Answers
Answer:
y=-1/3x+1 Is this what you are asking for
Step-by-step explanation:
(3,0) and (0,1)
Now, find the slope !
m = (y2-y1) / (x2-x1)
:. m = (1-0) / (0-3)
m = - 1/3
According to the equation
y = mx + b
Substitute one of points with x and y, ex (3,0)
0 = -1/3 x 3 + b
:. b = 1
So, the equation will be :
y = -1/3X + 1
Since the points located at below !
So, the inequality will be less than or equal
y ≤ -1/3X + 1
Related Questions
Triangle ABC is isosceles.
Triangle A B C is shown. The lengths of sides A C and A B are congruent. Angle C A B is (x + 5) degrees. Angle A B C is (3 x) degrees.
What is the measure of angle C?
25°
30°
60°
75°
Answers
Answer: 75°
Step-by-step explanation:
Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:
x + 5 + 3x + 3x = 180
simplify
7x + 5 = 180
subtract 5 from both sides
7x = 175
divide each side by 7
x = 25
plug 25 in for x to find the angle measure
3(25) = 75
The measure of angle ∠C would be 75 degrees which is the correct answer would be option (D).
The lengths of sides AC and AB are congruent.
Angle CAB = (x + 5) degrees.
Angle ABC = (3 x) degrees.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
We may deduce that ABC and ACB are congruent by using the Base Angles Theorem. Because the angles of a triangle sum up to 180 degrees, we may solve for x using this equation:
⇒ x + 5 + 3x + 3x = 180
Rearrange the likewise terms and apply the arithmetic operation,
⇒ 7x + 5 = 180
Subtract 5 from both sides of the above equation,
⇒ 7x = 175
Divide both sides by 7 of the equation,
⇒ x = 25
Since Angle ∠ABC is (3 x) degrees.
Substitute the value of x = 25 to find the angle measure
⇒ Angle ∠C = 3(25) = 75°
Therefore, the measure of angle ∠C would be 75 degrees.
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Which is the graph of f(x) = x2 – 2x + 3?
Answers
Answer:
Step-by-step explanation:
We cannot factor this function out which tells us that there are no zeros. The graph backs this up because we can see that there are none. The easiest way to graph this would start by plugging in points and making a table for yourself.
Lets start by plugging in -1.
(-1)^2-2(-1)+3 =6, this means we have a point at (-1,6).
Now lets plug in 0.
(0)^2-2(0)+3= 3 (0,3)
For plugging in 1
(1)^2-2(1)+3=2 (1,2) (this happens to be the vertex)
And lastly lets plug in 2
(2)^2-2(2)+3=3 (2,3)
Depending on how many points are needed, keep plugging in numbers like we did above.
Answer:
A
Step-by-step explanation:
Edge 2021
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answers
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
The function h(x) = x + 1 is formed by adding two functions, f(x) and g(x). The function j(x) = 3x – 6 is formed by multiplying the same functions. Which could be true of f(x) and g(x)? Check all that apply.
Both functions must be linear functions.
Both functions must have a positive rate of change.
The rate of change of both f(x) and g(x) must be less than 3.
The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
The y-intercepts of f(x) and g(x) must be between –6 and 1.
Answers
Answer: this is the right answer Both functions must be linear functions. And The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
Step-by-step explanation:
The true statements about the functions f(x) and g(x) are (a), (c) and (d)
How to determine the true statement?The functions are given as:
h(x) = x + 1
j(x) = 3x - 6
From the question, we have:
h(x) = f(x) + g(x)
j(x) = f(x) * g(x)
Expand the function j(x)
j(x) = f(x) * g(x) = 3 * (x - 2)
By comparison, we have:
f(x) = 3
g(x) = x - 2
f(x) + g(x) = 3 + x - 2
f(x) + g(x) = x + 1
This gives
h(x) = x + 1
By analyzing the functions f(x) = 3 and g(x) = x - 2, we can see that:
Both functions are linear functionsThe rates of change of the functions are less than 3The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.Hence, the true statements are (a), (c) and (d)
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2/3 + (-5/7)
.........
Answers
Answer:
-1/21
Step-by-step explanation:
2/3 + -5/7
Get a common denominator of 21
2/3 *7/7 = 14/21
-5/7*3/3 = -15/21
14/21 - 15/21 = -1/21
Answer:
-1/21
Step-by-step explanation:
2/3 + (-5/7)
2/3 - 5/7
Lcm: 21
(2×7 - 5×3)/21
(14 - 15)/21
-1/21
What is an equation of the line that passes through the point (4, -3) and is
perpendicular to the line
4x +y = 3?
Answers
Answer:
y = 1/4x - 4
Step-by-step explanation:
If you put the equation in slope-intercept form y=mx+b, then you have y=-4x+3, so the slope is -4. Then take the negative reciprocal of that so you have the perpendicular slope 1/4. Plug in x, y, and, m into the equation and solve for b.
-3 = 1/4(4) + b
-3 = 1 + b
-4 = b, then rewrite the equation with the new slope and the b you found.
y = 1/4x - 4
Which of the following formulas is used to calculate the probability of independent events A and B?
A. P(AUB) = P(A) + P(B)
B. P(AUB) = P(A) P(B)
C. P(A and B) = P(A) + P(B)
D. P(A and B) = P(A) P(B)
Answers
The population P of birds in an area is modeled by the exponential model
P(t) = 30e-95t where t represents time in years.
Is the population of birds increasing or decreasing?
a. Increasing
b. Decreasing
Answers
Could i get some help on this please?
Answers
Answer:
27, 12, 9, 6, 4, 3
Step-by-step explanation:
please vote me brainliest
Which of the following functions has the largest value when x= 3? Show your work.
p(x) = 2x^2 + 4x + 11
h(x) = 4x
s(x)=10x
Answers
Answer:
p(x)
Step-by-step explanation:
Substitute x = 3 into each function and calculate the value.
p(3) = 2(3)² + 4(3) + 11 = 2(9) + 12 + 11 = 18 + 12 + 11 = 41
h(3) = 4(3) = 12
s(3) = 10(3) = 30
Thus p(x) = 41 is the largest value when x = 3
The point (5, -2) is rotated 90° about the origin. Its image is
(-2, 5)
(2, 5)
(-5, 2)
Answers
Answer:
(2,5)
Step-by-step explanation:
The rule to 90 degrees about the origin is (x,y) to (-y,x). You basically switch the values of y and x but remember the value of y is negative. The value of y is -2 so -2 is now 2 since the rule changed the sign (-2×-y=2) and 5 isnt affected except it is the x value. Just know that since they r switched, x is now 2 and y is 5 when rotated 90 degrees about the origin.
Answer:
(2,5)
Step-by-step explanation:
What are the solutions to the equation?
x2 + 6x = 40
Ox=-10 and x = 4
O x= -8 and x = 5
Ox= -5 and x = 8
x= -4 and x = 10
Answers
Answer:
A. x=4 and x= -10
Step-by-step explanation:
x^2 +6× = 40
x^2 +6x -40
(x-4)(x+10)
x-4 = 0
x+10 = 0
x= 4
x=-10
The solutions to the equation are x = -10 and x = 4.
Option A is the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To solve the equation x² + 6x = 40,
We need to first rearrange it into the standard quadratic form of:
ax² + bx + c = 0.
x² + 6x - 40 = 0
Now, we can factor the quadratic expression or use the quadratic formula to solve for x.
Factoring:
(x + 10)(x - 4) = 0
Setting each factor equal to zero and solving for x gives:
x + 10 = 0 or x - 4 = 0
x = -10 or x = 4
Therefore,
The solutions to the equation are x = -10 and x = 4.
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What is the area of the regular pentagon with 5 inch sides and an apothem that measures 4.2 inches?
Answers
Answer:
43.01m^2
Step-by-step explanation:
[tex]A=\frac{1}{4} \sqrt{5(5+2\sqrt{5}) } a^2\\[/tex]
This is the formula for a pentagon
Answer:52.2in
Step-by-step explanation:
Did it on a test and got it correct
!! Please help!!
With the exception of 1 and 63, find all the numbers that divide into 63 with no remainder
A. 2, 3,6
B. 3,9,21
c. 3,7
D 3,7,9, 21
E, 3,7,9
Answers
Answer:
the factors of 63 are:
1,3,7, 9, 21, 63
D. 3, 7, 9, 21, 63
Step-by-step explanation:
Given f(x)=(x+5)(x-2), what are the x-intercepts?
Answers
Answer:
The intercepts are -5 and 2
Step-by-step explanation:
Using the zero product property
f(x)=(x+5)(x-2)
0 =(x+5)(x-2)
0 = (x+5) 0=(x-2)
x = -5 x = 2
The intercepts are -5 and 2
Which of the following functions is graphed below?
ASAP !!
Answers
Answer:
B. y=[x]+4
when you plug it into the calculator you get b
Can someone help me on this one.
Answers
2. 10 minutes
Answers:
a) 6km/hour
b) 10 minutes
Step-by-step explanation:
a) after 30 minutes, Jo had walked 3km which means that after 1 hour
(30mins x 2), Jo would have walked 6km (3km x 2).
∴ Jo walks 6km/hour for the first 30 minutes
b) after 30 minutes, there is a flat line on the graph that stretches from 30 minutes to 40 minutes. The flat line indicates that Jo covered NO distance and was therefore taking a break. from 30 mins to 40 mins is 10 mins
∴ Jo's rest was 10 mins long
Hope this helps :-)
1/3 x 1 1/4 as a fraction
Answers
Answer:
11/12
Step-by-step explanation:
1
3
(
11
4
)
=(
1
3
)(
11
4
)
=
(1)(11)
(3)(4)
=
11
12
(Decimal: 0.916667)
PLease mark me brainllest!!!
The given equation in fraction should be [tex]\frac{5}{12}[/tex]
Calculation of the fraction:Since two fractions are given i.e. [tex]\frac{1}{3}[/tex] and [tex]1 \frac{1}{4}[/tex]
We have to multiply these two in fractions
So,
[tex]= \frac{1}{3} \times 1\frac{1}{4}\\\\ = = \frac{1}{3} \times \frac{5}{4} \\\\= \frac{5}{12}[/tex]
Therefore, we can concluded that The given equation in fraction should be [tex]\frac{5}{12}[/tex]
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Triangle MNO is reflected over the x-axis and then translated up 4 and right 3. On a coordinate plane, triangle O M N has points (1, 3), (2, 1), (negative 1, 2). Triangle O prime M prime N prime has points (4, 1), (5, 3), (2, 2).
How can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same
position?
Answers
Answer:
Option A. Translate the pre-image down 4 and right 3 and then reflect the figure over the x-axis
Step-by-step explanation:
The required translation is to translate triangle MNO 4 units down and 3 units left. Option A is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.
Here,
Triangle MNO is reflected over the x-axis and then translated up 4 and right 3.
On a coordinate plane, triangle OMN has points (1, 3), (2, 1), and (-1, 2). Triangle O'M'N' has points (4, 1), (5, 3), (2, 2).
Before reflection, the translation of MNO is given as 4 units down and 3 units left.
Thus, the required translation is to translate triangle MNO 4 units down and 3 units left. Option A is correct.
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The exponential function f, represented in the table, can be written as
f (x)=a*b^x
x | y
___
0|5
1 | 8
Answers
Answer:
f(x) will be 11
Step-by-step explanation:
since the first 1 is (0,5) the (0,8) so +3 so next would be 11
Answer:
5(8/5)^x
Step-by-step explanation:
Find the area of the sector.
Answers
Answer:
Step-by-step explanation:
Area of sector = angle/360 * pi * r^2
r is 19m
37/360 * 22/7 * 19 * 19
Area = 116.61 m^2
The sum of three consecutive terms of an A.P is 18 and their product is 120. Find the terms?
Answers
Answer:
2 6 10
Step-by-step explanation:
Find the volume of the planets
Answers
Answer:
can you show the planets. or do you want real planets volumes?
Giving Brainliest to teh right answer! Come quick!
Answers
Answer:
x=65
Step-by-step explanation:
145 and 2x+15 are vertical angles meaning that they are congruent to each other. Subtract 15 from both sides, and divide by 2 giving x=65.
Hope this helps!
x=?? will give brainliest
Answers
Answer:
I think its a right angled triangle
and so x= 90°
If it is 5 degrees outside, and the temperature will drop 12
degrees in the next six hours, what will the temperature be in six
hours?
Answers
Answer:
-7 degrees
Step-by-step explanation:
Dropping 12 degrees means that it will get colder by 12 degrees. The colder it gets, the lower the temperature. 5 degrees - the current temperature, is going to be dropped by 12 degrees. To calculate this: 5-12 = -7 (degrees)
Which is a solution for the equation 2x - 3 = 33?
O n = 12
On = 13
On = 18
On = 19
Answers
Answer:
x = 18 hope this helps
(33+3=36)
(36÷2=18)
x = 18
hope this helps
A used book sale charged $7.50 for hardcovers and $1.25 for paperbacks. During the sale, 15 hardcovers were sold and the sale earned $166.25. Write and solve an equation to determine the number of paperbacks, p, that were sold.
20 points i think
Answers
Answer:
43 paperback books
Step-by-step explanation:
7.50(15) + 1.25x = 166.25
112.50 + 1.25x = 166.25
Subtract 112.50 from both sides
(112.50 - 112.50) + 1.25x = (166.25 - 112.50)
1.25x = 53.75
Divide 1.25 from both sides
x = 43
math question down below
( multiple choice)
Answers
Answer:
A
Step-by-step explanation:
I added all the numbers for both trucks and I got 800 on both of them.
ariq’s design for a swimming pool is shown here. What is the area of the pool cover needed for the design?
____ ft^2
Answers
Answer:
it’s 76 ft squared
Step-by-step explanation:
happy to help:)
