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natka813 [3]
2 years ago
7

le="\sf\large\green{\underbrace{\red{Question*}}}:" alt="\sf\large\green{\underbrace{\red{Question*}}}:" align="absmiddle" class="latex-formula">
\mathbb\blue{SOLVE}
\pink{1. \:  \:  \:  \:  \:  \:  (3 - x)(x + 2) = 0}
\pink{2. \:  \:  \:  \:  \: {(q + 2)}^{2}  - 40}
​
Mathematics
1 answer:
Setler79 [48]2 years ago
5 0

\large{\underline{\underline{\pmb{\sf{\color {red}{Solve:}}}}}}

\sf \red{1. \: (3x - x) (x + 2) = 0}

\sf \red{2. \: (q + 2)^{2} - 40}

\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}

2.soln:

(q + 2)² - 40

=> (q)² + 2.q.2 + (2)² - 40

=> q² + 4q + 4 - 40

=>q² + 4q - 36

Here, a = 1, b = 4 and c = - 36

By, using Quadratic formula

See the attachment

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Case study
stepladder [879]

Given:

The data set is

21, 16, 30, 15, 16, 18, 10, 24, 26, 20, 19, 24, 24, 25, 23

10, 15, 16, 16, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26, 30

To find:

The range, average and median for the given data set.

Solution:

Arrange the data set in ascending order.

10, 15, 16, 16, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26, 30

(1)

Range = Maximum value - Minimum value

           = 30 - 10

           = 20

Therefore, the range of the given data set is 20. All the options are incorrect.

(2)

Average=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}

Average=\dfrac{311}{15}

Average\approx 20.73

Therefore, the average score is about 20.73. All the options are incorrect.

(3)

Number of observations = 15, which is odd.

Median=\dfrac{n+1}{2}\text{th term}

Median=\dfrac{15+1}{2}\text{th term}

Median=\dfrac{16}{2}\text{th term}

Median=8\text{th term}

In the arranged data set 8th term is 21.

Median=21

Therefore, the correct option is b.

7 0
3 years ago
Explain one way to add a 3-digit number
IrinaK [193]

Line them all up by 100th, 10ths and Ones Place! Hope that this helps you

8 0
3 years ago
Help! I will mark you the brainest !! ☺️☺️
Marizza181 [45]

Answer:

Part 1)  0.675\%

Part 2) 475\%

Part 3) 8\%

Part 4) \frac{67}{20}

Part 5) 2.65

Step-by-step explanation:

Part 1) Write as a percent 0.00675

we know that

To write a number as a percent, multiply the number by 100

so

0.00675*100=0.675\%

Part 2) Write as a percent 4 3/4

Convert mixed number to an improper fraction

4\frac{3}{4}=\frac{4*4+3}{4}=\frac{19}{4}

we know that

To write a fraction as a percent, multiply the fraction by 100

\frac{19}{4}*100=19*25=475\%

Part 3) Write as a percent 2/25

we know that

To write a fraction as a percent, multiply the fraction by 100

\frac{2}{25}*100=2*4=8\%

Part 4) write as a fraction 335%

we know that

335\%=\frac{335}{100}

Simplify

Divide by 5 both numerator and denominator

\frac{335}{100}=\frac{67}{20}

Part 5) Write as a decimal 265%

we know that

265\%=\frac{265}{100}=2.65

3 0
3 years ago
What is the solution to the inequality below?
anastassius [24]
B because a negative squared is always a positive and it has to be a negativ number less than -3 is less than 9 and if it is greater than 3 than it would make it untrue.

3 0
3 years ago
Read 2 more answers
Find the equation of the line that passes through the points (12,21) and (46,33). V.35r-162
AnnZ [28]

Answer:

the answer is Y=(6/17)X + (285/17)

Step-by-step explanation:

1. Identify the X and Y coordinate of each point.            

for example, the first point could be (12,21), therefore X1 = 12 and Y1 = 21 and the second point is then (46,33), therefore X2 = 46 and Y2 = 33

2. to find the equation of the line it is necessary to find the slope.

knowing that the equiation of the slope is M = Y2-Y1/X2-X1 we replace

  m=\frac{33-21}{46-12}=\frac{12}{34} and then we simplify the result to \frac{12}{34}

3. Using the Point-slope equation which is  Y-Y1=M(X-X1) we replace

 Y-33=\frac{6}{17}(X-46)

Y=\frac{6}{17}X-\frac{276}{17}+33

Y=\frac{6}{17}X+\frac{285}{17}

7 0
3 years ago
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