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Anika [276]
3 years ago
7

Which method is better for solving the following equation? 4x2+7x -8= 0

Mathematics
1 answer:
julsineya [31]3 years ago
7 0
Order of operations
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The answer is -22. :P

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Chad created a table that shows the ratio of his role playing game cards.
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Step-by-step explanation:

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Hunter started with the following model to show the problem 1 . 45 ÷ 5 1 . 45 ÷ 5 . One 10 by 10 flat, 4 rods of 10 cubes , and
vlada-n [284]

The model Hunter uses makes the division possible given that each

number of digits in a place value are represented by a cube.

  • The number of hundredth in each division group is <u>D. 9</u>

Reasons:

The model Hunter started to show the problem is as follows;

Number of 10 by 10 flat = 1

Number of rods of 10 cubes = 4

Number of single cubes = 5

The division is 1.45 ÷ 5, which can be expressed as follows;

\displaystyle \frac{1.45}{5}

Given that the 5 cubes represent the .05 in 1.45, we have;

1 cube = 0.01

Dividing each of the set by 5 gives, for each of the division group;

10 by 10 flat ÷ 5 = 10 × 2 flat = 20 cubes = 20 × 0.01 = 0.2

4 rods × 10 cubes ÷ 5 = 40 cubes ÷ 5 = 8 cubes = 8 × 0.01 = 0.08

5 cubes ÷ 5 = 1 cube = 1 × 0.01 = 0.01

Therefore, each of the division group is 0.2 + 0.08 + 0.01 = 0.29

<em>The </em><em>tenths </em><em>are the </em><em>digits </em><em>after the </em><em>decimal point </em><em>to the </em><em>right</em><em>.</em>

<em />

The hundredths are the digits in the second position after the decimal point to the right.

<em>The </em><em>number </em><em>of </em><em>tenths</em><em> in each group, </em><em>(0.2)</em><em> = 2</em>

<em>There are 2 tenths in each group</em>

The number of hundredths in each group, (0.09) = 9

There are 9 hundredths in each group.

Therefore;

The correct response to the question on how many hundredths would be there in each of the division groups is <u>D. 9</u>

Learn more about division and place values here:

brainly.com/question/3060423

brainly.com/question/14021681

brainly.com/question/574471

7 0
2 years ago
Shelley drove from New Haven, Connecticut, to New York City in 90 minutes. Which equation relates the distance she traveled to h
lisov135 [29]

Answer:

b

Step-by-step explanation:

d = r * t

None of them are really correct, but the closest one is B. Look at the equation. Rate is multiplied by time. The result is distance.

The 90 minutes should be changed to hours.  No speedometer on a car is rated in feet per second.

3 0
3 years ago
(HURRY! I'M BEING TIMED)Write the partial fraction decomposition of the rational expression.
Aleonysh [2.5K]

Answer:

The partial fraction decomposition is \frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{50}{x + 1}+\frac{-29}{\left(x + 1\right)^{2}}+\frac{-54}{x + 2}.

Step-by-step explanation:

Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.

To find the partial fraction decomposition of \frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}:

First, the form of the partial fraction decomposition is

                                  \frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{A}{x + 1}+\frac{B}{\left(x + 1\right)^{2}}+\frac{C}{x + 2}

Write the right-hand side as a single fraction:

                             \frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{\left(x + 1\right)^{2} C + \left(x + 1\right) \left(x + 2\right) A + \left(x + 2\right) B}{\left(x + 1\right)^{2} \left(x + 2\right)}

The denominators are equal, so we require the equality of the numerators:

             - 4 x^{2} + 13 x - 12=\left(x + 1\right)^{2} C + \left(x + 1\right) \left(x + 2\right) A + \left(x + 2\right) B

Expand the right-hand side:

           - 4 x^{2} + 13 x - 12=x^{2} A + x^{2} C + 3 x A + x B + 2 x C + 2 A + 2 B + C

The coefficients near the like terms should be equal, so the following system is obtained:

\begin{cases} A + C = -4\\3 A + B + 2 C = 13\\2 A + 2 B + C = -12 \end{cases}

Solving this system, we get that A=50, B=-29, C=-54.

Therefore,

                                  \frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{50}{x + 1}+\frac{-29}{\left(x + 1\right)^{2}}+\frac{-54}{x + 2}

7 0
3 years ago
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