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4 years ago

Multiply the following binomials. (4x-6)(x-7)

Mathematics

1 answer:

Alexxandr [17]4 years ago

7 0

Answer:

4x^2 -34x+42

Step-by-step explanation:

(4x-6)(x-7)

FOIL

first 4x*x = 4x^2

outer 4x*-7 = -28x

inner : -6 *x = -6x

last : -7*-6 = 42

Add them together = 4x^2 -28x-6x +42

=4x^2 -34x+42

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Analyze the diagram below and complete the instructions that follow.

Trava [24]

Law of Cosines says

$b^2 = a^2 + c^2 - 2 ac \cos B$

$2 a c \cos B = a^2 + c^2 - b^2$

$\cos B = \dfrac{a^2 + c^2 - b^2}{2 a c}$

$\cos B = \dfrac{16^2 + 16^2 - 11^2}{2(16)(16)} = \dfrac{ 391}{512}$

$B = \arccos \dfrac{ 391}{512} \approx 40.2 ^\circ$

Choice C

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3 years ago

two dice are rolled, given that the total showing on the two dice is 7, find the probability that one of the dice shows the numb

kipiarov [429]

Answer:

For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Make 2 sets of data 8 numbers each between 1 and 25. Then calculate the median and IQR for each data set.

vlada-n [284]

The median of the data set will be 15.5. The data set is in between the 1 to 25.

<h3>What is median?</h3>

Median is such a number for the arranged data set in ascending or descending order, such that to its left and to its right belong the same number of observations.

The data set between the number is;

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25

The value of IQR for data set is;

First Quartile Q1 = 6.5

Second Quartile Q2 = 13

Third Quartile Q3 =19.5

The median of the data set is;

$\rm Median= \frac{15+16}{2} \\\\ Median= 15.5$

Hence, the median of the data set will be 15.5.

To learn more about median refer:

brainly.com/question/21396105

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2 years ago

Can you help me with this maths q please?

Korvikt [17]

Answer:

See below

Step-by-step explanation:

a) line marked a is tangent

b) line marked b is radius

c) line marked c is diameter

d) line marked d is chord

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4 years ago

What is 0.000001 written as a power of ten?

AleksandrR [38]

$a^{-n}=\dfrac{1}{a^n}\\\\10^{-n}=\dfrac{1}{10^n}=0.\underbrace{000...1}_{n}\\\\\text{examples:}\\\\10^{-2}=\dfrac{1}{10^2}=\dfrac{1}{100}=0.\underbrace{01}_{2} \\10^{-4}=\dfrac{1}{10^4}=\dfrac{1}{10,000}=0.\underbrace{0001}_{4}\\\\\text{therefore}\\\\0.\underbrace{000001}_{6}=10^{-6}\\\\\text{Answer:}\ \boxed{B.\ 10^{-6}}$

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4 years ago