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iragen [17]
3 years ago
13

1) Name the x-intercept of the graph for the equation 4x +2y = 8

Mathematics
2 answers:
Ksju [112]3 years ago
7 0

Answer:

The x-intercept is at (2,0).

Step-by-step explanation:

The x-intercept(s) can be found by setting y to 0 and solving for x.

Your equation is:

4x+2y=8.

To find x-intercept replace y with 0:

4x+2(0)=8

4x =8

Divide both sides by 4:

x =2

The x-intercept is at (2,0).

miskamm [114]3 years ago
5 0

How to write x-intercept:

(x, 0)

To find the x intercept using the equation you must plug in 0 for y then solve for x:

4x + 2(0) = 8

4x + 0 = 8

4x = 8

4x/4 = 8/4

x = 2

That means that (2, 0) is the x-intercept

Hope this helped!

~Just a girl in love with Shawn Mendes

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140m^2

Step-by-step explanation:

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6 0
3 years ago
A) If the line 2x + 3y -8=0 is perpendicular to the line kx-6y =9 find k.​
blsea [12.9K]

Answer:

k = 9.

Step-by-step explanation:

2x + 3y -8=0

3y = -2x + 8

y = -2/3 x + 8/3

So the slope of this line is -2/3.

Therefore the slope of a line perpendicular to the above is -1 /-2/3

= 3/2.

kx - 6y = 9

6y = kx - 9

y = k/6x - 3/2

But the slope is 3/2,

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3 0
2 years ago
Solve the system of linear equations by substitution.
SVEN [57.7K]

Answer:

Answer:

x= 29/11 or y= 25/11

Step-by-step explanation:

2x - y= 3 ...........equation 1

x + 5y= 14 ............equation 2

Make x the subject of the formula in equation 2

x= 14 - 5y ..............equation 3

Substitute x=14 - 5y in equation 1

2(14- 5y) - y=3

28 - 10y - y=3

Collect like terms

-10y - y=3 - 28

-11y= -25

divide both sides by coefficient of y

-11y/-11 = -25/-11

y= 25/11

Substitute y= 25/11 in equation 3

x=14 - 5(25/11)

x= 14 - 125/11

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Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Is​ f(x) continuous at x equals 4​? Why or why​ not? A. ​No, f(x) is not continuous at x equals 4 because ModifyingBelow lim Wit
soldier1979 [14.2K]

<u>Corrected Question</u>

Is the function given by:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right ​

continuous at x=4​? Why or why​ not? Choose the correct answer below.

Answer:

(D) ​Yes, f(x) is continuous at x = 4 because Lim_{x \to 4}f(x)=f(4)

Step-by-step explanation:

Given the function:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right

A function to be continuous  at some value c in its domain if the following condition holds:

  • f(c) exists and is defined.
  • Lim_{x \to c}$ f(x) exists.
  • f(c)=Lim_{x \to c}$ f(x)

At x=4

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  • Lim_{x \to 4}f(x)=2

Therefore: Lim_{x \to 4}f(x)=f(4)=2

By the above, the function satisfies the condition for continuity.

The correct option is D.

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Answer:

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Step-by-step explanation:

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