Answer:
Step-by-step explanation:
4x + y = 2
y = -4x + 2
Use the linear inequality + 8y 24 for Part A, Part B, and Part C. Part A: Determine the boundary line, and state whether the line will be dashed or solid. Part B: Which half-plane should be shaded? Describe where you should shade using the language "above" or "below" the line. Part C: Show your work for Part B to show how you determined which half-plane to shade.
Answer:
Given inequality: [tex]x+8y\leq 24[/tex]
Part A
Solid line: ≤ or ≥
Dashed line: < or >
Therefore, the line will be solid.
Part B
Shading above the line: y > or y ≥
Shading below the line: y < or y ≤
Therefore, shade below the line.
Part C
Make y the subject to determine where to shade.
Given inequality:
[tex]x+8y\leq 24[/tex]
Subtract x from both sides:
[tex]8y\leq 24-x[/tex]
Divide both sides by 8:
[tex]y\leq 3-\dfrac18x[/tex]
[tex]\\ \rm\Rrightarrow x+8y\leqslant 24[/tex]
#Part A
as ≤ is present line will be dashed#Part B
Put (0,0)
0+8(0)≤240≤24Satisfied
Shading below the line and towards origin
#Part C
turn into y=mx+b form
8y≤-x+24y≤-1/8x+3Latanya was asked to determine if (375,4) lies on the circle with radius 7 centered at (0.-2). what is her error?
x2 + (y-2)2 = 49
(3/5)2 + (4 - 2)2 = 49
45+ 4 = 49
the point (375,4) lies on the circle
with radius 7 and centerd at (0,-2). what is her error
The point (3/5,4) would lie on the circle if it makes the equation of the circle to be true
Latansha's equation of the circle is wrong
How to determine her error?The given parameters are:
Center = (a,b) = (0,-2)
Radius, r = 7
The equation of a circle is:
[tex](x - a)^2 + (y - b)^2 = 0[/tex]
This gives
[tex](x - 0)^2 + (y + 2)^2 = 0[/tex]
Rewrite as:
[tex]x^2 + (y + 2)^2 = 0[/tex]
In Latanya's first step, we have:
[tex]x^2 + (y - 2)^2 = 0[/tex]
By comparing her first step with x^2 + (y + 2)^2 = 0, we can see that her equation is wrong
Hence, Latansha's error is that she determine the equation of the circle, wrongly.
Read more about circle equations at:
https://brainly.com/question/1559324
i kinda need help! No links No files :)
Answer:
14 sq. units
Step-by-step explanation:
We know that :
Area (Δ) = 1/2 x Base x HeightBase
Take the difference between the lowest x-value and highest x-value-4 + 8 = 4 unitsHeight
Take the difference between the lowest y-value and highest y-value9 - 2 = 7 unitsArea
1/2 x 4 x 728/214 sq. unitsPLEASE PLEADE HELP!!
Hello and Good Morning/Afternoon:
Let's take this step-by-step:
By looking at this diagram:
[tex]\hookrightarrow \text {angle C is 45 degrees, angle A is 90 degrees}[/tex]
[tex]\hookrightarrow \text{We know that the sum of all the angles is 180 degrees in a triangle}[/tex]
[tex]a + b + c = 180\\90 + b + 45 = 180\\b + 135 = 180\\b = 45[/tex]
[tex]\hookrightarrow \text {Therefore angle B is also 45 degrees}[/tex]
With all these angles' measures:
⇒ we have a 45-45-90 triangle
⇒ which has some special properties (look at the diagram attached)
Based on the diagram:
[tex]\hookrightarrow \text{the longest side/ hypotenuse (BC)} = \text{ length of leg (AC)} * \sqrt{2} =14\sqrt{2}[/tex]
Answer: [tex]14\sqrt{2}[/tex]
Hope that helps!
#LearnwithBrainly
i need help understand my math so when finding the volume of a cylinder with a 10 inches in diameter and a 10 inches high while using this formula V=3.1.4*r^2*h why is there a five should it not be 10
V=3.1.4*5^2*10
Answer:
Step-by-step explanation:
The volume of a cylinder is the area of the circle times the hight of the cylinder.
Thus...
3.14*5^2*10=785
The reason it is 5 and not 10 is because it gives you the diameter in the word problem and the equation asks for the radius.
So you know that the radius is always half the diameter and half 10 which gives you 5.
Hope this helps!!!
Which value is a solution of the inequality 2x − 3 < 9? A. x = −4 B. x = −3 C. x = −2 D. x = 3
Answer:
[tex]\huge\boxed{\sf x < 6}[/tex]
Step-by-step explanation:
Given inequality:
2x - 3 < 9
Add 3 to both sides
2x < 9 + 3
2x < 12
Divide 2 to both sides
x < 6
[tex]\rule[225]{225}{2}[/tex]
Answer:
Step-by-step explanation:
2x − 3 < 9
Solve:
2x − 3 < 9 <== add 3 to both sides
+ 3 + 3
2x < 12 <== divide both sides by 2, to isolate the variable (x)
/2 /2
x < 6
This means that x, can be any number than is smaller than (less than) 6.
A. x = −4
-5 < 6 <== correct
B. x = −3
-3 < 6 <== correct
C. x = −2
-2 < 6 <== correct
D. x = 3
3 < 6 <== correct
Therefore, all these are solutions to the inequality.
Hope this helps!
The ratio of the dimensions of a rectangular patio are 4:7. if the shorter
dimension is 10 feet, What are the area and perimeter of the patio?
If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:
[tex]\frac{4}{7} =\frac{10}{x}[/tex]
You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.
[tex]\frac{4}{7}*\frac{2.5}{2.5}=\frac{10}{17.5}[/tex]
This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.
AREA
The formula for the area of a rectangle is: [tex]w*l[/tex]
So we can plug our dimensions into the formula: [tex]10*17.5=175[/tex]
So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is 175 square feet.
PERIMETER
The formula for the perimeter of a rectangle is: [tex]2(w+l)[/tex]
We can plug our dimensions into the formula: [tex]2(10+17.5)=55[/tex]
So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is 55 feet.
a*b=a+2b find 2*3
please help me
Answer:
7
Step-by-step explanation:
solna*b=a+2b2*3=a+2b a=3 b=2 =3+2×2 =3+4 =7answerWhat is the Inverse of function ?
f(x) = (3-x)/7
Answer:
y = -7x+3
Step-by-step explanation:
We can write the function as
y = (3-x) / 7
To find the inverse of this function we have to do 2 things
a. change x with y and y with x and
b. find the y
a. y = (3-x) / 7, change x with y and y with x
x = (3-y) / 7, multiply both sides by 7
b. 7x = 3-y, subtract 3 from both sides
7x-3 = -y, multiply both sides by -1
-7x+3 = y
The inverse function of
f(x) = (3-x)/7 is [tex]f^{-1} (x) = -7x + 3[/tex]
write an equation for a circle that has a center at (-6,5) and passes through the point (-11,3)
Answer:
Your equation would be:
(x + 6)² + (y - 5)² = 29
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Evin is modeling the temperature of water heating on the stove. She finds that the Fahrenheit temperature can
be modeled by the linear function F(m)=15.2m +58, where m is the number of minutes the water has been
heating. Give a physical interpretation of the parameters 15.2 and 58 in the linear model. Use appropriate
units in your explanation.
Step-by-step explanation:
i hope this helps the steps are within the photo
1. Find the area of the parallelogram.
Answer:
Step-by-step explanation:
Formula
Area = B * h
Givens
Base = 2.5
height = 5.25
Solution
You choose the value for the base and height from the fact that the height touches the base (which has been extended) at right angles.
Area = 2.5 * 5.25
Area = 13.125
Answer: Area = 13.125 or 13 1/8
pls help me on this one thank you and right answer only if your gonna put a wrong answer pls dont waste my time
Answer:
the answer is 47
Step-by-step explanation:
subtract 133 from 180 and you get 47
You mix 3/5 quart of blue paint for every 1/3 quart of red paint to make 5 3/5 quarts of purple paint. How much blue and red paint do you use?
Pls answer!!!!
Answer:
Hey Here Is Ur Answer
Step-by-step explanation:
3/5 + 1/3 = 14/15
5 3/5 ÷ 14/15 = 6
so
blue:red = 3/5 : 1/3 = 18/5 : 2
HOPE IT HELP U
3/5 + 1/3 = 14/15
5 3/5 ÷ 14/15 = 6
so
blue:red = 3/5 : 1/3 = 18/5 : 2
Which answer us correct????
Answer:
the one you click is correct.
Step-by-step explanation:
one side of parallelogram is 16 cm and its perimeter is 48 cm find the length of the remaining side
Step-by-step explanation:
a parallelogram has 2 pairs of equation sides (as a rectangle, just not necessarily with the 90° angles).
so, when one side is 16 cm, then there is a second side with 16cm.
the perimeter is the sum of all 4 sides (the 2 pairs of sides) : 48 cm.
and we know the length of one of these pairs : 2×16 = 32 cm.
what is left for the second pair of sides ?
48 - 32 = 16 cm
so, these 16 cm is the sum of a pair of equally long sides. that means their are
16/2 = 8 cm
long each.
so, the length of the "remaining" side is 8 cm.
2x - 3y = 1, x + 2y = -3 equivalent equation and solution
Answer:
x = -1, y = -1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}2x-3y=1\\ x+2y=-3\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=\frac{1+3y}{2}[/tex]
[tex]\begin{bmatrix}\frac{1+3y}{2}+2y=-3\end{bmatrix}[/tex]
Simplify
[tex]\begin{bmatrix}\frac{1+7y}{2}=-3\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=\frac{1+3y}{2}[/tex]
[tex]\mathrm{Substitute\:}y=-1[/tex]
[tex]x=\frac{1+3\left(-1\right)}{2}[/tex]
[tex]x=-1[/tex]
[tex]The\:solutions\:to\:the\:system\:of\:equations\:are[/tex]
[tex]x=-1,\:y=-1[/tex]
Check Answer:
2(-1)-3(-1) = 1
True
-1+2(-1)= -3
True
~Lenvy~
A bag of cement weighs 50 kg. A lorry carrying 5 t of cement breaks down. the cement is then transported in a pick up which can carry 10 bags at a time. how many trips does the pick-up make?
Answer:
10 trips
Step-by-step explanation:
50kg in a bag, 4535.92 kg in 5 tons
4535.92kg/50kg = 90.7184
90/10 = 9 trips
but there's still 0.7184 bag left, so the pick-up would need to make 10 trips.
What is the value of k?
60.80
70.80
...... ................ .......
Calculator
40%Increased in 360
Answer:
504
Step-by-step explanation:
40%=.40
360*.40=144
original number + increase = x
360+144=504
How do I find the current price of a stock when the rate is not constant? Please give a formula step by step answer I'm so confused
Answer:
There is no affirmative formula, but this is the basics
Step-by-step explanation:
DDM Formula=
Stock value = Dividend per share / (Required Rate of Return – Dividend Growth Rate)
Rate of Return = (Dividend Payment / Stock Price) + Dividend Growth Rate.
The P/E Ratio. The price-to-earnings ratio or P/E ratio is a popular metric for valuing stocks that works even when they have no dividends. Regardless of dividends, a company with high earnings and a low price will have a low P/E ratio. Value investors see such stocks as undervalued.
The current price is the most recent selling price of a stock, currency, commodity, or precious metal that is traded on an exchange and is the most reliable indicator of that security's present value.
The formula consists of taking the DPS in the period by (Required Rate of Return – Expected Dividend Growth Rate). For example, the value per share in Year is calculated using the following equation: Value Per Share ($) = $5.15 DPS ÷ (8.0% Ke – 3.0% g) = $103.00.
Briefly, in order to be eligible for payment of stock dividends, you must buy the stock (or already own it) at least two days before the date of record. That's one day before the ex-dividend date.
Which expressions have the same value as 15% of 20
Answer:
3
Step-by-step explanation:
I hope its helped<8 thank you
a. Quick please A 1/2+4\9=? and is it greater than one or less than one please explain
B. 2 1/4-1 1/5 do the same thing please remember if it’s greater than one or less than one and explain
Answer:
it is B
Step-by-step explanation:
B is 1 1/20 and A is only 17/18
8. Estimate the product. Then find the
exact product.
(25+4) (52-5)
Х
Estimate:
Exact product:
Hey there!
ORIGINAL EQUATION:
(25 + 4)(52 - 5)
= (29)(47)
= 1,363
Original answer: 1,363
____________________
SOLVING FOR THE ESTIMATION EQUATION:
25 = 30
4 = 0
~~~~~~~~
52 = 50
5 = 10
(30 + 0)(50 - 10)
= 30(40)
= 1,200
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
If s = 1 over 4 unit and A = 16s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)
Answer:
A = 1 square unit
Step-by-step explanation:
Given:
[tex]\sf s=\dfrac14[/tex][tex]\sf A=16s^2[/tex]To find A, substitute the value of s into the equation for A and solve:
[tex]\sf \implies A=16 \cdot \left(\dfrac14\right)^2[/tex]
[tex]\sf \implies A=16 \cdot \left(\dfrac{1^2}{4^2}\right)[/tex]
[tex]\sf \implies A=16 \cdot \left(\dfrac{1}{16}\right)[/tex]
[tex]\sf \implies A=\dfrac{16 \cdot 1}{16}[/tex]
[tex]\sf \implies A=\dfrac{16}{16}[/tex]
[tex]\sf \implies A=1[/tex]
Therefore, A = 1 square unit
[tex]\\ \rm\rightarrowtail A=16s^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(1/4)^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(0.25)^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(0.0625)[/tex]
[tex]\\ \rm\rightarrowtail A=1units^2[/tex]
PLEASE HELP!!!!!!!!!
Answer:
114
Step-by-step explanation:
The external angle measure is equal to the half of difference between the larger intercepted arc (5x-12) and the smaller intercepted arc (3x)
32 = (5x-12 -3x)/2
combine like terms in parenthesis and multiply both sides by 2
32·2 = 2x-12
multiply 32·2 = 64, and add 12 to both sides
64 + 12 = 2x
add 64+12 = 76, and divide both sides by 2 to isolate x
76/2 = x
38 = x
The measure of arc AB is 3x.
Substitute x for 38
Measure of arc AB = 3x = 3·38 = 114
Jessica has a credit line of $8,250 on her credit card. she had a previous balance of $780.54 and made a $455.00 payment. the total of her purchases is $1,570.85. her late charge was $12.60 and her finance charge was $9.50. use this information to answer questions # 1 - 2
Answer:
780.54-455=425.54
Step-by-step explanation:
425.54+1570.85+12.60+9.50=2018.49
What is the volume of a hemisphere with a radius of 3.6cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
V(sphere) =
[tex] \frac{4 }{3} \pi \:{r}^{3} = 195.43 \\ [/tex]
V(hemisphere) = V(sphere)/2 = 97.715 = 97.7
Which statement is true about the distribution
Answer:
The range is the best measure of variability because the distribution has an outlier.
Either the IQR or the range are good measures of variability because the distribution has no outliers.
The IQR is the best measure of variability because the distribution has an outlier.
Step-by-step explanation:
is this what you was looking for
Solve the equation:
3/4x - 12 = 12
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation: