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Kaylis [27]
3 years ago
12

What are the solutions of the following equation?

Mathematics
1 answer:
noname [10]3 years ago
7 0

Answer:

D. x = 7 and x = 14

Step-by-step explanation:

this is a quadratic equation, so use the quadratic formula: (-b+-√b^2-4ac) / 2a for ax^2+bx+c=0

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You are making a scaledrawing of a room using a scale of1 inch : 4 feet.a. The room is 14 feet by 18 feet. Find itsdimensions in
lilavasa [31]

Answer:

a. 3.5 inches by 4.5 inches

b. 1.5 inches

c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2

Step-by-step explanation:

A scale is a representative fraction showing the relationship between length on a drawing and actual length.

i.e scale = \frac{length on a drawing}{actual length}

 scale = 1 inch : 4 feet

a. The dimensions in the drawing can be determined as;

1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.

\frac{14}{4} = 3.5 inches

\frac{18}{4} = 4.5 inches

Dimensions on drawing is 3.5 inches by 4.5 inches.

b. The length of the sofa is 6 feet, its length on the drawing is;

\frac{6}{4} = 1.5 inches

c. To enlarge the scale so as to double the dimensions of the drawing, we have;

12 inches = 1 feet

4 feet = 4 × 12 = 48 inches

given scale = 1 inch : 48 inches

Thus, divide 48 inches by 2 and multiply 1 inch by 12.

scale = 12 inch : 24 inch

scale = 1 : 2

To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.

6 0
3 years ago
What is -9≤-6; if you add 15 to both sides​
ankoles [38]

Answer:

Step-by-step explanation:

- 9 ≤ - 6

- 9 + 15 ≤ - 6 + 15

6 ≤ 9

4 0
2 years ago
W - 5,129 = 2,329<br><br>A. w = 7,468<br><br>B. w = 7,558<br><br>C. w = 7,458
Shkiper50 [21]
W−5129=2329

Step 1: Add 5129 to both sides.
(5129+2339)

w−5129+5129=2329+5129 =

w=7458

7 0
3 years ago
4) linear equations <br><br> 9+4x=-15
Sunny_sXe [5.5K]

Answer:

X=-6

Step-by-step explanation:

Subtract 9 on both sides

Add -9 and -15 You get -24

Divide -24 by 4 you get x=-6

8 0
2 years ago
Lemons tastes sour to some people. This sourness is inherited through the TAS2R38 gene. About 65% of the population has this gen
Minchanka [31]

Answer:

We are given:

\hat{p}=0.65

Margin of error E=0.02

Confidence level = 0.99

We need to find the sample size to estimate the proportion of people who carry the TAS2R388 gene.

The formula for finding the sample size is:

n=\hat{p} (1-\hat{p})\left (\frac{z_{\frac{0.01}{2}}}{E} \right )^{2}

Where:

z_{\frac{0.01}{2}}=2.576 is the critical value at 0.01 significance level.

Therefore, the required sample size is:

n=0.65(1-0.65) \left(\frac{2.576}{0.02} \right)^{2}

      =0.2275 \times 16589.44

      =3774.1 \approx 3774

Therefore, the required sample size is 3774


3 0
3 years ago
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