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1 year ago

How do i find the answer of this math question or problem f(x) = 4x − 9?

Mathematics

1 answer:

Mademuasel [1]1 year ago

6 0

Answer:

x = 9/4

Step-by-step explanation:

f(x) = 4x - 9

(first substitute f(x) with 0)

0 = 4× - 9

(Move four)

-4x = -9

=> x = -9/-4

= 9/4

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Solve the following using Substitution method<br> 2x – 5y = -13<br><br> 3x + 4y = 15

Digiron [165]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve the following using Substitution method

2x – 5y = -13

3x + 4y = 15

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\left. \begin{array} { l } { 2 x - 5 y = - 13 } \\ { 3 x + 4 y = 15 } \end{array} \right.$

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

$2x-5y=-13, \: 3x+4y=15$

Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

$2x-5y=-13$

Add 5y to both sides of the equation.

$2x=5y-13$

Divide both sides by 2.

$x=\frac{1}{2}\left(5y-13\right) \\$

Multiply $\frac{1}{2}\\$ times 5y - 13.

$x=\frac{5}{2}y-\frac{13}{2} \\$

Substitute $\frac{5y-13}{2}\\$ for x in the other equation, 3x + 4y = 15.

$3\left(\frac{5}{2}y-\frac{13}{2}\right)+4y=15 \\$

Multiply 3 times $\frac{5y-13}{2}\\$ .

$\frac{15}{2}y-\frac{39}{2}+4y=15 \\$

Add $\frac{15y}{2} \\$ to 4y.

$\frac{23}{2}y-\frac{39}{2}=15 \\$

Add $\frac{39}{2}\\$ to both sides of the equation.

$\frac{23}{2}y=\frac{69}{2} \\$

Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

$\large \underline{ \underline{ \sf \: y=3 }}$

Substitute 3 for y in $x=\frac{5}{2}y-\frac{13}{2}\\$ . Because the resulting equation contains only one variable, you can solve for x directly.

$x=\frac{5}{2}\times 3-\frac{13}{2} \\$

Multiply 5/2 times 3.

$x=\frac{15-13}{2} \\$

Add $-\frac{13}{2}\\$ to $\frac{15}{2}\\$ by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

$\large\underline{ \underline{ \sf \: x=1 }}$

The system is now solved. The value of x & y will be 1 & 3 respectively.

$\huge\boxed{ \boxed{\bf \: x=1, \: y=3 }}$

8 0

2 years ago

The functions f(x) and g(x) are described below:

AfilCa [17]

Answer:

$15$ units.

Step-by-step explanation:

The given functions are:

$f(x)=3x-7$

and

$g(x)=3x+8$

The function $f(x)=3x-7$ has y-intercept , $-7$ .

The function $g(x)=3x+8$ has y-intercept, $8$

If we shift the graph of g(x) up to obtain f(x), then the y-intercept must move from $-7$ to $8$ .

This means that the graph will move up by;

$8--7=8+7=15$ units.

8 0

3 years ago

Read 2 more answers

The graph shows the solution to which system of inequalities?

Misha Larkins [42]

Answer:

The orange one is the answer

Step-by-step explanation:

The easiest way to find the solution is to plug in one of the coordinates that is located in the shaded area into each equation. If the equations make sense, as they do in the orange option, you have your answer.

Hope this helps you!

7 0

2 years ago

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Use the Factor Theorem to determine whether x + 1 is a factor of P(x) = 2x³+4x²–2x−8.

Harman [31]

Answer: $2x^2+2x-4-\frac{4}{x+1}$

Not a factor because there is a remainder.

Step-by-step explanation:

Let's use synthetic division to solve this..

-1 ║ 2 | 4 | -2 | -8

║ | -2| -2 | 4

║ 2 | 2| -4 | -4

$2x^2+2x-4-\frac{4}{x+1}$

PS: if anyone knows a better way to do a synthetic division chart please let me know.

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1 year ago

Factor 10x3 + 8x2 - 6x.

valkas [14]

We notice a factor of 2x in both 2x(5x^2+4x-3) trial and error (5x-3)(x+1) yeilds 5x^2+2x-3, nope (5x+3)(x-1) yeilds 5x^2-2x-3, nope (5x-1)(x+3) yeilds 5x^2+14x-3, nope (5x+1)(x-3) yeilds 5x^2-14x-3, nope simplest form is 2x(5x^2+4x-3)

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3 years ago