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3 years ago

What are the x-intercepts of the quadratic function?

Mathematics

2 answers:

maw [93]3 years ago

8 0

To find the x intercept set y = 0

x^2 + x - 2 =0

(x+2)(x-1) = 0

x = -2 , x = 1

Anna71 [15]3 years ago

8 0

Your answer should be the last one, -2 and 1. Hope this helps!

You might be interested in

Friends have a party. Joyce invited 17 friends to a dinner party at her house last Friday

OLEGan [10]

Answer:

Step-by-step explanation:

Joyce reserved number 1 for herself

Of all the possible combinations,

1 and 15 is a perfect match for a perfect square

So,Joyce dinner partner was number 15.

5 0

2 years ago

Oh, boy! Look at that monthly payment from Question 2 above! Molly cannot afford the monthly payment using the 0% financing. She

viktelen [127]

The car payment plan that has an APR of 1.9% is, on the short term, pocket

friendly.

The correct responses are;

First part: The amount of loan Molly needs is $22,495

Second part: Molly's monthly payment will be approximately $286.2

Third part: The total interest Molly will pay using the plan is approximately $1,545.8

Fourth part: The amount the car costs Molly using the plan is approximately $26,540.8

Reasons:

The question parameters are;

Molly is comparing Auto Loans on Jeep website

Selling price of the Jeep, P = $25,495

The down payment Molly has = $2,500

The Cash Allowance = $500

Number of months of payment, n = 84 months

The Annual Percentage Rate, APR, r = 1.9%

First Part:

Loan needed = $25,495 - $2,500 - $500 = $22,495

The amount of loan Molly needs = $22,495

Second Part:

The monthly payment is given by the formula;

$\displaystyle M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}$

Therefore;

$\displaystyle M = \dfrac{22,495 \times \left(\dfrac{0.019}{12} \right) \times \left(1+\dfrac{0.019}{12} \right)^{84} }{\left(1+\dfrac{0.019}{12} \right)^{84} - 1} \approx \mathbf{286.2}$

Molly's monthly payment will be M ≈ $286.2

Third part:

The total interest, I = Sum of payment - Loan amount

∴ The total interest, I ≈ $286.2/month × 84 month - $22,495 ≈ $1,545.8

The total interest Molly will pay using the loan, I ≈ $1,545.8

Fourth part:

The cost of the car, C, using the 1.9% APR financing plan is the sum of the down payment plus sum of the loan repayment

Therefore;

C ≈ $2,500 + $286.2/month × 84 months = $26,540.8

The cost of the car using the 1.9% APR financing plan, C ≈ $26,540.8

The question parameters obtained from a similar question are;

Selling price of the car = $25,495

Financing = 1.9% APR for 84 months with a cash allowance of $500

Learn more about loan payment here:

brainly.com/question/1040657

3 0

3 years ago

WILL AWARD BRAINLIEST ANSWER

Tpy6a [65]

Answer:

$(x - 5)^2 + (y - 7)^2 = 13^2$

$(x - 5)^2 + (y - 7)^2 = 169$

Step-by-step explanation:

Well, the center origin of the circle is given (h,k) = (5,7).

We have to find our radius as they gave us a point. from origin to the edge of the circle.

Using the formula: (x - h)^2 + (y - k)^2 = r^2

Plug in our (h,k) = (5,7) and (x,y) = (10,19) to solve for radius.

(x - h)^2 + (y - k)^2 = r^2

(10 - (5))^2 + (19 - (7)^2 = r^2

(5)^2 + (12)^2 = r^2

25 + 144 = r^2

r^2 = 169

r = 13

5 0

2 years ago

The total cost (in dollars) for a company to manufacture and sell x items per week is C=40x+180, whereas the revenue brought in

crimeas [40]

Answer:

The company needs to sell either 30 or 40 items.

Step-by-step explanation:

We are given that the cost for selling x items given by the function:

$C(x)=40x+180$

And the revenue for selling x items is given by:

$R(x)=68x-0.4x^2$

The profit function is the cost function subtracted from the revenue function:

$P(x)=R(x)-C(x)$

Substitute and simplify:

$\displaystyle \begin{aligned} P(x)&=(68x-0.4x^2)-(40x+180)\\&=68x-0.4x^2-40x-180\\&=-0.4x^2+28x-180\end{aligned}$

To find how many items must be sold in order to obtain a weekly profit of $300, we can let P equal 300 and solve for x. So:

$300=-0.4x^2+28x-180$

Solve for x. Subtract 300 from both sides:

$-0.4x^2+28x-480=0$

We can divide both sides by -0.4:

$x^2-70x+1200=0$

Factor:

$(x-40)(x-30)=0$

Zero Product Property:

$x-40=0\text{ or } x-30=0$

Solve for each case:

$x=40\text{ or } x=30$

So, in order to obtain a weekly profit of $300, the company need to sell either 30 or 40 items.

7 0

3 years ago

Vector bought 15.6 pounds of paintballs. all together, the balls cost 35.99. About how much dis the psinballs cost per pound?

Maslowich

Answer:

$2.31 / lb

Step-by-step explanation:

If Vector bought 15.6 lbs of paintballs, and altogether the balls cost $35.99.

If we want to find out how much the paintballs cost per pound, we need to divide out the cost

$35.99 / 15.6 lbs

2.307 $/lb

We can round this to $2.31 / lb

8 0

3 years ago