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2 years ago

for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

4 0

Answer:

a = -2 or a = -5

Step-by-step explanation:

We want $f(a) = a^2 + 7a + 12 = 2$ . We can subtract 2 from both sides of this equation to get $a^2+7a+10=0$ . We can factor this to get that $(a+2)(a+5)=0$ . When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.

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Find the sum of 3 - 7i and 8 + 4i.

elixir [45]

Thanks for your equation!

This problem seems tricky, but is pretty simple.

All we have to do is add:

3 - 7i + 8 + 4i

And combine like terms:

-3i + 11

Hope this helps!

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2 years ago

Read 2 more answers

Of the 10,000 participants in the Cooper Run/Walk, 42% were runners and one-third of the runners were female. Sally, a female ru

Aleks [24]

Answer: 140 female runners

Step-by-step explanation:

First find out the number of runners:

= 42% * 10,000

= 4,200 runners

Then find out the number of female runners:

= 4,200 * 1/3

= 1,400 female runners

Sally finished faster than 90% of the female runners which means that 10% finished faster or at the same time as her.

= 10% * 1,400

= 140 female runners

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2 years ago

If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 477 viruses would d

melisa1 [442]

Answer:

0.01596

Step-by-step explanation:

A scientist claims that 8% of the viruses are airborne

Given that:

The population proportion p = 8%

The sample size = 477

We can calculate the standard deviation of the population proportion by using the formula:

$\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}$

$\sigma_p = \sqrt{\dfrac{0.8(1-0.8)}{477}}$

$\sigma_p = \sqrt{\dfrac{0.0736}{477}}$

$\sigma_p = 0.02098$

The required probability can be calculated as:

$P(| \hat p - p| > 0.03) = P(\hat p - p< -0.03 \ or \ \hat p - p > 0.03)$

$= P \bigg ( \dfrac{\hat p -p }{\sqrt{\dfrac{p(1-p)}{n}}} < -\dfrac{0.03}{0.0124} \bigg ) + P \bigg ( \dfrac{\hat p -p }{\sqrt{\dfrac{p(1-p)}{n}}} >\dfrac{0.03}{0.0124} \bigg )$

= P(Z < -2.41) + P(Z > 2.41)

= P(Z < -2.41) + P(Z < -2.41)

= 2P( Z< - 2.41)

From the Z-tables;

$P(| \hat p - p| > 0.03)$ = 2 ( 0.00798

$P(| \hat p - p| > 0.03)$ = 0.01596

Thus, the required probability = 0.01596

3 0

3 years ago

Can someone plz help?

lilavasa [31]

Answer:

Step-by-step explanation:

If we were to apply triangle formula ; 1/2 * base * height, we would see that length of height ⇒ 10 inches, and length of base ⇒ x inches,

Given an Area of 60 square inches let us substitute into the formula 1/2 * base * height and solve for x;

Area of Triangle = 1/2 * base * height,

60 in^2 = 1/2 * x in * 10 in ⇒ take 1/2 * 10,

60 in^2 = 5 in * x in ⇒ divide either side by 5 in,

12 in = x in ⇒ divide either side by inches,

x = 12 inches,

<em>Solution; x = 12 in</em>

5 0

3 years ago

What is 5.16 x 10 exponent 2

sergejj [24]

Answer:

516

Step-by-step explanation:

8 0

3 years ago

for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?​

for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?