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Given f(x)=2x and g(x)=x2+3, find (g°f)(-3)

Tomtit [17]

Answer:

See attached image

Step-by-step explanation:

See attached image

4 0

1 year ago

Part A is asking how long the bridge is and Part B is asking how expensive it would be if each foot it 1500

katrin [286]

Answer:

(a)80 feet

(b)$120,000

Step-by-step explanation:

<u>Intersecting Secant-Tangent Theorem</u>

If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

In the attached diagram, the theorem applied is:

$|AX|^2=|UX|*|TX|$

Comparing with our diagram:

|AX|=30 feet

|UX|=10 feet

Length of the Bridge,L

Therefore:

$30^2=10 X ($Length of the Bridge+10)$

900=10(L+10)

L+10=900/10

L+10=90

L=90-10=80 feet

Length of the Bridge=80 feet

If each foot costs $1500

Cost of the bridge=$1500*80=$120,000

4 0

2 years ago

Mr. Donegan makes 95 copies of a "spooky math practice worksheet. In class, he realizes he needs 3 more copies. Mr. Neddick make

Marrrta [24]

Answer:

5

Step-by-step explanation:

95+8=103

95+3=98

103-98=5

7 0

3 years ago

The crime rate of a certain city is increasing by exactly 6% each year. If there were 550

kap26 [50]

Using an exponential function, it is found that the approximate number of crimes in the year of 2016 was of 2502.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem, there were 550 crimes in the initial year observed, and the growth rate is of 6%, hence the parameters are A(0) = 550, r = 0.06, and the equation is given by:

$A(t) = A(0)(1 + r)^t$

$A(t) = 550(1 + 0.06)^t$

$A(t) = 550(1.06)^t$

2016 is 26 years after 1990, hence:

$A(26) = 550(1.06)^{26} \approx 2502$

The approximate number of crimes in the year of 2016 was of 2502.

More can be learned about exponential functions at brainly.com/question/25537936

8 0

2 years ago

What is the correlation coefficient for the model that predicts the list price of all homes using population as an explanatory v

denis23 [38]

Here, we are concerned about two variables from the above data set, namely, Condo or co-ops and the Unemployment rate. We use the CORREL function of Excel to calculate the correlation coefficient rate and it is = R = -0.01873.

A Weak (negative) correlation exists between the list price of condominiums and co-ops and the unemployment rate.

The correlation coefficient is a statistical measure of the strength of the connection between the relative actions of two variables. The values varied between -1.0 and 1. zero. A calculated wide variety greater than 1. zero or less than -1.zero means that there was an error within the correlation size.

The correlation coefficient is decided with the aid of dividing the covariance by way of the product of the 2 variables' popular deviations.

Correlation values above 0. eight are deemed to signify a strong tremendous linear courting between the variables. Values among zero and 0. three imply a vulnerable relationship or none.

Learn more about correlation coefficient here brainly.com/question/4219149

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6 0

1 year ago