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DedPeter [7]
3 years ago
15

Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below.

Mathematics
1 answer:
marta [7]3 years ago
8 0

Answer:

p(x) = 5(x + 3)² - 45

Step-by-step explanation:

Sandra wrote the function as p(x) = 30x + 5x².

So, this is a formula of a parabola, and this we have to convert into vertex form.

Now, rearranging the function we get

p(x) = 5(x² + 6x)

⇒ p(x) = 5(x² + 6x + 9) - 45

⇒ p(x) = 5(x + 3)² - 45

So, this is the vertex form and the vertex of the parabola is (-3,-45).

We know the formula of a parabola having vertex at (m,n) and axis parallel to positive y-axis is given by

(x - m)² = 4a(y - n)

⇒ y = \frac{1}{4a} (x - m)^{2} + n (Answer)

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!ASAP!<br> Please answer soon
yan [13]

Answer:

1. Pyramid= ll+l^2  2. Rectangular prism= 2 lw+2lh+2wh 3. Cylinder= 2pi pi rh+2pi pi r^2  4.Triangular Prism= 2 B + Ph  5. Cone= Pi rl+ pi r^2

Step-by-step explanation:

Pretty sure this is your answer. Hope it helps!

6 0
2 years ago
D(1)=3 d(n) = d(n-1) - 14 what is the third term in the sequence
Aliun [14]
2nd term  =  3 - 14 = -11
3rd tern = -11-14 = -25 answer
6 0
3 years ago
Three students earned $48.76 at the bake sell. The students split the earnings evenly, how much did each student recieve?
Sveta_85 [38]

Answer

Find out the  how much did each student recieve .

To prove

Let us assume that  each student earned in the bake sell be x .

As given

Three students earned $48.76 at the bake sell.

The students split the earnings evenly i.e earning is divided into three equal parts .

Than the equation becomes

x = \frac{48.76}{3}

Solving the above

x = $16.25(approx)

Therefore the  each student recieve $16.25(approx) .

Hence proved


4 0
3 years ago
Read 2 more answers
How do you 43-45. Please I’m struggling
SpyIntel [72]
Can you show the mentioned diagram?
6 0
3 years ago
Can you write a real world problem that uses Pythagorean theorem ?
elena-14-01-66 [18.8K]

1) Road Trip: Let’s say two friends are meeting at a playground. Mary is already at the park but her friend Bob needs to get there taking the shortest path possible. Bob has two way he can go - he can follow the roads getting to the park - first heading south 3 miles, then heading west four miles. The total distance covered following the roads will be 7 miles. The other way he can get there is by cutting through some open fields and walk directly to the park. If we apply Pythagoras's theorem to calculate the distance you will get:

(3)<span>2 </span>+ (4)2 =

9 + 16 = C2

√25 = C

5 Miles. = C

Walking through the field will be 2 miles shorter than walking along the roads. .

2) Painting on a Wall: Painters use ladders to paint on high buildings and often use the help of Pythagoras' theorem to complete their work. The painter needs to determine how tall a ladder needs to be in order to safely place the base away from the wall so it won't tip over. In this case the ladder itself will be the hypotenuse. Take for example a painter who has to paint a wall which is about 3 m high. The painter has to put the base of the ladder 2 m away from the wall to ensure it won't tip. What will be the length of the ladder required by the painter to complete his work? You can calculate it using Pythagoras' theorem:

(5)<span>2 </span>+ (2)2 =

25 + 4 = C2

√100 = C

5.3 m. = C

Thus, the painter will need a ladder about 5 meters high.

3) Buying a Suitcase: Mr. Harry wants to purchase a suitcase. The shopkeeper tells Mr. Harry that he has a 30 inch of suitcase available at present and the height of the suitcase is 18 inches. Calculate the actual length of the suitcase for Mr. Harry using Pythagoras' theorem. It is calculated this way:

(18)<span>2 </span>+ (b)2 = (30)2

324 + b2 = 900

B2 = 900 – 324

b= √576

= 24 inches

6 0
3 years ago
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