All categories

3 years ago

Factor 3x^2-19x+20

Mathematics

1 answer:

dusya [7]3 years ago

4 0

Answer:

(3x-4)(x-5)

Step-by-step explanation:

This is in the form

ax²+bx+c.

To factor this, we find factors of a·c that sum to b; this means factors of 3(20) = 60 that sum to -19:

60 = 1(60) or -1(-60); 2(30) or -2(-30); 3(20) or -3(-20); 4(15) or -4(-15); 5(12) or -5(-12); 6(10) or -6(-10). The only of these that sum to -19 are -4 and -15. This means we will split up -19x into -4x and -15x:

3x²-4x-15x+20

Next we group the first two terms and the last two terms:

(3x²-4x)+(-15x+20)

Factor out the GCF of each group. For the first group, this is x:

x(3x-4)

For the second group, this is -5:

-5(3x-4)

The common factor for these two groups is (3x-4):

(3x-4)(x-5)

You might be interested in

length of a rectangle is 2 metre and the breadth is 50 find the ratio of a length to the breadth of a rectangle

Fudgin [204]

75

explaining
not sure sorry good luck

5 0

2 years ago

The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma's house. How ma

belka [17]

2.25 ounces were leaked.

8 0

3 years ago

Read 2 more answers

A roulette wheel has 38 slots total, 36 of which are numbered 1 through 36, and 2 green slots labeled "0" and "00." For any spin

Morgarella [4.7K]

Answer:

Probability (Roulette ball not landing on red) = 10 / 19

Step-by-step explanation:

Given:

Number of total slots = 38

Number of red slots = 18

Number of black slots = 18

Number of green slots = 2

Find:

Probability (Roulette ball not landing on red)

Computation:

Probability (Roulette ball not landing on red) = 1 - Probability (Roulette ball landing on red)

Probability (Roulette ball not landing on red) = 1 - (18 / 38)

Probability (Roulette ball not landing on red) = 20 / 38

Probability (Roulette ball not landing on red) = 10 / 19

7 0

3 years ago

Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 133 to 193 cm and

yawa3891 [41]

Answer:

The weight of an adult male who is 172 cm tall is 89.36 kg.

Step-by-step explanation:

The regression equation representing the relationship between height and weight of a person is:

$\hat y=-105+1.13x$

Here

y = weight of a person

x = height of a person

The information provided is:

$\bar x=167.90\ cm\\\bar y=81.47\ kg\\r (X, Y) = 0.228\\p-value=0.023\\\alpha =0.05$

The hypothesis to test the significance of the correlation between height and weight is:

H₀: There is no relationship between the height and weight, i.e. ρ = 0.

Hₐ: There is a relationship between the height and weight, i.e. ρ ≠ 0.

Decision rule:

If the p-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.

According to information provided:

p-value = 0.023 < α = 0.05

The null hypothesis was rejected at 5% level of significance.

Thus, concluding that there is a relationship between the height and weight.

Compute the weight of an adult male with height, x = 172 cm as follows:

$\hat y=-105+1.13x$

$=-105+(1.13\times 172)\\=-105+194.36\\=89.36$

Thus, the weight of an adult male who is 172 cm tall is 89.36 kg.

5 0

3 years ago

HELPP!!! What is the measure of ADC

Gwar [14]

72 degrees

(well it says answers need to be 20 words long.. So I wrote this)

7 0

3 years ago

Factor 3x^2-19x+20 ​

Factor 3x^2-19x+20