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3 years ago

What is a possible equation for a function with an x-intercept of (-5,0) and a y-intercept of (0,3)?

Mathematics

1 answer:

Feliz [49]3 years ago

5 0

Answer:

The equation of a straight line is

-3 x+5 y=15

Step-by-step explanation:

Given x - intercept of (-5,0) and y- intercept is (0,3)

here (-5,0 ) point lie on x- axis and (0,3) this point lie on y- axis

we know that the x- intercept 'a' and y- intercept 'b' formula is

$\frac{x}{a} +\frac{y}{b} = 1$

so given x - intercept a =-5 and y- intercept is b= 3

now the straight line equation is $\frac{x}{-5} +\frac{y}{3} =1$

now simplify $\frac{-3 x+5 y}{15} =1$

$-3 x+5 y=15$

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Find the solutions to the equation 102x 11 = (x 6)2 – 2. Which values are approximate solutions to the equation? Select two answ

otez555 [7]

You can try finding the roots of the given quadratic equation to get to the solution of the equation.

There are two solutions to the given quadratic equation

$x = 0.202, x = 113.798$

<h3>How to find the roots of a quadratic equation?</h3>

Suppose that the given quadratic equation is $ax^2 + bx +c = 0$

Then its roots are given as:

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

<h3>How to find the solution to the given equation?</h3>

First we will convert it in the aforesaid standard form.

$102x + 11 = (x-6)^2 - 2\\102x + 11 + 2 = x^2 + 36 - 12x\\0 = x^2 -114x + 23\\x^2 -114x + 23 = 0\\$

Thus, we have

a = 1. b = -114, c = 23

Using the formula for getting the roots of a quadratic equation,

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{114 \pm \sqrt{114^2 - 92}}{2} \\\\ x = 0.202 (\text{used "-" sign})\\\\x = 113.798 ( used "+" sign})$

Thus, there are two solutions to the given quadratic equation

$x = 0.202, x = 113.798$

Learn more here about quadratic equations here:

brainly.com/question/3358603

5 0

3 years ago

What fraction represents 1/8 of 6

Natalija [7]

Answer:

$\frac{3}{4}$

Step-by-step explanation:

Replace of by ×, that is

$\frac{1}{8}$ × 6

Cancel the 8 and 6 by 2, leaving

$\frac{3}{4}$

3 0

4 years ago

A new bank customer with $4 comma 500 wants to open a money market account. The bank is offering a simple interest rate of 1.5

Jet001 [13]

a) Simple interest earned by customer in 10 years is $ 675

b) Account balance after 10 years is $ 5175

<em><u>Solution:</u></em>

<em><u>The simple interest is given by formula:</u></em>

$Simple\ Interest = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"r" is the rate of interest

"n" is the number of years

<em><u>a. How much interest will the customer earn in 10 years?</u></em>

From given,

Principal = p = $ 4500

Simple interest rate = r =1.5 %

n = 10

Substituting the values in formula,

$Simple\ Interest = \frac{4500 \times 10 \times 1.5}{100}\\\\Simple\ Interest = 450 \times 1.5\\\\Simple\ Interest = 675$

Thus simple interest earned by customer in 10 years is $ 675

<em><u>b. What will the account balance be after 10 years ?</u></em>

Account balance = principal + simple interest

Account balance = 4500 + 675 = 5175

Thus account balance after 10 years is $ 5175

8 0

3 years ago

Ben used vector DE to translate triangle ABC. Ben made an error in his work. What is Ben’s error? If Ben had completed the trans

Nana76 [90]

Answer:

He translated them the wrong way.

It should of gone up 2 and right 2 not down 2 and left 2.

The correct coordinates would be (A' = 3,0) (B' = 3, -3) (C' = 2, -2)

Please mark brainliest would rly help.

Step-by-step explanation:

7 0

3 years ago

Pls hewllllll[p ill give anytthing picture is down

True [87]

Answer:

It would be A

Step-by-step explanation:

The other answers do not make sense.

First of all: Area= length x width.

Two of the options were larger than 49.7, so we could cross those out

Then, we look at A and B.

46.2 x 3.5 = 161.7, which is WAY larger than 49.7.

Since we have no option left to test, we can test A:

14.2 x 3.5= 49.7

Now we cam be sure that the answer is 14.2, or, A.

HOPE THIS HELPED:)

7 0

2 years ago