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2 years ago

Tony gets paid $5 per hour to babysit his cousin. This

Mathematics

1 answer:

Kaylis [27]2 years ago

8 0

<em>Answer:</em>

<em>Step-by-step explanation:</em>

lets substitute 5 into every equation. (using 5 every time won't work every time ofc)

ok so 5(x+6)=55 would simplify into <em>5x+30=55</em> which in this case would be <em>5(5)+30=55 </em>

and 25 plus 30 (obviously) = 55

so A is the right answer

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Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

$\frac{2}{3} = a * b^2$ --- (1)

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

7 0

3 years ago

Can somebody plz help me with these two and explan why the answers are correct

aliina [53]

Answer:

it doesnt want to load for me im sorry :(

Step-by-step explanation:

6 0

3 years ago

Evaluate 7C3. 35 210 21 105

nydimaria [60]

$\bf _nC_r=\cfrac{n!}{r!(n-r)!}\qquad \qquad \qquad \qquad \qquad _7C_3=\cfrac{7!}{3!(7-3)!} \\\\\\ \textit{use the }[!]\textit{ factorial button or the }[_nC_r]\textit{ button in your calculator}$

8 0

3 years ago

A store was selling lawn mowers for $69. The repair

Natali5045456 [20]

Answer:

$84.87

Step-by-step explanation:

The mover costs $69

23% of 69 is $15.87

add the two together to get $84.87

(or just multiply 69 by 1.23)

5 0

3 years ago

Read 2 more answers

The table shows some

valentinak56 [21]

Answer:

<u>For 1 quart of orange juice:</u>

Calories = 448

Vitamin C = 387.6 mg

Carbohydrates = 107.56 mg

Step-by-step explanation:

The following information is given about 1 CUP of orange juice:

<h2>Calories</h2><h3>112</h3><h2>Vitamin C</h2><h3>96.9 mg</h3><h2>Carbohydrates</h2><h3>26.89 mg</h3>

Now, we have to estimate the 3 values for 1 quart of orange juice. Remember, 4 cups is 1 quart, so we need to multiply each value by 4 to get the values for 1 quart.

Calories = 112 * 4 = 448

Vitamin C = 96.9 * 4 = 387.6 mg

Carbohydrates = 26.89 * 4 = 107.56 mg

6 0

2 years ago