All categories

3 years ago

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.

You might be interested in

How many number cards are there in a deck of cards

mart [117]

...aish maybe about 100-

3 0

3 years ago

Applicants who wish to be admitted to a certain professional school in a large university are required to take a screening test

Elden [556K]

Answer:

Probability of eligible applicants who pass the exam is 0.665

probability of applicants who are ineligible but pass the exam 0.063

Step-by-step explanation:

Total percentage eligible applicants who pass the exam

$\textrm {89\% of 70\%}= \dfrac{89\times70}{100}=62.3\%$

Total ineligible applicants who pass the exam

$\textrm {14\% of 30\%}= \dfrac{14\times30}{100}=4.2\%$

All applicants who pass this exam 62.3% + 4.2% = 66.5%

Probability of applicants who pass the exam

$\textrm{probability }= \dfrac{66.5}{100}=0.665$

Out of 66.5% applicants who pass the exam , 4.2% applicants are ineligible

$\textrm{so the probability is}\dfrac{4.2}{66.5}=0.063$

Probability of applicants who pass the exam is 0.665

probability of applicants who are ineligible but pass the exam 0.063

6 0

3 years ago

Helpp its for a test and I don’t know how to do it

lozanna [386]

X f(x)
1 -12
0 -9
-1 -6

5 0

2 years ago

One batch of fruit punch contains 1/3 quart grape juice and 1/5 quart apple juice. Colby makes 11 batches of fruit punch. How mu

zhuklara [117]

Answer:

3.66666666667

Step-by-step explanation:

If you multiply the number of batches he makes and the amount of grape juice he needs for every quart, you get and answer of 3.66666666667.

1/3 * 11= 3.66666666667

If you need to round the answer it would be 3.67

8 0

2 years ago

I NEED HELP PLS I WILL MARK BRAINLIEST

ANEK [815]

Answer:

$\approx 11.2\:\mathrm{in}$

Step-by-step explanation:

The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by $2r\pi\cdot \frac{\theta}{360}$ , where $r$ is the radius of the circle and $\theta$ is the angle of the arc.

In this problem, we're given:

$\theta = 40^{\circ},\\r=16$

Substituting given values, we get:

$2\cdot 16\cdot \pi \cdot \frac{40}{360}=32\pi\cdot \frac{1}{9}\approx \boxed{11.2\:\mathrm{in}}$

8 0

3 years ago