Write a system of inequalities to match the graph and prove that the coordinate point (-10, -14) is in the solution set
Answers
Answer:
y < x - 2
y ≥ 2x + 5
Step-by-step explanation:
For the equation of the dotted line,
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Since the dotted lines passes through the points (-7, -9) and (2, 0)
Slope = [tex]\frac{-9-0}{-7-2}[/tex]
[tex]m_1[/tex] = 1
Therefore, equation of the line passing through (2, 0) and slope = 1 will be,
y - y' = m₁(x - x')
y - 0 = 1(x - 2)
y = x - 2
Since, shaded area is below the dotted line,
y < x - 2 will be the inequality.
Slope of the solid line passing through (-7, -9) and (0, 5) is,
[tex]m_2=\frac{-9-5}{-7-0}[/tex]
= 2
Therefore, equation of the line passing through (0, 5) and slope = 2 will be,
y - 5 = 2(x - 0)
y = 2x + 5
Since, the given line is a solid line and shaded area is above the line,
y ≥ 2x + 5 will be the inequality.
Since, (-10, -14) is lying in the common shaded area of both the inequalities, it will be the solution set of the graphed inequalities.
Related Questions
Population of Olde Town
What is the slope for this scenario?
0-500
0.250
200
Answers
Answer:
- 250
Step-by-step explanation:
Pick two points along the line of the graph
(4,7000) and (8,6000)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (6000-7000)/(8-4)
-1000/4
- 250
Answer:
-250
Step-by-step explanation:
which is right??????
Answers
Answer:
Point D
Step-by-step explanation:
To draw a perpendicular bisector between BE, you have take more than half of the length BE on the compass. So, it should be D
I need to change the subject to x
Answers
(x - 4y) / w = 9
Multiply both sides by w
x - 4y = 9w
Add 4y to both sides
x = 9w + 4y
Mr. Andrews is trying to lose weight. He starts the year weighing 254 pounds. If he plans to burn enough colories to lose 4 pounds per week, then how many weeks will poss before Mr. Andrews weighs 228 pounds? Variable: bit bin Solutions
Answers
Answer:
6.5
Step-by-step explanation:
it will take Me. andrews 6.5 weeks to get to 228 pounds
its a image, i attached here.
Answers
Answer:
Step-by-step explanation:
First expression
54+11 =65
second expression
7x+13x= 20x
Third expression
(7x+54)+(13x+11)
7x+54+13x+11
(7x+13x)+(54+11)
20x+65
Fourth expression
In your own opinion, how does the problem in the middle relate to the problems on the side?
from the above first two expression
first value of each expression was combined to make 7x+54
second value of each expression was combined to make 13x+11
Solve 5x - 4< 2x + 5. Enter your answer as an inequality.
Answers
Answer:
x < 3
Step-by-step explanation:
5x - 4 < 2x + 5
Subtract 2x from both sides
5x - 4 - 2x < 2x + 5 - 2x
5x - 2x - 4 < 2x - 2x + 5
3x - 4 < 0 + 5
3x - 4 < 5
Add 4 to both sides
3x - 4 + 4 < 5 + 4
3x < 9
Divide both sides by 3
3x/3 < 9/3
x < 3
A local traffic light is set so that it cycles between 30 seconds of red and 30 seconds of green. What is the probability of randomly hitting a red light more than 25 times in n = 40 trips through the intersection?
Answers
Answer: 0.04
Step-by-step explanation:
Number of trips (n) = 40
Red = 30 seconds, Green = 30 seconds
P(red) = p(green) = 30/ (30+30) = 0.5
P(not red) = p(not green) = 1 - 0.5 = 0.5
P(x) = nCx * p^x * (1-p)^(n-x)
n = number of trials
x = number of outcome desired
P = probability of success of desired outcome
P(X > 25) = P(26) + p(27) + p(28) +.... + p(40)
Hence, to save computation time, we use the binomial distribution probability calculator :
P(X > 25) = 0.04
If construction costs are $160,000 per kilometer, find the cost of building the new road in the figure
shown to the right
new road
10,000 m
24,000 m
The cost of building the new road is s
(Round to the nearest dollar as needed)
Answers
Answer:
$4,160,000
Step-by-step explanation:
First, find the length of the new road in km using Pythagorean Theorem.
According to Pythagorean Theorem:
c² = a² + b²,
Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.
Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.
1 km = 1,000 m
10,000 m = 10 km
24,000 m = 24 km
c² = 24² + 10²
c² = 576 + 100
c² = 676
c = √676
c = 26 km
Lenght of the new road = 26 km
If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000
The cost of building the new road is $4,160,000.
Calculation of the cost of building:here we determine the length by using the Pythagorean Theorem.
So,
[tex]c^2 = a^2 + b^2[/tex]
Here
c is the longest leg
And, a and b are the 2 other legs of the ∆.
Now
1 km = 1,000 m
10,000 m = 10 km
24,000 m = 24 km
So,
[tex]c^2 = 24^2 + 10^2[/tex]
c² = 576 + 100
c² = 676
c = √676
c = 26 km
Now the cost should be
= 160,000(26)
= $4,160,000
learn more about cost here: https://brainly.com/question/18313009
Use what you know about addition and subtraction of polynomials to find the missing term represented
by the question mark in each equation.
(-4x² + 6x + 3) + (8x + 5 + ?) = 2x2 + 14x + 8
? =
(-b3 + 3b2 + 8) – (? - 562 - 9) = 5b3 + 8b2 + 17
? =
DONE
vous Activity
Answers
Answer:
1= 6x2
2= -6b3
Step-by-step explanation:
The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given first equation,
(-4x² + 6x + 3) + (8x + 5 + ?) = 2x ²+ 14x + 8
-4x² + 6x + 8x + 3 + 5 + ? = 2x ²+ 14x + 8
-4x² + 14x + 8 + ? = 2x ²+ 14x + 8
? = 2x ²+ 14x + 8 + 4x² - 14x - 8
? = 6x²
In the second equation,
(-b³ + 3b² + 8) – (? - 562 - 9) = 5b³ + 8b² + 17
(-b³ + 3b² + 8) - (5b³ + 8b² + 17) = (? - 562 - 9)
? = -b³ - 5b³ + 3b² - 8b² + 8 - 17 + 571
? = -6b³ - 5b² + 562
Hence "The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562".
For more about the equation,
brainly.com/question/10413253
#SPJ6
Given f(x) = |x| and g(x) = 2x-3. Solve for (f ⚬ g)(x)
Answers
Step-by-step explanation:
(f o g)(x)
= f(g(x))
= f(2x - 3)
= |2x - 3|
3.) Yvonne's hourly wage is raised from $11.09 per hour to $12.35 per hour. She works 40 hours
per week. How much more does she earn per week at the new rate?
Answers
Answer: She earns 50.4 much than she did on her other pay per hour.
Step-by-step explanation: First multiply 11.09 by 40, you get 443.6, then multiply 12.35 by 40 you get 494.0, so then you subtract the two total paychecks, and that's how you get the answer 50.4, more money.
Hope this helps. :)
andrea is three times older than eliza. suzie is 4 years older then eliza. if eliza's age can be represented by x, create an expression that represents the combined age of all three girls
Answers
Answer:
Combined age = 5x+4 years
Step-by-step explanation:
let Eliza's age be x
given that Andrea is three times older than Eliza, hence Andrea's age is
= 3x years
it is also given that Suzie is 4 years older than eliza, hence Suzie's age is
= (x + 4) years
Therefore the combined age
= Eliza's age + Andrea's age + Suzie's age
= x + 3x + (x+4)
= x + 3x + x + 4
= 5x + 4
How many at-bats did the player have?
Answers
Answer:
450
Step-by-step explanation:
17 full balls + (1/2+1/2)=1
18*25=450
Answer:
450 at - bats
Step-by-step explanation:
Home run = 50
Triples = 37.5
Doubles = 75
Singles = 125
walks = 62.5
Outs = 100
Total = 450
hopefully this helps you :)
Pls mark me brainlest ;)
A triangle in the coordinate plane has the following vertices: P(-4,-3), 1(-2,-2), G(-2,-4). What are the new coordinates if the triangle is translated 3 units right and 4 units up?
Answers
Answer:
P’(-1, 1), I’ (1, 2), G’(1,0)
Step-by-step explanation:
I need help on this assignment
Answers
Answer:
11. X'( 1 , 6 )
12. Y'( 5 , 1 )
13. Z'( 6 , 4 )
14. X"( -1 , -6 )
15. Y"( -5 , -1 )
16. Z"( -6 , -4 )
Only had time for the coordinates-!
Find the Slope using the Slope Formula 1. (8.6).(2-8)
Answers
Answer: 2.3 repeating
Please mark me as Brainliest
Find the decimal that is equivalent to: 3/11
A: .27
B:0.3
C: 3.6
D: 0.27
Answers
Answer:
D
Step-by-step explanation:
A. B. 4 x +1 x+4 =−3 =−12 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Answers
Answer:
D. Multiply/divide both sides by the same non-zero constant
A. Yes
Just Did It On Khan Academy
Step-by-step explanation:
Figure STOP is reflected about the y-axis to obtain figure STO′P: A coordinate plane with two quadrilaterals is shown. Figure STOP has vertices S at negative 2 comma negative 1, T at negative 1 comma negative 4, O at negative 4 comma negative 5, and P at negative 5 comma negative 4. Figure S prime T prime O prime P prime has vertices S prime at 2 comma negative 1, T prime at 1 comma negative 4, P prime at 5 comma negative 4, and O prime at 4 comma negative 5. Which statement best describes the relationship between the two figures? (4 points) The measure of angle S is equal to the measure of angle P′. The measure of angle P is equal to the measure of angle T′. Figure STOP is congruent to figure S′T′O′P′.
Answers
Answer:
Figure STOP is congruent to figure S′T′O′P′.
Step-by-step explanation:
I just took the test
Answer:
Figure STOP is congruent to figure S′T′O′P′.
Step-by-step explanation:
Just finished test and got 100%
find the domain of the function, picture included
Answers
Answer:
[4,∞)
Step-by-step explanation:
x≥4
[4,∞)
17. Identify the explicit formula for the arithmetic sequence 12, 14, 16, 18, . . . . options: A) f(n) = 12 + 2(n − 1) B) f(n) = 12 + 2(n + 1) C) f(n) = 2 + 12(n + 1) D) f(n) = 2 + 12(n − 1)
Answers
Answer:
A) f(n) = 12 + 2(n-1)
Step-by-step explanation:
Arithmetic Sequence Formula:
a(n) = a(1) + (n-1)d
d = 2
a(1) = 12
a(n) = 12 + 2(n-1)
Answer:
Step-by-step explanation:
A) f(n) = 12 + 2(n-1)
Find the next two terms of the sequence 1,5,14,30,50,...
Answers
Answer:
If the number were 55, then the next number is 72
Step-by-step explanation:
I think you wrote the number wrong?
What are the coordinates of r
Answers
Twelve more than x is greater than fourteen
Answers
Answer:
x > 2
Step-by-step explanation:
12 + x > 14
x > 14 - 12
x > 2
80 + (-25) =
integers
Answers
Adding a negative is the same as subtracting a positive number.
80 + (-25)
80 - 25
= 55
Best of Luck!
A line passing through the points (6,-2) and (-2,4). Complete the work shown
Answers
Answer:
2.5
Step-by-step explanation:
If (7^ 0)=1what are the possible values of x
Answers
Explanation: anything to the power of 0 is 1 so if it is x to the power of 0 it would be 1
Answer: I would say that any number
Step-by-step explanation:
I think so because any number to the 0 power is going to be 1.
For example: 6^0=1 21^0=1
Hope it helped!! ;)
8×4-5×(3⅕-2½)+(4-1)²
Answers
Answer:
101/2
Step-by-step explanation:
Answer:
75/2
Step-by-step explanation:
Simplify the following:
8×4 - 5 (3 + 1/5 - (2 + 1/2)) + (4 - 1)^2
Put 2 + 1/2 over the common denominator 2. 2 + 1/2 = (2×2)/2 + 1/2:
8×4 - 5 (3 + 1/5 - (2×2)/2 + 1/2) + (4 - 1)^2
2×2 = 4:
8×4 - 5 (3 + 1/5 - (4/2 + 1/2)) + (4 - 1)^2
4/2 + 1/2 = (4 + 1)/2:
8×4 - 5 (3 + 1/5 - (4 + 1)/2) + (4 - 1)^2
4 + 1 = 5:
8×4 - 5 (3 + 1/5 - 5/2) + (4 - 1)^2
Put 3 + 1/5 - 5/2 over the common denominator 10. 3 + 1/5 - 5/2 = (10×3)/10 + 2/10 + (5 (-5))/10:
8×4 - 5(10×3)/10 + 2/10 + (5 (-5))/10 + (4 - 1)^2
10×3 = 30:
8×4 - 5 (30/10 + 2/10 + (5 (-5))/10) + (4 - 1)^2
5 (-5) = -25:
8×4 - 5 (30/10 + 2/10 + (-25)/10) + (4 - 1)^2
30/10 + 2/10 - 25/10 = (30 + 2 - 25)/10:
8×4 - 5(30 + 2 - 25)/10 + (4 - 1)^2
30 + 2 = 32:
8×4 - 5 (32 - 25)/10 + (4 - 1)^2
| 2 | 12
| 3 | 2
- | 2 | 5
| 0 | 7:
8×4 - 5×7/10 + (4 - 1)^2
-5×7/10 = (-5×7)/10:
8×4 + (-5×7)/10 + (4 - 1)^2
The gcd of -5 and 10 is 5, so (-5×7)/10 = ((5 (-1)) 7)/(5×2) = 5/5×(-7)/2 = (-7)/2:
8×4 + (-1×7)/2 + (4 - 1)^2
4 - 1 = 3:
8×4 - 7/2 + 3^2
8×4 = 32:
32 - 7/2 + 3^2
3^2 = 9:
32 - 7/2 + 9
Put 32 - 7/2 + 9 over the common denominator 2. 32 - 7/2 + 9 = (2×32)/2 - 7/2 + (2×9)/2:
(2×32)/2 - 7/2 + (2×9)/2
2×32 = 64:
64/2 - 7/2 + (2×9)/2
2×9 = 18:
64/2 - 7/2 + 18/2
64/2 - 7/2 + 18/2 = (64 - 7 + 18)/2:
(64 - 7 + 18)/2
| 1 |
| 6 | 4
+ | 1 | 8
| 8 | 2:
(82 - 7)/2
| 7 | 12
| 8 | 2
- | | 7
| 7 | 5:
Answer: 75/2
what is the expression equivalent to 5(6+4)
Answers
Answer:
2(15+10)
Step-by-step explanation:
when you multiply the integers by 5 you get 30 + 20 so you just divide them by 10.
50
How to get it
So start to add in the parenthesis 6+4 is 10
Then erase the parentheses since we got the answer but turn it into an multiplication sign
5 times 10 is 50
Hope this helped :)
ca
7. Consider the equation a-3 =
What value(s) of a make the equation true?
(3)?