Answer: (0,-1)
Step-by-step explanation:
Let's start with the first inequality, [tex]y < -x^{2}+x[/tex]. To check which points satisfy this inequality, we can substitute the x- and y-coordinates and see if they satisfy the inequality.
A) [tex]-1 < -0^{2}+0 \longrightarrow -1 < 0 \longrightarrow \text{ True}[/tex]B) [tex]1 < -1^{2}+1 \longrightarrow 1 < 0 \longrightarrow \text{ False}[/tex]C) [tex]-3 < -2^{2}+2 \longrightarrow -3 < -2 \longrightarrow \text{ True}[/tex]D) [tex]-6 < -3^{2}+3 \longrightarrow -6 < -6 \longrightarrow \text{ False}[/tex]Once again, we can repeat this for the second inequality (but this time, we only need to check the points that satisfy the first inequality).
A) [tex]-1 > 0^{2}-4 \longrightarrow -1 > -4 \longrightarrow \text{ True}[/tex]C) [tex]-3 > 2^{2}-4 \longrightarrow -3 > 0 \longrightarrow \text{ False}[/tex]Therefore, the answer is (A) (0, -1).
the perimeter of a rectangle is 20 cm and it's area is 24cm^2 find the length and breath of the rectangle
Answer:
length = 6cm , breadth = 4cm
Step-by-step explanation:
Let's assume length = l
breadth = b
Given perimeter of a rectangle = 20 cm
2(l+b) = 20
l+b = 20/2
l+b = 10
l = 10 - b____(1)
Given area of rectangle = 24 cm²
l×b = 24____(2)
(1) in (2) => l × b = 24
(10-b) × b = 24
10b - b² = 24
10b = 24 + b²
0 = b² - 10b + 24
b² - 10b + 24 = 0
b² + 6b + 4b + 24 = 0
b(b+6) +4(b+6) = 0
(b+4)(b+6) = 0
b+4 = 0. &. b+6 = 0
b = -4. b = -6
breadth must be less than length and it should be positive
So b = 4 cm
b=4 in (1)
(1)=> l = 10 - b
l = 10 - 4
l = 6
help mee answer the question
..............................................
AMSWER ASAP PLEASE PLEASE PLEASE
Answer:
(2,14)
Step-by-step explanation:
so i solved this with substitution but there are other methods to solve this!
equation 1 : y = -x + 16
equation 2 : y = x + 12
solve for y in equation 1 !!
y = -x + 16
(add x on both sides)
y + x = 16
(subtract y on both sides)
x = -y + 16
equation 1 now equals : x = -y + 16
substitute equation 1 into equation 2 :)
y = (-y + 16) + 12
(add 16 + 12)
y = -y + 28
(add y on both sides)
2y = 28
(divide 2 on both sides)
y = 14
now to solve for x you can insert y !
you can use equation 1 or equation 2 to solve for x.
i'm using equation 2 :
y = x + 12
(14) = x + 12
(subtract 12 on both sides)
x = 2
therefore, the answer is (2, 14).
hope this helps :p
Solve for x in the equation x squared 4 x minus 4 = 8.
Answer:
±2√3
Step-by-step explanation:
Equation :
x² -4 = 8
x² -12 = 0
Using the quadratic formula then simplifying gives you :
±2√3
I know this lacks explanation but please brainliest
Answer:
x=2 or -6
Step-by-step explanation:
×^2+4×-4=8
8 will enter inside and become -8
x^2+4x-4-8=0
x^2+4x-12
(x^2+6x)(-2x-12)
x(x+6)-2(x+6)
(x-2)(x+6)
x=2 or x=-6
What is the x and y intercept of y=1/3x-2, y=12-6x, and y=3x-7? Please show work!
Answer:
y = 1/3x - 2:
y - intercept: - 2x - intercept: 6y = 12 - 6x:
y - intercept: 12x - intercept: 2y = 3x - 7:
y - intercept: -7x - intercept: 7/3Step-by-step explanation:
Hello!
Slope Intercept FormThe slope-intercept form of a line is [tex]y = mx + b[/tex]
y = output, ordinatem = slopex = input, abscissab = y-intercepty = 1/3x - 2The y-intercept is the "b" value of the line, given as -2.
To find the x-intercept, we simply replace the y-value with 0:
0 = 1/3x - 22 = 1/3x6 = xy - intercept: - 2
x - intercept: 6
____________________________________________________
y = 12 - 6x
You can rearrange the equation, y = -6x + 12, to find the y-intercept: 12.
Solving for the x-intercept (remember, replace y with 0):
0 = -6x + 12-12 = -6x2 = xy - intercept: 12
x - intercept: 2
____________________________________________________
y = 3x - 7Simply take the "b" value, -7, to find the y-intercept of -7.
Solve for the x-intercept:
0 = 3x - 77 = 3xx = 7/3y - intercept: -7
x - intercept: 7/3
Additional Note:
You can also solve for the y-intercept by replacing x with 0. This method can be used for any interests, just plug in the opposite variable from what you are solving for with 0.
The proof is that the x-intercept is the value when the y = 0, the x-axis. You can plug in 0 for y to solve for x. Similarly, when solving for the y-intercept, you plug 0 for x as the y-axis is at x = 0.
True or False?
A square can be similar to a triangle since a square is composed of two triangles.
When Ronald goes to BIG Burgers, he orders a sandwich and a side order. For the
Answer:
true is the answer not hard question
Please help and thanks
Choose the correct answer
2x>12x and 7x<14
Answer:
C - x < -6 and x < 2
Step-by-step explanation:
2x ">" -12 and 7x < 14. with negative numbers, the bigger the number the less it is. -12 < -6 because negative numbers work the opposite way that positive numbers do. I hope this helps you!!!!
You owe 3 of your friends $15 dollars each. Before you pay your friends back, you
have $52. How much money do you have after paying your friends back?
Answer:
$7
Step-by-step explanation:
Since you have to pay 3 of your friends $15 each, you would multiply 15 by 3 and get 45. Then you would subtract that from 52 and you would get $7.
Which list correctly orders A, B, and C from least to greatest when A=171, B = -6, and C=1-51?
A, B, C
B, C, A
C, B, A
A, C, B
PLEASE HELP ASAP
What is the missing statement for the sixth step in the proof below?
Answer:
C
Step-by-step explanation:
The last reasoning is the side angle side theorem. In the whole proof, there is no mention of an angle. So the answer has to involve prooving that the angle in between the two sides that have been proven similar is the same in both traingles. This is best accomplished by statement C.
A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.2 meters per week. After 7 weeks, the sheet is only 2.4 meters thick.
Let y represent the ice sheet's thickness (in meters) after x weeks.
Complete the equation for the relationship between the thickness and number of weeks.
y=_____
The equation for the relationship between the thickness and number of weeks is y = 3.8 - 0.2x
How to write equation?Ice lost per week = 0.2 metersIce remaining after 7 weeks = 2.4 metersNumber of weeks = xRelationship between the thickness and number of weeks = yIce lost at 7 weeks = 7(0.2) = 1.4 meters
Total thickness of ice before loss = Ice remaining after 7 weeks + Ice lost at 7 weeks
= 2.4 + 1.4
= 3.8 meters
The equation:
y = Total thickness of ice before loss - (Ice lost per week × Number of weeks)
= 3.8 - (0.2 × x)
y = 3.8 - 0.2x
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Please help! Giving brainlist!
This table shows input and output values for a linear function f(x)
What is the difference of outputs for any two inputs that are three values apart.
Express your answer as a decimal.
The answer is 0.75 because I took the test and that's what the answer was :)
Solve for x
−5(-3x-3)+5x+4=-1
A flower pot hangs from a brace. △MNQ and △MNP form the brace what is the value of x?
The value of x from the given triangle formed by the pot hanging from a brace is; x = 50°
How to find the missing angle in a triangle?
We are given from the diagram that;
∠NMP = 110° and ∠NPM = 30°
Sum of angles in a triangle is 180°.
Thus;
∠MNP = 180 - (110 + 30)
∠MNP = 40°
Thus;
x = 90 - 40
x = 50°
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Calculate the area of the following composite figure. (Please i need help with this)
The area of the composite shape in the diagram given is: 100 square inches.
How to Find the Area of a Composite Figure?Area of a composite figure = sum of the areas of the shapes that make up the figure.
Area of the composite shape = 2(area of triangle) = 2(1/2bh)
Area of the composite shape = 2(1/2×10×10)
Area of the composite shape = 100 square inches.
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Explain step by step how you find the product of 6x^2y^5 and 3x^2 - 8x + 2xy^2 + 4y^3
The final product is 18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸
What is a product ?
The product is result obtained when a number or an expression is multiplied by the other number.
The product of the given expression
6x²y⁵ and 3x²-8x+2xy²+4y³
6x²y⁵ (3x²-8x+2xy²+4y³)
Step 1 : To multiply each term in the bracket with the other expression
out of the bracket
6*3*x²*y⁵*x² - 6*8*x²*y⁵ +6x²y⁵ *2*x*y² + 6*4*x²y⁵ *y³
Step 2 : The like variables will be solved
18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸
This is the final product
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If f (x) = StartRoot one-half x minus 10 EndRoot + 3, which inequality can be used to find the domain of f(x)?
StartRoot one-half x EndRoot greater-than-or-equal-to 0
One-half x greater-than-or-equal-to 0
One-half x minus 10 greater-than-or-equal-to 0
StartRoot one-half x minus 10 EndRoot + 3 greater-than-or-equal-to 0
The inequality that represents the domain of the function is [tex]\frac 12x - 10 \ge 0[/tex]
How to determine the domain?The function is given as:
[tex]f(x) = \sqrt{\frac 12x - 10} + 3[/tex]
Set the radicand greater than or equal to 0
[tex]\frac 12x - 10 \ge 0[/tex]
Multiply through by 2
x - 20 ≥ 0
Add 20 to both sides
x ≥ 20
Hence, the domain of the function is x ≥ 20
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Q: Sam challenges Tom to a race. If Sam can run 6 meters per second and Tom can run at 7 meters per
second. After a minute and a half how far apart will they be?
Answer:
90 meters
Step-by-step explanation:
so, what we know is that there are 90 seconds in one minute and a half.
Sam can run 6 meters per second. which means after 90 seconds, he should have run 540 meters.
Tom can run 7 meters per second. This means after 90 seconds, he should have run 630 meters.
630-540 = 90
give brainliest please!
hope this helps :)
A population of beavers decreases exponentially at a rate of 7.5% per year. What is the equivalent monthly rate to the nearest hundredth of a percent
Answer:
0.65%
Step-by-step explanation:
i took the test
help please and I'll mark you brainiest.
The probability will include:
P(A and 1) = 1/24P(C and 2) = 1/12.P(B and 3) = 1/12.P(A and 4) = 1/12How to calculate the probability?The probability of P(A and 1) will be:
= 1/4 × 1/6
= 1/24
The probability of P(C and 2) will be:
= 1/4 × 2/6
= 1/12
The probability of P(B and 3) will be:
= 2/4 × 1/6
= 1/12
The probability of P(A and 4) will be:
= 1/4 × 2/6
= 1/12
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I need help
30 POINTS!!!!
Answer:
A. Upward
B. (-2, -1)
C. X= -3, -1 ||| Y= 3
D. X=-2
Step-by-step explanation:
the ratio of Â, B and C in triangle ABC is 2:3:4. calculate the size of each angle
Answer:
40°, 60°, 80°
Step-by-step explanation:
sum the parts of the ratio , 2 + 3 + 4 = 9 parts
the sum of the 3 angles in a triangle = 180° , then
180° ÷ 9 = 20° ← value of 1 part of the ratio , then
2 parts = 2 × 20° - 40° = ∠ A
3 parts = 3 × 20° = 60° = ∠ B
4 parts = 4 × 20° = 80° = ∠ C
The inverse of f(x)= 2x + 3 is written:
Answer:
It should be x-3/2 (also written as "(x-3)÷2")
Step-by-step explanation:
y=2x+3
switch the y and x
x=2y+3
solve for y
x/2=y+3
x-3/2=y
If you graph these two functions you will see that y=2x+3 give the points (-1.5,0) and (0,3) and x-3/2 give (0,-1.5) and (3,0). because you've switched the x number to the y number you've "inversed" it
One day Maria spends 6/20 of the day asleep. Calculate in hours and minutes the amount of time she spends asleep.
Answer:
7 hours and 12 minutes
Step-by-step explanation:
there are 24 hours in a day, so multiply 6/20 by 24 to find the number of hours:
6*24/20 = 36/5 = 7 1/5 hours
we now know maria sleeps for 7 whole hours
next, there are 60 minutes in an hour, so multiply 1/5 by 60 to get 12 minutes
Find the area and volume of a 11 inch cube (pls write do the equation in steps)
Answer:
1331 inches cubed
Step-by-step explanation:
V=LHW
since it is a cube, the length, height, and width will all be the same; 11 inches. You have to multiply 11 by 11 by 11, which equals 1331.
Hope this helped!
Write the equation of the line that passes through the points (-3,3) and (4, -1).
put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line,
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-3)}}} \implies \cfrac{-4}{4 +3} \implies \cfrac{ -4 }{ 7 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{4}{7}}(x-\stackrel{x_1}{(-3)})\implies y-3=-\cfrac{4}{7}(x+3)[/tex]
Can someone answer question 1-6
Answer:
Equation- a statement of the equality of two mathematical expressions Ex: 4 + 2 = 3 + 3Table of value- a set of ordered pairs usually resulting from substituting numbers into an equation (relation)Set of coordinate points- a set of numbers that show an exact point on a graph Ex: (2, -6)Graph- the collection of all points whose coordinates satisfy a given relationPattern- a repeated design of things like; numbers, shapes, colors, etc Ex: O $ X O $ X O $ XWord description- give a verbal description of its elements.Step-by-step explanation:
Hope I did it right, tell me if its wrong.
What does x= please help
The value of x is 8
This question is a proportion. To solve it, let's assemble it as follows:5 = 4
10 x
Now, just multiply in the form of a cross. Then, let's split the terms:5 . x = 10 . 4
5x = 40
x = 40 ÷ 5
x = 8
So, the result of x will be 8
An arithmetic sequence has this recursive formula:
{ A1=5
{An= An-1-4
What is the explicit formula for this sequence?
A. an= (-1) + (n - 5)(-4)
B. an=5+ (n − 1)(-4)
C. an= 5+ (n-4)(-1)
D. an= (-4) + (n − 1)5
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is B.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
Given A₁=5 and An= A₍ₙ₋₁₎-4, therefore we can write,
aₙ = a₁ + (n-1)d
Aₙ= 5+(n-1)(-4)
Hence, the correct option is B.
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