Answer:
y
≤
−
x
−
2
(1)
y
≥
−
5
x
+
2
(2)
First graph the 2 linear functions by intercepts:
a. y1 = - x - 2
Make x = 0 --> y-intercept is -2
Make y = 0 --> x-intercept is - 2
b. y2 = -5x + 2
Make x = 0 --> y-intercept is 2
Make y = 0 --> x-intercept is
2
5
Graphically solve the 2 linear inequalities (1) and (2).
The solution set of (1) is the area below the line y1. Color it.
The solution set of (2) is the area above the line y2. Color it.
The combined solution set of the system is the area commonly shared by the 2 above solution set areas.
graph{-x - 2 [-10, 10, -5, 5]}
graph{-5x + 2 [-10, 10, -5, 5]}
A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance that the marathon race participant walks and runs is 12.5 miles. Write a linear equation in standard form that models this situation.
Answer:
2.5x + 5y = 12.5
Step-by-step explanation:
The solution is 2.5x + 5y = 12.5
The equation representing the total distance by the participant who runs and walks is given by 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
The total distance ran by the marathon participant = 12.5 miles
Let the time taken by the participant to walk be = x
Let the time taken by the participant to run be = y
Now , the speed of the participant when walking = 2.5 miles per hour
The speed of the participant when running = 5 miles per hour
So , the equation will be
The distance traveled when walking = speed of the participant when walking x time taken by the participant to walk
Substituting the values in the equation , we get
The distance traveled when walking = 2.5x
And ,
The distance traveled when running = speed of the participant when running x time taken by the participant to run
Substituting the values in the equation , we get
The distance traveled when running = 5y
Now ,
The total distance ran by the marathon participant = The distance traveled when walking + The distance traveled when running
Substituting the values in the equation , we get
2.5x + 5y = 12.5
Therefore , the equation will be 2.5x + 5y = 12.5
Hence , the equation is 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Solve for x:
x + 3x - 19 = 17
______________________________
1.) Combine x and 3x:[tex]x+3x=4x[/tex]
- We combine the [tex](x)[/tex] variables because to get to the end sum of the equation, there can only be 1 variable. So to get the 1, you combine like terms.
2.) Add 19 to both sides:[tex]-19+19=[/tex] Cancels Out[tex]17+19=36[/tex]
- We do this to get 1 number left over. To do this you do the opposite of what you see. In this case we have a negative 19, so you add 19 on each side of the equals.
3.) Divide both sides by 4:[tex]4x[/tex] ÷ [tex]4=x[/tex][tex]36[/tex] ÷ [tex]4=9[/tex]
- We do this to get x alone. To do this you do the opposite of what you see. In this case we have [tex]4(x)[/tex] which is multiplying, so you divide by 4 on each side.
So your answer is [tex]\bold{x=9}[/tex].
______________________________
CAN SOMEONE PLEASE HELP ME?
Solve the equation: (5x+1/2)^2=9/16
Answer:
x=-7/160
Step-by-step explanation:
A number 1 multiplied by –4 is at least 5/6
Write this word sentence as an inequality.
PLS HELP
Answer:
4n ≥ 5/6
Step-by-step explanation:
Hope this helps!!!
PLEASE HELPPP MEE !!
Answer:
that box in the corner of the angle represents 90°
90° is also known as a right angle
Subtract 90° from 37°.
You should come up with 53°.
Alberta found that six cars passed her house in 5 minutes. How many cars would you expect to pass her house in 2 hours
Answer:
144 cars
Step-by-step explanation:
2hours times 60 minutes = 120
120/5 minutes=24
24x6=144
Y is inversely proportional to x when y=7,x=9
Answer:
b) y=3
Step-by-step explanation:
Help help help help help
Answer:
B) 7.5% decrease
Step-by-step explanation:
(11,100 - 12,000) / 12,000 = -9/120 or -3/40, which is -0.075
1.
What is the measure of
2.
What is the measure of
3.
What is the measure of
Answer:
What is the Measure if what?
Step-by-step explanation:
GKW = 39°
PKG = 61°
PKW = 90°
PKF = 90°
FKM = 39°
PKM = 129°
WKF = 180°
WKM = 219°
Answer:
1.W&M=141 degerees
2.M&F=39 degerees
3.F&G=141 degerees
Step-by-step explanation:
1= if g&w were 39 degerees to search w&m
= 180-39=141degerees
w&m=141 degerees
2=the same with g&w
3= the same with w&m
50 POINTS TO CORRECT ANSWER otherwise will be reported:
A cart rolls down a hill, traveling 5 inches the first second and accelerating so that during each successive 1-second time interval, it travels 7 inches more than during the previous 1-second interval. The cart takes 30 seconds to reach the bottom of the hill. How far, in inches, does it travel?
a)215
b)360
c)2992
d) 3195
e) 3242
9514 1404 393
Answer:
d) 3195
Step-by-step explanation:
The distances traveled make an arithmetic series, the sum of which is given by ...
Sn = (2·a1 +d(n -1))(n/2)
This series has first term a1=5 and common difference d=7. Then the total distance traveled in 30 seconds is ...
S30 = (2·5 +7(30-1))(30/2) = (10 +203)(15) = 3195
The cart travels 3195 inches.
What slope is perpendicular to m=4/5
Step-by-step explanation:
a perpendicular slope is the negative reciprocal
so the perpendicular slope is -5/4
Answer:
m = -5/4
Step-by-step explanation:
Perpendicular slope is the negative opposite reciprocal of a slope.
i need help with this please
19.
I hope this answer helped! please mark brainliest and vote 5 stars >:)
Answer:
x=4
Step-by-step explanation:
i used mathaway
3x+2 = 7x-14
10 Determine the area of the figure. 9 cm 6 cm 12 cm
Answer:
Area= 648
Step-by-step explanation:
Area formula: L times W times H
9 times 6 times 12 :)
When the length, width, and the height is given so the area of the figure is considered to be 648.
Calculation of an area:Since the length is 9cm
The width be 6 cm
And, the height is 12 cm
So, the area be like
= (9) (6) (12)
= 648
Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.
Learn more about an area here: https://brainly.com/question/20882229
find the lenght of thir side if neccesary round to the nearest tenth 12 5
Answer:
13.416 or 13.4
Step-by-step explanation:
A pair of jeans is marked down at 25% off the original price. The original price of
the jeans was $68.50. What is the price of the jeans before sales tax?
Answer:
$51.38
Step-by-step explanation:
1 - .25 = .75
you're paying 75% of the price
68.50 • .75 = 51.375 ≈ $51.38
Which statement is the best definition of an angle
Answer:
In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.
Step-by-step explanation:
hurray
WILL MARK BRAINLYIST what are the values of X,Y, and z
Answer:
x=111, y=36, z=76
Step-by-step explanation:
5.
There are 5,000 tickets available for a concert. The percent of available tickets belonging to
each type of ticket is shown in the circle graph.
Ticket Types
Platinum
2%
Club
8%
Floor
16%
Upper
level
44%
Lower
level
30%
What total number of tickets is available at the club, platinum, and floor levels?
Answer:
The answer is 1,300 tickets.
Step-by-step explanation:
If you add 2%+8%+16%= 26% 26% of 5,000 is 1,300.
Answer:
1300
Step-by-step explanation:
platinum: 2%+club: 8%+ floor: 16%=26%
[tex]\frac{26}{100}[/tex]×[tex]\frac{5000}{1}[/tex] =1300
can you find the radius
Answer:
radius is 6.5
I hope it's helps you
Find the value of x.
48°
(7x + 13)
!WILL GIVE RIGHT ANSWER BRAINLIEST!
A. 7
B. 5
C. 11
D. 3
Answer:
B. 5
Step-by-step explanation:
If the question is 48° = 7x + 13:
48° = 7x + 13 –– Subtract 13 from both sides
35 = 7x –– Divide both sides by 7 to get x alone
5 = x
Btw, your picture is blank
Order the numbers from least to greatest -23, -10, -9, -7, -6, -4 ,-3, -2, -1 ,0, 1 ,2 ,3 ,5 ,8, 10, 11, 15, 22, 23
isn't it already in order
Answer:
-23, -10, -9, -7, -6, -4, -3, -2, -1, 0, 1, 2, 3, 5, 8, 10, 11, 15, 22, 23
Step-by-step explanation:
literally the question itself is the answer.
In an experiment, the number of insects on a randomly selected plant is recorded.a Specify the sample space for this experiment.b Give the set A representing the event of at most three insects being on the plant.c Explain why each of the possible outcomes in the sample space is not equally likely.
Answer:
{0, 1, 2, 3, 4, 5,....} ;
{0, 1, 2, 3} ;
Step-by-step explanation:
Number of insect on a randomly selected plant
The number of insect in such an experiment will be an integer value ;
Hence, sample space will be ;
{0, 1, 2, 3, 4, 5,....}
B.) Event of at most three insects:
Number of insects = 0 ;
Number of insect = 1 ;
Number of insect = 2 ;
Number of insect = 3 ;
n ≤ 3 {x : x ≤ 3}
{0, 1, 2, 3}
3.)
Each possible outcome in the sample space cannot be equally likely due to the fact that the number of insects on the selected plants will vary. With some plants having none to large number of insects while some have small amount of insects.
Write a one step equation based on this story:
Michelle had a certain amount of cake for a birthday
party. She split the cake among 12 people and each
person had 2 pieces each. How many pieces did she
have to start with?
1. Select all equations that are equivalent to (5x+6) over 2 =3-(4x + 12). A5+6= 3 - (4x + 12) (5x+6) B. 2 = -4x -9 c. x+3 = 3 – (4x + 12) (5x+6) = -4x + 15 2 E. 5x + 6 = -8x – 18
Answer:
Only option E is equivalent to [tex]5x+6=-8x-18[/tex].
Step-by-step explanation:
Given the expression
(5x+6) over 2 = 3-(4x + 12)
Let us simplify the expression
[tex]\frac{\left(5x+6\right)}{2}=3-\left(4x+12\right)[/tex]
Multiply both sides by 2
[tex]\frac{5x+6}{2}\cdot \:2=3\cdot \:2-\left(4x+12\right)\cdot \:2[/tex]
[tex]5x+6=6-\left(4x+12\right)\cdot \:2[/tex]
Expand -(4x + 12) = -4x - 12
[tex]5x+6=-8x-18[/tex]
Thus, option E is equivalent to [tex]5x+6=-8x-18[/tex].
Further solving
[tex]5x+6=-8x-18[/tex]
Add 8x from to both sides
[tex]5x+8x=-8x-24+8x[/tex]
Simplify
[tex]13x=-24[/tex]
Divide both sides
[tex]\frac{13x}{13}=\frac{-24}{13}[/tex]
Simplify
[tex]x=-\frac{24}{13}[/tex]
Thus, only option E is equivalent to [tex]5x+6=-8x-18[/tex].
Answer:
E. 5x + 6 = -8x – 18
Step-by-step explanation:
Hope this will help
The first term of a sequence is 3 and the common ratio is 3. The sequence is:
a. 3, 6, 9, 12,...
b 3, 9, 27, 81,...
c 3, 9, 27, 36,...
d None of the choices are correct.
Answer:
B
Step-by-step explanation:
In a right triangle, the hypotenuse has endpoints XY, shown on the graph.
On a coordinate plane, line X Y has points (negative 4, 2), (negative 1, negative 3).
If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
3
4
5
6
9514 1404 393
Answer:
5
Step-by-step explanation:
A graph can be helpful. It shows possible integer coordinates of Z could be ...
(-1, 2) or (-5, 1)
These have distances 5 and 4√2 from Y, respectively. Of these, only the length YZ = 5 appears on your list of possible answers.
__
The hypotenuse of a right triangle is the diameter of the circumcircle. That is, the right angle vertex (Z) appears on a circle whose center is the midpoint of the hypotenuse. Here, that circle center is C = (-4-1, 2-3)/2 = (-5/2, -1/2). The given point Y differs from this by C - Y = (-5/2 -(-1), -1/2 -(-3)) = (-3/2, 5/2). So, a point with integer coordinates will be 2×(5/2) = 5 units above point Y, which puts it in the 2nd quadrant.
__
Adding any of the 8 combinations (±3/2, ±5/2) or (±5/2, ±3/2) to the circle center coordinates will result in integer coordinates for the right angle vertex. Of these, only the ones listed above are in the second quadrant. A couple are on the y-axis, and two of the possibilities are X and Y. The other two are in the third quadrant.
WILL MARK BRAINLYIST
Answer:
a= 158
b=22
Step-by-step explanation:
First we have to find b in order to find a.
To find b we need to add up the two angles we know the value of and subtract it from 180.
90+68= 158
180-158=22
We know b is 22 because the sum of all angles in a triangle is always 180.
Now that we have b we can find a.
we know that a+b=180 so all we have to do is subtract 22 from 180 to get 158.
Answer:
b is 22° and a is 158°
Step-by-step explanation:
b can be calculated by angle sum property and a can be calculated using exterior angle sun property
what is 6+5/7 converted into a mix number
Answer:
47/7
Step-by-step explanation:
I think the answer is 6 5/7 or 47/4
Answer:
6 5/7
Step-by-step explanation:
Hope this helps!
Best of luck! ♥
Solve V=1/3πr² for h
1.
given :
f(x) = (x – 3)(x + 2)(x + 3), give a strategy for writing
the expanded form of the polynomial.
Answer:
Simplify
(
x
−
3
)
(
x
+
2
)
(
x
+
3
)
.
f
(
x
)
=
x
3
+
2
x
2
−
9
x
−
18
