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3 years ago

Fiona divided 3x2+5x-3 by 3x+2. The expression represents the remainder over the divisor.

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

4 0

Answer:

-5

Step-by-step explanation:

Shown in the attachment.

The remainder when 3x^2 +5x -3 is divided by 3x+2 is -5

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In 2004 the population in Morganton, Georgia, was 43,000. The population in Morganton doubled by 2010. If the growth rate remain

zheka24 [161]

Answer:

263,606.9

Step-by-step explanation:

In 2004 the population in Morganton, Georgia, was 43,000.

(0, 43000)

The population in Morganton doubled by 2010

In 6 years the population is doubled (86000)

(6,86000)

$A= a(b)^t$

Use (0,43000) in the above equation

$A= a(b)^t\\43000= a(b)^0\\a=43000$

Now plug in (6,86000)

$A= a(b)^t\\A= 43000(b)^t\\86000=43000(b)^6\\2=b^6\\b=\sqrt[6]{2} \\b=1.12$

$A=43000(1.12)^t$

Now find out A when t=16 (2020)

$A=43000(1.12)^t\\A=43000(1.12)^{16}\\A=263606.9$

3 0

3 years ago

Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an addi

katrin [286]

Answer:

20 miles

Step-by-step explanation:

5 0

3 years ago

A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long.

s2008m [1.1K]

Answer: The height of the palm tree is 21 feet.

Step-by-step explanation:

We can use a ratio to solve this:

Actual height to shadow for both objects. The fraction equivalents must be equal.

6/8 = x/28 . Cross multiply

6(28) = 8x

168 = 8x Divide both sides by 8 (8's "cancel" on the right)

168/8 =8x/8

21 = x . This gives us the tree's height as 21 feet.

Another way to solve this is to use the ratios, but simplify the first fraction

6/8 = 3/4

Then multiply the length of the shadow by 3/4

3/4 × 28 = height

28÷4 = 7 7 × 3 = 21

21 feet= the height of the palm tree.

3 0

3 years ago

a student found the slope of a line that passes through the points (1,14) and (3,4) to be 5. what mistake did she make?

mariarad [96]

$x_{1}=1$
$x_{2}= 3$
$y_{1} =14$
$y_{2}=4$
$Slope= \frac{rise}{run} = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } = \frac{4-14}{3-1} = \frac{-10}{2} =-5$

answer: The student flipped the y values

3 0

3 years ago

The district manager of four different restaurants wanted to investigate whether the four restaurants differed with respect to c

Alex_Xolod [135]

Answer:

Hello your question is incomplete attached below is the complete question

answer : There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification. ( E )

Step-by-step explanation:

To arrive at this conclusion we will determine the Null and alternate hypothesis

H0 : Number that orders dessert is same based on family classification given

Ha : Number that orders dessert is not the same based on family classification given

from the question the p-value of Chi-square test is 0.092 > 0.05 hence we will fail to reject the null hypothesis. therefore we can conclude that

There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification

5 0

3 years ago