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3 years ago

Diagnostic

Mathematics

1 answer:

seraphim [82]3 years ago

3 0

Answer:

In 26 seconds to complete a transaction, 2 products are being purchased.

Step-by-step explanation:

1 item = 9 seconds

Time taken in all to check out = 8 seconds

Time taken to shop = 26 seconds

Now as check out process takes 8 seconds, so the

Time left to ACTUALLY SHOP = Total Time - Time Used to check out

= 26 seconds = 8 seconds = 18 seconds

Shopping of 1 item = 8 seconds

Shopping of 2 items = 2 x ( Time taken in 1 item) = 2 x 9 = 18 seconds

So, in 18 seconds, 2 clothing item can be selected.

Hence,in 26 seconds to complete a transaction, 2 products are being purchased.

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What is the y-intercept for the graph of this line? 3x - 5y = 6 - 6

photoshop1234 [79]

The right side of the equation is 6-6 which equals 0.

So the equation could be written as 3x-5y = 0

Since the right side of the equation is zero both the x and y intercepts are (0,0)

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Write the equation 90x -10y = 100 in slope-intercept form.

Sergio039 [100]

Answer:

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90x-10y+100

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3 years ago

consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-i

eimsori [14]

we have

$f(x)=x^{2} +2x-15$

we know that

The x-intercept is the value of x when the value of the function is equal to zero

in this problem

Find the roots of the function

equate the function to zero

$x^{2} +2x-15=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2} +2x=15$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} +2x+1=15+1$

$x^{2} +2x+1=16$

Rewrite as perfect squares

$(x+1)^{2}=16$

Square root both sides

$(x+1)=(+/-)\sqrt{16}$

$(x+1)=(+/-)4$

$x=-1(+/-)4$

$x1=-1+4=3$

$x2=-1-4=-5$

$x^{2} +2x-15=(x-3)(x+5)$

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<u>the answer is</u>

the x-intercepts are the points $(3,0)$ and $(-5,0)$

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3 years ago

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AP Math

Archy [21]

The discriminant for a quadratic polynomial gives you information about the polynomial's roots.

Given $y=ax^2+bx+c$ , the discriminant is given by $\Delta=b^2-4ac$ .

There are three possible conclusions you can draw. If $\Delta>0$ , then the quadratic has two distinct real roots. If $\Delta=0$ , then there is one repeated real root. If $\Delta$ , then there are two complex (non-real) roots.

Since you found $\Delta=72>0$ , that means that $y$ has two distinct real roots.

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