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3 years ago

Factor the expression on the left. * x2 - 100 = 0

Mathematics

2 answers:

statuscvo [17]3 years ago

7 0

Answer:

(x - 10)(x + 10)

Step-by-step explanation:

x² - 100 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Thus

x² - 100

= x² - 10² = (x - 10)(x + 10)

hichkok12 [17]3 years ago

4 0

Answer:

cbsdhcbsufbufbubsdubsusfsdfsdfsd

Step-by-step explanation:

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A group of friends count the coins they have in their pockets.

Len [333]

Answer:

The median stays the same, whilst the mean drops.

Step-by-step explanation:

4 0

2 years ago

If each pie serves 6 people and there were 22 people at dinner, how many pies exactly, (like a decimal), would feed them?

natulia [17]

22/6=03.666

the answers 03.666

6 0

3 years ago

A high school class consists of 5 seniors, 10 juniors, 13 sophomores, and 4 freshmen. Exactly 4 of the juniors are male, and

lozanna [386]

Answer:

The probability that the pair consists of a female junior and a male sophomore is 0.096

Step-by-step explanation:

No of male juniors=4

No of female juniors=10-4=6

No of female sophomores=5

No of male sophomores=13-5=8

As per question,

Probability that the pair consists of a female junior and

a male sophomore = $\frac{6C1\times8C1}{32C2}$ =0.096

Therefore, the probability that the pair consists of a female junior and a male sophomore is 0.096

7 0

3 years ago

Solve the inequality. Graph the solution. Describe the graph in the area provided. Be sure to indicate where there is an open or

natka813 [3]

Step-by-step explanation:

The given inequality is :

$-27\ge \dfrac{1}{2}(6x-12)$

Solving RHS of the inequality:

$-27\ge \dfrac{1}{2}\times 2(3x-6)\\\\-27\ge (3x-6)$

Adding 6 both sides of the inequality

$-27+6\ge (3x-6)+6\\\\-21\ge 3x\\\\x\le -7$

The attached figure shows the graph for the given inequality.

7 0

3 years ago

On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/

den301095 [7]

Answer:

3.08 km/h.

Step-by-step explanation:

We know that,

$Speed=\dfrac{Distance}{Time}$

Ali traveled at a speed of s km/h for 2.5 hours.

Let d be the distance and t be the time.

$2.5=\dfrac{d}{t}$

$2.5t=d$ ...(1)

On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.

$4=\dfrac{d}{t-15}$

$4(t-15)=d$ ...(2)

From (1) and (2), we get

$4(t-15)=2.5t$

$4t-60-2.5t=0$

$1.5t=60$

$t=40$

Put t=40 in (1).

$d=2.5(40)=100$

So, t=40 and d=100.

Now,

Total distance = d + d = 100 + 100 = 200

Total time = t + t - 15 = 40 + 40 - 15 = 65

So, the average speed is

$\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}$

$\text{Average speed}=\dfrac{200}{65}$

$\text{Average speed}\approx 3.08$

Therefore, the average speed is 3.08 km/h.

3 0

3 years ago