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diamong [38]
2 years ago
14

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the ex

pression below. For (x - 1)(x - 7) to equal 0, either (x - 1) or (x - 7) must equal . The values of x that would result in the given expression being equal to 0, in order from least to greatest, are and
Mathematics
1 answer:
natka813 [3]2 years ago
8 0

An expression is defined as a set of numbers, variables, and mathematical operations. The value of x for which the expression (x-1)(x-7)=0 is 1 and 7.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

For the given expression, (x-1)(x-7), the value of x for which the expression will be equal to 0 can be found by equation the factors of the expression to 0. Therefore,

x-1 = 0

x = 1

and

x-7=0

x = 7

Hence, the value of x for which the expression (x-1)(x-7)=0 is 1 and 7.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

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67. The line contains the point (4,0) and is parallel<br> to the line defined by 3x = 2y.
olganol [36]

Answer:

y=\frac{3}{2} x-6

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:
  • y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines will always have the same slope but different y-intercepts.

<u>1) Determine the slope of the parallel line</u>

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

3x = 2y

Switch the sides

2y=3x

Divide both sides by 2 to isolate y

\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x

Now that this equation is in slope-intercept form, we can easily identify that \frac{3}{2} is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope \frac{3}{2} . Plug this into y=mx+b:

y=\frac{3}{2} x+b

<u>2) Determine the y-intercept</u>

y=\frac{3}{2} x+b

Plug in the given point, (4,0)

0=\frac{3}{2} (4)+b\\0=6+b

Subtract both sides by 6

0-6=6+b-6\\-6=b

Therefore, -6 is the y-intercept of the line. Plug this into y=\frac{3}{2} x+b as b:

y=\frac{3}{2} x-6

I hope this helps!

7 0
3 years ago
A group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students
ValentinkaMS [17]

Answer:

A maximum of 43 students and 11 teachers can go to the trip.

Step-by-step explanation:

Since a group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students, and the bus can hold a maximum of 54 teachers and students, to determine the possible numbers of teachers and students who can go on the trip, the following calculation must be performed:

4 + 1 = 5

54/5 = X

10.8 = X

10 x 4 = 40

10 x 1 = 10

4 - 1 = 3

Therefore, a maximum of 43 students and 11 teachers can go to the trip.

8 0
3 years ago
The answer to the question please
son4ous [18]
10 flute players
the ratio will be 6:5 on both
5 0
3 years ago
A large bottle of juice contains 500 milliliters. A smaller size bottle has 70% as much juice. How many milliliters or juice are
marishachu [46]
350 millimeters hope this helps
4 0
3 years ago
Read 2 more answers
Please help if you can, thank you
Mariulka [41]

Answer:

1.11333333

Step-by-step explanation:

I calculated using Symbolab

sorry if its wrong

7 0
3 years ago
Read 2 more answers
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