Answer:
see attached
Step-by-step explanation:
boundary line
When graphing, it can be useful to have the equation in slope-intercept form. You can get that by solving for y.
4y ≤ -5x -4 . . . . subtract 5x from both sides
y = -5/4x -1 . . . . divide both sides by 4
This tells you the slope is -5/4, and the boundary line crosses the y-axis at y = -1. The slope is the ratio of rise to run, so -5/4 tells you the line will go down 5 units for each 4 unit to the right. That is, points (4, -6) and (-4, 4) will be on the line.
line type and shading
The "or equal to" part of the inequality symbol (≤) tells you that the boundary line will be solid, not dashed.
The "less than" part of the symbol tells you that the values of x and y are less than those on the boundary line, so shading will be to the lower-left. The graph is shown in the attachment.
_____
Additional comment
You can determine the location of the shading by looking at any variable term that has a positive coefficient, and its relation to the inequality symbol. Here, that could be either of ...
5x ... ≤ ...4y ... ≤ ...These tell you that x- and y-values in the solution set are less than those on the line, so shading will be left of (x<) or below (y<) the line. (In rare cases where all of the variable coefficients are negative, you can multiply the equation by -1 and reverse the inequality before you make this analysis.)
What is 6x + 5x - 6 = 32 + 9x
Answer:
x = 19
Step-by-step explanation:
Step-by-step explanation:
6x + 5x - 6 = 32 + 9x
11x - 6 = 32 + 9x
Bringing like terms on one side
11x - 9x = 32 + 6
2x = 38
x = 38/2 = 19
40 hours is what part of 120 hours
Answer:
1/3 part of 120 hours....
Mark deposited $750 in a savings account earning 3% interest over 9 years. What was the total interest earned after 9 years?
Answer: The final balance is $982.47.
The total compound interest is $232.47.
Step-by-step explanation:
Evaluate the numerical expression. (25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Please Help!
Thank You!
Raj pays $7.99 per month for a movie subscription service. One month he also rents 3 movies from the service. His bill for the month is $19.96. How much does Raj pay to rent each movie?
Answer:
Each movie costs 3.99
Step-by-step explanation:
If every month he is paying $7.99 initially for the service, you take $19.96 and subtract the initial cost ($7.99) then your left with $11.97 and since he bought 3 movies then you divide $11.97 by 3 and your left with $3.99 which is your final answer!
Hope this makes sense!
best answer gets brainiest
what is the circumference and the mass of Jupiter and Saturn combined?
Mercury
Mercury is the smallest planet in the solar system. Its circumference is merely 9,522 miles, and its area totals 28,873,225 square miles. It is a terrestrial planet with a surface covered in craters, and its close proximity to the sun sometimes results in surface temperatures as high as 800 degrees Fahrenheit. Its lack of heat-retaining atmosphere, though, can cause nighttime temperatures nearing 300 degrees Fahrenheit. Besides its faint, occasional twilight appearances, Mercury is indirectly visible from Earth about a dozen times per century as it passes across the sun.
Venus
Venus is similar to Earth in size, with a circumference of 23,617 miles and an area of 177,628,840 square miles. Venus’ atmosphere contains clouds of sulfuric acid, which reflect sunlight, allowing Venus to appear brighter than other planets from Earth. Its atmosphere traps heat and can cause surface temperatures of almost 900 degrees Fahrenheit; this sweltering heat has destroyed all probes that have landed on the planet. Over a thousand volcanoes are strewn across Venus’ surface.
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Earth
The third planet from the sun is Earth, the only planet known to contain life. Its circumference is just greater than that of Venus at 24,889 miles. Of its total area -- 197,280,733 square miles -- 70 percent is covered by oceans. It orbits the sun at a distance of nearly 93 million miles on a tilted axis of over 23 degrees, creating four distinct seasons. Earth’s uniquely thin, but powerful atmosphere alters both climate and weather, protects inhabitants from the sun’s radiation and acts as a shield for meteors.
Mars
Having a circumference of 13,256 miles and an area of 55,963,741 square miles, Mars is the second smallest planet in the solar system. This terrestrial planet, known as the “Red Planet” due to its color of soil, has some notable geological features including tremendous volcanoes and a canyon system that stretches the width of the United States. Though its temperatures are too low for liquid water to remain on its surface, Mars has polar ice caps that expand and shrink according to the shift in seasons.
Jupiter
The largest planet in the solar system -- with a circumference of 278,985 miles and an area of 24,787,374,965 square miles -- is Jupiter. This gas giant is the fifth from sun and has 63 moons of its own, four of them the size of planets. Its unusual coloring is a product of visible ammonia clouds and stripes formed by east-west winds creating dark belts and light zones. These “stripes” are full of storm systems that have endured for many years, including the spinning storm known as the Great Red Spot, which is over 300 years old.
Saturn
At 235,185 miles in circumference and 17,615,265,865 square miles in area, Saturn is the sixth planet from the sun and the second largest gas giant. Its composition is mostly hydrogen and helium, while its famous rings are deceptively complex: primarily made of water ice, some braided or spoked in appearance. Saturn’s own banded appearance is the result of gusts in the upper atmosphere many times the speed of hurricane winds. Saturn has 52 known moons, two of which orbit within its rings.
Uranus
Uranus, the seventh planet from the sun, is another gas giant. It measures 99,739 miles in circumference and 3,168,132,663 square miles in area. Its blue-green appearance is a result of methane gas in its atmosphere. It rotates on a nearly horizontal axis, perhaps due to a collision with another planetary body far in the past, but the resulting seasons are not very distinct due to its distance from the sun. Uranus has 11 rings -- which are uniquely perpendicular to its orbit -- and 27 known moons.
Neptune
Nearly three million miles from the sun, Neptune -- measuring 96,645 in circumference and 2,974,591,827 square feet in area -- takes over 150 years to complete its orbit. It cannot be seen by the naked eye from Earth, despite its intense blue color, a product of atmospheric methane. Among Neptune’s distinguishing features are winds many times the strength of Earth’s, 13 known moons, six rings and a raging hurricanelike storm known as the Great Dark Spot large enough to encompass the Earth.
Answer:
Total Circumference = 514, 170 miles
Total Mass = 2, 467, 000, 000, 000 metric tons
Step-by-step explanation:
hope this helps you
Solve for X Enter the answer only with no spaces between numbers, symbols, and or variables
Answer:
x=-23
Step-by-step explanation:
Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.
Therefore, x must be equal to -23.
Can someone pleaseee answer this
Answer:
Answer is in the attached file.
Answer:
x = 80
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
2x -48 = x +32
x = 80 . . . . . . . . . . add 48 -x to both sides
A backpack weighed 28 pounds if you take out a textbook that weighs 6 pounds and3 ounces how much will the backpack weigh
Answer:
22 pounds and 13 ounces
Step-by-step explanation:
I hope this helps!
1
View NON-CALC.
Sam plays a game with a fair dice.
if he rolls a 1 or 2 he rolls again
if he rolls a 3 he wins
If he rolls a 4,5 or 6 he loses.
When he has to roll again,
if he rolls a factor of 6 he wins
If he rolls a number which is not a factor of 6 he loses,
a) Complete the tree diagram,
First roll
Second roll
Not a factor of 6
1 or 2
Factor of 6
DI
3
4,5 or 6
b) Is Sam more likely to win or lose?
You must calculate the probability he wins.
Answer:
The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.
For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.
For p=5/36, that's
(536)25+636=2511⋅36,
and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is
836+236(2511+1610+99)=244495=12−7990≈12−0.007.
Step-by-step explanation:
Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:
p(4)=336+2736p(4),so thatp(4)=13.
Repeat this reasoning for the other outcomes and then compute the total probability of winning as:
ptot=836+336p(4)+436p(5)+…
find area of parallelogram multiple choice
refer to image.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP
MUST. give thoughtful explanation
In ∆ABD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh=\dfrac{1}{2}(7\times 4)[/tex]
In ∆BCD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)[/tex]
Now
IN PARALLELOGRAM ABCD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)+\dfrac{1}{2}(7\times 4)[/tex]
Option A
In order to verify the equation sin (θ +π/4) =-cosθ. What value would you need to know besides sin (π/4)?
Group of answer choices
a cos (π/4)
b sin (2π/3)
c tan (2π/3)
d cos ((-π)/3)
Answer: A cos (π/4)
I just took a test with this question and got it right
Find the area of the shape. Either enter an exact answer in terms of π or use 3.14, point, for π and enter your answer as a decimal.
Answer:
25π
Step-by-step explanation:
1) for whole circuit: A=π*r², where r - radius of the given circle;
2) for a quater of the circuit: A=πr²/4;
3) finally, A=π*100/4=25π.
what is the x coordinate to the solution for the following system of equations
x = 2y
4x - 3y = 15
Answer:
x=6
Step-by-step explanation:
x=2y
4x-3y=15
4(2y)-3y=15
8y-3y=15
5y=15
y=3
x=2y
x=2(3)
x=6
why do you need to find the number that is halfway between 1 and 1 1/2
Answer:
Lets just say we are finding the halfway point is very needful because; it means that we can find the amount of flour used for 1 while egg.
We are told there is a need to find the Number that is halfway between 1 and 1½.
Step-by-step explanation:
Please help me im begging you
Answer:
i think its D but sorry if im wrong !! <3
Step-by-step explanation:
Answer: 6⅝ subtract 2½ or rewrite the equation as 6⅝ subtract 2 ⁴/8 same thing :)
Whole numbers: 6-2 = 4
⅝- ⁴/8 = ⅛
Step-by-step explanation:
The answer is 4 ⅛ :)
find the measure of each variable
Answer:
m∡r = 35°
m∡t = 145°
m∡u = 35°
m∡v = 90°
m∡w = 125°
Step-by-step explanation:
m∡r = 180-(134+11)
= 180 - 145
m∡r = 35°
m∡r + m∡t = 180°
35 + t = 180
m∡t = 145°
m∡t + m∡u = 180°
145 + u = 180
m∡u = 35°
m∡u + m∡v + 55° = 180°
35 + 55 + m∡v = 180
m∡v = 90°
m∡w + 55° = 180°
m∡w = 125°
Figure ABCD is transformed to obtain figure A′B′C′D′:
A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
Answer:
Reflected along x axis
Translated 7 units to the right
Step-by-step explanation:
If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)
If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:
It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)
It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)
Hope that's better
I really need the answer to this
=============================================
Explanation:
Let point N be at the intersection of the horizontal line and segment JM.
We can prove the right triangles JNK and MNK are congruent using the hypotenuse leg (HL) rule. This in turn means JN = NM through the use of CPCTC.
In other words, JN = NM because the horizontal line is the perpendicular bisector of JM.
So,
JM = JN + NM
JM = NM + NM
JM = 2*NM
JM = 2*7.1
JM = 14.2
Answer:
JM = 14.2
Step-by-step explanation:
Given JK = MK then Δ JKM is isosceles.
The line through K is a perpendicular bisector of JM , so
JM = 2 × 7.1 = 14.2
PLEASE HELPPP!
You’re buying hand lotion. The lotion comes in rectangular pyramid-shaped bottles. Bottle A has a base of 1 in x 2 in, and a height of 6 in. Bottle B is a wider bottle with a base of 1.5 in x 3 in, and a height of 4 inches. Which bottle has more lotion?
Answer:
Bottle B has a larger volume of lotion therefore the correct answer
Step-by-step explanation:
1×2×6=12/3=4 Bottle A
1.5×3×4=18/3=6 Bottle B
Answer:
Bottle B contains 6 in3 of lotion, and Bottle A contains 4 in3. Bottle B contains more.
Step-by-step explanation:
pf
The graph of y=f(x) is shown below. Find all values of x where f(x)=5
=======================================================
Explanation:
Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.
This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6
This shows that f(-4) = 5 and f(-6) = 5.
Phrased another way: the points (-4,5) and (-6,5) are on the parabola.
Can someone plz help with 21?? Thanks!
Answer:
4) -11.3...
Step-by-step explanation:
distribute both sides to get (1/6)x - (4/3) = (4/15)x - (1/5)
move the variables to one side and the constants to the other: ((4/15) - (1/6))x = (-(4/3) + (1/5))
simplify to get (1/10)x = (-17/15) multiply everything by 10 to get x=-34/3 or -11.33333333333333333...
Answer:
option 4
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] ([tex]\frac{1}{4}[/tex] x - 2) = [tex]\frac{1}{5}[/tex] ([tex]\frac{4}{3}[/tex] x - 1) ← distribute parenthesis on both sides
[tex]\frac{1}{6}[/tex] x - [tex]\frac{4}{3}[/tex] = [tex]\frac{4}{15}[/tex] x - [tex]\frac{1}{5}[/tex]
Multiply through by 30, the LCM of 6, 3, 15, 5
5x - 40 = 8x - 6 ( subtract 8x from both sides )
- 3x - 40 = - 6 ( add 40 to both sides )
- 3x = 34 ( divide both sides by - 3 )
x = - [tex]\frac{34}{3}[/tex] = - 11.333..
10-4/4x89-1/2+43992/69x174
10.127781530000000000
Give the equation of the line in slope intercept form. y = 3x + [?] =
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today.
We can solve this problem in a single step, we just need to know how equations like this are set up.
Equations in slope intercept form are set up in [tex]y=mx+b[/tex] form. With [tex]m[/tex] being the slope of the line, and [tex]b[/tex] being the y intercept.
In your problem, we need to find the value of [tex]b[/tex], which is the y intercept.
The y intercept is what is y when x is zero. We can find that by looking at the graph supplied.
When we look at the line, we can see that it hits the x axis when y is negative two, therefore the intercept is [tex](0,-2)[/tex].
Since we know that, we can reconstruct our equation with this information, we already know the slope so we can add in -2 to get our answer.
[tex]y=3x-2[/tex]
This would be our final answer.
Cheers!
Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)
Answer:
[tex](h+f)(x)=3x^2-9x-2[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4[/tex]
Looks like g(x) is irrelevant here.
You can expand this like so:
[tex](h+f)(x)\\h(x)+f(x)[/tex]
And even further:
[tex](x^2-4)+(2x^2-9x+2)[/tex]
Now, it's just a matter of simplifying.
[tex]x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2[/tex]
Therefore:
[tex](h+f)(x)=3x^2-9x-2[/tex]
Aaron travels a distance of 680 miles in 8 hours by train. What is the speed of the train?
A.
75 miles/hour
B.
80 miles/hour
C.
85 miles/hour
D.
90 miles/hour
Answer:
C 85 miles/hour
Step-by-step explanation:
680 / 8 = 85
What is the equation of g(x)? g(x) = 10x â€"" 3 g(x) = 10x 3 g(x) = 10x â€"" 3 g(x) = 10x 3.
The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].
Given that,
The graphs of f(x) = 10x and its translation, g(x), are shown.
We have to determine,
What is the equation of g(x)?
According to the question,
The given graphs of two functions f(x) and g(x).
The function f(x) is an exponential function and is given by:
[tex]\rm f(x) = 10^x[/tex]
To find the equation for the transformed function g(x).
We could see that the graph of the function g(x) passes through points (3,1), (4,10), (5,100), and so on.
This means that the equation or the expression for the function g(x) is given by:
[tex]\rm g(x) = 10 ^{x-3}[/tex]
Substitute the value of x = 3 in the function g(x),
[tex]\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1[/tex]
Substitute the value of x = 4 in the function g(x),
[tex]\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10[/tex]
Hence, The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].
For more details refer to the link given below.
https://brainly.com/question/13148696
Answer:
the answer is a g(x)= 10x^-3
Step-by-step explanation:
The following diagram shows the side view of a roof and attic space of a newly constructed
home. Find m
A. 20°
B. 40°
C. 60°
D. 25°
Answer:
A 20
Step-by-step explanation:
yeah-ya....... right?
May I please receive help?
Problem 1 (on the left)
Answers:[tex]10^2+12^2 = \boldsymbol{244}\\\\14^2 = \boldsymbol{196}\\\\\text{What kind of triangle?} \textbf{ Acute}[/tex]
-------------------------------
Explanation:
The converse of the pythagorean theorem can be used to determine what kind of triangle we're dealing with.
Here are 3 important rules to have in your notes:
[tex]\cdot \text{If } a^2+b^2 > c^2 \text{ then the triangle is } \underline{\text{acute}}\\\\\ \cdot \text{If } a^2+b^2 < c^2 \text{ then the triangle is } \underline{\text{obtuse}}\\\\\cdot \text{If } a^2+b^2 = c^2 \text{ then the triangle is a } \underline{\text{right}} \text{ triangle}\\\\[/tex]
The third rule is probably the most familiar as it's the pythagorean theorem itself.
In this case, we have [tex]a^2+b^2 = 10^2+12^2 = 244[/tex] larger than [tex]c^2 = 14^2 = 196[/tex], which fits the first rule mentioned.
=========================================================
Problem 2 (on the right)
Answers:[tex]8^2+15^2 = \boldsymbol{289}\\\\17^2 = \boldsymbol{289}\\\\\text{What kind of triangle?} \textbf{ Right}[/tex]
-------------------------------
Explanation:
We follow the same idea as problem 1. This time, both [tex]a^2+b^2[/tex] and [tex]c^2[/tex] result in the same value (289). Therefore, [tex]a^2+b^2 = c^2[/tex] is a true equation, and we go for the third rule mentioned earlier. An 8-15-17 right triangle is one of the infinitely many pythagorean triples.
Find the value of x when 6-2x =5x-9x+16The value of x is
Answer:
5
Step-by-step explanation:
6-2x = 5x-9x+16
leave the x's together: (going over the equal signs changes the sign)
-2x-5x+9x = 16-6
2x = 10
x = 5