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djyliett [7]
3 years ago
14

Identify the value of a if

Mathematics
1 answer:
Serga [27]3 years ago
7 0

Answer:

a=1/3

Step-by-step explanation:

from the point on the graph

x=4 and y=8

substitute them into the equation:

y=a(x-2) (2x+4)

you will get

8=a(4-2) (2(4)+4)

8=a(2) (8+4)

8=a(2) (12)

8=2a×12

8=24a

divide both sides by 24

8/24=24a/24

1/3=a or a=1/3

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The ratio of oranges to apples in Helen's basket is 4:3. The basket has 12 apples in it. How many oranges are in the basket?
frez [133]

Answer:

16 oranges

Step-by-step explanation:

The ratio of oranges to apples is 4:3 which means that for every four oranges, there are 3 apples.

Since there are 12 apples in the basket, to find the number of oranges, set up a ratio.

4/3 = x/12 (x represents the number of oranges)

Cross multiply.

48 = 3x

Divide by 3.

x = 16

There are 16 oranges in the basket.

Hope that helps.

3 0
3 years ago
Allen has a photo that is 6 in by 8 in. What will the dimensions of the photo be if he scales it down by a factor of one-half ?
Mice21 [21]
To solve this divide the length and width of the photo by 2. Your new dimensions should be 3in x 4in.
6 0
3 years ago
Need help on question 5 please.
Irina18 [472]

Answer:

the answer is a

Step-by-step explanation:

6 0
3 years ago
Consider f and c below. f(x, y) = x2 i + y2 j c is the arc of the parabola y = 2x2 from (−1, 2) to (1, 2) (a) find a function f
Korvikt [17]
If there is some scalar function f(x,y) such that

\nabla f(x,y)=\mathbf f(x,y)=x^2\,\mathbf i+y^2\,\mathbf j

then we want to find f such that

\dfrac{\partial f}{\partial x}=x^2\implies f(x,y)=\dfrac{x^3}3+g(y)
\dfrac{\partial f}{\partial y}=y^2=\dfrac{\mathrm dg}{\mathrm dy}\implies g(y)=\dfrac{y^3}3+C
\implies f(x,y)=\dfrac{x^3}3+\dfrac{y^3}3+C

So the vector field \mathbf f(x,y) is conservative, which means the fundamental theorem applies; the line integral of \mathbf f along any path \mathcal C parameterized by some vector-valued function \mathbf r(t) over a\le t\le b is given by

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=a}^{t=b}\mathbf f(\mathbf r(t))\cdot\dfrac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt=f(\mathbf r(b))-f(\mathbf r(a))

In this case,

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(1,2)-f(-1,2)=\dfrac23
5 0
3 years ago
What is a quartic function with only the two real zeroes given?<br><br> x=5 and x=1
Paha777 [63]

The answer is

Y=x^4-6x^3 +6x^2 -6x+5

7 0
3 years ago
Read 2 more answers
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