Answers
Answer:
The graph of the system of equations solves the equation [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1 ⇒ D
Step-by-step explanation:
Let us revise some important notes about the slope and y-intercept of a line
The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept
If the line has a positive slope then its direction will be to the rightIf the line has a negative slope then its direction will be to the leftThe y-intercept (0, b) is the the point of intersection between the line and the y-axis
If the line cuts the y-axis at a point above the x-axis, then b is positiveIf the line cuts the y-axis at a point down the x-axis, then b is negativeTo solve our question without any calculation, let us find the direction of the slopes and their y-intercepts
∵ The direction of the blue line is to the left
→ That means m in the equation is negative
∴ Its slope is negative
∵ The line intersects the y-axis at point (0, 1)
→ That means b in the equation = 1
∴ The number in the equation is 2
→ Look at the answer we have only one answers have negative slope and
y-intercept = 1 in the right hand side ⇒ D
∴ The equation of the blue line is represented by the left side -2x + 1
→ That means the equation of the red line is represented by the left side
∵ The direction of the red line is to the right
→ That means m in the equation is positive
∴ Its slope is positive
∵ The line intersects the y-axis at point (0, -4)
→ That means b in the equation = -4
∴ The number in the equation is -4
→ Only D has a positive slope and y-intercept = -4 in the left side
∴ The equation of the red line is represented by [tex]\frac{1}{2}[/tex] x - 4
The graph of the system of equations solves the equation [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1
Another way:
You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (2, -3) as the point of intersection of the two lines in the graph
Related Questions
Which of the following statements are true of a transversal?
It is a line.
It is parallel to other coplanar lines.
It intersects two or more coplanar lines.
It bisects line segments.
It can never be perpendicular to other lines.
Answers
Answer:
Intersects two or more coplanar lines
Step-by-step explanation:
In geometry, the transversal line is a line that passes through two separate lines on the same plane (coplanar) at 2 distinct points.
Answer:
A, C, and E
Explanation:
Select the three expressions that are equivalent to 13+13+13+13+13+13+13.
Answers
Answer:
13 to the seventh power is one
Step-by-step explanation:
13⁷
13*7
13+13+13+13+13+26
An item is regularly priced at $77. Scott bought it at a discount of 85% off the regular price.
tha BSS
mind how much Scott pald.
Answers
Answer:
20% x $95 = .20 x $95 = $19.
Step-by-step explanation:
How many different ways can you have 50¢ in change using only quarters, dimes and nickels?
A. 1
B. 4
C. 10
D. 15
Answers
I'm pretty sure it's ten.
q = $.25 d = $.10 n = $.05
2q
5d
10n
1q 2d 1n
1q 1d 3n
1q 5n
4d 2n
3d 4n
2d 6n
1d 8n
can yall help me plz
Answers
Answer:
C. 1/4
Step-by-step explanation:
up 1, right 4
Six times a number is forty two.
Write the equation?
Answers
Answer:
6*n=42
Step-by-step explanation:
n=7 if you need that info
Anyone please can you tell me the scale factor for this? I don’t wanna fail class :(
Answers
Line EF is 3 units long
Line CD is 8 units long
If you are scaling EF up to CD the scale is 8/3 = 2 2/3 ( 2.67)
If you are scaling CD down to EF the scale is 3/8 (0.375)
opposite of -6° opposite of temperature 2 DIFFERENT ways
Answers
Answer:
Support your answer with an example. ▫ The opposite of an opposite of a number is the original number. The opposite of the opposite of negative 6 is negative 6 because the opposite of 6 is 6. The opposite of 6 is 6
Step-by-step explanation:
7th grade math help me pleasee
Answers
Answer:
-4, -25, -1, -2.5
Answer:
B , C , G ,H
Step-by-step explanation:
Just to clarify Integers are whole numbers that are both negative and positive
fractions and decimals are not integers
Brainiest would be appreciated
High Hopes^^
Barry-
If 12 cats can catch 6 rats in 2 hours, how many hours would it take 50 cats to catch 75 rats?
Answers
Answer:
50 cats would take 6 hours to catch 75 rats.
Step-by-step explanation:
After reading the statement we noticed the existence of two relationships:
1) The amount of cats is directly proportional to the quantity of caught rats.
2) The amount of cats is inversely proportional to time taken to catch rats.
That is to say:
[tex]n \propto \frac{x}{y}[/tex]
[tex]n = k\cdot \frac{x}{y}[/tex] (Eq. 1)
Where:
[tex]n[/tex] - Amount of cats, dimensionless.
[tex]x[/tex] - Amount of caught rats, dimensionless.
[tex]y[/tex] - Time, measured in hours.
[tex]k[/tex] - Proportionality ratio, measured in hours.
Then, we obtain the following relationship by eliminating the proportionality ratio in (Eq. 1):
[tex]\frac{n_{1}\cdot y_{1}}{x_{1}} = \frac{n_{2}\cdot y_{2}}{x_{2}}[/tex] (Eq. 2)
Where:
[tex]n_{1}[/tex], [tex]n_{2}[/tex] - Initial and final amounts of cats, dimensionless.
[tex]x_{1}[/tex], [tex]x_{2}[/tex] - Initial and final amounts of caught rats, dimensionless.
[tex]y_{1}[/tex], [tex]y_{2}[/tex] - Initial and final times, measured in hours.
Now we clear final time in (Eq. 2):
[tex]y_{2} = y_{1}\cdot \left(\frac{n_{1}}{n_{2}} \right)\cdot \left(\frac{x_{2}}{x_{1}} \right)[/tex]
By knowing that [tex]y_{1} = 2\,h[/tex], [tex]n_{1} = 12[/tex], [tex]x_{1} = 6[/tex], [tex]n_{2} = 50[/tex], [tex]x_{2} = 75[/tex], then we get that time taken by 50 cats to catch 75 rats is:
[tex]y_{2} = (2\,h)\cdot \left(\frac{12}{50} \right)\cdot \left(\frac{75}{6}\right)[/tex]
[tex]y_{2} = 6\,h[/tex]
50 cats would take 6 hours to catch 75 rats.
Which are irrational and which are rational ?
Answers
Answer: 8/9 is rational
.2593 irrational
square root of 7: irrational
square root of .25 is rational
square root of 14: irrational
0 is a: rational
square root of 280: irrational
square root of 35: is irrational
.2222: is rational
square root of 3r is a rational number......
Step-by-step explanation:
Find the variables.
(x - 10)
104°
X=I
Answers
Answer: 114 Degrees
Step-by-step explanation: Add 10 to 104 and there is X and I is equivalent to X.
A recent school survey found that 8 out of 11 students plan to go to college after graduating high school. At that rate, how many of the 1950 students at the local high school plan to go to college
Answers
Answer: 1,418.1882
Step-by-step explanation:
Answer:
1418 students.
Step-by-step explanation:
round 5.529 to the tenths place
Answers
Answer:
5.5
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
Name an angle adjacent to ZHGJ.
D
H
G
F
ZFGD
ZEGH
O ZEGD
O ZIGF
HELP
Answers
adjacent means next to so EGH is next to the angle HGJ
PLEASE HELP I WILL GIVE BRAINLIEST
Imagine standing in the area in the lower-right corner of the yellow box near the "32" on the map. You would be in the east, below the higher elevation features shown in the box. From that position, looking towards the norhtwest (upper left corner of the box), you would see the shape or profile of those higher elevation geographical features. Which graphic below best represents the profile you see?
Answers
Answer:
The answer for this question is D
Step-by-step explanation:
if I have a garden that's 10 yards and I want to grow a plant that's 2.5 yards how many of that can I plant
Answers
Answer:
4
Step-by-step explanation:
2.5y x 4 = 10y
Hope This Helps
<3
Answer: 4 plants.
Step-by-step explanation:
In the case that these measurements are of length, the plant being 2.5 yards and the total length of the garden area being 10 yards, the most simple way to solve this is to find how many 2.5 yard sections of this garden are in the given plot.
[tex]10/2.5 =4[/tex]
When 10 is divided by 2.5 you receive the answer "4". You can fit 4 plants within the garden. 2.5 x 2 is 5, and 5 x 2 is 10. 2 x 2, therefore, would give you the answer 4.
I hope this explanation helped you understand the question and the answer better.
what is to 2 5/3 in radical form
Answers
Please help ill give brainlist
Answers
Answer:
The answer is c
There are 200 petals on 25 daises so what is the proportionality
Answers
Answer:
8 petals per daisy
Step-by-step explanation:
200/25=8
doesnt that mean there's an average of 8 petals on each 1 flower.
In the expression x/5 -3 which is the correct order in which operations have been done to x?
Answers
NEED HELP ASAP PLEASE
Answers
Answer:
[See Below]
Step-by-step explanation:
[tex]Hey~There![/tex]
_______________________
➜ First let's turn each number into a decimal:
[tex]14\frac{2}{5}=14.4[/tex] [tex]4\sqrt{13} =14.42220510[/tex]➜ Now we order then from Least to Greatest:
[tex]14.33[/tex], [tex]4\sqrt{13}[/tex], [tex]14\frac{2}{5}[/tex]_______________________
So your answer would be [tex]\bold~B[/tex].
_______________________
[tex]Hope~this~helps~Mate!~\\-Your~Friendly~Answerer,~Shane[/tex] ヅ
Why can you use Linear Pairs and Vertical Angles to prove lines are parallel?
Answers
Answer:
The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;
1) Supplementary linear pairs and
2) Vertical angles
3) Alternate angles
Given that either;
a) The corresponding angles that form the linear pairs are congruent
b) The corresponding vertically opposite angles are congruent
c) The corresponding alternate angles are congruent, we have;
The two lines are said to be parallel.
Step-by-step explanation:
The school hiking club has completed 4 out of 5 hikes so far this year. They have hiked 4.6 miles, 3.7 miles, 5.1 miles, and 2.9 miles. If their goal is to hike 20 total miles, how many miles does the last hike need to be?
a.4.7 miles
b.3.7 miles
c.2.7 miles
d.1.7 miles
Answers
Answer:
B
Step-by-step explanation: just add up all of the miles they have all ready hiked and then subtract it from the number they need to hike
2. What is the rule for this input-output table?
Answers
Answer:
First, this table is a function because it has no repeating input values
Second, it is increasing in both the x and y
third, since it is increasing in x and y it is a positive correlation( I dont know if you have learned that yet)
Fourth, the output increases by 4 each time the input increases by 1
Step-by-step explanation:
A 3-inch by 5-inch photo is enlarged proportionally such that its smaller dimension is now 1 foot 3 inches. How many inches are in the larger dimension?
Answers
Answer:
There are 25 inches in the larger dimension.
Step-by-step explanation:
∵ 1 foot = 12 inches
∵ The small dimension after enlargement is 1 foot and 3 inches
→ Change it to inches only
∴ The small dimension = 1(12) + 3 = 12 + 3
∴ The small dimension = 15 inches after enlarged
∵ The small dimension of the photo before enlarged = 3 inches
→ Divide its length after enlarged by its length before enlarged to
find the scale of the enlargement
∵ 15 ÷ 3 = 5
∴ The scale of enlarged is 5
→ To find the larger dimension after enlarged multiply its length
before enlarged by 5
∵ The larger dimension before enlarged = 5 inches
∴ The larger dimension after enlarged = 5 × 5
∴ The larger dimension after enlarged = 25 inches
∴ There are 25 inches in the larger dimension.
solve by substitution
y=6x-23, 4x-5y=37
Answers
Answer:x=3 , y=-5 OR (3,-5)
Step-by-step explanation:
Place solve ? I am truly confused
Answers
y = 45°
the angle of x is congruent to 35°, meaning their measurements are equal. and to find y, you must remember that all the angles in a triangle sum to 180°. so, you just need to add 35° and 100°, giving you 135°. from there, you subtract it from 180° and get 45°
i hope this makes sense!!
5 − 2x + 2 = 12
work below hurry!!
Answers
Step-by-step explanation:
5-2x+2=12 given
-2x+7=12 combine like terms
-2x=5 subtraction property
X=-2.5 or 5/2 ANSWER
Simplify each of the following expressions and then put each simplified expression in order from greatest to least. −6+(−2) 2−6−2 2(−2)−2 −6+2 (−2−6)+22 6−(−2) −6−2 6+(−2) 2(−6)÷(−2) (−2)(6)
Answers
Answer:
8,6,4,3,2,-3,-4,-6,-8,-12
Step-by-step explanation:
Answer:
8
,
6
,
4
,
3
,
2
,
−
3
,
−
4
,
−
6
,
−
8
,
−
12
Step-by-step explanation:
