To the nearest foot, how long is Pennsylvania Ave. between 19th St. and 18th St? (Hint: The 425 ft on the map above represents the length of Pennsylvania Ave. between 20th St. and 19th St.)

Answers

Answer 1

Answer: 425 would be the answer

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What number should both sides of the following equation be divided by to solve for x?(6.4)x = 32 4 6.4 6 5

Classify the number -1/3.

Answers

Answer:

Step-by-step explanation:

This number is real, negative and rational.

Which is a linear equation?

Answers

Answer:

Step-by-step explanation:

eq of first degree is a linear equation.

y=x+1

The sum of a number and twice is square is 36.find the numbers?

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$x+2x^2=36\n2x^2+x-36=0\n2x^2+9x-8x-36=0\n x(2x+9)-4(2x+9)=0\n(x-4)(2x+9)=0\nx=4 \vee x=-(9)/(2)$

Given the function f(x)=-2x-1 and g(x)=-3x 4 which operation results in the smallest coefficient on the x term?a. two operations result in the same coefficient
b. subtraction
c. multiplication
d. addition

Answers

Answer:

Option (a) is correct.

The smallest coefficient on x - terms will be obtained by addition and multiplication of two given functions.

Step-by-step explanation:

Given: The function $f(x)=-2x-1$ and $g(x)=-3x+4$

We have to find the operation from the given options that results in the smallest coefficient on the x term .

Consider the given function $f(x)=-2x-1$ and $g(x)=-3x+4$

b) Subtraction

That is f(x) - g(x)

$f(x) -g(x)=-2x-1-(-3x+4)$

Apply plus - minus rule -(-a) = a , we have,

$f(x)-g(x)=-2x-1+3x-4$

$f(x)+g(x)=x-5$

Here, The coefficient of x is 1.

c) Multiplication

That is $f(x)\cdot g(x)=(-2x-1)\cdot (-3x+4)$

$\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd$

$=\left(-2x\right)\left(-3x\right)+\left(-2x\right)\cdot \:4+\left(-1\right)\left(-3x\right)+\left(-1\right)\cdot \:4$

Simplify, we have,

$=6x^2-5x-4$

Here, The coefficient of x is -5.

d) Addition

That is f(x) + g(x)

$f(x)+g(x)=-2x-1+(-3x+4)$

Simplify, we have,

$f(x)+g(x)=-2x-1-3x+4$

$f(x)+g(x)=-5x+3$

Here, The coefficient of x is -5.

a) two operations result in the same coefficient.

When we add or multiply the two given function, we obtain the same coefficient of x that is -5

Hence, The smallest coefficient on x - terms will be obtained by addition and multiplication of two given functions.

Answer:

a. two operations result in the same coefficient

Step-by-step explanation:

Here, the given functions,

f(x) = -2x - 1,

g(x) = -3x + 4,

Subtracting,

Case 1 : f(x) - g(x)

-2x - 1 + 3x - 4 = x - 5

Case 2 : g(x) - f(x)

3x - 4 + 2x + 1 = 5x - 3

Coefficient of x = 1 or 5

Multiplication :

f(x)* g(x) = (-2x - 1) (-3x + 4) = 6x² - 8x + 3x - 4 = 6x² - 5x - 4

Coefficient of x = -5

Addition :

f(x) + g(x) = -2x - 1 - 3x + 4 = -5x + 3

Coefficient of x = -5

Thus, the least coefficient of x = -5

And, two operation ( multiplication and addition ) operations result in the same coefficient

OPTION a is correct.

0.3 to the power 2 times 0.3 to the power of 5

Answers

Answer:

0.000219

Step-by-step explanation:

Use Product Rule: xª+x^b=x^a+b (^ means to the power)

0.3²+⁵=0.3⁷

2 Simplify.

0.000219

Solve the polynomial equation x3 + 7x2 − 16x −112 = 0 and select the correct answer below.

Answers

x^3 + 7*x^2 + -16*x-112
=(x + 4)*(x + 7)*(x - 4)

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