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3 years ago

Answer with solutions thank you

Mathematics

1 answer:

Eduardwww [97]3 years ago

8 0

Answer:

${ \tt{ \frac{8}{ {b}^{2} - 4} . \frac{b - 2}{2b + 4} \div \frac{4}{2 {(b + 2)}^{2} } }} \\ \\ = { \tt{ \frac{8}{(b - 2)(b + 2)} \times \frac{b - 2}{2b + 4} \div \frac{4}{2 {(b + 2)}^{2} } }} \\ \\ = { \tt{ \frac{8}{b + 2} \times \frac{1}{2b + 4} \times \frac{2(b + 2) {}^{2} }{4} }} \\ \\ = { \tt{ \frac{8}{2b + 4} \times \frac{2b + 4}{4} }} \\ \\ = { \tt{ \frac{8}{4} }} \\ \\ = { \underline{ \tt{ \: 2 \: }}}$

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The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)

Savatey [412]

Answer:

$a\cdot b\cdot c=\frac{15}{4}$

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

$y-k=a(x-h)^2$

Substitute the values

$y-(-2)=a(x-(-3))^2=a(x+3)^2$

$y+2=a(x+3)^2$

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

$0+2=a(-1+3)^2=4a$

$a=2/4=1/2$

Now, using the value of a

$y+2=1/2(x+3)^2=1/2(x^2+6x+9)$

$y+2=\frac{1}{2}x^2+3x+\frac{9}{2}$

$y=\frac{1}{2}x^2+3x+\frac{9}{2}-2$

$y=\frac{1}{2}x^2+3x+\frac{9-4}{2}$

$y=\frac{1}{2}x^2+3x+\frac{5}{2}$

By comparing with

$y=ax^2+bx+c$

We get

$a=\frac{1}{2}, b=3, c=5/2$

$a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}$

$a\cdot b\cdot c=\frac{15}{4}$

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2 years ago

klasskru [66]

Answer:

2. y - 2 = -1/6(x + 10)

3. y - 1 = -1/6(x + 4)

5. y = -1/6x + 1/3

Step-by-step explanation:

hope this helps!

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1 year ago

Consider the gender and class make-up of students at a large university by gender and status as given in the table.

azamat

Answer:

0.589

Step-by-step explanation:

THis is a conditional probability question. Let's look at the formula first:

P (A | B) = P(A∩B)/P(B)

" | " means "given that".

So, it means, the "Probabilty A given that B is equal to Probability A intersection B divided by probability of B."

So we want to know P (Female | Undergraduate ). This in formula is:

P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)

Now,

P (Female ∩ Undergraduate) means what is common in both female and undergraduate? There are 43% female that are undergrads. Hence,

P (Female ∩ Undergraduate) = 0.43

Also,

P (Undergraduate) is how many undergrads are there? There are 73% undergrads, so that is P (undergraduate) = 0.73

plugging into the formula we get:

P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)

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this is the answer.

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Answer:

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Step-by-step explanation:

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