The graph below shows the solution to an inequality
Which inequality matches this graph?
A. 2y−5 x
C. 2x−5 y
Answers
The inequality that matches the graph shown above is 2x - 5y ≤ 10. This inequality represents all the points on or below the boundary line of the graph. The line passes through the points (0, -2) and (5, 0) and has a slope of 2/5.
To verify this, we can select a point not on the line, like (0, 0), and substitute its coordinates into the inequality. We get: 2(0) - 5(0) ≤ 10, which simplifies to 0 ≤ 10. Since this is true, all the points on or below the line satisfy the inequality.
The given graph shows the shaded region below the line 2x - 5y = 10, and on the line itself.
To find the inequality that matches the graph, we can identify the slope and intercept of the line and write it in slope-intercept form, y = mx + b. The slope is found by dividing the change in y by the change in x between two points on the line.
Taking the two points (0, -2) and (5, 0), we get a slope of (0 - (-2))/(5 - 0) = 2/5.The y-intercept is where the line crosses the y-axis, which is the point (0, -2).
Using this information, we can write the line in slope-intercept form as y = (2/5)x - 2. The inequality that matches the graph is the one that includes all the points on or below this line. Since the line itself is included, we use the less than or equal to sign, giving us the inequality 2x - 5y ≤ 10.
for such more questions on inequality
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Related Questions
3 m
6 m
6 m
10 m
Perimeter:
Area:
Answers
Answer:
perimeter-3+6+3+10+6+4=32m
area- 10×6=60m²
What is the slope of the line shown?
Answers
Answer:
m=-2/-1 or m=-2
Step-by-step explanation:
Find two points on the line, then use this formula: m=rise/run or m=y2-y1/x2-x1
m=0- 2/-3-(-2)
m=-2/-1 or m=-2
[tex]Simplify: \frac{ 5×(25)^{n+1} - 25 × (5)^{2n}}{5×(5)^{2n+3 }- (25)^{n+1}} \\ [/tex]
Need help please"....."
Answers
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
please help me
An Uber driver charges $5.00 per mile driver, and $3.50 to pick up a rider.
Part A: Write a function rule for the total cost for n cost to take an Uber.
Part B: How much does a 20 mile trip cost?
Part C: Does a 10 mile trip cost half as much as a 20 mile trip cost? Explain.
Answers
Answer:
1) y=3.5+(5•x)
2) 103.5
3) No, because 5•20 is 100 and 5•10 is 50, BUT with both you still have to add 3.5 no matter what because of the $3.50 to pick up the rider
Answer:
im gonna go with c
jerome completes 8 extra credit problems and then 4 problems each day until the worksheet is done.28 problems is on the worksheet.
Answers
Explosion:28-8=20 20/4=5
Please help! I need help T-T
Answers
Answer:
$130.00
Step-by-step explanation:
674-284=390
390/3=130
what that person said :(
complete the simpliflication:
please help giving brainlest
Answers
Answer:
Step-by-step explanation:
Which functions have graphs that are steeper than the graph of f(x) = -3x2 ? Select each correct answer.
Answers
Answer:
the answer would be:
g(X)
and
m(X)
Step-by-step explanation:
make me as Brainliest sorry if I am wrong
what is the first natural number
A.0 B.1. C.-1
Answers
Answer:
1
Step-by-step explanation:
1 is the first natural number because 0 is not a natural number.
All natural numbers are numbers from 1 onward.
Ex. 1.2.3.4.5.6...
Use a property of equality to solve this equation:
4.5x = 18
x =
Answers
Answer:
4
Step-by-step explanation:
x= 18÷4.5=4
hope it helps
step 1: divide both sides by 4.5
x = 18/4.5
x = 4
Use the Pythagorean Theorem to find the distance between the point (1,4) and (-5,-4) on the coordinate plane? (FREE RESPONSE)
PLZ I NEED IT RIGHT NOW
Answers
Answer:
hope this helps
x^2 + y^ = c^2
The horizontal distance of the triangle is just the distance between their x values:
x = 1 - -5 = 6
The vertical distance of the triangle is just the difference between their y values:
y = 4 - -4 = 8
6^2 + 8^2= c^2
36 + 64 = c ^2
100 = c^2
10 = c
Rationalise the denominator of: -7/(√11 - √5)
Answers
[tex] \sf \underline{ \red{Solution - }} \\ [/tex]
Given,
[tex] \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} }} \\ [/tex]
The denominator is √11 - √5.
We know that
Rationalising factor of √a-√b is √a+√b.
Therefore, the rationalising factor of √11-√5 is √11+√5.
On rationalising the denominator them
[tex] \longrightarrow \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} \times \dfrac{(\sqrt{11} + \sqrt{5})}{(\sqrt{11} + \sqrt{5})} }} \\ [/tex]
Multiplying (√11 + √5) with both the numerator of the fraction.
[tex] \longrightarrow \sf{\quad { \dfrac{-7(\sqrt{11} + \sqrt{5}) }{(\sqrt{11} - \sqrt{5})(\sqrt{11} + \sqrt{5})} }} \\ [/tex]
Performing multiplication in the numerator and by using identity (a + b)(a - b) = a² - b², solving further in the denominator.
[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{(\sqrt{11})^2 - (\sqrt{5})^2} }} \\ [/tex]
Writing the squares of the numbers in the denominator.
[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{11 -5} }} \\ [/tex]
Performing subtraction in the denominator.
[tex] \longrightarrow \quad \underline{ \boxed{ \dfrac{ \textbf{ \textsf{-7 }}\sqrt{ \textbf{ \textsf{11 }}} - \textbf{ \textsf{7}}\sqrt{ \textbf{ \textsf{5 }}}}{ \textbf{ \textsf{ 6}}}} } \\ [/tex]
Hence, the denominator is rationalised.
69632 + 69469 - 59303
Answers
Answer: 79798
Step-by-step explanation:
139101 - 59303
= 79798
please give me a brainliest answer
Answer:
79798
Step-by-step explanation:
69632
+ 69469
= 139101
- 59303
= 79798
Hope this helps :)
Does anybody know the answer to this question f(x)=x^3-x^2-10x-8
Answers
Answer:
(X+1) (x - 4) (x+2)
Step-by-step explanation:
All the coefficients are integers so apply the rational zeros theorem.
The coefficient of x^3 is 1.
Divide (x^3-x2-10x-8)(x+1) = x^2-2x-8 with remainder = 0
The remainder is 0. (x+1) is a factor.
(x + 1) ( x^2 - 2x - 8)
x^2 - 2x - 8 (-4 * 2= 8) and -4 + 2 = -2)
= (x -4) (x+2)
Find the equation for the line that passes through the points (1, 1) And (3, 5)
Answers
Answer:
y = 2x - 1
Step-by-step explanation:
Slope = (5-1) / (3-1) = 4/2 = 2
y-intercept = 1 - (2)(1) = - 1
y = 2x - 1
I need so.e help with this
Answers
Answer:
(3,7) is not a solution
Step-by-step explanation:
You fill in the values x=3 and y=7 in both equations and see if you end up with something that is true.
-5·3 - 2·7 = 23 is not true, because it simplifies to -29 = 23
no need to look further, but if you would, the second equation is also false:
3 + 4·7 = -19 is also not true.
The real solution by the way is (-3, -4).
a person buys 6 bags of chips for 18 dollars. How much is it per bag
Answers
Answer:
hope it helps you..........
Triangles PQR and STU are similar. The length of PQ = 36 cm, RP = 48 cm and QR = 24
cm. THe length of the longest side of triangle STU is 92 cm. What is the perimeter of
triangle STU?
Answers
Answer:
207 cm
Step-by-step explanation:
Because ΔPQR ≅ΔSTU and the longest side in the ΔPQR is RP then the longest side in ΔSTU must be SU = 92 cm
Perimeter of triangle PQR is
P(ΔPQR) = 36+48+24 = 108 cm
Because the triangles are are similar their sides are in proportion.
But how much bigger did the second triangle get?...is (92/48) times bigger
P(ΔSTU) = 180*(92/48) = 207 cm
...you can also use proportions to find each side and then find the perimeter
TU = 24*92 /48 = 46
TS = 36*92/48 = 69
SU = 92
P(ΔSTU) = 92+69+46 =207 cm
*the triangles are not drawn to scale
write four times the sum of a number and one-fourth is less than or equal to nine more the product of two and the number as an inequality
Answers
Answer:
4(x + 1/4) ≤ 9 + 2x
Step-by-step explanation:
pythagorean theorem help meeeeee!!
Answers
Answer:
25
Step-by-step explanation:
remember that the pythagorean theorem is a²+b²=c²
so this equation would be:
7²+24²=c²
solve the exponents
49 + 576 = c²
combine like terms
625 = c²
take the radical of each number
√625 = √c²
25 = c
have a lovely day <3
Find the measures of the angles of a right triangle with one angle whose measure is 10
Answers
Answer:
10, 80 and 90 degrees.
Step-by-step explanation:
The third angle will 90 - 10 = 80 degrees.
Look at the point in the picture. What is the y coordinate?
(3,-2)
Answers
Answer:
-2
Step-by-step explanation:
It's (x,y)
Here, (3,-2)
-2 is y
:)
Viola makes gift baskets for Mother’s Day. She has 13 baskets left over from last year, and she plans to make 5 more each day. If there are 15 work days until the day she begins to sell the baskets, how many baskets will she have to sell? I can't find the rule of the equation.
Answers
Answer:
88 blankets
Step-by-step explanation:
5 times 15 = 75
75 + 13 = 88
4x – 3y = -7
5x – 4y = - 8
Answers
The answer is x=−4 and y=−3
(25 points) Ratio question
If you mix blue and yellow paint in different ratios, you will get different shades of
green paint. If the ratios are equivalent, the shades of green will be the same.
- Clare mixed a batch of green paint using 8 cups of yellow paint and 5 cups of blue paint. Jada mixed another batch of green paint using 6 cups of yell paint and 4 cups of blue paint.
Are these two batches the same shade of green?
Yes
or
No
Answers
Answer:
No
Step-by-step explanation:
Answer:
No, it will not be the same shade of green.
Step-by-step explanation:
For the shade of green to be equivalent that person would need both of the proportions to be equal weather it is 6/4 and 12/8 or 8/5 16/10.
The ratios 8/5 and 6/4 do not match therefore the green the batches make will not be equal.
I hope this helps :D
IF YOU CAN ONLY ANSWER ONE ITS OKAY
Find the slope of a line perpendicular to each given line.
13) -3y = 9 - 4x
14) -y - 1 = 6 x
Answers
13. M=4/3
14. m=-6
Step-by-step explanation:
Divided: x³-2x²-x+2 by x+1. Using long division method.
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that
[tex] \purple{\rm :\longmapsto\:Dividend = {x}^{3} - {2x}^{2} - x + 2}[/tex]
and
[tex] \purple{\rm :\longmapsto\:Divisor = x + 1}[/tex]
So, By using Long Division Method, we have
[tex]\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{}}}&{\underline{\sf{\:\: {x}^{2} - 3x + 2\:\:}}}\\ {\underline{\sf{x + 1}}}& {\sf{\: {x}^{3} - {2x}^{2} - x + 2 \:\:}} \\{\sf{}}& \underline{\sf{- {x}^{3} - {x}^{2} \: \: \: \: \: \: \: \: \: \: \:\:}} \\ {{\sf{}}}& {\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: - 3{x}^{2} - x +2 \: \: \: \: \: \: \: \:\:}} \\{\sf{}}& \underline{\sf{\:\: \: \: \: \: \: \: \: \: \: \: 3{x}^{2} + 3x \: \: \: \: \: \: \:\:}} \\ {\underline{\sf{}}}& {\sf{\:\: \: \: \: \: \: \: \: \: \: \: \: \: 2x + 2 \:\:}} \\{\sf{}}& \underline{\sf{\: \: \: \: \: \: \: \: \: \: \: \: - 2x - 2\:\:}} \\ {\underline{\sf{}}}& {\sf{\:\: \: \: \: \: \: \: \: \: \: \: \: \: \: 0\:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}[/tex]
So,
[tex]\bf\implies \:Remainder = 0[/tex]
Verification
[tex] \purple{\rm :\longmapsto\:Dividend = {x}^{3} - {2x}^{2} - x + 2}[/tex]
[tex] \purple{\rm :\longmapsto\:Divisor = x + 1}[/tex]
[tex] \purple{\rm :\longmapsto\:Remainder = 0}[/tex]
[tex] \purple{\rm :\longmapsto\:Quotient = {x}^{2} - 3x + 2}[/tex]
Now, Consider
[tex]\rm :\longmapsto\:Divisor \times Quotient + Remainder[/tex]
[tex]\rm \: = \: (x + 1)( {x}^{2} - 3x + 2) + 0[/tex]
[tex]\rm \: = \: {x}^{3} - {3x}^{2} + 2x + {x}^{2} - 3x + 2[/tex]
[tex]\rm \: = \: {x}^{3} - {2x}^{2} - x + 2[/tex]
[tex]\rm \: = \: Dividend[/tex]
Hence, Verified
CARRY ON LEARNING
CAN YOU BRAINLEST ME PLEASE
The graph shows the number of servings in different amounts of frozen yogurt listed on a carton. Enter an equation that gives the number of servings y in x pints. Use only decimal form, if necessary.
The equation is y =
Answers
Answer:
y=2.5x
Step-by-step explanation:
We have been given a graph that shows numbers of servings (y) in different amounts (x) of frozen yogurt listed on a carton.
To write an equation that gives the number of servings y in x pints, we will have to find the slope (rate of change) of our given linear function.
Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.
m= Slope (rate of change).
=Difference between two y-coordinates.
=Difference between corresponding x-coordinates of the y-coordinates.
Upon substituting coordinates of two points (0,0) and (4,10) in slope formula we will get,
The slope of our given line is 2.5.
Now we will write equation of our given line is slope-intercept form. The equation of a line in slope-intercept form is: , where m=slope and b = y-intercept (initial value).
Upon substituting m=2.5 and coordinates of point (4,10) in slope-intercept form of equation we will get,
Upon substituting m=2.5 and b=0 in slope-intercept form of equation we will get,
Therefore, the equation will give the number of servings y in x pints.
Solve for n
n - 17=3
Answers
Answer:
N=20
Step by Step:
First you add 17 to both of the sides:
N−17+17=3+17
Second, you simplify;
N=20
Brainiest please?
Answer:D
Step-by-step explanation:
Which ordered pairs are solutions to the inequality 2x +y > -4? Select each correct answer. (0, 1) (-3,0) (4 – 12) (-1, -1) (5,- 12 )
Answers
Answer:
(5,-12)
(-3,0)
(-1,-1)
Step-by-step explanation:
For (4, −12): 2(4) - 12 = 8 - 12 = -4 [false]
For (−3, 0): 2(-3) = -6 < -4 [false]
For (5, −12): 2(5) - 12 = 10 - 12 = -2 > -4 [true]
For (0, 1): 2(0) + 1 = 1 > -4 [true]
For (−1, −1): 2(-1) - 1 = -2 - 1 = -3 > -4 [true]
Therefore, (5, -12), (0, 1) and (-1, -1) satisfies the inequality 2x + y > -4
For (7, 12): 12 - 2(7) = 12 - 14 = -2 > -3 [false]
For (0, −2): -2 - 2(0) = -2 > -3 [false]
For (5, −3): -3 - 2(5) = -3 - 10 = -13 < -3 [true]
For (−6, −3): -3 - 2(-6) = -3 + 12 = 9 > -3 [false]
For (1, −1): -1 - 2(1) = -1 - 2 = -3 [true]
Therefore, (5, -3) and (1, -1) satisfy the inequality y - 2x ≤ -3
The situation is represented by 2.25x + 2.65y ≥ 8