All categories

3 years ago

Form quadratic functions given the following information: Zeroes at 4 and –2, f(0)=4

Mathematics

1 answer:

laila [671]3 years ago

5 0

Answer:

$f(x)=-0.5x^2+x+4$

Step-by-step explanation:

we know that

A quadratic function in factored form is equal to

$f(x)=a(x-x_1)(x-x_2)$

where

a is the leading coefficient

x_1 and x_2 are the zeroes of the function

substitute the given values

$f(x)=a(x-4)(x+2)$

Find the value of a

Remember that

For x=0 ----> f(0)=4

substitute

$4=a(0-4)(0+2)$

$4=a(-8)\\a=-0.5$

$f(x)=-0.5(x-4)(x+2)$

$f(x)=-0.5(x^2+2x-4x-8)$

$f(x)=-0.5(x^2-2x-8)$

$f(x)=-0.5x^2+x+4$

You might be interested in

Help:<br> Expand -5(3n+2p+q)

S_A_V [24]

Hi!
The answer is -15n-10p-5q

5 0

3 years ago

It is desired to draw blood 3 cm up a capillary tube. Assuming a contact angle of 0 degrees and a blood density of 1060 kg/m3, w

JulijaS [17]

Answer:

If we assume a temperature of 20ºc and the blood interfacial surface tension is similar to water interfacial surface tension, the diameter of the capillary tube should be 0.933mm.

Step-by-step explanation:

The Jurin law describes the height a fluid can reach in a capillary tube. This law can be written as:

$H=\displaystyle\frac{2\gamma cos(\theta)}{\rho gr}$

where γ is the interfacial surface tension, θ is the contact angle with the fluid, ρ is the fluid density, g is the gravity acceleration and r is the tube radius.

If we assume that the interfacial surface tension of blood and water are almost the same, γ=0,0728 N/m at 20ºc. Therefore the diameter of the tube will be:

$D=2r=\displaystyle\frac{4\gamma cos(\theta)}{\rho gH}=0.933\cdot 10^{-3}m$

4 0

3 years ago

Complete the square to transform the expression x^2+4x 2 into the form a(x − h)2 + k.

faust18 [17]

Answer:

$(x+2)^2-2$

Step-by-step explanation:

we have the expression

$x^2+4x+2$

Convert to vertex form

$a(x-h)^2+k$

where

a is the leading coefficient

(h,k) is the vertex

Complete the square

$(x^2+4x+2^2)+2-2^2$

$(x^2+4x+2^2)-2$

Rewrite as perfect squares

$(x+2)^2-2$

The coefficient a =1

The vertex is the point (-2,-2)

4 0

3 years ago

Atmospheric pressure at Earth's surface is approximately 14.7 pounds per square inch. Atmospheric pressure decreases by approxim

chubhunter [2.5K]

Answer:

The standard, or near-average, atmospheric pressure at sea level on the Earth is 1013.25 millibars, or about 14.7 pounds per square inch.

The gauge pressure in my automobile tires is a little more than twice that value. If you live at a higher altitude, the pressure will be lower since there is less air above weighing down upon you. The pressure also varies by relatively small amounts as high and low pressure systems move past.

Step-by-step explanation:

3 0

3 years ago

1.22 on a candy bar, $1.48 on yogurt, $7.98 on a pizza, and $2.79 on bread. If she pays with a $20 bill, how much change will sh

serious [3.7K]

Answer:

She'll receive $6.53.

Step-by-step explanation:

First add everything she purcahsed.

1.22 + 1.48 + 7.98 + 2.79 = 13.47

Then subtract that from how much she paid.

20 - 13.47 = 6.53

So 6 dollars and 53 cents.

7 0

3 years ago

Read 2 more answers