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almond37 [142]
2 years ago
10

Solve using substitution. Y = -x + 1 y = -2x + 8

Mathematics
1 answer:
sergey [27]2 years ago
3 0
To find x- intercept the zero so substitute y=0
0=-x+1
X=1 thqt should be your answer
Hope this helped
Answer: x=1
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Write an inequality for x that would give this rectangle a perimeter of at least 300ft
Travka [436]

Answer:

The inequality for x is:

x\geq 142

Step-by-step explanation:

Given:

Width of rectangle = 3 ft

Height or length of rectangle = (x+5) ft

Perimeter is at least 300 ft

To write an inequality for x.

Solution:

Perimeter of a rectangle is given as:

⇒ 2l+2w

where l represents length of the rectangle and w represents the width of the rectangle.

Plugging in the given values in the formula, the perimeter can be given as:

⇒ 2(x+5)+2(3)

Using distribution:

⇒ 2x+10+6

Simplifying.

⇒ 2x+16

The perimeter is at lest 300 ft. So, the inequality can be given as:

⇒ 2x+16\geq 300

Solving for x

Subtracting both sides by 16.

⇒ 2x+16-16\geq 300-16

⇒ 2x\geq284

Dividing both sides by 2.

⇒ \frac{2x}{2}\geq \frac{284}{2}

⇒ x\geq 142   (Answer)

7 0
3 years ago
The following are the ages of 13 history teachers in a school district. 24, 27, 29, 29, 35, 39, 43, 45, 46, 49, 51, 51, 56 Notic
pishuonlain [190]

The five-number summary and the interquartile range for the data set are given as follows:

  • Minimum: 24.
  • Lower quartile: 29.
  • Median: 43.
  • Upper quartile: 50.
  • Maximum: 56.
  • Interquartile range: 50 - 29 = 21.

<h3>What are the median and the quartiles of a data-set?</h3>

  • The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
  • The first quartile is the median of the first half of the data-set.
  • The third quartile is the median of the second half of the data-set.
  • The interquartile range is the difference between the third quartile and the first quartile.

In this problem, we have that:

  • The minimum value is the smallest value, of 24.
  • The maximum value is the smallest value, of 56.
  • Since the data-set has odd cardinality, the median is the middle element, that is, the 7th element, as (13 + 1)/2 = 7, hence the median is of 43.
  • The first quartile is the median of the six elements of the first half, that is, the mean of the third and fourth elements, mean of 29 and 29, hence 29.
  • The third quartile is the median of the six elements of the second half, that is, the mean of the third and fourth elements of the second half, mean of 49 and 51, hence 50.
  • The interquartile range is of 50 - 29 = 21.

More can be learned about five number summaries at brainly.com/question/17110151

#SPJ1

3 0
1 year ago
Suppose that qequals30​, Lequals5​, and Kequals15 is a point on the production function qequals​f(L, ​K). Is it posssible for qe
Kamila [148]

Answer:

No

Step-by-step explanation:

If q=30​, L=5​, and K=15 is a point on the production function q=​f(L, ​K).

Production function is an equation that expresses the relationship between the quantities of factors of production used and the amount of product obtained under the assumption that the most efficient available methods of production are used.

The combination q=30​, L=5​, and K=16 cannot be a point because we assume production functions are efficient.

7 0
3 years ago
Read 2 more answers
What is the area of the triangle?
klemol [59]
A = 1/2 bh = 1/2(8)(6) = 48/2 = 24

answer
first one.
24 square units
3 0
3 years ago
Read 2 more answers
the parent cosine function is transformed to create the function m(x) =-2cos(x+π). which graphed function has the same amplitude
salantis [7]

Answer: Graph D

Step-by-step explanation: Got it right on plato

8 0
2 years ago
Read 2 more answers
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