Answer:
(2, 1 )
Step-by-step explanation:
Given the 2 equations
2x - y = 3 → (1)
x + y = 3 → (2)
Rearrange (2) expressing y in terms of x by subtracting x from both sides
y = 3 - x → (3)
Substitute y = 3 - x into (1)
2x - (3 - x) = 3
2x - 3 + x = 3
3x - 3 = 3 ( add 3 to both sides )
3x = 6 ( divide both sides by 3 )
x = 2
substitute x = 2 into (3) for corresponding value of y
y = 3 - 2 = 1
Solution is (2, 1 )
Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
x = –2, x = –8
x = –2, x = –6
x = –2, x = 6
x = –2, x = 8
Answer:
x = -2, x = 6
Step-by-step explanation:
18 = 3|x - 2| + 6
12 = 3|x - 2|
4 = |x - 2|
4 = x - 2 and -4 = x - 2
x = 6 and x = -2
Answer:
C
Step-by-step explanation:
x = -2 x = 6
got it right on EDGE
HELPP PLEASEE!!
three times the sum of a number and 9 is 8
use the variable W for the unknown number
URGENT‼
The Utica Boilermaker is a 15-kilometer road race. Sara is signed up to run this race and has done the following training runs:
I. 10 yards
II. 44,880 feet
III. 15,560 yards
Which run(s) are at least 15 kilometers?
Option A: I, only
Option B: II, only
Option C: I and III
Option D: II and III
The values of following are 10 yards = 0.009144 km, 44,880 feet = 13.678, 15,560 yards = 14.228
What is kilometer ?"The kilometer spelt kilometer in American English, is a unit of length in the metric system, equal to one thousand meters (kilo- being the SI prefix for 1000). It is now the measurement unit used for expressing distances between geographical places on land in most of the world; notable exceptions are the United States and the United Kingdom where the statute mile is the unit used."
Given,
(i) 10 yards
1 yard = 0.0009144
then 10 yard = 10*0.0009144 = 0.009144 km
(ii) 44,880 feet
1 feet = 0.00030478
then 44,880 feet = 44,880*0.00030478 = 13.678 km
(iii) 15,560 yards
15,560 yards = 15,560 *0.0009144 = 14.228 km
Hence, D is the correct option.
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Help
Find the value of X
Answer:
x=11
Step-by-step explanation:
since the triangle is an isosceles triangle, angle 2 should be angle 42 so,
2x+20=42 degrees
2x=22
x=11
On a park ma, the ranger station is located (2.5, 3.5) and the nature center is located at (0.5, 4). Each unit in the map is equal to 0.5 mile. What is the approximate distance between the ranger station and the nature center?
Answer: [tex]1.0308\text{ miles}[/tex]
Step-by-step explanation:
Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] :
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The ranger station is located (2.5, 3.5) and the nature center is located at (0.5, 4) .
Distance between ranger station and nature center
[tex]\sqrt{(2.5-0.5)^2+(3.5-4)^2}=\sqrt{2^2+(-0.5)^2}\\\\=\sqrt{4+0.25}\\\\=\sqrt{4.25}\\\\=2.0616\text{ units}[/tex]
Each unit in the map is equal to 0.5 mile.
Hence, Distance between ranger station and nature center = [tex]2.0616\times0.5=1.0308\text{ miles}[/tex]
how to find an opposite ray?
Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (QA and QB in the figure above) form a single straight line through the common endpoint Q. When the two rays are opposite, the points A,Q and B are collinear.
The cost of dinner for Lorenzo and his 3 friends was $45.96.
Part A. How much did each person pay if they shared the cost equally?
Part B. Write an equation to model the solution to the problem.
Enter the correct answers in the boxes.
A. $ =
B. Equation =
Answer:
The friends split the bill at 15.32$
Step-by-step explanation:
So to find how much each paid you would take the bill total and divide it by the amount of people in this case three
And for the equation it would be 45.96/3=15.32$
The equation to model the solution to the problem would be; 3x = 45.96. the friends split the bill at 15.32 dollars.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.
Given that the dinner for Lorenzo and his 3 friends costs $45.96.
To determine how much each paid would take the bill total
Therefore, we will divide it by the number of people in this case three
3x = 45.96
x = 45.96/3
x = 15.32$
And for the equation would be; 3x = 45.96
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PLEASE HELP. Write the equation in slope-intercept form for the line that contains the points
(3,-5) and (5,- 1)
a. y = 2x + 11
b. y = 2x + 1
c. y = 2x - 11
d. y = 2x - 1
Answer:
y=2x-11
Step-by-step explanation:
what is 7x+3(8x-7) I need it in standard form
Answer:
31x-21
Step-by-step explanation:
Distribute:7x+24x-21
Add like terms:31x-21
Answer:31x-21
the answer is 31x-21
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot
Answer:
20.62 feet
Step-by-step explanation:
The ladder propped against a building forms a right angle triangle
Height of the ladder (hypotenuse) = 21 feet
Base of the ladder from the building (adjacent) = 4 feet
Height of the building (opposite) = x feet
Hypotenuse ² = opposite ² + adjacent ²
21² = x² + 4²
21² - 4² = x²
441 - 16 = x²
425 = x²
x = √425
= 20.62 feet
Answer: 20.62 ft or rounding it to 20.6 ft
Step-by-step explanation:
i'm stuck, plsss help ASAPP!!! :))
Answer:
15 units
Step-by-step explanation:
[tex]d \: = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]
d = 14.866
d = 15
please help just download the document, try to complete it and make a question adressing it to me please
the opposite of 5x and 5x+8?
the opposite or addictive increase of 5x is -5x.
the opposite or addictive increase of 5x + 8 is -5x -8.
Answer:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+85 f - 1 ( x ) = x 5 + 8 5 is the inverse of f(x)=5x−8 f ( x ) = 5 x - 8 .
Eric bought a card for$2.99 the sales tax was 8% what was his total cost?
Answer:
3.53
Step-by-step explanation:
;-; help pleaseeeeee e e e
Answer:
B
Step-by-step explanation:
Because,
t= the amount of money
w= weeks
+ the 15 when she washed the car
solve for c
solve for r
Answer:
Step-by-step explanation:
9(c+7)=27
9c+63=27 subtract 63 from both sides
9c= -36 divide by 9
c= -4
3(2r-8)+4r=76 foil
6r-24+4r=76 combine like terms
10r-24=76 add 24 to both sides
10r+100 divide by 10
r= 10
Plzz I need help due today!!!!
What is the rule for the reflection?
ry=x(x, y) → (–y, –x)
ry=–x(x, y) → (–y, –x)
ry=x(x, y) → (y, x)
ry=–x(x, y) → (y, x)
Answer:
B
Step-by-step explanation:
Answer:
B. ry=–x(x, y) → (–y, –x)
Step-by-step explanation:
Question 6
Given h(x) = -8(x - 5), what is the value of h(-6)?
Previous
Answer:
h(-6) = 88
Step-by-step explanation:
h(-6) = -8(-6 - 5)
= -8(-11)
= 88
Which choice correctly describes this event? I will roll a die and land on 1 and 3.
A) Impossible
B) Unlikely
C) Likely
D) Certain
This is impossible in 1 roll
the probability is zero
in drop down menu one - 8, 6, or 5.5
in drop down two - 10.5, 8, 5.5
in drop down three- 33, 22, 11
HELP
where dose (3.5,1.75) go on a coordinate plane?
Answer: where is the picture
Step-by-step explanation:
what type of angle is this?
NEED HELP ASAP!!!!!!!!!
h*es on me left and..
Answer:
gl*ck 9 put em out like a light
Step-by-step explanation:
Coupe tinted like a thief in the night
Look at the arithmetic sequence below. Use the boxes to create a recursive formula for the sequence. 18, 21, 24, 27, 30, 33... Response area =
Answer:
we have:
u(1) = 18
u(2) = 21 = 18 + 3
u(3) = 24 = 18 + 3.2
u(4) = 27 = 18 + 3.3
.......
=> the sequence has: u(1) = 18
d = 3
=> u(n) = 18 + 3(n - 1) = 3n + 15
so the recursive formula for the sequence is u(n) = 3n + 15
Step-by-step explanation:
1 2 3 5 6 7 8 10 TIME REMAINING 01:51:26 The function f(x) is shown on the graph. What is flo)? y у O 12 only -15 flx) 0 2 and 3 only O-2, -1, 1, and 2 only 0 -2, -1, 1, 2 and 12 9+ 3 -7 6 5 4 3 2 +1 4 5 6 7 X 3 6 + -9 -12+ -15-
Answer: 12 only
Step-by-step explanation:
The value of f(0) from the graph of f(x) is (a) 12 only
What are functions?Functions are used to represent graphs, equations, ordered pairs and relations.
To interpret the value of the function, we start by reading the graph.
From the graph, the value of the function when x = 0 is 12
This means that:
[tex]f(0) = 12[/tex]
Hence, the value of f(0) from the graph of f(x) is (a) 12 only
Read more about functions and graphs at:
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i just wanted to make sure my answers are correct could someone tell me if they are or not correct or tell me which ones are wrong?
14. Is B
16. Is B
correct
HELP WILL MARK BRAINLIST!!!!!!!!!!! DUE TODAY 10:52 Write 1/8% as a decimal number. Enter your answer in the box.
Answer:
12.5
Step-by-step explanation:
Answer:
.125
Step-by-step explanation:
divide 1 by 8
or divide 1 by 4 then divide by 2
What should you do during the editing stage of the writing process?