By rewriting the linear function we will see that the correct option is A.
"an increasing line that passes through (0, 4)"
Which statement describes the graph?
Here we have the linear function:
2y = 4x + 8
We can rewrite it to get the function in the slope-intercept form:
y = (4x + 8)/2
y = 2x + 4.
So, the slope is positive, this implies that we will have an increasing line.
We also can see that the y-intecept is 4, this means that the line passes through the point (0, 4).
From that, we can conclude that the correct option is A.
If you want to learn more about linear functions, you can read:
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For the function defined here, find
Answer:
f(0) = 2f(1) = 3f(2) = -2Step-by-step explanation:
The function value is the y-coordinate of the point having the given x-value.
f(0) = 2f(1) = 3f(2) = -2Which one is it?
A, B, C, or D?
Answer: I'd go with C
Step-by-step explanation:
What method would you choose to solve the
equation 2x- - 7 = 9? Explain why you chose this
method.
Answer:
2x2 - 7 = 9
Step-by-step explanation:
The factoring method can be chosen to solve the equation 2x2 - 7 = 9. It is one of the easiest methods as we can isolate the variable by factoring out the GCF and obtaining the values.
Hope it helps!!!brainliest pls!!!
Find the slant height of this square pyramid Round to the neatest 10th
Answer: 21.9
Step-by-step explanation:
-Use Pythagoras theorem-
To find hypotenuse: square root 15 squared plus 16 squared
= 21.9
WILL MARK BRAINLIEST Solve the following problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. b Given: FD ⊥ AB ∠A ≅ ∠B Prove: ∠F ≅∠CEF
Answer:
AED congruent to FEC
Step-by-step explanation:
If you look closely, BOth of the angles are vertical.
what is 44:20 = ?:5 ?
Answer:
11:5Step-by-step explanation:
[tex]44:20[/tex]
Cancel common factor : 4
[tex]44 \div 4 = 11 \\ 20 \div 4 = 5 \\ 11:5[/tex]
The ratios are 44:20=11:5
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The given ratios are 44:20 = ?:5
we have to find the number in question mark place.
Let question mark be taken as x.
The ratios can be written in the form of fraction
44/20=x/5
Apply cross multiplication
44×5=20x
220=20x
Divide both sides by 20
x=220/20
x=11
Hence, the ratios are 44:20=11:5
To learn more on Ratios click:
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What is the area of the region in the first quadrant bounded on the left by the graph of x=y^2/2 and on the right by the graph of x=3y−4 for 2≤y≤4 ?
The area of the region is -2/3 square units
The area bounded by the regionSince the region is bounded on the left by x = y²/2 and on the right by x = 3y - 4 for 2 ≤ y ≤ 4, the area of the region is given by
[tex]A = \int\limits^4_2 {\frac{y^{2}}{2} } \, dy - \int\limits^4_2 {(3y - 4)} \, dy \\[/tex]
Integrating, we have
A = [y³/6]₂⁴ - [3y²/2 - 4y]₂⁴
A = [4³/6 - 2³/6] - [3(4)²/2 - 4(4) - {3(2)²/2 - 4(2)]}]
A = [64/6 - 8/6] - [3(16)/2 - 16 - {3(4)/2 - 8]}]
A = [64/6 - 8/6] - [3(16)/2 - 16 - {3(4)/2 - 8]}]
A = [64/6 - 8/6] - [3(8) - 16 - {3(2) - 8]}]
A = [(64 - 8)/6] - [3(8) - 16 - {3(2) - 8]}]
A = [56/6] - [24 - 16 - {6 - 8}]
A = [56/6] - [8 - {-2}]
A = [56/6] - [8 + 2]
A = [56/6] - [10]
A = 56/6 - 10
Taking the L.C.M, we have
A = (56 - 10 × 6)/6
A = (56 - 60)/6
A = -4/6
A = -2/3 square units
So, the area of the region is -2/3 square units
Find the graph in the attachment
Learn more about area bounded by region here:
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Frank can mow lawns at a constant rate of 6/5 lawns per hour. How many lawns can Frank mow in 50 hours?
Answer:
60 lawns
Step-by-step explanation
6/5 lawns per hour times 50 hours = 60 lawns.
rate x time
The function f is defined by f(x)=x-2 . Find f(z-5) .
f(z-5)=z-5-2
f(z-5)=z-9
An angle measures 70° more than the measure of its complementary angle. What is the measure of each angle?
Step-by-step explanation:
Let an angle = x
x= 70+(90-x)
x= 160-x
2x=160
x=80
So angle is 80 and it's complementary angle would be 10
Answer:
55∘ and 125∘
Step-by-step explanation:
Supplementary angles sum to
180∘
let one angle be [tex]x[/tex]
then the other angle is [tex]x+70[/tex]
summing the 2 angles gives
[tex]x+x+7=180[/tex]
[tex]2x+70=180[/tex]
subtract 70 from both sides
[tex]2x=180 -70=110[/tex]
divide both sides by
[tex]2x=\frac{110}{2} =55[/tex]
thus the angles are
55∘ and 55 + 70= 125∘
The factor tree below provides the factors of 18.
18
N.
2
9
3
3
What is the prime factorization of 18?
2 x 3
2 x 9
2 x 3x3
02x3x9
Answer: it is (c)
i hope this helped :)
2. Change from dog/cat to tails/heads. DDC = TTH CDC = __________ DCD = __________ CCD = __________ DDD = __________ CCC = __________ DCC = __________ CDD = __________
Answer:
2. Change from dog/cat to tails/heads.DDC = TTH CDC = HTH DCD = THT CCD = HHT DDD = TTT CCC = HHH DCC = THH CDD = HTT
What is the value of x (7x-1) (6x-1) now
Answer:
42
Step-by-step explanation:
Its impossible tto calculate x there.
But i can simply the expression for you...
42x²-13x+1
Sarah wants to know if there is a difference in the time it takes her to run the high trestle trail from Madrid to Woodward based on the type of her running shoes her Hokas or her Asics.
what are the x- and y- intercepts for the graph of 3x + y = 15?
Answer:
X intercept=(5,0) and Y intercept=(0,15)
Step-by-step explanation:
3x + y = 15
to find the x int, sub in 0 for y and solve for x
3x + 0 = 15
3x = 15
x = 15/3
x = 5....so the x int is (5,0)
to find the y int, sub in 0 for x and solve for y
3(0) + y = 15
y = 15....so the y int is (0,15)
A cylinder has radius 9 inches and height 15 inches. A cone has the same radius and height
Find the volume of the cylinder
Find the volume of the cone
What fraction of the cylinder's volume is the cone's volume?
Answer:
See below
Step by step explanation:
Step-by-step explanation:
For cylinder:
r = 9 inches
h = 15 inches
[tex]V_{cylinder}=\pi r^2 h[/tex]
[tex]\implies V_{cylinder}=3.14 (9)^2 (15)[/tex]
[tex]\implies\huge\purple{ V_{cylinder}=3,815.1\:inch^3}[/tex]
[tex]V_{cone}=\frac{1}{3} V_{cylinder}[/tex]
[tex]\implies V_{cone}=\frac{1}{3}\times 3,815.1[/tex]
[tex]\implies \huge\orange{V_{cone}=1,271.7\: inch^3}[/tex]
Cone's volume is one third of the cylinder's volume.
Consider the following. (A computer algebra system is recommended.) y'' + 3y' = 2t4 + t2e−3t + sin 3t (a) Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. Y(t) = t(A0t4 + A1t3 + A2t2 + A3t + A4) + (B0t2 + B1t + B2)e−t + C sin 3t + D cos 3t Y(t) = t(A1t3 + A2t2 + A3t + A4) + t(B0t3 + B1t2 + B2t + B3)e−3t + C sin 3t + D cos 3t Y(t) = (A0t4 + A1t3 + A2t2 + A3t + A4) + t(B0t2 + B1t + B2)e−3t + C sin t + D cos t Y(t) = t(A0t4 + A1t3 + A2t2 + A3t + A4) + t(B1t + B2)e−3t + C sin 3t + D cos 3t Y(t) = t(A0t4 + A1t3 + A2t2 + A3t + A4) + t(B0t2 + B1t + B2)e−3t + C sin 3t + D cos 3t (b) Use a computer algebra system to find a particular solution of the given equation. Y(t) =
First look for the fundamental solutions by solving the homogeneous version of the ODE:
[tex]y''+3y'=0[/tex]
The characteristic equation is
[tex]r^2+3r=r(r+3)=0[/tex]
with roots [tex]r=0[/tex] and [tex]r=-3[/tex], giving the two solutions [tex]C_1[/tex] and [tex]C_2e^{-3t}[/tex].
For the non-homogeneous version, you can exploit the superposition principle and consider one term from the right side at a time.
[tex]y''+3y'=2t^4[/tex]
Assume the ansatz solution,
[tex]{y_p}=at^5+bt^4+ct^3+dt^2+et[/tex]
[tex]\implies {y_p}'=5at^4+4bt^3+3ct^2+2dt+e[/tex]
[tex]\implies {y_p}''=20at^3+12bt^2+6ct+2d[/tex]
(You could include a constant term f here, but it would get absorbed by the first solution [tex]C_1[/tex] anyway.)
Substitute these into the ODE:
[tex](20at^3+12bt^2+6ct+2d)+3(5at^4+4bt^3+3ct^2+2dt+e)=2t^4[/tex]
[tex]15at^4+(20a+12b)t^3+(12b+9c)t^2+(6c+6d)t+(2d+e)=2t^4[/tex]
[tex]\implies\begin{cases}15a=2\\20a+12b=0\\12b+9c=0\\6c+6d=0\\2d+e=0\end{cases}\implies a=\dfrac2{15},b=-\dfrac29,c=\dfrac8{27},d=-\dfrac8{27},e=\dfrac{16}{81}[/tex]
[tex]y''+3y'=t^2e^{-3t}[/tex]
[tex]e^{-3t}[/tex] is already accounted for, so assume an ansatz of the form
[tex]y_p=(at^3+bt^2+ct)e^{-3t}[/tex]
[tex]\implies {y_p}'=(-3at^3+(3a-3b)t^2+(2b-3c)t+c)e^{-3t}[/tex]
[tex]\implies {y_p}''=(9at^3+(9b-18a)t^2+(9c-12b+6a)t+2b-6c)e^{-3t}[/tex]
Substitute into the ODE:
[tex](9at^3+(9b-18a)t^2+(9c-12b+6a)t+2b-6c)e^{-3t}+3(-3at^3+(3a-3b)t^2+(2b-3c)t+c)e^{-3t}=t^2e^{-3t}[/tex]
[tex]9at^3+(9b-18a)t^2+(9c-12b+6a)t+2b-6c-9at^3+(9a-9b)t^2+(6b-9c)t+3c=t^2[/tex]
[tex]-9at^2+(6a-6b)t+2b-3c=t^2[/tex]
[tex]\implies\begin{cases}-9a=1\\6a-6b=0\\2b-3c=0\end{cases}\implies a=-\dfrac19,b=-\dfrac19,c=-\dfrac2{27}[/tex]
[tex]y''+3y'=\sin(3t)[/tex]
Assume an ansatz solution
[tex]y_p=a\sin(3t)+b\cos(3t)[/tex]
[tex]\implies {y_p}'=3a\cos(3t)-3b\sin(3t)[/tex]
[tex]\implies {y_p}''=-9a\sin(3t)-9b\cos(3t)[/tex]
Substitute into the ODE:
[tex](-9a\sin(3t)-9b\cos(3t))+3(3a\cos(3t)-3b\sin(3t))=\sin(3t)[/tex]
[tex](-9a-9b)\sin(3t)+(9a-9b)\cos(3t)=\sin(3t)[/tex]
[tex]\implies\begin{cases}-9a-9b=1\\9a-9b=0\end{cases}\implies a=-\dfrac1{18},b=-\dfrac1{18}[/tex]
So, the general solution of the original ODE is
[tex]y(t)=\dfrac{54t^5 - 90t^4 + 120t^3 - 120t^2 + 80t}{405}\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\dfrac{3t^3+3t^2+2t}{27}e^{-3t}-\dfrac{\sin(3t)+\cos(3t)}{18}[/tex]
Angle θ forms a reference angle that is below the positive x axis (in quadrant IV). What will be the signs on the sine and cosine of angle θ?
Answer:
sin(θ) is negative, cos(θ) is positive
Step-by-step explanation:
Cosine corresponds to the x-coordinate within the unit circle, sine corresponds to the y-coordinate. In quadrant I, they are both positive, in quadrant II, x is negative whilst y is positive, and you would just continue by how they correspond as show in the unit circle, therefore, in quadrant IV, x is positive, y is negative.
subtract 4 1/2 - 2 1/5?
Answer:
2.3 (decimal form)
Step-by-step explanation:
Convert 4 1/2 and 2 1/5 into improper fractions.
4 1/2 -> 9/2, 2 1/5 -> 11/5
Then you subtract, find the LCD (Least Common Denominator) and then you can combine.
Decimal form of answer: 2.3
Exact form of answer: 23/10
Mixed number form: 2 3/10
Any of those work! ⬆
GIVING EXTRAS POINTS AND BRAINLIEST
Answer:
p<6
Step-by-step explanation:
this basically means she can buy 6 pounds or less
Answer:
p<7
Step-by-step explanation:
Question 1 OT TU
A clothing store sells T-shirts, t, for $8 a shirt, shorts, s, for $12, and hats, h, for
$10 each. The store earned $464 revenue last month. The store sold three
times as many T-shirts than hats, and twice as many shorts as hats. Using the
substitution method, how many T-shirts, shorts, and hats did the store sell?
A. t=84; s = 12; h = 10
B. t = 24; s = 8; h= 16
C. t= 8; s = 16; h = 24
D. t = 24; s = 16; h=8
SUBMIT
The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first base throws the ball to a player at third base, what is the distance the player has to throw? 90 feet is first base 90 feet at third base
Answer:
ta side from one base to next has length of x. so we know each side has length x and the shape they make is a square. This means we are only searching for the diagonal of a square. remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using pythagoream theorem we can say
a^2 + b^2 = c^2 all side lengths are x so we can put x in for a and b to get
x^2 + x^2 = c^2
2x^2 = c^2
c = x * squareroot(2)
so if the length between bases is 90 ft
c = 90 ft * squareroot(2)
c = 127.28 ft
Step-by-step explanation:
Answer: C 16,200 squared
Step-by-step explanation:
Help me out I’m also at done!!!
Answer: 68
Step-by-step explanation:
(7-(-1))^2+(-2)^2
8^2+4
68
Answer:
im sry if i get it wrong i think it is 32
Step-by-step explanation:
(7-2i)(-2-4i)
show all work
Answer:
Step-by-step explanation:
-14 - 28i + 4i + 28i^2
-14 - 24i + 28(-1)
-14 - 24i - 28
-42 - 24i
HELP! 7-10 I need help with.
9514 1404 393
Answer:
7. odd angles, 143°; even angles, 37°
8. odd angles, 159°; even angles, 21°
9. even angles, 34°; odd angles, 146°
10. even angles, 29°, odd angles, 151°
Step-by-step explanation:
Angles 1 and 3 are vertical angles, so are congruent. The same can be said of angles 2 and 4. Each odd-numbered angle is supplementary to each even-numbered angle.
__
7. m∠1 = m∠3 = 143°, m∠2 = m∠4 = 180° -143° = 37°
8. m∠1 = m∠3 = 159°, m∠2 = m∠4 = 180° -159° = 21°
9. m∠2 = m∠4 = 34°, m∠1 = m∠3 = 180° -34° = 146°
10. m∠2 = m∠4 = 29°, m∠1 = m∠3 = 180° -29° = 151°
3) g(x) = 3x - 5
f(x) = x² +3
Find g(x) + f(x)
A) x2 + 3x - 2
C) x² - 4x + 6
B) x² – 3x - 2
D) -x - x + 1
Answer:
C. X²-4X+6
MY ANSWER(not sure)
How can i use scatter plots to analyze two sets of data?
Step-by-step explanation:
A Scatter Analysis is used when you need to compare two data sets against each other to see if there is a relationship. Scatter plots are a way of visualizing the relationship; by plotting the data points you get a scattering of points on a graph.
10 is 1/10 of
what is it?
Find the slope of -5x+4Y=-16
Given parameters:
Find the slope of the line;
-5x + 4y = -16
To find the slope of this line, we must express it in linear form according to the equation below;
y = mx + c
Where x and y are the coordinates
m is the slope
c is the intercept
Now let us write the given equation in this form;
-5x + 4y = -16
Take add +5x to both sides;
-5x + 4y + 5x = 5x - 16
4y = 5x - 16
Now, divide through by 4;
[tex]\frac{4y}{4}[/tex] = [tex]\frac{5x}{4}[/tex] - [tex]\frac{16}{4}[/tex]
y = [tex]\frac{5x}{4} - 4[/tex]
So the slope of the line is [tex]\frac{5}{4}[/tex]
For what value of x is the given parallelogram a rhombus?
Answer:
[tex]\sf x = 6[/tex]
solving steps:
[tex]\sf in \ a \ rhombus \ the \ opposite \ angles \ are \ equal[/tex]
[tex]\hookrightarrow \sf 7x + 4 = 9x - 8[/tex]
[tex]\hookrightarrow \sf 7x -9x = - 8-4[/tex]
[tex]\hookrightarrow \sf -2x = - 12[/tex]
[tex]\hookrightarrow \sf x = 6[/tex]