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bonufazy [111]
3 years ago
5

You are working with a quadratic equation and construct the following table.

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:

a) Vertex is at (-3, -1)

b) y-intercept is at (0,8)

c) x intercept is at (-4,0) and (-2,0)

d) x=-3

Step-by-step explanation:

We know the vertex is the lowest or highest part of a parabola meaning all the points are reflected across.  It is the only y value without a matching pair

E.x. -1 and 1, -3 and 3

The only point without a corresponding y value is (-3,-1) therefore the vertex is at (-3,-1)

The y-intercept is where the parabola meets the y axis or the x value is equal to 0, we just have to find when x = 0 to find the y intercept

y intercept: (0,8)

For the x intercept's it is just the reverse, you need to find where the parabola crosses the x axis or when y = 0

x intercept 1:(-4,0)

x intercept 2: (-2,0)

The axis of symmetry is also the x coordinate of the vertex which is 3 so

x = 3

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15% of the content of a 454 g can of dog food is protein. How many grams of protein are in the can?
mote1985 [20]

Answer:

521.1

Step-by-step explanation:

8 0
3 years ago
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Mykel is picking out some movies to rent, and he has narrowed down his selections to 66 foreign films, 33 children's movies, 66
uranmaximum [27]

Answer:

Mykel can make 2.79 x 10³² different combinations

Step-by-step explanation:

We can solve this problem using combination

The formula for combination is ⁿCₐ = \frac{n!}{(n - a)!a!}

where n = total number of choices available

a = number of items being chosen

The total movies Mykel wants is 99.

Taking out the sure 66 drama movies,

Mykel is left with 99 - 66 choices = 33 choices.

The total number of choices he is left with is 66 foreign + 33 children + 44 documentaries = 143 movies

Hence, our n = 143 movies

and a = 33 choices

Hence we do, ¹⁴⁴C₃₃ = \frac{143!}{(143 - 33)!33!} = \frac{143!}{110!33!} 2.79 x 10³² combinations

∴ Mykel can make 2.79 x 10³² different combinations.

7 0
3 years ago
Suppose you have $60 to buy shrimp and chicken wings for a party. Shrimp costs $10/Ib and wings cost $6/Ib.
noname [10]

Answer:

you can buy 5lb of wings for $30 and 3lb of shrimp for $30 too

Step-by-step explanation:I forgot what a linear equation was sorry :/

5 0
3 years ago
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Select the best answer for the question.
Tanzania [10]

Answer:

A. 1 hour and 16 minutes

Step-by-step explanation:

There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL.  Calculate the infusion time.

select "No IV pump"

volume = 250 mL

rate = 33 gtt/min

calibration = 10 gtt/mL

Actual formula:

250 /( 33 gtt/min

10x  60)= 1.26 Hours

0.26 x 60 = 16 minutes

So 1.26 Hours = 1 Hour & 16 minutes

hope this will help you

3 0
3 years ago
The line AB had midpoint (2, 5).<br><br>A has coordinates (1, 2).<br><br>Find the coordinates of B.
sveta [45]

Answer:

The line AB, with A(Ax, Ay), B(Bx, By) and midpoint M(Mx, My) satisfying:

Ax + Bx = 2Mx

Ay + By = 2My

=>

2 + Bx = 2*1

5 + By = 2*2

=> Bx = 0

=> By = -1

=> B(0, -1)

Hope this helps!

:)

5 0
3 years ago
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