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aliina [53]
3 years ago
9

A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.) How ma

ny ounces of almonds would be in a one-pound bag (16 ounces) of this trail mix?
Mathematics
1 answer:
grin007 [14]3 years ago
3 0

Answer:

x = 9 1/3 ounces of almonds

Step-by-step explanation:

Ounces of almonds : raisins

= 7 : 5

Total = 7 + 5

= 12

How many ounces of almonds would be in a one-pound bag (16 ounces) of this trail mix

Let

x = Ounces of almonds needed

x = 7 /12 × 16

= 112 /12

= 9 4/12

= 9 1/3

x = 9 1/3 ounces

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The polynomial of degree 4, P ( x ) , has a root of multiplicity 2 at x = 1 and roots of multiplicity 1 at x = 0 and x = − 2 . I
ICE Princess25 [194]

We want to find a polynomial given that we know its roots and a point on the graph.

We will find the polynomial:

p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x

We know that for a polynomial with roots {x₁, x₂, ..., xₙ} and a leading coefficient a, we can write the polynomial equation as:

p(x) = a*(x - x₁)*(x - x₂)...*(x - xₙ)

Here we know that the roots are:

  • x = 1 (two times)
  • x = 0
  • x = -2

Then the roots are: {1, 1, 0, -2}

We can write the polynomial as:

p(x) = a*(x - 1)*(x - 1)(x - 0)*(x - (-2))

p(x) = a*(x - 1)*(x - 1)*(x + 2)*x

We also know that this polynomial goes through the point (5, 336).

This means that:

p(5) = 336

Then we can solve:

336 = a*(5 - 1)*(5 - 1)*(5 + 2)*5

336 = a*(4)*(4)*(7)*5

336 = a*560

366/560 = a = 183/280

Then the polynomial is:

p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x

If you want to learn more, you can read:

brainly.com/question/11536910

5 0
2 years ago
If x = 2 and y = -3, what is the value of 2x^2−3xy−2y^2<br> HELPPP
oksano4ka [1.4K]

Answer:

8

Step-by-step explanation:

2(2)^2‒3(2*‒3)‒2(‒3)^2

2*4‒3(‒6)‒2(9)

8‒(‒18)‒18

8+18‒18

26‒18

8

i think it is easy to understand &i hope it will helps you

8 0
3 years ago
A formula for the relationship between weight and blood pressure in children is given by the formula below where P(x) is measure
photoshop1234 [79]

Answer:

The rate of change of blood pressure at the 50-pound weight level is 0.26

The rate of change of blood pressure at the 80-pound weight level is 0.16

Step-by-step explanation:

We have, P(x) = 12.9(9 + ln x)

We need to compute the rate of change of blood pressure P(x) so, we will differentiate the function P(x) with respect to x.

P(x) = 12.9(9 + ln x)

P(x) = 116.1 + 12.9ln x

Differentiating with repect to x:

\frac{d(P(x))}{dx} = 0 + 12.9 (\frac{1}{x})

\frac{d(P(x))}{dx} = 12.9 (\frac{1}{x})

The differential of ln x is \frac{1}{x} and the differential of constant terms is 0.

The rate of change of blood pressure at the 50-pound weight level can be calculate by substituting 50 in place of x, so

\frac{d(P(x))}{dx} = 12.9 (\frac{1}{x})

          = 12.9 * (1/50)

          = 0.258

\frac{d(P(x))}{dx} = 0.26

Similarly, The rate of change of blood pressure at the 80-pound weight level can be calculate by substituting 80 in place of x, so

\frac{d(P(x))}{dx} = 12.9 (\frac{1}{x})

          = 12.9 * (1/80)

          = 0.16125

\frac{d(P(x))}{dx} = 0.16

6 0
3 years ago
Read 2 more answers
What’s the answer to this question
Semenov [28]

Area Formula:

a + b  \times .5 \times h

7+10.4 x .5 x 6.7

Answer: 58.29

I hope this is right!

4 0
3 years ago
the difference between the squares of two numbers is 3. Twice the square of the first number increased by the square of the seco
Maurinko [17]

Answer:

The number are \sqrt{6} and \sqrt{6} .

Step-by-step explanation:

Given as :

The difference between the squares of two number = 3

And , Twice the square of the first number increased by the square of the second number is 9

Now, Let The first number = F

And The second number = S

So , According to question

F² - S² = 3                  .......A

2 F² - S² = 9               ........B

Now, solving the equations

( 2 F² - S² ) - ( F² - S² ) = 9 - 3

Or, ( 2 F² - F² ) + ( S² - S² ) = 6

Or, F² + 0 = 6

∴   F = \sqrt{6}

Putting the value of F in eq A

So, (  \sqrt{6} )² - S² = 3  

Or, 6 - 3 = S²

Or, S² = 3

∴   S = \sqrt{3}

So, The number are \sqrt{6} , \sqrt{6}

Hence The number are \sqrt{6} and \sqrt{6} . Answer

8 0
3 years ago
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