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4 years ago

What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?

Mathematics

1 answer:

agasfer [191]4 years ago

7 0

Answer:

(0,5)

Step-by-step explanation:

If you plug in 0 in all the variables of x, f(x)=0+0+5

We know that f(x) is y...so y=5, while x=0

You might be interested in

56 times a number minus 13 is equal to 6 less than the number.

Elena L [17]

Answer:

The equation is 56x - 13 = x - 6

Step-by-step explanation:

Let's say our 'number' is x. If it says it's 56 times our number, it's 56x. Minus 13, which is 56x - 13. If it is equal than 6 less than the number, then it is x - 6.

So the equation is 56x - 13 = x - 6

7 0

3 years ago

A federal report found that a lie detector test given to someone telling the truth will suggest that they lied in about 20% of c

aleksley [76]

Answer:

$0.055$

Step-by-step explanation:

Let $p$ be the probability of lying an applicant, so, $p=20 \%$ .

$\Rightarrow p=\frac {20}{100}=\frac {1}{5}\;\cdots (i)$

Any applicant will either lie or will tell the truth.

Let $q$ be the probability of telling the truth, so, $q= 1-\frac {1}{5}$

$\Rightarrow q=\frac {4}{5}$

As for every applicant $p+q=1$ , so this is Bernoullies trials, for which

the probability of success of exactly $x$ times of an event out of $n$ trials is $P(x)=\binom {n}{x} p^xq^{n-x}\; \cdots (iii)$ .

Now, let $E$ be the event of at least one of the applicants is lying out of $11$ applicants, here the total number of applicants, $n=11$ .

So, $P(E)= P(x=1)+ P(x=2)+\cdots+ P(x=11)$

This is equivalent to

$P(E)=1-P(x=0)$ as $[P(x=0)+P(x=1)+ P(x=2)+\cdots+ P(x=11)=1]$

Now, from equation (iii),

$P(E)=1-\binom {11}{0} p^0q^{11-0}$

$\Rightarrow P(E)=1-11\left(\frac {1}{5}\right)^0\left(\frac {4}{5}\right)^{11}$ [from equations s (i) and (ii)]

$\Rightarrow P(E)=1-11\times 1 \times \left(\frac {4}{5}\right)^{11}$

$\Rightarrow P(E)=1-0.945$ (approx)

$\Rightarrow P(E)=0.055$

Hence, the probability that the lie detector indicates that at least one of the applicants is lying is $0.055.$

7 0

3 years ago

Please show work in answer: 20/x^2-4x+7=x+2

Lynna [10]

Answer:

x = 2

Step-by-step explanation:

7 0

3 years ago

V= u + at U=1 T= 1/2 a=-3 Work out the value of v.

svetoff [14.1K]

1 + -3 1/2 is = to -2.5 so v= -2.5

3 0

2 years ago

Read 2 more answers

What is the area of the triangle shown below

kykrilka [37]

Answer: 60

Step-by-step explanation:

Using Heron's formula, we know that

Step 1: Calculate "s" (half of the triangles perimeter):

s = (a+b+c)/2

Step 2: Then calculate the Area:

Herons formula A = sqrt( s(s-a)(s-b)(s-c) )

So S = 36/2 = 18

so $\sqrt{18(18-13)(18-13)(18-10)}$

So our final answer is the square root of 3600, which equals 60.

5 0

3 years ago