3. Evaluate 7w – 52 + 9 + w) when w = 4 and z = 5​

5914 1404 393

Answer:

  f(1) = g(1) = 3

  f(6) = g(6) = 23

Step-by-step explanation:

Perhaps you want to know the solutions to ...

  f(x) = g(x)

Substituting the function definitions, this is ...

  4x -1 = x^2 -3x +5

  0 = x^2 -7x +6 . . . subtract 4x-1

  0 = (x -6)(x -1) . . . factor the equation

Solutions are x = 1 and x = 6, the values that make the factors zero.

The corresponding function values are ...

  f(1) = 4(1) -1 = 3

  f(6) = 4(6) -1 = 23

Solutions for y = f(x) = g(x) are (x, y) = (1, 3) and (6, 23).

Answer:

4

Step-by-step explanation:

We use 1/2base times height to find the area and since we already have an area we just do 24= 6h then we divide 6 on both sides and height equals 4

Answer: 6 inches

Step 1: Subtract 12 because 12 iches is the base.

24 - 12 = 2

Step 2: Divide 12 by 2 because triangles have two equal sides.

12 ÷ 2 = 6

Answer = 6

Answer:

4.5

Step-by-step explanation:

The range of the​ given data would be 5.1  which is determined by the difference between the maximum value and the minimum value of data.

The range of data is defined as a measure of the difference between the maximum value of data and the minimum value of data.

The given results data are as:

{ 2.5, 0.7, -2.2, 2.1, 2.3, -1.6, 1.1, -2.4, 2.7, 1.2 }

To determine the range of the​ data, we have to find the maximum value of the data and the minimum value of the data.

As per the given results,

The maximum value of data = 2.7

The minimum value of data = -2.4

So the range of the​ data would be:

⇒ the maximum value of the data - the minimum value of the data.

⇒ 2.7 - (-2.4)

⇒ 2.7 + 2.4

Apply the addition operation, and we get

⇒ 5.1

Therefore, the range of the​ given data would be 5.1.

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Answer:

$21.2

Step-by-step explanation:

From the problem given, we express them as algebra so that we can easily solve;

    the total charge on a call greater than 120min is given as;

   120x + y(n - 120) = total cost of call

where n is the number of minutes which is greater than 120;

  n = 175min here;

      120x + y(175 - 120) = 26.80

       120x + 55y = 26.80 ----- (I)

      n = 210min

       120x + y(210 - 120) = 32.4

       120x + 90y = 32.4 ----- (II)

Now let us solve both equations for y and x;

      120x + 55y = 26.80 ----- (I)

     120x + 90y = 32.4 ----- (II)

subtract the two equations;

             90y - 55y = 32.4 - 26.8

                  35y = 5.6

                       y = [tex]\frac{5.6}{35}[/tex]  = 0.16cents

then x;

       120x = 26.8 - 55y from equation I

       120x = 26.8 - 55(0.16)

       120x = 18

            x = [tex]\frac{18}{120}[/tex]  = 0.15cents

Find the cost of 140min of talk time;

  n =140min;

      =  120(0.15) + 0.16(140 - 120)

      = 18 + 0.16(20)

      = 18 + 3.2

      = $21.2

Answer:

8.69>8.6

Step-by-step explanation:

Because 8.69 has .09 more than 8.6

Answer:

8.69 > 8.60

Step-by-step explanation:

You need to add a zero to the end to 8.6 so it's easier to compare. Since all the digits in the two numbers are the same except 9 and zero, those are what you need to compare. 9>0, so 8.69 > 8.6

hope this helped! :)

Answer:

1. 24 2. 64 3. 9 4. 11 5. 7 2/5

Step-by-step explanation:

Answer:

z = -15

Step-by-step explanation:

17z = 16z − 15

Subtract 16z from each side

17z-16z = 16z-16z − 15

z = -15

Answer:

Look below

Step-by-step explanation:

The normal absolute value graph is a v shape in the origin, so just go to (0, -2) because of the -2

Hope this helps!!!!

Graph:

Answer:

False

Step-by-step explanation:

The angles are the same, but we know nothing about the sides

For triangles to be congruent, the sides have to be the same length

Since we don't have information about the sides, we do not know if they are congruent.

Answer:

false

Step-by-step explanation:

brainliest plz

Answer:

119 degree

Step-by-step explanation:

The both x and x-58 are coincident to each other so they have sum of 180 degree.

So,

x + x-58 = 180

2x= 180+58

x= (180+58)/2

x= 119

Answer:

As you should know, the sum of angles of any triangle is 180º, as a quadrilater is two times a triangle, the sum of its angles is 360º

So we know the sum of its angles is 180º and we know there are two angles of 90º, one indicated with a square.

The other two angles measuer x and x - 58, and, if we know that they sum 360, we can do an equation.

90 + 90 + x + (x - 58) = 360

122 + 2x = 360

2x = 360 - 122

2x = 238

x = [tex]238/2[/tex]

x = [tex]119[/tex]

Sowe know one angle measueres 119º and the other 61º

Answer: − 10 x + 7.5

Step-by-step explanation:

Answer:

− 10 x + 7.5

Step-by-step explanation:

Hope this helped!

Answer:

x = 65

Step-by-step explanation:

2x - 14 + 64 = 180

2x + 50 = 180

2x = 130

x = 65

Answer:

x=65

Step-by-step explanation:

64+2x-14 = 180

Answer:

In cm 360

In meters 3.6

Step-by-step explanation:

had the same question but had to answer in both and got em right

Answer:

0.0495

Step-by-step explanation:

used a calculator

0.0495.

[tex]495 / 10000 = 0.0495.[/tex]

B)

Answer:

[tex]4x-y=-9[/tex]

Step-by-step explanation:

The standard form of an equation is when both variables, x & y, are on the same side of the equation with a number on the other side.

To transform this equation from slope-intercept form to standard form, just switch sides for the y and the 9 like follows.

[tex]4x-y=-9[/tex]

I hope this helped you :D

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The standard form of the equation y = 4x + 9 is

-4x + y = 9.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 2 is an equation.

2x + 4y + 4 is an equation.

We have,

y = 4x + 9

This is in the slope-intercept form of an equation.

The standard form of an equation is written as:

x + y = c

We need to keep the variable in the equation on one side and a constant on the other side of the equation

Now,

y = 4x + 9

Subtract 4x on both sides.

y - 4x = 4x + 9 -4x

y - 4x = 9

-4x + y = 9

This is in the form of a standard equation.

Thus,

The standard form of the equation y = 4x + 9 is

-4x + y = 9.

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Answer:

-6.34

Step-by-step explanation:

the answer is -6.34

Answer:

35

Step-by-step explanation:

I hope this helps!

Answer:

35

Step-by-step explanation:

Simplify

(-7) X (-5)

Negatives cancel out so its going to be positive

That's how you get 35.

Answer:

The correct result is 2 pounds per quart

Step-by-step explanation:

Dividing Fractions

The division of two fractions \frac{a}{b} and \frac{c}{d} is written as:

[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}[/tex]

This division is usually easier done by multiplying the numerator by the reciprocal of the denominator:

[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot \frac{c}{d}[/tex]

Jessie was dividing these two fractions:

[tex]\displaystyle \frac{\frac{1}{4}\ pounds}{ \frac{1}{8}\ quart}[/tex]

And got the incorrect result

[tex]\displaystyle \frac{1}{32}\ \text{ pound per quart}[/tex]

This mistake was probably the result of multiplying both fractions instead of dividing them.

The correct operation is:

[tex]\displaystyle \frac{\frac{1}{4}}{ \frac{1}{8}}=\frac{1}{4}\cdot \frac{8}{1}=\frac{8}{4}=2[/tex]

The correct result is 2 pounds per quart

Answer:

$30,170.36

Step-by-step explanation:

I'm good at math, and I double checked with someone... I am perfectly sure that $30,170.36 is the answer.

Answer:

A not rational number is called a irrational number btw. Anyway Some examples are √2 and pi.

Answer:

It depends on what digits repeat

Step-by-step explanation:

A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.

For example, let’s have 4/3

When we evaluate this using a calculator, we can see that we have recurring 3 after the decimal point

So 4/3 is actually 1.3333333333333

We can see that based on the number after the decimal point we can convert this to 4/3

Answer

It depends on what digits repeat

Step-by-step explanation:

I hope this helps!

Answer:

hi friend , your answer would be 7/8 x 3  1/4 = 91 /32 in fraction form.

Step-by-step explanation:

so friend here is my explanation :

now you can see you are multiplying with a mixed fraction .

so :

hope this helps , pls mark as brainliest .

The value of 7/8 times 3  [tex]\frac{1}{4}[/tex] is 91 /32.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that the expression is 7/8 times 3  [tex]\frac{1}{4}[/tex].

Here we are multiplying fraction to mixed fraction.

We will convert mixed fraction to improper fraction.

To convert into improper fraction,

we will use the formula;

fractional number = denominator x whole no . part + numerator

numerator part of fractional number = 4 ×3 +1 = 13

Now we have 13/4

Multiply 7/ 8 x 13/4 = 91 / 32

Therefore , the 7/8 times 3  [tex]\frac{1}{4}[/tex] is 91/32.

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Answer:

25.544

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

[tex] \huge {4}^{3}. (3 \sqrt{16} )^{ - 2} \\ \\ = \huge 64. (3 .4 )^{ - 2}\\ \\ = \huge 64. (12)^{ - 2} \\ \\ = \huge \frac{64}{(12)^{ 2}} \\ \\ = \huge \frac{64}{144} \\ \\\huge = \frac{4}{9} \\ \\ \\ \huge( {a}^{5} . {a}^{ - 2} )^{3} \\ \\ = \huge( {a}^{5 - 2} )^{3} \\ \\ = \huge( {a}^{3} )^{3} \\ \\ = \huge{a}^{3 \times 3} \\ \\ = \huge{a}^{9} [/tex]

Answer:

The answer is "150 seconds".

Step-by-step explanation:

[tex]\to distance = 300 \ meter\\\\\to speed = 2 \ \frac{m}{s} \\\\\ formula: \\\\ \bold{speed = \frac{distance}{time}}\\\\[/tex]

[tex]time= \frac{distance}{speed}\\\\[/tex]

        [tex]=\frac{300}{2}\\\\=150 \ seconds[/tex]