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erik [133]
1 year ago
15

If x is 1 what is the value of y?9x - 5y = 29

Mathematics
1 answer:
mylen [45]1 year ago
4 0

Given

The equation,

9x - 5y = 29.

To find the value of y when x is 1.

Explanation:

It is given that,

9x-5y=29

That implies,

When x=1,

\begin{gathered} 9(1)-5y=29 \\ 9-5y=29 \\ -5y=29-9 \\ -5y=20 \\ y=\frac{20}{-5} \\ y=-4 \end{gathered}

Hence, the value of y is -4.

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Write a rule in function notation for each situation:
algol [13]

Answer:

1. \bold{S=f(P) = 0.07P}

2. x = 16

3. Part 1: P is the independent variable and S is the dependent variable.

Part 2: x is the independent variable and y is the dependent variable.

Step-by-step explanation:

1. To write the function notation for:

Sales tax is 7% of the total price.

Let the total price be P.

And sales tax be S.

As per the given statement:

S = 7\% \ of\ P\\\Rightarrow S =\dfrac{7}{100}P\\\Rightarrow S=0.07P

Writing it in the function notation:

\bold{S=f(P) = 0.07P}

2. To find the value of x such that f(x) = 14 and

f(x) = \dfrac{1}4x + 10

Putting the value of f(x) = 14

14 = \dfrac{1}4x + 10\\\Rightarrow \dfrac{1}4x =14-10\\\Rightarrow \dfrac{1}4x =4\\\Rightarrow x =4\times 4\\\Rightarrow \bold{x =16}

3. To find the dependent and independent variable.

Independent variables are those whose value is not dependent on the other variable's values.

Dependent variables are dependent on the value of other variables.

In question 1:

\bold{S=f(P) = 0.07P}

P is the independent variable.

S is the dependent variable.

In question 2:

If we write it as follows:

y=f(x) = \dfrac{1}4x + 10

x is the independent variable and y is the dependent variable.

5 0
3 years ago
HELP PLEASE!
V125BC [204]
There are several ways to find the zeros of a quadratic function. One of my favorite is to use a graphing calculator to graph it. The zeros can be read directly from the graph.

The zeros are -5 and 6.

5 0
3 years ago
What is the value of x?​
Ivanshal [37]
The answer is that X=25 because (3x - 15) can be moved in the position where it is a vertical angle because of the corresponding angles postulate
5 0
3 years ago
Blake measures the lengths, in inches, of 10 insects. He records the lengths of the insects on this line plot. He adds the lengt
ivanzaharov [21]

Answer: 5 inches

Step-by-step explanation:

The x's denote the insects measured so the longest insects would be of lengths:

1³/₄ inch, 1³/₄ inch and 1¹/₂ inch.

Adding them together would require converting them to improper fractions first:

7/4, 7/4, 3/2

Pick a denominator that is both denominators' lowest common multiple = 4

Adding them:

Divide the LCM by the denominator of the fraction and multiply the result by the numerator:

= (7 + 7 + 6) / 4

= 20/4

= 5 inches

7 0
3 years ago
Evaluate the expression 9 - z9−z9, minus, z when z = 4z=4z, equals, 4
Sophie [7]

Answer:

Step-by-step explanation:

Answer:

<h2>5</h2>

Step-by-step explanation:

Given the expression f(z) = 9-z

To get the value of the resulting value of the function when z = 4, all we need to do is substitute the value of z given into the function to have;

f(4) = 9-4

f(4) = 5

The right answer is 5

7 0
3 years ago
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