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3 years ago

Order the group of quadratic functions from widest to narrowest graph. y=3x^2, y=5x^2, y=7x^2.

Mathematics

1 answer:

Vesnalui [34]3 years ago

6 0

Answer:

y=3x^2,y=5^2,y=7x^2

Step-by-step explanation:

y=3x^2 is the widest, y=7x^2 is the narrowest, which leaves y=5x^2 in the middle

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What is a boiling point.

Ludmilka [50]

Answer:

the temperature at which a liquid boils and turns to vapor.

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Kayson mixes 300 milliliterss of spinach, 200 mL of berries, and 42 mL of dressing to make a salad. There are sss milligrams of

Leya [2.2K]

Let T be total number of milligrams of vitamin C in our salad.

We have been given that there are s milligrams of vitamin C per milliliter of spinach, B mg per milliliter of berries, and D mg per milliliter of dressing.

Let us find how much mg of vitamin C our each ingredient of salad will have.

We have been given that a salad contains 300 milliliters of spinach, 200 ml of berries, and 42 ml of dressing.

$\text{Mg vitamin C in 300 ml spinach}=300\cdot\text{s mg}$

$\text{Mg vitamin C in 200 ml berries}=200\cdot\text{B mg}$

$\text{Mg vitamin C in 42 ml dressing}=42\cdot\text{D mg}$

To find total milligrams of vitamin C in our salad we will add milligrams of vitamin C in each of three ingredients of salad.

$T=(300s+200B+42D)\text{ mg}$

Therefore, our desired expression will be $T=(300s+200B+42D)\text{ mg}$ .

7 0

3 years ago

Read 2 more answers

Becky wants to buy some fish for her aquarium she has $20 to spend and the fish cost $2.50 each write and solve an inequality to

STatiana [176]

2.50x must be equal or less than 20

x=8

8 fish

8 0

4 years ago

Jasmine has 3 and 3/8 pound of Turkey meat she is making 1/3 pound Turkey burgers does Jasmine have enough meat to make 12 Turke

3241004551 [841]

Answer:

Step-by-step explanation:

To answer this you have to divide 3 and 3/8 by 1/3. The easiest way to do this without a calculator is to do this separately. First divide 3 by 1/3. When dividing fractions, the second number is flipped upside down and the two numbers are multiplied. From 3 pounds, Jasmine will be able to make nine 1/3 pound burgers.

3 ÷ 1/3 = 3 × 3/1 = 9

Next, divide 3/8 by 1/3. From 3/8 pounds, Jasmine will be able to make 1 1/8 burgers

3/8 ÷ 1/3 = 3/8 × 3/1 = 9/8 = 1 1/8

Add the two numbers together.

9 + 1 1/8 = 10 1/8

This is less than 12.

4 0

3 years ago

A collection of 20 coins made up of only nickels, dimes, and quarters has a total value of $3.35. If the dimes were nickels, the

Kay [80]

Answer: The required number of quarters in the collection is 11.

Step-by-step explanation: Given that a collection of 20 coins made up of only nickels, dimes and quarters has a total value of $3.35.

If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75.

We are to find the number of quarters in the collection.

Let x, y and z represents the number of nickels, dimes and quarters respectively in the collection.

We will be using the following values of nickels, dimes and quarters in form of dollar :

1 nickel = $ 0.05, 1 dime = $ 0.10 and 1 quarter = $0.25.

Then, according to the given information, we have

$x+y+z=20\\\\\Rightarrow x=20-y-z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\0.05x+0.10y+0.25z=3.35\\\\\Rightarrow 5x+10y+25z=335\\\\\Rightarrow x+2y+5z=67~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\0.05y+0.25x+0.10z=2.75\\\\\Rightarrow 5y+25x+10z=275\\\\\Rightarrow y+2z+5x=55~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of x from equation (i) in equations (ii) and (iii), we have

$(20-y-z)+2y+5z=67\\\\\Rightarrow y+4z=47\\\\\Rightarrow y=47-4z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)$

and

$y+2z+5(20-y-z)=55\\\\\Rightarrow -4y-3z=-45\\\\\Rightarrow y=\dfrac{45-3z}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Comparing the values of y from equations (iv) and (v), we get

$47-4z=\dfrac{45-3z}{4}\\\\\Rightarrow 188-16z=45-3z\\\\\Rightarrow 16z-3z=188-45\\\\\Rightarrow 13z=143\\\\\Rightarrow z=\dfrac{143}{13}\\\\\Rightarrow z=11.$

Thus, the required number of quarters in the collection is 11.

7 0

3 years ago