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2 years ago

Quick algebra 1 question for 10 points!

Mathematics

2 answers:

polet [3.4K]2 years ago

7 0

<h3>They all to seem have a y-intercept of (0,-4) so i will be looking at their x-intercept.</h3>

<h3>x-intercept = intersection w/ x axis = y:0</h3>

$3x + y = - 4 \\ 3x + 0 = - 4 \\ 3x = - 4 \\ x = \frac{ - 4}{3} = - 1.333$

<h3>It has to be the last line in the second picture since it intersects the x axis at approximately x=-1.333</h3>

Arisa [49]2 years ago

5 0

$\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}$

◉ $\bm{Last \: option \: (D.)}$

$\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}$

Write the equation in slope-intercept form. Then solve y.

▪ $\small\longrightarrow \sf{3x-3x + y = −3x -4}$

▪ $\small\longrightarrow \sf{y= -3x-4}$

Identify the x-intercept,

$\small \sf \longrightarrow{3x + 0 = - 4}$

$\small\longrightarrow \sf{3x=-4}$

$\small\longrightarrow \sf{x = - \dfrac{4}{3} }$

$\small\longrightarrow \sf{x = -1.33}$

The graph has the next properties:

$\small\longrightarrow \sf{Slope: \: 3}$

$\small\longrightarrow \sf{x-intercept: \: (-1.33,0)}$

$\small\longrightarrow \sf{y-intercept: \: (0,4) }$

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Choose the correct graph of the equation y=2,5x

Brut [27]

Answer would be A because it increases by 2.5

7 0

3 years ago

3 - 5 + 3(2 - 1) + 4 = 2 =<br> A)3.5 B)2.5 C)3 D)5

77julia77 [94]

C)3. My work is shown below

7 0

2 years ago

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May someone help me out with this question

dedylja [7]

The answer would be 7.5

3 0

3 years ago

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Question number 7 Give a reasonable domain and range for the function in this context

alina1380 [7]

Answer: D: [0, ∞)

R: [0, ∞)

Step-by-step explanation:

f(x) = 1.5x

x is the number of bottles

f(x) is the cost

Domain is the x-values. The least amount of bottles you can buy is 0 and the most you can buy is infinite <em>(technically you can only buy the amount you can afford and the amount the store has to sell but for mathematical purposes you can buy an infinite amount)</em>

So, the domain (D) is x = 0 to ∞ → D: [0, ∞)

Range is the y-values. The least and most amounts are based on the domain. Since the smallest x-value is 0, input that value into the equation to solve for f(x). Similarly, input the greatest x-value to solve for f(x).

f(x) = 1.5(0)

= 0

f(x) = 1.5(∞)

= ∞

So, the range (R) is f(x) = 0 to ∞ → R: [0, ∞)

3 0

4 years ago

Write a function rule to represent the sequence 0.3,0.9,1.5,2.1<br> PLease help

liraira [26]

The rule for sequence is:

$a_n=0.3+(n-1)(0.6)$

Step-by-step explanation:

To write the function rule, we have to check first whether it is an arithmetic sequence or geometric sequence

We have to find the common difference first. Common difference is the difference between two consecutive terms of a arithmetic sequence.

So,

Here

$a_1=0.3\\a_2=0.9\\a_3=1.5\\a_4=2.1\\d=a_2-a_1=0.9-0.3=0.6\\a_3-a_2=1.5-0.9=0.6$

The common difference is same so the sequence is an arithmetic sequence.

The explicit formula for an arithmetic sequence is:

$a_n=a_1+(n-1)d\\$

Putting the values of d and a_1 we get,

$a_n=0.3+(n-1)(0.6)$

Hence,

The rule for sequence is:

$a_n=0.3+(n-1)(0.6)$

Keywords: Functions Rule, Arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago