Rewrite the following equation in standard form.
y = -7x - 1

Answers

Answer 1

Standard form is written Ax + By = C where A, B, and C are all integers.

In other words, no fractions.

Also, the A or the coefficient of the x term must be positive.

The only thing we need to do is add 7x to both sides to get 7x + y = -1.

So 7x + y = -1 is our answer.

Answer 2

Answer: 7x+y=-1

Step-by-step explanation:

Add 7x to both sides


Related Questions

Today I would like for you to work one of the following problems and explain your process/reasoning clearly and thoroughly.

Answers

Answer:

Step-by-step explanation:

A line from the center of the circle to bisect  a chord is perpendicular to the chord.

Therefore, OA⊥ AS

Join O & R

OR is radius of the circle

ΔOAR is right angled triangle.

Use Pythagorean theorem to find OR

OR² = OA² + RA²

       = 3² + 4²

       = 9 +16

OR² = 25

OR = √25

OR = 5 cm

OP  is radius. Therefore, OP = OR = 5 cm

PA = OP + OA

     = 5 + 3

PA = 8 cm

Compute

3/10 + 3/5 - 1/5

Answers

Answer:

7/10

Step-by-step explanation:

3/10 + 3/5 - 1/5

Combine like terms

3/10 + 2/5

Get a common denominator of 10

3/10 + 2/5 * 2/2

3/10 +4/10

7/10

Answer:

7/10

Step-by-step explanation:

You want to first get all common denominators, in this case that will be 10.

It is now (3/10)+(6/10)-(2/10)

3+6-2=7

7/10

Keith's height and his nephews height was at a ratio of 15:7 then, keith's Height increased by 16% and his nephews height doubled. If Keith is now 34cm taller than his nephew, what is their total current height?

Answers

Answer:

314 cm

Step-by-step explanation:

If Keith's height is 15x and his nephew's height is 7x, we can write the following equation:

1.16 * 15x = 34 + 7x * 2 -- (We get the 1.16 from the 16% increase)

17.4x = 34 + 14x

3.4x = 34

x = 10 so Keith's current height is 1.16 * 15 * 10 = 174 cm and his nephew's height is 174 - 34 = 140 cm for a total current height of 174 + 140 = 314 cm.

Help fast please!! Which expression is equivalent to..

Answers

Answer:

1/8 = 2³ * 2⁻⁶

Step-by-step explanation:

2³ * 2⁻⁶ = 2³⁻⁶ = 2⁻³ = 1/2³ = 1/(2*2*2) = 1/8

what is 1/2(10x +20y +10z) using the distributive property? also as an equivalent expression?

Answers

Answer:

5x+10y+5z.

Step-by-step explanation:

The given expression is

[tex]\dfrac{1}{2}(10x+20y+10z)[/tex]

We need to find the equivalent expression by using the distributive property.

By using the distributive property, the given expression can be written as

[tex]\dfrac{1}{2}(10x+20y+10z)=\dfrac{1}{2}(10x)+\dfrac{1}{2}(20y)+\dfrac{1}{2}(10z)[/tex]

[tex]=5x+10y+5z[/tex]

Therefore, the required expression is 5x+10y+5z.

Which operation involving complex numbers requires the use of a conjugate to be carried​ out?

Answers

Answer:

The correct answer will be "Division".

Step-by-step explanation:

The procedure represents numerous values requiring something like a conjugate to have been done becomes division, since the denominator conjugate multiplies the numeric values including its quotient to represent the quotient of several complex numbers throughout the standard language.It is indeed a method used to separate a set of items across equal proportions.

Two co-interior angles
formed between the
two parallel lines are in the ratio of 11.7.
Find the measures
of angles

Answers

Answer:

110° and 70°

Step-by-step explanation:

The angles are supplementary, thus sum to 180°

sum the parts of the ratio, 11 + 7 = 18

divide 180° by 18 to find the value of one part of the ratio

180° ÷ 18 = 10° ← value of 1 part of the ratio

Thus

11 parts = 11× 10° = 110°

7 parts = 7 × 10° = 70°

The angles are 110° and 70°

factories each of the following −2x2 −20x −18

Answers

Answer:

2(x + 9)(x + 1)

Step-by-step explanation:

First, take out a GCF if possible. Each coefficient is dividable by 2, so 2 is the GCF.

-2(x^2 + 10x + 9)

The main quadratic equation is equal to ax^2 + bx + c.

Then, use a factoring pattern to factor the expression in parentheses. The factors of C that add up to equal B are the two factors.

2(x + 9)(x + 1)

The expression cannot be factored any further.

In a mathematics class, half of the students scored 89 on an achievement test. With the exception of a few students who scored 48, the remaining students scored 79. Which of the following statements is true about the distribution of scores?
A. The mean is less than the median.
B. The mean and the median are the same.
C. The mean is greater than the mode.
D. The mean is greater than the median.

Answers

Answer:

A. The mean is less than the median.

Step-by-step explanation:

Half the students scored 89.  The next highest score is 79.  So the median is (79 + 89) / 2 = 84.

A few students scored 48, so the mean is slightly lower than the mean of 79 and 89.

Therefore, the mean is less than the median.

Answer:

A. The mean is less than the median.

Step-by-step explanation:

Say that half the students answered 79, and the rest 89.

We'd have a distribution something like this:

79 79 79  89 89 89

The median is in the smack middle. Since we have an even number of scores, the median would be the number between the 2 middle numbers. Here, that's 79 and 89. Thus, the median is 84.

The mean is the "average" of all values. Since we have an equal number of 79s to 89s, the mean would also be in the middle of those values (balancing an equal number on both sides). So, the mean would also be 84.

HOWEVER, we have an unspecified number of 48's.

The distribution looks something like

48 79 79 89 89 89

The median is still the same, smack middle between the 2 values in the middle. 84.

But the mean has changed. We have smaller values on the left. The mean is brought down by these 48 values. It doesn't matter how many, the fact that we have at least 1 will bring the mean, the average, down.

What am I supposed to do when parentheses are side by side like this?

Answers

Answer:

Evaluate each expression inside both grouping symbols, then multiply the result.

Step-by-step explanation:

[tex]\displaystyle (3 - 1)(4 + 2) = (2)(6) = 12[/tex]

G - Grouping Symbols

E - Exponents

M\D - Division & Multiplication [left to right]

S\A - Subtraction & Addition [right to left OR vice versa]

I am joyous to assist you at any time.

Consider these three numbers written in scientific notation: 6.5 × 103, 5.5 × 105, and 1.1 × 103. Which number is the greatest, and by how many times is it greater than the smallest number?

Answers

Answer:

6.5×10'3=6,500.

5.5×10'5=550,000

1.1×10'3=1,100

so as u can see the second number is greater

by 548,900

Answer:C

Step-by-step explanation: 5.5 is 500 times better than 1.1 I did the math.

5.5 x 10^5 = 550,000

1.1 x 10^3 = 1,100

500 times greater

Set A={XIX is an even whole number between 0 and 2) = 0
True? or false?​

Answers

false

Step-by-step explanation:

false

dy
If x= 15t2 and y= 10t2, find
dx

Answers

Answer: x' = 30t

              y' = 20t

Step-by-step explanation:

To find the derivative, multiply the exponent to the leading coefficient and decrease the exponent by 1.

x = 15t²

x' = 2 · 15t²⁻¹

  = 30t¹

  = 30t

y = 10t²

y' = 2 · 10t²⁻¹

   = 20t¹

   = 20t

Think about the proportion and the cross products for this problem: Shelley sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. Because the cross products are equal, which statements are true? Select all that apply.

Answers

3×4·20 equals to 12.6 please thats youre awnser

Answer:

The ratios are equivalent.  

The ratios are a proportion.

Step-by-step explanation:

 

What’s the difference between rational and irrational numbers?

Answers

Answer:

rational numbers are perfect squares irrational numbers are non terminating/go on forever

Step-by-step explanation:

in a group of 240 game lovers, 135 like cricket and 120 like football.
find:How many people like both the game?

Answers

Answer:

15

Step-by-step explanation:

120+135= 255

255 is 15 more than 240.

15 people enjoy both games.

The sum of two consecutive odd integers is at least 36, find the integers

Answers

Answer:

The two integers are greater than or equal to 17 and 19

Step-by-step explanation:

Consecutive odd integers means 1, 3, 5, 7, 9 and so on

That means there is a always a gap of 2 in between each of them. Knowing this, we can set up an equation. Let x represent the first of the consecutive integers.

x+(x+2)=36

x+2 represents the second consecutive interger

x+x=34

2x=34

x=17

The two integers are 17 and 19

The sum of 3 consecutive even numbers is 132

pleaase help!!!

Answers

Answer:

42,44,46

Step-by-step explanation:

we first divide the 132 by the 3 which gives 44

since the numbers involved are even numbers and we know even numbers are numbers divisible by 2 we subtract 2 from the 44 and also add 2 to the 44 the get the rest of the two numbers which is from the above explanation

(44-2),44,(44+2)

42,44,46

we can check whether the above numbers are correct by adding to see whether we get 132

42+44+46=132 which are consecutive even numbers

Answer: 42, 44, and 46

Explanation: Make sure you read through the problem carefully so that you recognize that we are dealing with consecutive even numbers here.

So we can represent our numbers as follows.

X ⇒ first even integer

X + 2 ⇒ second even integer

X + 4 ⇒ third even integer

Since their sum is 132, our equation reads x + (x + 2) + (x + 4) = 132.

Solving from here, we find that x = 42.

So x + 2 is 44 and x + 4 is 46.

HELP ME PLZZzzzzzzzz​

Answers

Answer:

5 cm

Step-by-step explanation:

The volume (V) of milk in the container is calculated as

V = 8 × 15 × 12 = 480 cm³

After change of position with depth d then

8 × 15 × d = 480

120d = 480 ( divide both sides by 120 )

d = 4 cm

Write an equation for a line on the graph that passes through the points (0.4) and (12,16)

Answers

Answer:

[tex] y = x + 4 [/tex]

Step-by-step explanation:

Use the two-point form of the equation of a line.

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

[tex] y - 4 = \dfrac{16 - 4}{12 - 0}(x - 0) [/tex]

[tex] y - 4 = \dfrac{12}{12}x [/tex]

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

[tex] y = x + 4 [/tex]

Answer:

y = x + 4

Step-by-step explanation:

An equation for a line looks like:

=> y = mx +b

=> In this equation "m" is the slope.

=> "b" is the y-intercept.

To find the slope:

=> y/x - y1/x1

=> 16/12 - 4/0

=> 16 -4 / 12 - 0

=> 12 / 12

=> 1

So, the slope is 1.

Now our equation looks like:

y = 1x + b

=> y = x + b

Let's take some the values of "x" and "y"  of (0,4)

So, our now look like:

=> 4 = 1 (0) + b

=> 4 = b

So, b (y-intercept) = 4

Now, our final equation is:

=> y = x + 4

1. Draw the graph of f(x) = cos x for 0 I know how to construct the graph but I don’t know how to get the figures. Please help

Answers

Answer:

Please refer to the attached figure.

Step-by-step explanation:

Given the function:

[tex]f(x) =cosx \ where\ \{0^\circ\leq x\leq 360^\circ\}[/tex]

OR, the given function can also be written as:

[tex]y = f(x) = cosx[/tex]

We know that graph of cosine is a wave.

and the range of cosine function is [-1, 1]

First of all, let us have a table of values at major values of x.

[tex]x = 0, f(x) = 1\\x = 90, f(x) = 0\\x = 180, f(x) = -1\\x = 270, f(x) = 0\\x = 360, f(x) = 1[/tex]

So, the table of values for f(x) is:

[tex]\begin{center}\begin{tabular}{ c c }x & cosx \\0 & 1 \\90 & 0\\180 & -1\\270 & 0\\360 & 1\\\end{tabular}\end{center}[/tex]

Let us mark these points on the xy coordinate axis where x axis represents value of x and y axis represents value of [tex]f(x) = cosx[/tex] and then join the points using a wave.

Please refer to the attached graph for the answer image.

A laptop has a listed price of $703.98 before tax. If the sales tax rate is 9.25% , find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

The cost of the laptop is $769.10

Step-by-step explanation:

In this problem we are required to find the cost of the laptop when 9.25% of the cost is added as tax

we are given that the tax rate is 9.25% of the initial cost

and the initial cost is $703.98

 let us calculate 9.25% of  $703.98

(9.25/100)* 703.98= 0.0925*703.98= $65.12

Hence the charges for tax is $65.12

The total cost of the laptop when tax is included is

the initial cost Plus the tax charges= $703.98+$65.12= $769.098

$769.10

Convert each number to scientific notation or standard notation.


1.0395 × 10^9

4 × 10^2

Answers

Answer:

1)1,0395x10^9

2)its already in scientific notation?

If you write it in standard notation, which is actually just regular notations it's 400.

Step-by-step explanation:

Scientific notation can be used to represent very large or small numbers. A number written in scientific notation will have one non-zero digit to the left of the decimal point, multiplied by a power of  10 , with the power corresponding to the amount of places the decimal should move.

What are the lower quartile, upper quartile, and median for this box and
whisker plot?

A) LQ = 22 UQ = 10 Median = 18.5

B) LQ = 10 UQ = 22 Median = 18

C) LQ = 10 UQ = 22 Median = 18.5

D) LQ = 10 UQ = 22 Median = 19​

Answers

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The lower quartile range is shown by the bottom of the box which is at 10.

The median is shown in the middle line, which is closer to 18 than 18.5.

The upper quartile range in the end of the box, which is at 22!

(You can also look at the picture attached if that helps.)

jacob received $500 for christmas from his parents, he wants to put it into an account that will pay him 7.75% interest each year. if he wants to withdraw all his funds at the end of the year. how much will he withdraw

Answers

Answer:

He will have $538.75 after one year.

Step-by-step explanation:

First we need to find how much is 7.75% of 500. We can find it by multiplying 500 x .0775

This equals 38.75

That means after one year, he has $38.75 more.

500+38.75=538.75

He will have $538.75 after one year.

4x +16 x+4
Simplify your answer as much as possible.

Answers

Answer:

20x+4

Step-by-step explanation:

Begin with adding like terms.
The like terms here are 4x and 16x .
This will give us the answer 20x.
As there is no other like term for 4, we just add it in 20x.


This gives us the final answer of 20x+4.

Thankssssss :)))))))


Find the circumference and the area of a circle with diameter 2 cm.
Use the value 3.14 for pie, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

Hey There!! The question to this is: The circumference and the area of the circle are 6.28 yards and 3.14 yd² respectively. The Circumference: This is defined as the distance around a circle.

The circumference of a circle is

P = πd............................. Equation 1

Where p = circumference of the circle, d = diameter of the circle

Area: This is the region bounded by a plane surface.

The area of a circle is

A = πd²/4 .................................. Equation 2

Where A = area of the circle, π = pie = constant.

Given: d = 2 yd.

Constant: π = 3.14

Substituting these values into equation 1 and 2 respectively.

P = 3.14(2)

P = 6.28 yard.

P = 6.28 yd

and

A = 3.14(2)²/4

A = 3.14×4/4

A = 3.14 yd²

Thus the circumference and the area of the circle are 6.28 yards and 3.14 yd² respectively.

Hope This Helped!~ ♡

ItsNobody~ ☆

what is the no solution, the one solution, and the infinitely many solution of 2x+5+2x+3x

Answers

Answer:

This problem shows an expression, not an equation.

It cannot be solved.

An equation needs an equal sign.

The table shows the number of balls, by sport, in the gym. Select the true statements about the information in the table.

Answers

Answer:

Soccer you use the lease amount of balls and in tennis you use the most

what is the reciprical of 4/7?

Answers

Answer:

7/4

Step-by-step explanation:

To find the reciprocal of 4/7, flip the fraction.

The numerator goes in the denominator and the denominator goes in the numerator

7/4

Answer:

7/4

Step-by-step explanation:

Keep it, change it, flip it.

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