All categories

3 years ago

Solve for x 6x - 2/4 =x - 2 Enter your answer in the box. x =

Mathematics

1 answer:

kramer3 years ago

3 0

Answer:

0.3

Step-by-step explanation:

you would add -2/4 to both sides and subtract x from both sides to get 5x=1.5 which you can reduce to 0.3

You might be interested in

Write a function rule for the table.

Sati [7]

Answer:

p = 7.50h

Step-by-step explanation:

The answer has to be in the form of p =, since p is the pay which represents our y value, and the hours worked represents our x value. You can find the slope of the line by using the formula and any two points on the table:

$m=\frac{30-15}{4-2}=\frac{15}{2}$

That simplifies to 7.5. So the slope of the line is 7.5. We also know that the line goes through the origin (0, 0), which means, according to our data (and any data in the real world) that if you work 0 hours (x) you get 0 pay (y). So the y intercept of the line is 0. The equation, then, in slope-intercept form, is

p = 7.50h, the first choice. This means that the employee makes $7.50 per hour and should probably consider a new job.

8 0

3 years ago

Round 13.2 feet to a whole number

disa [49]

Rounding to a whole number means rounding a decimal digit number to the nearest whole number and eliminating the decimal digit.

To do so we should have a look at the decimal digit

Here we have 13.2

here the 2 is the digit in the decimal

We already know that when the number to be rounded is less than 5 then it is rounded to the whole number preceding it and if it is greater than 5 it is rounded to the whole number next to it.

Here we can see that 2 is less than 5 , and it is closer to 13 than to 14. So we can round this number to 13 feet

( Extra point for better understanding: If we have say 13.8 to be rounded to nearest whole number, we can see that 8 is greater than 5 and so it is closer to 14 than to 13 then it will be rounded to 14)

3 0

3 years ago

Read 2 more answers

Maths functions <br> please help!

Vlad [161]

Answer:

$\textsf{1)} \quad f(x)=-x+3$

2) A = (3, 0) and C = (-3, 0)

$\textsf{3)} \quad g(x)=x^2-9$

4) AC = 6 units and OB = 9 units

Step-by-step explanation:

Given functions:

$\begin{cases}f(x)=mx+c\\g(x)=ax^2+b \end{cases}$

Given points:

H = (-1, 4)
T = (4, -1)

As points H and T lie on f(x), substitute the two points into the function to create two equations:

$\textsf{Equation 1}: \quad f(-1)=m(-1)+c=4 \implies -m+c=4$

$\textsf{Equation 2}: \quad f(4)=m(4)+c=-1 \implies 4m+c=-1$

Subtract the first equation from the second to eliminate c:

$\begin{array}{r l} 4m+c & = -1\\- \quad -m+c & = \phantom{))}4\\\cline{1-2}5m \phantom{))))}}& = -5}\end{aligned}$

Therefore m = -1.

Substitute the found value of m and one of the points into the function and solve for c:

$\implies f(4)=-1(4)+c=-1$

$\implies c=-1-(-4)=3$

Therefore the equation for function f(x) is:

$f(x)=-x+3$

Function f(x) crosses the x-axis at point A. Therefore, f(x) = 0 at point A.

To find the x-value of point A, set f(x) to zero and solve for x:

$\implies f(x)=0$

$\implies -x+3=0$

$\implies x=3$

Therefore, A = (3, 0).

As g(x) = ax² + b, its axis of symmetry is x = 0.

A parabola's axis of symmetry is the midpoint of its x-intercepts.

Therefore, if A = (3, 0) then C = (-3, 0).

Points on function g(x):

A = (3, 0)
G = (1, -8)

Substitute the points into the given function g(x) to create two equations:

$\textsf{Equation 1}: \quad g(3)=a(3)^2+b=0 \implies 9a+b=0$

$\textsf{Equation 2}: \quad g(1)=a(1)^2+b=-8 \implies a+b=-8$

Subtract the second equation from the first to eliminate b:

$\begin{array}{r l} 9a+b & = \phantom{))}0\\- \quad a+b & =-8\\\cline{1-2}8a \phantom{))))}}& = \phantom{))}8}\end{aligned}$

Therefore a = 1.

Substitute the found value of a and one of the points into the function and solve for b:

$\implies g(3)=1(3^2)+b=0$

$\implies 9+b=0\implies b=-9$

Therefore the equation for function g(x) is:

$g(x)=x^2-9$

The length AC is the difference between the x-values of points A and C.

$\implies x_A-x_C=3-(-3)=6$

Point B is the y-intercept of g(x), so when x = 0:

$\implies g(0)=(0)^2-9=-9$

Therefore, B = (0, -9).

The length OB is the difference between the y-values of the origin and point B.

$\implies y_O-y_B=0-(-9)=9$

Therefore, AC = 6 units and OB = 9 units

3 0

2 years ago

Read 2 more answers

Simplify 4(7-10)^/(-6)-5*(-2)

trasher [3.6K]

Use your calculator put all of them together then you’ll get your answer

8 0

3 years ago

Find the slope of the line that passes through the pair of points. (if an answer is undefined, enter undefined.) (−a + 2, b − 3)

inysia [295]

M=(y2-y1)/(x2-x1)
(x1,y1)=<span>(−a + 2, b − 3)
</span> (x2,y2)=<span>(a + 2, −b)
then, </span>substituting
m=((-b)-(b − 3))/((a + 2)-(−a + 2))
m=(-2b+3)/(2a)
with
a=/0

3 0

3 years ago