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3 years ago

F(x) = -4x2 + 19 Find f(-7)

Mathematics

1 answer:

faust18 [17]3 years ago

7 0

Step-by-step explanation:

Solution,

f(x) = -4x2 + 19

f(x)=-8+19

f(x)=27

As it is a constant function, therefore

f(-7)=27

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Solve the equation <br> 4b + 22 = 5(b + 4) − 1

djverab [1.8K]

4b + 22 = 5 (b + 4) - 1 (remove the parantheses)

4b + 22 = 5b + 20 - 1 (calculate)

4b + 22 = 5b + 19 (move the terms)

4b - 5b = 19 - 22 (collect like terms and calculate)

-b = -3 (change the signs)

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3 years ago

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Write the statement as an algebraic expression.

Firdavs [7]

Answer:

$(c^{2}+d)+2(cd)$

Step-by-step explanation:

we know that

The algebraic expression of the phrase " The sum of square of c and d" is equal to adds the square of number c to the number d

$(c^{2}+d)$

The algebraic expression of the phrase " The sum of square of c and d increased by twice their product" is equal to

$(c^{2}+d)+2(cd)$

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3 years ago

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Which expression can be simplified to find the slope of the trend line in the scatterplot? On a coordinate plane, a line goes th

Goryan [66]

Answer:

(A) $\dfrac{24-79}{12-2}$

Step-by-step explanation:

Given the trend line which goes through (2, 79) and (12, 24).

$Slope, m=\dfrac{y_2-y_1}{x_2-x_1} \\x_1=2, y_1=79,x_2=12, y_2=24\\$Therefore$:\\\\m=\dfrac{24-79}{12-2}$

The equation which can be simplified to find the slope of the trend line in the scatterplot is $\dfrac{24-79}{12-2}$

The correct option is A.

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3 years ago

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El equipo mixto de fútbol tiene cuatro veces más niños que niñas. Decimos quela razón del número de niños

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Answer:

4 a 1

Step-by-step explanation:

Se lee "4 a 1"

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3 years ago

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A research team conducted a study showing that approximately 25% of all businessmen who wear ties wear them so tightly that they

Sonbull [250]

Answer:A) 0.9866

Step-by-step explanation:

Probability of at least one tie is too tight is

Probability of tight tie 25/100

Probability of not a tight tie is 1-25/100=3/4

=1-(3/4)^15=0.9866

B)0.764

C)0.013

D)0.236

Method 2

This is binomial probability.

n=15 (number of businessmen

p=.25 (probability that a businessman wears the tie so tightly

x = number of businessmen out of 15 who wears the tie so tightly

P( at least 1) = P( x >= 1) = 1-P(x=0)

P(x=0) = 15C0 (.25)^0 (.75)^(15-0) = (0.75)^15 = 0.013363

P( at least 1) = 1- 0.013363 = 0.9866

P(more than 2) = P( x > 2) = 1-P( x=0)-P(x=1)-P(x=2)

P(x=0) = 15C0 (.25)^0 (.75)^(15-0) = (0.75)^15 = 0.013363

P(x=1) = 15C1 (.25)^1 (.75)^14 = 0.066817

P(x=2) = 15C2 (.25)^2 (.75)^13 = 0.155907

1-P( x=0)-P(x=1)-P(x=2) = 1 - 0.013363 - 0.066817 - 0.155907 = 0.763912

P(x=0) = 15C0 (.25)^0 (.75)^(15-0) = (0.75)^15 = 0.013363

P( at least 13) = P(x=13)+P(x=14)+P(x=15)

P(x=13)= 15C13 (.25)^13 (.75)^2 = 0.000001

P(x=14)= 15C14 (.25)^14 (.75)^1 = 0.000000

P(x=15)= 15C15 (.25)^15 (.75)^0 = 0.000000

P(x=13)+P(x=14)+P(x=15) = .000001+.000000+.000000 = 0.000001

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4 years ago

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