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2 years ago

What are the x- and y-intercepts of the graph of y = x2 + 3x − 10? (1 point)

Mathematics

1 answer:

Lynna [10]2 years ago

7 0

Answer:

x-intercepts: (2, 0) and (−5, 0)

y-intercept: (0, −10)

Step-by-step explanation:

y = x^2 + 3x − 10

y-intercept when x = 0 so y = -10, so y-intercept : (0, -10))

x-intercept when y = 0 so

x^2 + 3x − 10 = 0

(x +5)(x - 2) = 0

x + 5 = 0; x = -5

x - 2 = 0; x = 2

So x-intercepts: (-5, 0) and (2,0)

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When 1480 is divided into 12 equal parts, the remainder is 4. What is a correct way to write the quotient?

ahrayia [7]

Hi!

<h3>First, solve the equation. </h3>

<u>1480 ÷ 12 = 123 + with the remainder</u>

<u>If you write it with a remainder, it would be </u><u>123 R4</u>

If you write it as a decimal, it would be 123.33...

<h2>The answer is 123 R4</h2>

Hope this helps! :)

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3 years ago

Read 2 more answers

How do you solve 5y^2 – 33y + 18 = 0 for y

marshall27 [118]

Answer:

Step-by-step explanation:

5*2 = 10-33 = -23+18=5

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3 years ago

Convert 0.15 g/mL to the unit g/L.

maxonik [38]

To convert milliliters to liter, multiply a converson factor of $\frac{1000ml}{L}$ which means that for every 1 Liter, there is exactly 1000 mL. Converting 0.15 g/mL, multiply the conversion factor to cancel out the unit of milliliters, as shown in the solution below:

$0.15 \frac{g}{mL} ( \frac{1000 mL}{L} ) = 150 g/L$

The answer is 150 g/L

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3 years ago

The mean is defined as a

OverLord2011 [107]

All the numbers added up then divided by the amount of numbers.

EX: 5 + 10 + 3 + 8 + 9
35
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3 years ago

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

<u>Answer</u>

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

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2 years ago