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SIZIF [17.4K]
3 years ago
15

What is the equation of the following line written in general form? (The y-intercept is -1.).

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0

Answer:

The answer is C.

Step-by-step explanation:

In the graph above, it is a positive gradient so option A and B cannot be applied.

Next you have to look at the y-intercept where the line touches the y-axis so -1 is the y-intercept.

The slope-form equation is y = mx + b where m represents gradient amd b is y-intercept :

Option A,

- 2x - y - 1 = 0

y =  - 2x - 1 \: (incorrect \: m)

Option B,

2x + y - 1 = 0

y =  - 2x + 1 \: (incorrect \: m \: and \: b)

Option C,

2x - y - 1 = 0

y = 2x - 1 \: (correct \: m \: and \: b)

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Find the cardinality of the set B = { 5, 6, 7, … , 100}
vaieri [72.5K]

The cardinality of the set B is given to be 96.

<h3>What is the cardinality of a set?</h3>

This is the term that is used to refer to the number of elements that a given set can be said to contain.

This is a set that has numbers that ranges from 5 to 100, this tells us that the numbers 1, 2, 3, 4 are excluded from the set.

Hence the total numbers excluded is 4. 100 - 4 = 96

Therefore from 5 to 100, the total 9 and the cardinality of the set B is 96.

Read more on the cardinality of a set here: brainly.com/question/23976339

#SPJ1

3 0
1 year ago
The Harper family drove 510 miles on their vacation. Mr. Harper and Mrs. Harper took turns driving. Mr. Harper drove 4 times as
Korvikt [17]
Mrs. Harper drove 102 miles and Mr. Harper drove 408. Am I right?
6 0
3 years ago
Read 2 more answers
The top of a table is a parallelogram with a base of 28 cm and a height of 20 cm. Patty wants to cover the table with tiles that
suter [353]

The area of the top of the table is 28 × 20 = 560 cm2. The area of Patty’s tiles is 8 cm2 each and the area of Jake’s tiles is 9 cm2 each. Patty will need 560 ÷ 8, or 70, tiles. Jake will need 560 ÷ 9, or about 63, tiles. So, Patty will use about 7 more tiles.

3 0
3 years ago
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At Costco, you can buy a ten-pound bag of Halloween candy for $23.99. Kroger is running a special on the same brand of candy: bu
kirill [66]

Answer:

A. 2.40

B. 4

C. Costco is the better deal

Step-by-step explanation:

23.99/10= 2.399 (rounded to 2.40)

10/2.5 lbs (16 oz = 1 lb) = 4

6 0
3 years ago
Please explain every step
pogonyaev
<h3>Answer:</h3>

761680

<h3>Explanation:</h3>

\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}

<u>Identify the following's</u>:

First Term [a]  =  60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r]  =  1.2

Total Terms [n] =  44

===========================

\sf Geometric \ Sum \ of  \ Terms = \dfrac{a(r^n - 1)}{r-1}

===========================

Solving Steps:

<em />\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}<em />

<em />

<em />\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}<em />

<em />

<em />\rightarrow \sf 761679.5808<em />

<em />

\rightarrow \sf 761680 \ \ \  (rounded \ to \ nearest \ integer)

8 0
2 years ago
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