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Nookie1986 [14]

2 years ago

5

Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real

number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply. 0 = 2x2 – 7x – 9 0 = x2 – 4x + 4 0 = 4x2 – 3x – 1 0 = x2 – 2x – 8 0 = 3x2 + 5x + 3

2 answers:

Andrews [41]2 years ago

5 0

Answer:

A, C, D

Step-by-step explanation:

Took the test

adoni [48]2 years ago

3 0

Step-by-step explanation

<h3>Prerequisites:</h3>

<u>You need to know: </u>

$b^2 - 4ac = 0 \Rightarrow 1 solution$

$b^2 - 4ac > 0 \Rightarrow 2 solutions$

$b^2 - 4ac < 0 \Rightarrow No\ real\ solutions$

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

$2x^2-7x-9 = 0$

$b^2 - 4ac$

$-7^2 - 4(2)(-9) = 121$

2 Solutions

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

$x^2-4x+4 = 0$

$b^2 - 4ac$

$-4^2 - 4(1)(4) = 0$

1 Solution

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

$4x^2-3x-1 = 0$

$b^2 - 4ac$

$-3^2 - 4(4)(-1) = 25$

2 Solutions

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

$x^2-2x-8 = 0$

$b^2 - 4ac$

$-2^2 - 4(1)(-8) = 36$

2 Solutions

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

$3x^2+5x+3 = 0$

$b^2 - 4ac$

$5^2 - 4(3)(3) = -11$

No Solutions

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

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In 2004, a magazine's circulation was about 1,000,000 readers. In 2014, the magazine had about 2,000,000 readers. Write a linear

professor190 [17]

Answer:

$r(t)=100,000t+600,000$

Step-by-step explanation:

Let

r ----> the number of readers (y-coordinate or dependent variable)

t ----> the number of years after 2000 (x-coordinate or independent variable)

Remember

2004 ----> represent t=4 years

2014 ----> represent t=14 years

we have the ordered pairs

(4,1,000,000) and (14,2,000,000)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{2,000,000-1,000,000}{14-4}$

$m=\frac{1,000,000}{10}$

$m=100,000\frac{readers}{year}$

step 2

Find the equation of the line in point slope form

$r-r1=m(t-t1)$

we have

$m=100,000\\point\ (4,1,000,000)$

substitute

$r-1,000,000=100,000(t-4)$

step 3

Convert to slope intercept form

$r=mt+b$

isolate the variable r

$r-1,000,000=100,000t-400,000\\r=100,000t-400,000+1,000,000\\r=100,000t+600,000$

step 4

Convert to function notation

$r(t)=100,000t+600,000$

6 0

1 year ago

the total reimbursement (in dollars) for driving a company car m miles can be modeled by the function f(x) = 0.45m +5. After a p

Luba_88 [7]

Answer:

The slope becomes 0.5625 and y intercept becomes 12.5.

$65.9375

Step-by-step explanation:

Given that

the total reimbursement function in terms of $m$ miles:

$f(x) = 0.45m +5$

After the policy change, 5 more dollars are added and then total amount is multiplied by 1.25.

To find:

How to transform the graph of f.

Total reimbursement for a trip of 95 miles?

Solution:

$f(x) = 0.45m +5$ can also be written as:

$y = 0.45m +5$

It is nothing but slope intercept form, comparing with $Y = M X+ C$

M is the slope and C is the y intercept.

Slope of the graph is 0.45.

Y intercept is 5.

After change in the function, first of all add $5.

$0.45m + 5+5 = 0.45m+10$

Now, multiply with 1.25

Resulting function becomes:

$f(x) =1.25\times (0.45m+10)\\\Rightarrow f(x) =0.5625m+12.5$

Kindly refer to the attached image for the graph of the two functions.

Now, the slope becomes 0.5625 and y intercept becomes 12.5. This is the transformation.

To find the reimbursement for a trip of 95 miles:

Put m = 95

$f(95) =0.5625\times 95+12.5 = \bold{\$65.9375 }$

8 0

2 years ago

The coordinates of the midpoint of line GH are M(−132,−6) and the coordinates of one endpoint are G(−4, 1). The coordinates of t

Darina [25.2K]

Answer:

Since, the coordinates of the midpoint of line GH are M(\frac{-13}{2}, -6)(

2

−13

,−6) .

The coordinates of endpoint G are (-4,1)

We have to determine the coordinates of endpoint H.

The midpoint of the line segment joining the points (x_1, y_1)(x

1

,y

1

) and (x_2, y_2)(x

2

,y

2

) is given by the formula (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})(

2

x

1

+x

2

,

2

y

1

+y

2

) .

Here, The endpoint G is (-4,1) So, x_1 = -4 , y_1=1x

1

=−4,y

1

=1

Let the endpoint H be (x_2,y_2)(x

2

,y

2

)

The midpoint coordinate M is (\frac{-13}{2}, -6)(

2

−13

,−6) .

So, \frac{-13}{2} = \frac{-4+x_2}{2}

2

−13

=

2

−4+x

2

{-13} = {-4+x_2}−13=−4+x

2

{-13}+4 = {x_2}−13+4=x

2

{x_2}=9x

2

=9

Now, -6 = \frac{1+y_2}{2}−6=

2

1+y

2

-12 = {1+y_2}−12=1+y

2

y_2= -13y

2

=−13

So, the other endpoint H is (-9,-13).

7 0

1 year ago

Write an expression to show the average daily change in temperature of the city 2.34 degrees Celsius -2/7 degrees Celsius -0.45

baherus [9]

2.34+(-2/7)+(-.45)+3/8= Answer than divide by 4 and that will be your average

8 0

2 years ago

Mike is preparing refreshments for a party. To make a smoothie, he will mix 3 1⁄2 quarts of strawberry puree with 2 pints of lem

Shkiper50 [21]

Let's convert all volumes into pint:

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Add up all pints Total = 7+10+2 = 19 pints of smoothie

Or in quart 9.5

Or in Gal 2.375

7 0

2 years ago

Read 2 more answers