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2 years ago

13

The graph below shows how many cookies can be made depending on how many cups of flour are used. How many cookies will be made i

f 18 cups of flour are used?
192 cookies
96 cookies
48 cookies
288 cookies

2 answers:

koban [17]2 years ago

7 0

Answer:

288

Step-by-step explanation:

Find the 18 on the x axis. Go up to the line. Then go left and you will be at 288 on the y axis.

You can also divide a known coordinate to find the rate of change, since the graph is proportional. Use (6, 96). y/x = rate of change

96/6 = 16.

Now multiply 18 and 16 to get the number of cookies.

18 x 16 = 288

vichka [17]2 years ago

7 0

The answer to the following equation is 288 cookies

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

2 years ago

How would I do this? What would it be?

Vinvika [58]

50

Step-by-step explanation:

Since AE is the bisector of angle BAC,so angle BAE and Angle CAE is equal. Here Angle CAE and Angle EAC is same.

therefore,

m(Angle BAE)=m(Angle EAC)

$x + 30 = 3x - 10$

or, 2x=40

or, x=20

Hence,

m(Angle EAC)=

$3x - 10$

=

$(3 \times 20) - 10 = 60 - 10 = 50$

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3 years ago

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The function f(x) = 3,267(1 + 0.02)* represents the amount of money in a savings account where x represents time in years. What

andreyandreev [35.5K]

Answer:

C .The initial amount of money placed in the savings account

Step-by-step explanation:

f(x) = 3,267(1 + 0.02)^x

This is in the form

y = a b^x

where a is the initial amount

b is the growth rate

x is the time

3267 is the initial amount

1.02 is the growth rate, so it grows by .02 or 2 percent

and x is the time

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3 years ago

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klasskru [66]

Where are the functions?
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3 years ago

The ratio 5:20 written as a fraction

iogann1982 [59]

Answer:

<em> </em><em>1</em><em>:</em><em>4</em>

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3 years ago

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