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Verizon [17]
3 years ago
6

Solve for x: x - 5y = -1

Mathematics
1 answer:
Fantom [35]3 years ago
6 0

Answer:

x = -1 + 5y

Step-by-step explanation:

If you writing this equation in terms of x then the answer is correct, however, if there is a value for y, then you just need to sub it into y.

For example,

Find x when y = 3

x = -1 + 5(3)

  = -1 + 15

  = 14  

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Find the vertex of the parabola whose equation is y = x^2 + 8x + 12.
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The vertex<span> of a </span>parabola<span> is the point where the </span>parabola<span> crosses its axis of symmetry. If the coefficient of the x 2 term is positive, the </span>vertex<span> will be the lowest point on the graph, the point at the bottom of the “ U ”-shape.
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The vertex of the parabola whose equation is y = x^2 + 8 x + 12 will be :
</span>(x , y) = (-4,-4)
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3 years ago
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If arc AB = 107° and arc BC = 122°, find the value of x.
Aneli [31]

Answer:

the value of x is acb 133°

4 0
3 years ago
Chad is making an orange smoothie. The recipe calls for 3 parts frozen yogurt to 5 parts orange juice. How many ounces of orange
IrinaVladis [17]

Answer:

8

Step-by-step explanation:

If you add 5 and 3 then subtract the answer from 16 you get 8

6 0
3 years ago
The 11th term in a geometric sequence is 48 and the common ratio is −0.8. The 12th term is _________ and the 10th term is ______
Svetach [21]

Answer:

The 12th term is <u>-38.4</u> and the 10th term is <u>-60</u>.

Step-by-step explanation:

Consider the geometric sequence,

S=\{a,\ ar,\ ar^{2},\ ar^{3},\ ...\}

The first term is, <em>a</em>.

The common ratio is, <em>r</em>.

The formula to compute the common ratio is:

r=\frac{T_{n}}{T_{n-1}}

The information provided is:

T₁₁ = 48

r = -0.8

Compute the 12th term as follows:

    r=\frac{T_{n}}{T_{n-1}}

<em></em>-0.8=\frac{T_{12}}{T_{11}}\\\\0.8=\frac{T_{12}}{48}\\\\T_{12}=48\times-0.8\\\\T_{12}=-38.4<em></em>

The 12th term of the geometric sequence is -38.4.

Compute the 10th term as follows:

    r=\frac{T_{n}}{T_{n-1}}

<em></em>-0.8=\frac{T_{11}}{T_{10}}\\\\0.8=\frac{48}{T_{10}}\\\\T_{10}=\frac{48}{-0.8}\\\\T_{10}=-60<em></em>

The 10th term of the geometric sequence is -60.

6 0
4 years ago
Based on a survey, assume that 28% of consumers are comfortable having drones deliver their purchases. Suppose that we want to f
borishaifa [10]

<em>Question:</em>

<em>Based on a survey, assume that 28% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones. </em>

<em>Identify the values of n, x, p, and q.</em>

Answer:

n = 5

x = 3

p = 0.28

q = 0.72

Step-by-step explanation:

Given

Proportion of customers that prefer drone = 28%

Selected customers= 5

Customers expected to prefer drone = 3

Required

Determine the value of n, x, p and q

In probability; n represents the selected sample;

So;

n = 5

The expected number of people to prefer drone is represented by x;

So;

x = 3

In probability, opposite probabilities add up to 1

i.e.

p + q = 1

Where p is the given probability;

p = 28\%

Convert to decimal

p = 0.28

Substitute 0,28 for p in the above equation

p + q = 1 becomes

0.28 + q = 1

Make q the subject of formula

q = 1 - 0.28

q = 0.72

6 0
4 years ago
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