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Mnenie [13.5K]
3 years ago
12

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

Mathematics
1 answer:
Lynna [10]3 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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adam prepares a meal of shrimp and brown rice. it must contain exactly 6 g of fat and 10 mg of iron. each 5oz serving of shrimp
jasenka [17]

Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).


Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.


You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

5s + 7r = 10     (2)


In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

and solve for r:

15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8


Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

6 0
3 years ago
Helga and Dora were solving the following problem together. A boat left Kyuquot and headed west at 15.5 km/h. A second boat left
Romashka-Z-Leto [24]

Answer:

15.5t=18(t-0.5) is the correct answer

Step-by-step explanation:

if the first boat travels t time then the second traveld t-0.5 time to take over

3 0
3 years ago
Find the volume of a cylinder of radius 10 cm and height 22 cm. ANSWERS: 6,911.5 cm3 691.2 cm3 20.9 cm3 62.8 cm3
goldfiish [28.3K]

Answer:

= 6911.5 {cm}^{3}  \\

Step-by-step explanation:

v = \pi {r}^{2} h \\  = \pi \times  {10}^{2}  \times 22 \\  = 6911.5 {cm}^{3}

hope this helps you.

7 0
3 years ago
A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6
Anuta_ua [19.1K]

Answer:

The proportion of exam scores that are lower than Irina's score is 0.9938

Step-by-step explanation:

<u>Data</u>

  • mean: 80 points
  • standard deviation (sd): 6 points
  • value of interest (x): 95 points

z-score is computed as follows:

z = (x - mean)/sd

z = (95 - 80)/6 = 2.5

We want to find:

P(z < 2.5)

From the table attached:

P(z < 2.5) = 0.9938

3 0
3 years ago
2 tacos cost $6. What is the cost for 6 tacos?
ipn [44]

Answer:

2 tacos = $6

1 tacos = $3

6 tacos = 6 X 3

= $18

18$ is the cost for 6 tacos

7 0
3 years ago
Read 2 more answers
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