5,2}
h(1.5) = 62.5
h(2) = 55
m = (h₂ - h₁)/(t₂ - t₁) = (55 - 62.5)/(2 - 1.5) = -7.5/0.5 = -15 ft/s
The water balloon has started to fall after it has reached peak height, so it is not going very fast
(ii) Arc{2,2.5}
h(2.5) =39.5
m = (39.5 - 55)/(2 - 1.5) = -15.5/0.5 = -31 ft/s
The balloon is in mid-fall, so gravity has caused it to speed up.
(iii) Arc{2.5,3}
h(3) = 16
m = (16 - 39.5)/(2 - 1.5) = -23.5/0.5 = -47 ft/s
The balloon is about to hit the ground, so it is falling at almost its maximum velocity.
Fig. 2 shows the height of the balloon at the above times.
Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B.
Answers
Answer:
The slope of the line is: [tex]\frac{-1}{6}[/tex]
The midpoint is located in (1, 8.5)
The distance between the points is 2.236
Step-by-step explanation:
The slope of the line can be calculated by:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8-9}{4+2} = \frac{-1}{6}[/tex]
The midpoint can be calculated by:
[tex]midpoint = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})\\midpoint = (\frac{-2 + 4}{2}, \frac{9 + 8}{2})\\midpoint = (1, 8.5)[/tex]
The distance between two points is:
[tex]distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\distance = \sqrt{(-4+2)^2 + (8 - 9)^2}\\distance = \sqrt{(-2)^2 + (-1)^2}\\distance = \sqrt{4 + 1} = \sqrt{5} = 2.236[/tex]
what is the basic trigonometric identity you would use to verify that sec x sin x= tan x
Answers
secx=1/cosx
1. To solve this problem you must apply the following proccedure:
2. You have to verify if secx sinx=tanx, so, you have:
3. You know that secx=1/cosx, and tanx=sinx/cosx, therefore:
(secx)(sinx)
(1/cosx)(sinx)
sinx/cosx
tanx
Answer:
The answer is B. on edge
Step-by-step explanation:
Find the value of x.
Answers
Answer:
x= 42
Step-by-step explanation:
(2x +1)°= 85° (vert. opp. ∠s)
2x +1= 85
2x= 85 -1 (bring constant to 1 side)
2x= 84 (simplify)
x= 84 ÷2
x= 42
Find the equation of a line that passes through the point (3,2) and has a gradient of - 1/3
Leave your answer in the form y=mx + c
Answers
Answer:
y = -1/3x +3
Step-by-step explanation:
When given a point and slope, it is convenient to start with a point-slope form of the equation of a line.
y = m(x -h) +k . . . . . line with slope m through point (h, k)
y = (-1/3)(x -3) +2 . . . line with slope -1/3 through point (3, 2)
y = -1/3x +3 . . . . . . . simplified to slope-intercept form
Evaluate the expression \dfrac{7^2}{x^2-2} x 2 −2 7 2 start fraction, 7, squared, divided by, x, squared, minus, 2, end fraction for x=3x=3x, equals, 3
Answers
Answer:
7
Step-by-step explanation:
We want to evaluate the fraction below for x = 3. We will put the value of x to be 3:
[tex]\dfrac{7^2}{x^2-2}\\\\= \dfrac{7^2}{3^2-2}\\\\= \dfrac{49}{9-2}\\\\= \dfrac{49}{7} = 7[/tex]
The answer is 7.
Answer:
7Step-by-step explanation:
goodluck khan academy users
POQ is a straight line .The adjacent angles are three consecutive numbers. what are the measure of the angle
Answers
if they make one straight line
a straight line is 180°
AC answers are
18.7
15.5
14.3
13.1
Answers
[tex]AB=8.391[/tex]
[tex]AC=13.05407[/tex]
Answer:
AB =8.4
AC = 13.1
Step-by-step explanation:
Use SOH CAH TOA, which means Sin= Opposite/Hypotenuse, Cosine= Adjacent/Hypotenuse, and Tangent= Opposite/Hypotenuse.
AB is the opposite compared to the angle, BC is the adjacent compared to the angle, and AC is the hypotenuse.
Write down what you know in the formulas:
theta = 40 degrees
BC = adjacent = 10
Plug them in to solve what you need:
AB is opposite, so use the tangent equation:
tangent (40 degrees) = AB / 10
AB =8.4
AC is the hypotenuse, so use the cosine equation:
cosine (40 degrees) = 10 / AC
AC = 13.1
factorize 5n - mp - 5n + pn in a an algebra expression
pls I need it now... I would mark you as brainliest
Answers
Answer:
5n and -5n cancel so we're left with -mp + pn which can be factored to p(-m + n).
There are 8 times as many males as females on the maths course at university. What fraction of the course are female? Give your answer in its simplest form.
Answers
Answer:
⅑
Step-by-step explanation:
Let m represents number of males, and f represents number of females taking the maths course.
Given that number of males (m) taking the maths course is 8 times as much as number of females (f), total number of students taking the maths course (T).
Thus we can represent the information above with the following:
m = no. of males
f = no. of females
T = Total
m = 8f
T = m + f
Thus,
Total = 8f + f = 9f
==>The fraction of the course that are females = No. of females (f) ÷ Total no. of students (T)
= f/9f
Fraction of females in simplified form would be ⅑
Can you please help !!!
Answers
Answer:
19) x=-3, 20) a=1, 21) b=3, 22) x=8
Step-by-step explanation:
hope that helps, those are the answeres to each question. :)))
Answer:
Step-by-step explanation:
Chef Daniel had 431 ounces of chocolate frosting in his refrigerator. It takes 8 ounces of frosting to frost one cupcake. How many cupcakes can he frost
Answers
Answer:
53 cupcakes
Step-by-step explanation:
Take the amount of frosting and divide by the amount needed per cupcake
431/8
53.875
We round down since we cannot frost part of a cupcake
53 cupcakes
Answer:
53 cupcakes
Step-by-step explanation:
He has a total of 431 ounces and each cupcake needs 8 ounces of frosting. Therefore can divide the total amount of frosting (431 ounces) by the amount per cupcake (8 ounces)
total amount/ amount per cupcake
431 ounces/8 ounces
431/8
53.875
0.875, or a fraction/part of a cupcake can’t be frosted, so we should round down to the nearest whole number.
53
He can frost 53 cupcakes.
PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!
Answers
Answer:
11 is the answer
Step-by-step explanation: i hope so cuz my calculations gives this answer
Brandee makes an hourly wage. In the last pay period, she earned $800 for regular hours and $240 for overtime hours. Her overtime rate of pay is 50% more than her regular rate of pay "r". Write and simplify an expression in terms of "r" that represents the number of hours "h" Brandee worked in the pay period. Show your work.
Answers
Step-by-step explanation:
Overtime rate= r+50%= 1.5r
Regular hours= 800/r
Overtime hours= 240/1.5r
Total hours worked
h=800/r+240/1.5rh= 800/r+160/rh=960/rr=960/hWhat is the value of the power a if 5^a = 1/125
Answers
Answer:
a = -3
Step-by-step explanation:
5^a = 1/125
The fraction 1/125 can be written as a power with base 5.
5^a = 5^(-3)
Cancel the same bases on both sides.
a = -3
Answer:
a = -3.
Step-by-step explanation:
5^a = 1/125
1/125 = 1 / 5^3
= 5^-3
5^a = 5^-3
so a = -3.
What is the value of x ?
A.285˚
B.105˚
C.75˚
D.15˚
Answers
Answer:
D
Step-by-step explanation:
The angle between the vertical and horizontal line is 90°, thus
75° + x = 90° ( subtract 75 from both sides )
x = 15° → D
Z^5=-7776i
Find the solution of the following equation whose argument is strictly between 270 and 360 degrees
Answers
Answer:
Z=+6
Step-by-step explanation:
Z^5=-7776i
Let's note that i I mathematics means negative one i.e
i = -1
So the equation is equal to
Z^5=-*-(7776)
Z^5 = 7776
Z= 5√7776
Since it's a divisible by 6
It's giving us a clue that 6 it's the answer.
Ok let's check the 5th root of 7776 in our calculator.
Z=+6
+6 is the solution to the equation
Z^5=-7776i