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2 years ago

5

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are ration

al, irrational, or nonreal complex.
t 2 - 8t + 16 = 0

1 answer:

sweet-ann [11.9K]2 years ago

3 0

T=-4

Hope this help…

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Carla is a waitress at Daybreak Diner and she earns $5 for each hour she works. Last week she earned 148 total including $68 tip

Zigmanuir [339]

Answer: 16 hours

Step-by-step explanation:

Given

Carla earns $\$5$ for each hour she works

Last week she earned $148 total including $\$68$ tip

So, the sum of hourly income and must be equal to the total money earned

Suppose she works for $x$ hours

$\Rightarrow 5x+68=148$

$\Rightarrow 5x=148-68\\\Rightarrow 5x=80\\\Rightarrow x=16\ \text{hours}$

Thus, she works 16 hours last week

5 0

3 years ago

A friend asked you to borrow $250 and agrees to repay it with 4% interest how much interest will you earn after eight months

andrew11 [14]

Answer:

I believe in the question it only states 4% interest without any time factor so therefore it would be $10 interest for 1 month or 8 months

Is this a trick question?

Step-by-step explanation:

3 0

3 years ago

Please help! I’ll give you brainliest immediately

kodGreya [7K]

For the lines to be parallel the two angles need to be equal to each other:

128-x = x

Add 1x to both sides

128 = 2x

Divide both sides by 2:

X = 128/2

X = 64

Answer: x = 64

3 0

3 years ago

Simultaneous equations 5x+y=28 x+y=2

ludmilkaskok [199]

Answer:

<h2> $( \frac{13}{2} \:, - \frac{9}{2} )$ </h2>

Step-by-step explanation:

$5x + y = 28$

$x + y = 8$

Solve the equation for y by moving 'x' to R.H.S and changing its sign

$5x + y = 28$

$y = 2 - x$

Substitute the given value of y into the equation 5x + y = 28

$5x + 2 - x = 28$

Solve the equation for x

Collect like terms

$4x + 2 = 28$

Move constant to R.H.S and change its sign

$4x = 28 - 2$

Subtract the numbers

$4x = 26$

Divide both sides of the equation by 4

$\frac{4x}{4} = \frac{26}{4}$

Calculate

$x = \frac{26}{4}$

Reduce the numbers with 2

$x = \frac{13}{2}$

Now, substitute the given value of x into the equation y = 2 - x

$y = 2 - \frac{13}{2}$

Solve the equation for y

$y = - \frac{9}{2}$

The possible solution of the system is the ordered pair ( x , y )

<h2> $(x \: y) = ( \frac{13}{2} , \: - \frac{9}{2} )$ </h2>

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

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

$5 \times \frac{13}{2} - \frac{9}{2} = 28$

$\frac{13}{2} - \frac{9}{2} = 2$

Simplify the equalities

$28 = 28$

$2 = 2$

Since , all of the equalities are true, the ordered pair is the solution of the system.

$(x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2})$

Hope this helps....

Best regards!!

5 0

3 years ago

Read 2 more answers

Can someone help me with this

mash [69]

The center of the circle is (h,k) = (-2,-3)

The radius of the circle is r = 2

The standard form of equation of the circle is

${(x + 2)}^{2} + {(y + 3)}^{2} = 4$

<h3>How to find the center, radius and standrad form of the circle?</h3>

The general form of equation of the circle is

${(x - h)}^{2} + {(y - k)}^{2} = {r}^{2}$

Here, (h,k) means centre of the circle.

r means radius of the circle.

given that coordinate points of centre of circle is (-2,-3).

Hence the (h,k) = (-2,-3)

<h3>How to find the radius of the circle?</h3>

Now to find the radius of the circle

The distance from a circle's centre to its circumference is its radius.

The distance from a circle's centre (-2,-3) to its circumference (0,-3) is its radius.

using the formula, distance between the two points to obtain radius.

$d = \sqrt{(x1 - x2) {}^{2} + {(y1 - y2)}^{2} } \\ r = \sqrt{ {( - 2 - 0)}^{2} + {( - 3 - ( - 3))}^{2} } \\ r = \sqrt{ {( - 2)}^{2} + {( - 3 + 3)}^{2} } \\ r = \sqrt{ {4}^{2} + 0 } \\ r = \sqrt{4} \\ r = 2$

<h3>How to find the standard form of equation of the circle?</h3>

(h,k) = (-2,-3)

r = 2

subtitue the (h,k) and r values to get the standard form of equation of the circle.

$(x - h) {}^{2} + {(y - k)}^{2} = {r}^{2}$

${(x - ( - 2))}^{2} + {(y - ( - 3))}^{2} = {r}^{2}$

${(x + 2)}^{2} + {(y + 3)}^{2} = 4$

Learn more about circle, refer:

brainly.com/question/24810873

#SPJ9

5 0

1 year ago