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3 years ago

Which statement is true regarding the graphed functions?

Mathematics

1 answer:

just olya [345]3 years ago

6 0

ANSWER

$f(0) = g(0)$

EXPLANATION

From the graph we

$g(0) = - 2$

because this is where the line x= 0 meets the graph of g(x).

Also

$f(0) = - 2$

because this is where the line x= 0 meets the graph of f(x).

This implies that,

$f(0) = g(0)$

The correct choice is A.

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3. A person standing 3 feet away from the base of a lamp post casts a shadow 4 feet long. If the person is 6 feet tall and walks

german

Answer:

533.33 ft/min

Step-by-step explanation:

We are given that

x=3 feet

y=4 feet

Height of person,h=6 feet

$\frac{dx}{dt}=400 ft/min$

Triangle ABC and A'B'C are similar because all right triangles are similar

By using similarity property

$\frac{h'}{6}=\frac{7}{4}$

$h'=10.5 feet$

$x+y=3+4=7 feet$

$\frac{h'}{6}=\frac{x+y}{y}$

$\frac{10.5}{6}=\frac{x+y}{y}$

$10.5y=6x+6y$

$10.5y-6y=6x$

$4.5y=6x$

Differentiate w.r.t t

$4.5\frac{dy}{dt}=6\frac{dx}{dt}$

$\frac{dy}{dt}=\frac{6\times 400}{4.5}ft/min$

$\frac{dy}{dt}=533.33ft/min$

Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min

7 0

3 years ago

A piece of string is 5 5/8 inches long. How much should Lena cut off to make it 3 1/2 inches long?

solong [7]

Answer:

2 1/8 inches

Step-by-step explanation:

First, we make the fractions into improper fractions:

5 5/8 = 45/8

3 1/2 = 7/2

Now we make them to have the same denominator

7/2 = 28/8

Now we substract

45/8 - 28/8 = 17/8

17/8 = 2 1/8 inches

4 0

4 years ago

Read 2 more answers

The ratio of blue to red chairs in mrs Vick’s class is 2:5 what is the total number of chairs in her class

vodka [1.7K]

Answer:

Step-by-step explanation:

If there are 2 blue chairs and 5 red chairs there are 7 chairs total.

6 0

3 years ago

Un vendedor de celulaes tiene una meta diaria de venta si al momento lleva el Q.2,000.00 de la meta que equivale el 20%

astra-53 [7]

Answer:

Sales goal, S = Q. 10,000

Step-by-step explanation:

Let the daily sales goal be S.

Given the following data;

Amount sold = Q. 2,000.00
Percentage of the sales goal = 20%

To find his daily sales goal;

$\frac {20}{100} * S = 2000$

$0.2 * S = 2000$

Dividing both sides by 0.2, we have;

$S = \frac {2000}{0.2}$

Sales goal, S = Q. 10,000

6 0

3 years ago

I need some one to help me!! Is (7, 0) a solution to the equation y = x − 7?

Marianna [84]

Answer:

Yes

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Coordinates (x, y)

Step-by-step explanation:

Step 1: Define

Identify

Point (7, 0)

Equation y = x - 7

Step 2: Find

Substitute in point [Equation]: 0 = 7 - 7
Subtract: 0 = 0

Since 0 = 0 is true, then it would be a solution to the equation.

3 0

3 years ago