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3 years ago

Given the function f(x) =-2/3x+2 solve for the x-and y-intercepts . Use the intercepts to graph the function .

Mathematics

1 answer:

Eva8 [605]3 years ago

6 0

Answer:

Step-by-step explanation:

f(x) = (-2/3)x + 2 is clearer.

To find the x-intercept(s), set this function equal to zero and solve for x:

0 = (-2/3)x + 2, or (2/3)x = 2. Multiplying both sides by the reciprocal 3/2 of the slope 2/3, we get: x = (3/2)(2) = 3.

Thus, x = 3 when y = 0. This is the x-intercept: (3, 0)

To find the y-intercept(s), set x = 0 and find y: (-2/3)(x) + 2 = 2. Therefore, the y-intercept is (0, 2).

To graph this line, plot the x- and y-intercepts found above. Then connect these two points with a straight line.

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What are the steps to solve the quadratic equation x^2+4x-6=0

makvit [3.9K]

$METHOD\ 1:\\\\Use:\\\\(*)\qquad(a+b)^2=a^2+2ab+b^2\\---------------------\\\\x^2+4x-6=0\qquad\text{add 6 to both sides}\\\\x^2+4x=6\\\\x^2+2(x)(2)=6\qquad\text{add}\ 2^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(2)+2^2}_{(*)}=6+2^2\\\\(x+2)^2=6+4\\\\(x+2)^2=10\Rightarrow x+2=\pm\sqrt{10}\qquad\text{subtract 2 from both sides}\\\\\boxed{x=-2-\sqrt{10}\ \vee\ x=-2+\sqrt{10}}$

$METHOD\ 2:\\\\\text{use the quadratic formula:}\\\\ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta>0,\ \text{the equation has two solutions}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\if\ \Delta=0,\ \text{then the equation has one solution:}\ x=\dfrac{-b}{2a}\\\\if\ \Delta$

$x^2+4x-6=0\\\\a=1,\ b=4,\ c=-6\\\\\Delta=4^2-4(1)(-6)=16+24=40>0\\\\\sqrt\Delta=\sqrt{40}=\sqrt{4\cdot10}=\sqrt4\cdot\sqrt{10}=2\sqrt{10}\\\\x_1=\dfrac{-4-2\sqrt{10}}{2(1)}=\dfrac{-4}{2}-\dfrac{2\sqrt{10}}{2}=-2-\sqrt{10}\\\\x_2=\dfrac{-4+2\sqrt{10}}{2(1)}=\dfrac{-4}{2}+\dfrac{2\sqrt{10}}{2}=-2+\sqrt{10}$

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3 years ago

Use the even/off identities to verify the identity

g100num [7]

I sent the solution along with explanations.

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3 years ago

I WILL GIVE BRAINLIEST

trasher [3.6K]

Probability helps us to know the chances of an event occurring. The correct option is A.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring.

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Dependent events are those events in which the outcome of the first event affects the outcome of the second event. The statement that is correct about the dependent event is that the probability of all dependent events can be calculated using the "OR" formula P(A+B) =P(A) +P(B)-P(A and B).

Hence, the correct option is A.

Learn more about Probability:

brainly.com/question/795909

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3 0

2 years ago

HELP WILL GIVE BRAINLIST

Step2247 [10]

Answer:

Simplify {4}^{2}42 to 1616.

-16+2\times -4\times -5-2\times {2}^{3}−16+2×−4×−5−2×23

Simplify 2\times -42×−4 to -8−8.

-16-8\times -5-2\times {2}^{3}−16−8×−5−2×23

Simplify 8\times -58×−5 to -40−40.

-16-(-40)-2\times {2}^{3}−16−(−40)−2×23

Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}xaxb=xa+b.

-16-(-40)-{2}^{4}−16−(−40)−24

Simplify {2}^{4}24 to 1616.

-16-(-40)-16−16−(−40)−16

Remove parentheses.

-16+40-16−16+40−16

Simplify -16+40−16+40 to 2424.

24-1624−16

Simplify.

Step-by-step explanation:

hope it helps :)

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3 years ago

Suppose that an open box is to be made from a square sheet of cardboard by cutting

Stells [14]

Answer:

L = 18 inches

Step-by-step explanation:

if s is side length

400 = s•s•4

s² = 100

s = 10

so the original flat cardboard square has sides of

L = 10 + 4 + 4

L = 18 inches

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3 years ago