What is the rate of change of the following equation?
y = 4x - 3

The estimated sum of 9 5/9 and 3 2/5 is approximately 13, the difference is approximately 5.84, the product is approximately 32.49, and the quotient is approximately 2.82.

To estimate the sum, difference, product, and quotient of 9 5/9 and 3 2/5, we can convert the mixed numbers into improper fractions for easier calculations.

First, let's convert 9 5/9 into an improper fraction:

9 5/9 = (9 * 9 + 5) / 9 = 86/9

Next, let's convert 3 2/5 into an improper fraction:

3 2/5 = (3 * 5 + 2) / 5 = 17/5

Now, we can perform the calculations:

Sum:

86/9 + 17/5 = (86 * 5 + 17 * 9) / (9 * 5) = 590/45

Difference:

86/9 - 17/5 = (86 * 5 - 17 * 9) / (9 * 5) = 263/45

Product:

(86/9) * (17/5) = (86 * 17) / (9 * 5) = 1462/45

Quotient:

(86/9) / (17/5) = (86 * 5) / (9 * 17) = 430/153

To simplify the fractions and estimate the results, we can approximate them to the nearest whole number or decimal:

Sum ≈ 13

Difference ≈ 5.84

Product ≈ 32.49

Quotient ≈ 2.82

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Answer:

From the table, we observe that the domain of the function is {Mon, Tues, Wed, Thurs, Fri} and the range is {1, 2, 3, 4, 0}

So, S(Mon) = 1

S(Tues) = 2

S(Wed) = 3

S(Thurs) = 4

S(Fri) = 0

Hence,

Step-by-step explanation:

Answer:

Her total pay is 2,887.50 since she did not make over 4000$ she will not receive the extra 500$ bonus

Step-by-step explanation:

82,500 X 3.5% = 2,887.50

Answer:

Answer:

multiply (x+4) and (x+11);(x+7) and (x+8) separately,then u'll get x2+ 15x as common .

Step-by-step explanation:

Answer:

[tex]8.107 = 8 \times 107 = 856[/tex]

Point A is located identifying the domain value of 1 and the range value of 2. Point B is located identifying the domain value of 3 and the range value of 1.

These points can be used to form a fraction, or ratio, representing the slope of a line. By using this ratio and the intercept, we can write the equation of the line.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The two points for this problem are given as follows:

A(1, 2) and B(3, 1).

When x increases by 2, y decays by 1, hence the slope m is given as follows:

m = -1/2

m = -0.5.

Hence:

y = -0.5x + b.

When x = 1, y = 2, hence the intercept b is given as follows:

2 = -0.5 + b

b = 2.5.

Hence the equation is:

y = -0.5x + 2.5.

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Answer:

71, 72, 73, 74 . for details, check below

Step-by-step explanation:

a)  Let's assume that among the four consecutive numbers, the first one is x,

so, the four consecutive numbers should be:

According to the question,

(x) + (x + 1) + (x + 2) + (x + 3) = 290

(x) + (x + 1) + (x + 2) + (x + 3) = 290

4x + 6 = 290

4x = 284

x = 284÷ 4

x = 71.

So, the numbers are,

71, 72, 73, 74

Answer:

[tex]d=11[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in your 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(5-(-6))^2+(-4-(-4))^2}[/tex]

[tex]d=\sqrt{(5+6)^2+(-4+4)^2}[/tex]

[tex]d=\sqrt{(11)^2+(0)^2}[/tex]

[tex]d=\sqrt{121+0}[/tex]

[tex]d=\sqrt{121}[/tex]

[tex]d=11[/tex]

Answer:

3x + x ≠ 90

4x = 90

x = 22.5

Y + y = 90

2y = 90

Y = 45

The angle 6 and 5 I don't understand the question. Thank you and please rate me as brainliest.

Answer: 2.5 I think

Step-by-step explanation:

-2x+3<5

      -3 -3. Take -3 from both sides

2x < 5 divide by 2

x < 2.5

Hope this helps

Answer:

Step-by-step explanation:

560=3s+b

b.

560=3×150+b

b=560-450=110

when s=149,b=560-3×149=560-447=113

s=2,b=560-3×2=560-6=554

s=1,b=560-3×1=557

s=0,b=560-3×o=560

so domain of b={110,113,116,...,554,557,560}

Answer:

Step-by-step explanation:

1. use distribution factor

(4x+3)(24+5x)

4x times 24 = 96

4x times 5x = 20x

3 times 24 = 72

3 times 5x = 15x

2. combine like terms

96 + 72 = 168

15x + 20x = 35x

35x + 168 or 168 + 35x

I may be wrong please check my answer. I may have a lapse in my algebra, or I may have misunderstood the problem. But this is what I can give you to the best of my knowledge.

Answer:

x = 3.4

Step-by-step explanation:

Step 1: Write equation

10x - 4.5 + 3x = 12x - 1.1

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

10(3.4) - 4.5 + 3(3.4) = 12(3.4) - 1.1

34 - 4.5 + 10.2 = 40.8 - 1.1

29.5 + 10.2 = 39.7

39.7 = 39.7

Answer:

1.375

Step-by-step explanation:

The number of pounds of fruit Cameron have in all is [tex]1\frac{3}{8}[/tex] pounds.

To add fractions there are three simple steps:

Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator.

Step 3: Simplify the fraction (if possible)

Given that, Cameron has 3/4 pound of raspberries, 1/8 pound of blueberries, and 1/2 pound of blackberries to make a frit salad.

Now, the number of pounds of fruit Cameron have in all

= 3/4 + 1/8 + 1/2

= 6/8 +1/8 +4/8

= (6+1+4)/8

= 11/8

= [tex]1\frac{3}{8}[/tex] pounds

Therefore, the number of pounds of fruit Cameron have in all is [tex]1\frac{3}{8}[/tex] pounds.

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Answer:

X=11

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

3x−5−2x=2x+6−2x

x−5=6

Step 2: Add 5 to both sides.

x−5+5=6+5

x=11

Hoped  I helped-

Sleepy~

The value of x from the given equation is 11.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3x-5 = 2x + 6.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 3x-5=2x+6

3x-2x=6+5

x=11

Therefore, the value of x from the given equation is 11.

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Answer:

this figure regular hexagon have rotation symmetry. The order is 6 and the degrees is 120

Answer:  

Step-by-step explanation:

Answer:

Bruh, easy. Divide -4 by 2 and you get -2. So, x = -2.

Why you not know that?!

Answer:

x = -2

Step-by-step explanation:

2x = -4 ( divide by 2)

x = -2

The class boundaries midpoint and width are 128 and 16

from the question, we have the following parameters that can be used in our computation:

120 - 136

The class boundaries midpont is calculated as

Midpoint = (120 - 0.5 + 136 + 0.5)/2

Evaluate

Midpoint = 128

For the width, we have

Width = 136 - 120

Width = 16

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Step-by-step explanation:

6 1/5 divided by 2/3 = 18 3/5

The quadratic equation [tex]2 - 2x + x^2 = -3[/tex] in standard form is: [tex]x^2 - 2x + 5 = 0[/tex]

To write the quadratic equation[tex]2 - 2x + x^2 = -3[/tex] in standard form, we need to rearrange the terms such that the polynomial appears in the form:

ax^2 + bx + c = 0

where a, b, and c are constants.

First, we can simplify the left-hand side by rearranging the terms:

x^2 - 2x + 2 = -3

Next, we can add 3 to both sides of the equation to isolate the quadratic terms on the left-hand side:

x^2 - 2x + 5 = 0

Now we have the quadratic equation in standard form, where:

a = 1 (the coefficient of x^2)

b = -2 (the coefficient of x)

c = 5

This form makes it easier to analyze the properties and behaviour of the quadratic function and to solve for its roots or solutions using various methods like factoring, completing the square or quadratic formula.

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Answer:

3 ± i sqrt( 7)

-------------------------------

      4

Step-by-step explanation:

2x^2+2=3x

Subtract 3x from each side

2x^2 -3x+2=0

Using the quadratic formula

-b ± sqrt( b^2 -4ac)

-------------------------------

      2a

a =2  b = -3   c =2

-(-3) ± sqrt( (-3)^2 -4*2*2)

-------------------------------

      2*2

3 ± sqrt( 9 - 16)

-------------------------------

      4

3 ± sqrt( -7)

-------------------------------

      4

sqrt(-7) = sqrt(-1) sqrt(7) = i sqrt(7)

3 ± i sqrt( 7)

-------------------------------

      4

Answer:

Improper fraction form:103/72 Mixed number form: 1 32/72 Decimal form: 1.4035 with 5 repeating

Step-by-step explanation:

The graph of the inequality 5x + 4y ≥ 2 is a solid line with a slope of -5/4 passing through (0, 1/2), and the region above the line is shaded.

The graph of the inequality 5x + 4y ≥ 2 represents a region in the coordinate plane.

To determine the graph, we need to convert the inequality into slope-intercept form, which is in the form y = mx + b.

Let's solve the inequality for y:

5x + 4y ≥ 2

First, subtract 5x from both sides:

4y ≥ -5x + 2

Next, divide both sides by 4 to isolate y:

y ≥ (-5/4)x + 1/2.

Now we have the inequality in slope-intercept form.

The slope is -5/4, and the y-intercept is 1/2.

To graph this inequality, we draw a solid line with a slope of -5/4 passing through the point (0, 1/2).

Since the inequality is greater than or equal to, the line itself is included in the solution.

After drawing the line, we shade the region above the line because any point in that region will satisfy the inequality.

This is because any y-value greater than or equal to the y-values on the line will make the inequality true.

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Answer:

total paper= 24 2/³

Step-by-step explanation:

all you have to do is LCM

Answer:

it is B. 53

Step-by-step explanation:

Answer:

The answer is 53

Step-by-step explanation:

I learned about it.

Answer:

5:13

Step-by-step explanation: