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2 years ago

Given the quadratic equation below, determine which situation it could represent. x^2-4x=60

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

5 0

Answer:

C. In a meeting room for a business event, there are 4 fewer chairs laid out in each row than the number of rows. The total number of chairs in the room is 60.

Step-by-step explanation:

To find the total number of chars, we multiply the number of rows by the number of chairs in each row.

Let the number of rows be x. There are 4 fewer chairs in each row than the number of rows; this gives us (x-4). Together, this gives us

x(x-4).

We know there are 60 chairs; this gives us

x(x-4) = 60

Using the distributive property,

x(x)-4(x) = 60

x²-4x = 60

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On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

2 years ago

Read 2 more answers

Thomas needed a load. he borrowed 24,000$ from the bank at a rate of 8.25% of simple interest for 36 months. what was the total

spayn [35]

Step-by-step explanation:

principal= 24000$

rate=8.25%

time=36months=3years

now,

simple interest =PTR/100

=24000×8.25×3/100

=594000/100

=5940

so,

amount=simple interest +principal

=5940+24000

=29940$

he had to pay back 29940$

hope it could help

5 0

2 years ago

4x/x-5 - 3/x-6 simplify

blagie [28]

Answer

-3

Step-by-step explanation:

x=4

4-5=-1

x=3

3-6=-2

-1+-2=-3

7 0

2 years ago

Read 2 more answers

Question

AlekseyPX

Answer:

The population mean is 5 volts

Step-by-step explanation:

Output voltage is assumed to be normally distributed, with standard deviation 0.25 Volts

s=0.25

n = 8

$H_0:\mu = 5\\H_a:\mu \neq 5$

Sample mean = $\bar{x}=4.85$

Since n < 30 and population standard deviation is unknown

So, we will use t test

Formula : $t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{4.85-5}{\frac{0.25}{\sqrt{8}}}$

t=-1.69

Refer the t table for p value

Degree of freedom = n-1 = 8-1 = 7

So, $t_{(df,\alpha)}=t_{7,0.05}=2.365$

P value >α

So, We are failed to reject null hypothesis

Hence The population mean is 5 volts

7 0

3 years ago

Help please, I’m timed.

Nadya [2.5K]

Answer:

Final answer is A. $P(A^c)=\frac{4}{7}$

Step-by-step explanation:

From table we see that there are 7 places in the list.

Event A = The place is city.

Then $A^c$ indicates the place is NOT city.

From table we see that there are 4 names "India, Peru, Canada, Mexico" which are not city.

Hence probability that the chosen place is not city is given by:

$P(A^c)=\frac{4}{7}$

Hence final answer is A. $P(A^c)=\frac{4}{7}$

4 0

3 years ago