Answer:
y=2x+4
Step-by-step explanation:
Hi there!
We are given the points (0, 4) and (2,8)
We want to write the equation of the line that passes through these two points
There are 3 ways to write the equation of the line, but the most common way is with slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
So, to use this way, we need to find the slope of the line
The slope can be calculated using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We are already given the points needed to find the slope, but let's label them to avoid any confusion
[tex]x_1=0\\y_1=4\\x_2=2\\y_2=8[/tex]
Now substitute these values into the formula.
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{8-4}{2-0}[/tex]
Subtract
m=[tex]\frac{4}{2}[/tex]
Divide
m=2
The slope of the line is 2
Here is the equation of the line so far:
y=2x+b
Now we need to find b
As stated before, b is the y intercept of the line, which is the point in where the line passes through the y axis; the value of x at this point is 0
One of the points we were given earlier is actually the y intercept of the line; that point is (0, 4) *notice how x=0 at this point
The value of b is the value of y at the y intercept; in this case, the value of b is 4
Substitute 4 as b into the equation
y=2x+4
Hope this helps!
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Find the area of the shaded region. Use 3.14 for π.
Answer: 122 cm squared (aprox)
Step-by-step explanation:
Area circle pi* 10 squared = 314 cm squared
Area rectangle 12x16 = 192 cm squared
314-192 = 122
20 POINTS
Part E
How many of the 320 million Americans would you predict wear glasses?
The number is greater than 40. The numberis NOT on a red mailbox. The number has more ones than tens.
Answer:
89
Step-by-step explanation:
Based on the clues given, Meg's mailbox number is equal to 89.
The clues adopted by Meg.
In this scenario, the three clues that were adopted by Meg include:
The number is greater than 40.
The number is NOT on a red mailbox.
The number has more ones than tens.
From the image, the numbers that are greater than 40 include:
Green Mail box = 60.
Red Mail Box = 58.
Blue Mail Box = 89.
Red Mail Box = 73.
From the image, the number that is not on a red mailbox are:
Green Mail box = 60.
Blue Mail Box = 89.
From the image, the number that has more ones than tens is:
Blue Mail Box = 89.
By using place value, 8 represents tens while 9 represents ones (unit). Therefore, Meg's mailbox number is equal to 89.
Can you help me? PLEASE
Hello!
Let's simplify the expression
6-2x+5+4x
Combine like terms:
6+5-2x+4x
11+2x
And that's the final answer, because 11 and 2x are not like terms (and that's Tyler's error. He shouldn't have combined 11 and 2x.
This is the correct way to simplify:
6+5-2x+4x
11+2x
Hope everything is clear.
Let me know if you have any questions!
#NeverGiveUp
:-)
a family makes gumbo to serve during jazz fest.the gumbo recipe requires twice as many cups of chopped tomatoes as diced onions.Which expression can be used to represent the number of cups of diced onions based on the number of cups of chopped tomatoes,t?
A) t^2
B)2+t
C) t÷2
D)2t
Answer:
D: 2t
Step-by-step explanation:
a coefficient next to a variable is an automatic multiplication equation
The solution is Option D.
The number of cups of diced onions A to the number of cups of chopped tomatoes t is represented by the equation A = 2t
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
A = total number of cups of diced onions
Let the total number of cups of chopped tomatoes be = t
Now , the recipe requires twice as many cups of chopped tomatoes as diced onions
Substituting the values in the equation , we get
A = 2t
where A = number of cups of diced onions
t = number of cups of chopped tomatoes
Therefore , the value of A is 2t
Hence ,
The equation will be A = 2t where t is the number of cups of tomatoes
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fractions equivalent to 14/32
Answer:
7/16, 21/48, 28/64
Step-by-step explanation:
Hope this helps
04.04 SOLVING SYSTEMS OF EQUATIONS APPROXIMATELY
Need this badly
Answer:
See below ↓
Step-by-step explanation:
A) The Western Beach width decreases with increase in time whereas the Dune Beach width increases with increase in time.
B) Between Year 11 and Year 12
C) Find out the exact change in width per year for both beaches and plot them lines of change on a graph or as equations. Find where they intersect on the graph or solve the pair of equations to find out when they will both have the same width.
Leslie’s puppy has 4 toys. Her cat has 36 toys.How many times more toys does the cat have than the puppy?
A.6
B.7
C8
D.9
In this figure, the coordinates of the vertices of quadrilateral PARK are (5, 5), (5, 1), (-2, 1), and (0, 5) respectively. The corresponding coordinates of the vertices in the image are (-10, -10), (-10, -2), (4, -2), and (0,-10). Which of the following statements is true? A. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a rotation and a dilation. B. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a reflection and a dilation. C. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a translation and a reflection. D. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a rotation and a translation.
Answer:
B
Step-by-step explanation:
Answer:
The other personis wrong its answer A: a rotation and a dilation.
Step-by-step explanation:
I mean its kind of self explanatory but i hope it helps.
i got a 100% on my quiz with this question btw.
Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
O y-2 = 3(x +1/2)
O y-3 = 2(x + 1/2)
O y+ 1/2 = 3(x - 2)
o y + 1/2 = 2(x - 3)
Answer:
[tex]\displaystyle y + \frac{1}{2} = 3\, (x - 2)[/tex].
Step-by-step explanation:
Consider a line in a cartesian plane that goes through the point [tex](x_{0},\, y_{0})[/tex]. If the slope of this line is [tex]m[/tex] (a real constant,) the equation of this line in point-slope form would be:
[tex]y - y_{0} = m\, (x - x_{0})[/tex].
The line in this question goes through the point [tex](2,\, (-1/2))[/tex]. Thus, [tex]x_{0} = 2[/tex] whereas [tex]y = (-1/2)[/tex]. The slope of this line is [tex]m = 3[/tex]. Thus, the equation of this line in point-slope form would be:
[tex]y - (-1/2) = 3\, (x - 2)[/tex].
Simplify to obtain:
[tex]y + (1/2) = 3\, (x - 2)[/tex].
[tex] \rm \int_{0}^ \infty \frac{ \sqrt[ \scriptsize\phi]{x} \tan^{- 1} (x)}{(1 + {x}^{ \phi} {)}^{2} } {}^{} {} \: dx\\ [/tex]
With ϕ ≈ 1.61803 the golden ratio, we have 1/ϕ = ϕ - 1, so that
[tex]I = \displaystyle \int_0^\infty \frac{\sqrt[\phi]{x} \tan^{-1}(x)}{(1+x^\phi)^2} \, dx = \int_0^\infty \frac{x^{\phi-1} \tan^{-1}(x)}{x (1+x^\phi)^2} \, dx[/tex]
Replace [tex]x \to x^{\frac1\phi} = x^{\phi-1}[/tex] :
[tex]I = \displaystyle \frac1\phi \int_0^\infty \frac{\tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx[/tex]
Split the integral at x = 1. For the integral over [1, ∞), substitute [tex]x \to \frac1x[/tex] :
[tex]\displaystyle \int_1^\infty \frac{\tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx = \int_0^1 \frac{\tan^{-1}(x^{1-\phi})}{\left(1+\frac1x\right)^2} \frac{dx}{x^2} = \int_0^1 \frac{\pi2 - \tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx[/tex]
The integrals involving tan⁻¹ disappear, and we're left with
[tex]I = \displaystyle \frac\pi{2\phi} \int_0^1 \frac{dx}{(1+x)^2} = \boxed{\frac\pi{4\phi}}[/tex]
Factor z3 + 2z2 - 9z - 18. (z - 3)(z + 3)(z + 2) (z 2 + 9)(z - 2) (z 2 + 2)(z - 9)
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer:13.1
Step-by-step explanation:
Area equation:S=[tex]S=\frac{1}{2} ab sinθ[/tex]
Arcs and angles relay puzzle
Applying the angles of intersecting chords theorem, the value of x in the first figure is: x = 7.
What is the Angles of Intersecting Chords Theorem?If two chords of a circle intersect, the angles of intersecting chords theorem states that, the measure of the angle formed equals 1/2(sum of the measure of the arcs which are intercepted.
Thus, we can use the angles of intersecting chords theorem to find missing angles or value of x in the questions given.
For example, let's find the value of x in the first figure given:
12x + 5 = 1/2(83 + 95)
12x + 5 = 89
12x = 89 - 5
12x = 84
x = 7
Using same strategy, you can solve the rest of the problem given.
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Write an equation of a parabola with the given vertex and focus. Vertex (3,-2); focus (3,-3). Y=
Answer:
help mee
Step-by-step explanation:
i neddd heplp with my mathh thankyou
The area of a rectangular piece of metal is 1,984 square centimeters. The perimeter is 188 centimeters. What are the dimensions of the piece?
Answer:
There are 2 options:
x = 32 cm and y = 62 cmx = 62 cm and y = 32 cmStep-by-step explanation:
That's a rectangular piece, therefore let's consider the width to be x and the length to be y.
A = width * length
1) A = x * y = 1,984 cm^2
P = 2 * (width) + 2 * (length)
2) P = 2x + 2y = 188 cm
Isolate x or y in one of the equations.
xy = 1,984 cm^2
y = 1,984 cm^2 / x
Now plug it in the second equation.
2x + 2y = 188 cm
2x + 2 * (1,984 / x) = 188
Now we have only one variable. Now just solve it alegebraically.
2x + (3,968 / x) = 188
Multiply both sides by x in order to get rid of the fraction.
[tex]2x^{2}[/tex] + 3968 = 188 x
Substract both sides by 188 x
2x^2 + 3968 - 188x = 0
Now divide by 2 to make the equation simpler.
x^2 - 94x + 1984 = 0
use the quadratic formula:
[tex]\frac{94 + \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 62\\\frac{94 - \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 32[/tex]
[tex]x1 = \frac{-b + \sqrt{b^2 - 4ac} }{2a} \\x2 = \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]
x is either 62 or 32.
let's find y:
y = 1,984 / x
y = 1,984 / 62 = 32
y = 1,984 / 32 = 62
There are 2 options:
x = 32 cm and y = 62 cmx = 62 cm and y = 32 cm
If x and y vary inversely, and x = 8 when y = 1/4, what is y when x = -4?
[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx \\\\\implies \dfrac 14 = \dfrac k{8}\\\\\implies k=2\\\\\text{When}~ x =-4\\\\y = \dfrac{k}{x} = \dfrac{2}{-4}= -\dfrac 12[/tex]
Select the correct answer.
Which pair of statements correctly compares the two data sets?
A.
The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.
B.
The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set.
C.
The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set.
D.
The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.
Answer:
Step-by-step explanation:
Do you still need help?
Which equation does not represent a quadratic function?
Y = (x + 3)^2
y = 3x^2
y = 6x^2 - 1
y = x + 5
[tex]\text{A quadratic function is in the form of } ~ f(x)=ax^2 +bx+c.\\\\\\y=x+5 ~ \text{is linear so it is not in a form of quadratic function.}[/tex]
Solve for x
Can you pls help me?
Answer:
6x+50=92
Step-by-step explanation:
The x is for how much the classes cost plus the amount they charged her for the gear.
How many patients had more than 5 cavities?
Answer:
2 patients had more than 5 cavities.
step-by-step explanation:
5 cavities = 26 cavities = 07 cavities = 2Here cavities > 5
so only 2 patients had more than 5 cavities also as had total 7 cavities.
Answer:
2 patients had more than 5 cavities
Step-by-step explanation:
Each dot represents a different patient.
"More than 5" means numbers greater than 5 (so from 6 onwards).
From inspection of the dot plot, there are 2 dots above all the numbers that are greater than 5.
Therefore, there are 2 patients who had more than 5 cavities.
**see annotated dot plot**
The area shaded with a pink rectangle is "more than 5 cavities"
what is 10 1/2 minus 5 2/3
write as a mixed number and reduce to lowest terms
Answer:
4 5/6
Step-by-step explanation:
10 1/2 - 5 2/3
5 3/6- 4/6
4 9/6-4/6
4 5/6
Jennifer is a wedding planner. She set up six chairs at each table for the reception. If t represents the number of tables, which of the following expressions represents the total number of chairs that she set up?
A. 6 + t
B. t + 6
C. 6t
D. t - 6
Answer: C. 6t
Step-by-step explanation:
T is unknown, but because you are only asked for the equation to figure out the total, you simply multiply the 6 chairs per t, or table together, 6t
(12 pts) Choose whether the graphs of the following situations would have a positive slope, a negative slope, or a slope of zero
a. The amount of water in a bathtub as it is being filled
b. The temperature of a hot drink that you left sitting on your desk
c. The number of light bulbs on the Halloween string lights around your window
d. Power in your cell phone battery as you stream a video
Answer:
a. positive
b. negative
c. zero
d. negative
Step-by-step explanation:
You want a description of the sign of the slope of a graph of ...
amount of water in a filling bathtubtemperature of a cooling drinknumber of lights in a stringpower in a battery being usedSlopeThe slope of a graph is the "rise" divided by the "run." Generally, we choose the direction of "run" to be to the right, so the "rise" will be positive when the graph shows an increasing value, and it will be negative when the graph shows a decreasing value. When the rise is zero (the value is neither increasing nor decreasing), the slope is zero.
WaterA graph of the volume of water in a filling tub will show it starts at some low value and increases over time. Generally such a graph will have volume on the vertical axis, and time on the horizontal axis. Since the volume is increasing, the slope is positive.
TemperatureAs a hot drink cools, its temperature decreases. The graph of temperature will generally be drawn with temperature on the vertical axis, and time on the horizontal axis. Since the temperature is decreasing, the slope will be negative.
LightsWe presume there is no process going on that is changing the number of light bulbs in the string of lights, so the value is constant. It is neither increasing nor decreasing, so the slope of its graph will be zero.
PowerIf we presume your cell phone is not connected to a charger while it is streaming video for you, then we can assume the power in the battery is decreasing. The slope of the graph of battery power will be negative.
(If the phone is connected to a charger, the slope may be zero or positive, depending on the power output of the charger. One of my phone chargers is "low power," so the battery power does not increase unless the phone is turned off (not playing video).)
Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank contains 22,917 L at 2:45 PM and 8,077 L at 5:25 PM the same day, how much water will the tank contain at 6:10 PM that day?
The amount of water that the tank will contain at 6:10 PM that day is 4174 L.
What is a Conversion Rate?
The conversion rate of a physical quantity is the method by which a unit of measurement is changed from one process to another by following a standard conversion rate and dimensional analysis.
From the information given:
The difference in the time from 5:25 PM to 2:45 PM is 2 hours:40 minutesIf we convert 2 hours:40 mins to minutes, we have = 160 minutesThe difference in the water in the tank within these two periods is:
= 22917 L - 8077 L
= 14840 L
In one minute, the amount of Liter is:
= 14840/160
= 92.75 Liter/minute
Similarly, between 6:10 pm and 5:25 pm, there are 45 minutes difference.
Therefore, the amount of water that the tank will contain at 6:10 PM that
day is;
= 45 minutes × 92.75 Liter/minute
= 4174 Liters
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Nayeli has a points card for a movie theater.
She receives 40 rewards points just for signing up.
• She earns 14.5 points for each visit to the movie theater.
She needs at least 185 points for a free movie ticket.
Answer: She would have to visit the movie theater 10 times.
Step-by-step explanation:
Step-by-step explanation:
I am not sure what the actual question is.
the general function for the amount of gathered reward points p with v visits to the theater is
p(v) = 14.5×v + 40 (40 starting points, 14.5 points per visit)
to know how many visits are needed for a certain amount of points (185) we need to solve that equation for v :
185 = 14.5×v + 40
145 = 14.5×v
v = 145/14.5 = 10
so, she needs at least 10 visits to gather the desired 185 points for a free ticket.
but that applies only to the first free ticket.
after that the function behavior kind of changes, because we have no more starting points :
so to get 2×185 = 370 points for 2 free tickets she will need
370 = 14.5×v + 40
330 = 14.5×v
v = 330/14.5 = 22.75862069...
we need to round up to the next whole number (because there can be no "part-visits").
so, she will need 23 visits for 2 free tickets (that means 13 more visits for the second free ticket).
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please solve the question to get brainliest with explanation
Answer:
14) B. 9
15) C. (7 x 3)cm
Step-by-step explanation:
14) The area of of parallelogram ABCD is 63 and the altitude is 7
divide 63 by 7 = 9
15) The length of OC is twice the length of EO so CE = 1(7) + 2(7) = 3(7)
Answer:
14. B
15. C
Step-by-step explanation:
Question 14
Area of a parallelogram = base × altitude
Given:
area ABEF = 63 cm²base = ABaltitude = 7 cmSubstituting the given values into the formula and solve for AB:
⇒ Area = base × altitude
⇒ 63 = AB × 7
[tex]\sf \implies AB=\dfrac{63}{7}[/tex]
⇒ AB = 9cm
---------------------------------------------------------------------------------------------------
Question 15
Median: the line segment from the vertex to the midpoint of the opposite side.
Median Theorem: the medians of a triangle intersect at a point called the centroid. The centroid is two-thirds of the distance from the vertices to the midpoint of the opposite sides.
Therefore,
[tex]\sf CO=\dfrac23CE \implies EO=\dfrac13CE[/tex]
Given:
EO = 7cmSubstituting the given values into the formula and solve for CE:
[tex]\sf \implies EO=\dfrac13CE[/tex]
[tex]\sf \implies 7=\dfrac13CE[/tex]
⇒ CE = (7 x 3) cm
Ahmed drive his car 4 hours continuously as average 80 Km/hr .if his speed was 60 Km in the 1st hour, 90 Km in the 2nd hour and 100 Km in the 3rd hour .Find his speed in the 4th hour ?
Answer:
I would say 120 but that could be also be wrong but ill go with 120
Which of the following is the correct factorization of this trinomial?
4x^2 - 0x - 9
A. (4x - 3)(x + 3)
B. (2x - 3)(2x + 3)
C. (2x - 9)(2x + 1)
D. (4x - 9)(x + 1)
Answer:
B. (2x - 3)(2x + 3)Step-by-step explanation:
4x² - 0x - 9 = 4x² - 9 = (2x)² - 3² = (2x - 3)(2x + 3)
used: (a - b)(a + b) = a² - b²