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avanturin [10]
3 years ago
12

Nd the value of the expression. Type a numerical answer in the space provided. 4 ∙ 1 - 3^2 ÷ 3

Mathematics
1 answer:
Gemiola [76]3 years ago
4 0
This is a problem of Arithmetic that is a branch of mathematics that consists of the study of numbers. Its main goal is the study of the traditional operations on them just as: <em>addition, subtraction, multiplication and</em><span><em> division</em>. </span>There is an order of operation to solve problems in arithmetic that is the way you choose to simplify expressions. This order is like this:

1. First. Solve Parentheses.
2. Second. Solve Exponents (and root).
3. Third. Solve Multiplication and Division
3. Fourth. Solve addition and subtraction.  

So let's apply these concepts to our problem:

4 \times 1-3^2 \div 3

We don't have parentheses, so let's apply second step:

4 \times 1-9 \div 3

Applying third step:

4-3

Finally, applying fourth step, the result is:

1

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What is an equation of the line that passes through the points (0, -7) and (-8, 3)?
avanturin [10]

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -\frac{5}{4} x-7  

Step-by-step explanation:

1) First, find the slope of the line by using the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(3)-(-7)}{(-8)-(0)}\\m = \frac{3+7}{-8-0} \\m = \frac{10}{-8} \\m = -\frac{5}{4}

So, the slope is -\frac{5}{4}.

2) Now, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. Substitute real values for the m, x_1, and y_1 in the formula.

Since m represents the slope, substitute -\frac{5}{4} in its place. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:

y-(-7) = -\frac{5}{4} (x-(0))\\y + 7 = -\frac{5}{4} x\\y = -\frac{5}{4} x-7

7 0
3 years ago
Solve: 2a-3=9<br> Solve: -3(b+2)= -9
Softa [21]
The Solution are : a=3.
b=1.
3 0
3 years ago
Read 2 more answers
Help me on this please !
inna [77]

Answer:

24.08

Step-by-step explanation:

We use the Pythagorean theorem and we get (16)^2 + (18)^2 = (x)^2

256 + 324 = x^2

x^2 = 580

x is about 24.08.

7 0
3 years ago
Whats the product of (3-2i) and (7+6i)?​
Alona [7]

Answer: the product is = 33+4i

Step-by-step explanation:

21+4i-12i^2

21+4i-12(-1) i^2=-1

21+4i+12

your answer would be 33+4i .

6 0
3 years ago
The sprit club is making school jackets to sell. The cost c (in dollars) for silkscreening supplies and jackets is c=20x+270, wh
lys-0071 [83]

Answer:

The club must sell 18 jackets to break even

Step-by-step explanation:

Given:

C = 20x + 270

Where,

x = number of jackets

Equation for revenue R in terms of the number of jackets

Revenue = price × quantity

Price of the jacket = $35

Quantity of the jacket = x

Revenue = price × quantity

= 35 * x

R = 35x

Break even point is the point at which cost is equal to revenue, that is, no gain; no loss.

Cost = revenue

20x + 270 = 35x

270 = 35x - 20x

270 = 15x

x = 270 / 15

= 18

x = 18 jackets

The club must sell 18 jackets to break even

3 0
3 years ago
Read 2 more answers
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