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jeka94
3 years ago
12

Solving QE's by factoring

Mathematics
1 answer:
gogolik [260]3 years ago
7 0

Answer:

The factored form of this is (x - 7)(x -4)

Step-by-step explanation:

In order to factor quadratic equaitons with a 1 as the first coefficient, we look for two numbers that multiply to the last number (28), but add up to the middle number (-11). To do this, we often list the factors of the last number.

Factors of 28

1, 28

-1, -28

2, 14

-2, -14

4, 7

-4, -7

The numbers -4 and -7 satisfy this requirement and are therefore the numbers we want. Now we stick them into parenthesis along with x terms in the front like this:

(x - 7)(x -4)

And that is the fully factored form.

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A__ is a solid consisting of a square, a point not in the same plane as the
Marizza181 [45]

Answer:

square pyramid

Step-by-step explanation:

a square pyramid by definition has a base that is square and its extruded sides taper to a point which is not in the same plane as the square

6 0
3 years ago
Read 2 more answers
Use long division to divide 34,298 by 26, Then, select the true statement.
Andre45 [30]

Hi!

See my image to see how I solved this.

The answer is b. the quotient has a remainder of 4

Hope this helps! :)

-Peredhel

8 0
3 years ago
The length of a rectangle is 3 cm more than twice the width. The area of the rectangle is 65 square centimeters. Find the dimens
polet [3.4K]

Answer:

5 cm and 13 cm

Step-by-step explanation:

Let b be the width of the rectangle.

Length = 3+2b

The area of the rectangle is 65 cm²

We need to find the dimensions of the rectangle. The area of a rectangle is given by :

A = lb

65=(3+2b)b\\\\65=3b+2b^2\\\\3b+2b^2-65=0\\\\b=5\ cm,-6.5\ cm

Neglecting the negative value, the width of the rectangle is 5 cm.

Length = 3+2b

=3+2(5)

=3+10

=13 cm

Hence, the dimensions of the rectangle are 5 cm and 13 cm.

6 0
3 years ago
What is the volume, in cubic cm, of a rectangular prism with a height of 10cm, a width of 20cm, and a length of 11cm??
Alex787 [66]

here's the solution,

=》volume = l × b × h

where,

  • l = lenght
  • b = width
  • h = height

so,

=》

v = 11 \times 20 \times 10

=》

2200

so, volume = 2200 cm³

7 0
3 years ago
A data related to air pollution in 10 U.S. cities. The dependent variable Y is the annual mean concentration of sulfur dioxide,
Anna11 [10]

Answer:

Y = 0.0315x + 9.4764

Residual = 2.35

Correlation Coefficient = 0.847

Step-by-step explanation:

From the R output given :

Intercept = 9.4764

Slope = 0.0315

x = number of manufacturing enterprise employing 20 or more workers

y = annual mean concentration of Sulphur dioxide

The regression equation :

y = bx + c

b = slope ; c = intercept

y = 0.0315x + 9.4764

Prediction using the regression equation :

The predicted y value, when x = 250

y = 0.0315(250) + 9.4764

y = 17.3514

The residual, if actual annual concentration = 15

Y residual = 17.35 - 15 = 2.35

The correlation Coefficient value, R

R = √R²

R = √0.717

R = 0.847

5 0
3 years ago
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