a) Draw the graph of y = 4x - 1
on the grid.
o
b) Use the graph to estimate the
value of x when y = 1
Answers
a) The graph of y = 4x - 1 is shown in attached image.
b) By using the graph at y = 1 the value of x is 1/2.
What is Linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The function is,
y = 4x - 1
Now, The graph of function y = 4x - 1 is shown in image.
And, At y = 1;
By the graph the value of x = 1/2.
And, In mathematically;
At y = 1
The value of x is;
y = 4x - 1
1 = 4x - 1
4x = 2
x = 2/4
x = 1/2
Thus,
a) The graph of y = 4x - 1 is shown in attached image.
b) By using the graph at y = 1 the value of x is 1/2.
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Related Questions
Please and Thank You
Answers
what is the vlaue of (2/7)³ ?
Answers
Answer:
0
Step-by-step explanation:
Two out of every 12 students in a class say history is their favourite subject. There are 24 students in the class. How many students like history best?
Answers
2/12 would equal to 4/24
2.1n - 5.31 = 18
Pls help please show work
Answers
Answer:
n= approx. 6.04
Step-by-step explanation:
18-5.31=12.69
12.69/ 2.1= about 6.04
Which fraction is equivalent to 2/34 ? A 11/2 B 11/3 C 11/4 D 11/12
Answers
Answer:
C. 11/4
Step-by-step explanation:
We can make 2 into fourths: in one whole there are 4 fourths so in two wholes there are 8 fourths.
Then add the 3/4 to the 8/4 and we get 11/4.
C. 11/4
PLASSSSS HURRYRYYY!!!!!!!!!!!!!
Answers
Answer:
6
Step-by-step explanation:
Since 36 is a multiple of 6, therefore [tex]6^{2}[/tex] = 36.
sally purchased 24 pencils 1/8 of the pencils are blue 1/6 of the pencils are red how many pencils are either red or blue
A. 17
B.14
C.7
D.4
Answers
Answer:
4
Step-by-step explanation:
Because the common multiple of 6 and 8 is 24 which is the amount of pencils.
1/8 x 3 equals 24 (3 because 3 times 8 gives 24)
1/6 x 4 equals 24 (4 because 4 times 6 gives 24)
A snail travels at an average speed of 0.1 feet per hour for 15 minutes. How many feet will the snail travel?
Answers
Answer:
1.5 Feet
Step-by-step explanation:
15 x .1 = 1.5
What numbers can you multiply to get 14 and add to get -5?
Answers
Answer:
-2 and 7
Step-by-step explanation:
2×7=14
2-7=-5
this is what I got.
What is the number? I did many ways but i didn't found it, please guys help me with it.
Answers
Answer:
A). 15
B). -1.2
Step-by-step explanation:
A). [10(x+3)]-20 = 160
10x+30-20 = 160
10x+10 = 160
10x = 160-10
10x = 150
x = 150/10
x = 15
B). 5{[4(8+(5x))]-9} = 85
5(32+20x+9) = 85
5(32+9+20x) = 85
5(41+20x) = 85
205+100x = 85
100x = 85-205
100x = -120
100x/100 = -120/100
x = -1.2
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HOPE THIS HELPS!!!
What type of line segment is represented by the dotted line.
Please help me on this question, it is for geometry.
Answers
Answer: Altitude
Step-by-step explanation:
It's an altitude because it creates a 90° angle (perpendicular to the base)
-PLEASE HELP ASAP-
The first figure is dilated to form the second figure.
Which statement is true?
A)The scale factor is 0.25.
B)The scale factor is 4.
C)The scale factor is 4.35.
D)The scale factor is 7.25.
Answers
Answer:
C
Step-by-step explanation:
5.8 - 4.35= 1.45
FIND THE equation of the linear function represented by the table below in slope intercept form
Answers
Answer:
y= -2x - 1
Step-by-step explanation:
Take two of the points given by the data in the table.
Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.
Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).
The equation to find the slope of a line is:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute these points into this formula to find the slope of this linear function.
[tex]\displaystyle m= \frac{-5-(-3)}{2-1}[/tex]Simplify and solve for the slope m.
[tex]\displaystyle m=\frac{-2}{1} =-2[/tex]The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.
Point-slope equation:
[tex]y-y_1=m(x-x_1)[/tex]Substitute m = -2 and the point (1, -3) into this equation.
[tex]y-(-3)=-2(x-1)[/tex]Simplify this equation and put it into slope-intercept form: [tex]y=mx+b[/tex].
[tex]y+3=-2x+2[/tex] [tex]y=-2x-1[/tex]The equation of the linear function represented by the table is y = -2x - 1.
Answer:
y= -2x - 1
Step-by-step explanation:
Take two of the points given by the data in the table.
Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.
Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).
The equation to find the slope of a line is:
Substitute these points into this formula to find the slope of this linear function.
Simplify and solve for the slope m.
The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.
Point-slope equation:
Substitute m = -2 and the point (1, -3) into this equation.
Simplify this equation and put it into slope-intercept form: .
The equation of the linear function represented by the table is y = -2x - 1.
The graph shows the number of cycles of a crosswalk signal during the day and during the night.
Answers
Answer:
Step-by-step explanation:
a). Since, both the lines are passing through origin (0, 0) y-intercept of the lines are zero.
For day periods,
Let the equation is, y = mx
Since, this line passes through (2, 80),
80 = 2m
m = 40
Therefore, equation for the day periods will be,
y = 40x
For night periods,
Let the equation is, y = mx
Since, this lines passes through (3, 90),
90 = 3m
m = 30
Therefore, equation of the line is,
y = 30x
b). For x = 6 hours,
Number of cycles in the day (y) = 40 × 6 = 240
Number of cycles in the night (y) = 30 × 6 = 180
Therefore, difference in the cycles in day and night = 240 - 180 = 60
Find the product of (1.1x + 2.7y) (1.1x - 2.7y)
Answers
Step-by-step explanation:
Please refer to the attachment
What's true about a translation
Answers
Answer:
A translation moves every point of a figure or a space by the same amount in a given direction. The reflection of a red shape against an axis followed by a reflection of the resulting green shape against a second axis parallel to the first one results in a total motion which is a translation of the red shape to the position of the blue shape.
What is the area of the figure below?
Answers
Answer:
104
Explanation:
1. Split the figure by the line the larger portion creates.
2. Calculate the area of the left-hand side... 7 · 8 = 56cm squared.
3. You know that the total length of the figure is 15cm. You've already "used" 7cm of that. So... 15 - 7 = 8.
4. Now, we simply do 6 · 8 = 48. Almost there!
5. Finally, add the values of the left side and the right side (48 + 56 = 104)
6. YOUR ANSWER IS 104 cm squared.
which equation would be the easiest to solve first by using the substitution method? EXPLAIN WHY
equation 1: 3x+5y= -8
equation 2: x- 2y=1
Answers
Answer:
Equation 2: x - 2y = 1
Step-by-step explanation:
The equations easiest to use substitution are the ones that have the variable multiplied by one, as in the case of Eq. 2 where x is 1x, so if you substitute a zero for x, we know that y has to be -1/2 for the equation to be true. Furthermore, if you substitute a 0 for y you automatically know that x = 1.
If you try to substitute anything for x in equation 1, let's say x = 1, you still have to multipy by 3, then the rest of the problem would be more steps.
can you help me on part D? dont use advanced math please
Answers
Answer:
A. the first quartile represents the median of the lower half of the data set
B. the third quartile represents the median of the upper half of the data set
Step-by-step explanation:
solve for x and y 5x + 3y=35, 2x+4y=28
Answers
y = 5
x = 4
Answer:
Step-by-step explanation:
Let's solve your system by substitution.
5x+3y=35;2x+4y=28
Step: Solve 5x+3y=35 for x:
5x+3y=35
5x+3y+−3y=35+−3y(Add -3y to both sides)
5x=−3y+35
5x/ 5 = −3y+35/ 5 (Divide both sides by 5)
Step: Substitute −3/ 5 y+7 for x in 2x+4y=28:
2x+4y=28
2( −3/ 5 y+7)+4y=28
14/ 5 y+14=28 (Simplify both sides of the equation)
14/ 5 y+14+−14=28+−14 (Add -14 to both sides)
14/ 5 y=14
14/ 5 y/ 14/ 5 = 14/ 14/ 5
(Divide both sides by 14/5)
y=5
Step: Substitute 5 for y in x= −3/ 5 y+7:
x= −3/ 5 y+7
x= −3/ 5 (5)+7
x=4 (Simplify both sides of the equation)
Answer:
x=4 and y=5
A population of 55 foxes in a wildlife preserve quadruples in size every 11 years. The function y equals 55 times 4 Superscript x, where x is the number of 11-year periods, models the population growth. How many foxes will there be after 33 years?
Answers
Answer:
Step-by-step explanation:
55*4^(33/11) = 55*4^3 = 55*64 = 3520
1897 rounded to the nearest 1000
Answers
Answer:
200
Step-by-step explanation:
2000 because 8 is big so you are able to round it to become 2 in the 1000
only correct answer ...
not for points .
with explaination !!!!.
the diameter of rectangular box are in the ratio 2:3:5 and difference between the cost of covering with sheet of paper at the rate of ₹4 and ₹4.50 per m² is 416 . Find the dimension of box .
Answers
Answer: 166.4/249.6/416
Step-by-step explanation:
Can someone explain just one of the three
Answers
-8j + 14 = -2(4j-7)
So you distribute -2 into the parentheses on the right side, and you get -8j + 14, which is the same as the left side. Therefore, it is a true statement. It turns from a - to a + because it is two negative numbers multiplying by each other.
.Answer pls. question in photo
Answers
Answer:
+7=36
Step-by-step explanation:
Answer:56
Step-by-step explanation:
Find the vertex of the parabola y = 2x2 + 10x + 8
Answers
Answer:
The vertex is -5/2 and -9/2
Step-by-step explanation:
I looked it up on math
way
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.
y = a(x-h)² + k
where,
(h, k) are the coordinates of the vertex of the parabola in the form (x, y);
a defines how narrower the parabola is, and the "-" or "+" that the parabola will open up or down.
The general form of a parabola is written in the form ax²+bx+c, which is a quadratic equation. While the vertex form of the parabola is written as y=a(x-h)² + k.
Given that the equation of the parabola is y = 2x² + 10x + 8. Now if we compare the general equation of the parabola with ax²+bx+c, the value of a, b, and c will be 2, 10, and 8, respectively.
Further, the vertex of the parabola can be written as,
h =−b/2a
h = -10 / 2(2)
h = -10/4
h = -2.5
k = -(b² - 4ac) / 4a
k = -[10² - 4(2)(8)] / 4(2)
k = (100 - 64) / 8
k = -36/8
k = -4.5
Hence, the vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).
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13. How can you use estimation to find
92 +92 +92 +92 +92?
Answers
Answer:
bye adding them in your head
8x=2 what is the value ofx
Answers
Answer:
0.25
Step-by-step explanation:
8x=2
[tex] = > x = \frac{2}{8} [/tex]
[tex] = > x = \frac{1}{4} or \: 0.25(ans)[/tex]
Step-by-step explanation:
8x=2
= > x = \frac{2}{8} =>x=
8
2
= > x = \frac{1}{4} or \: 0.25(ans)=>x=
4
1
or0.25(ans)
pls help!! what is x
Answers
Answer:
x is a variable to fill in something that is unknown. its like a question mark
Step-by-step explanation:
pleAseeeeeeeeee can someone help me
Answers
Answer:
102.4
Step-by-step explanation:
hope that helps beautiful ;-)