If 6times a number is added to -3, then the results is equal to 9 times the number. Find the number

Answers

Answer 1

To determine the missing number:

[tex]\text{Let the missing number = x}[/tex][tex]\begin{gathered} 6\text{ times a number = 6x} \\ 6x+(-3)=9x \\ 6x-3=9x \end{gathered}[/tex]

collect like terms

[tex]\begin{gathered} 6x-9x=3 \\ -3x=3 \\ \text{divide both side by -3} \\ -\frac{3x}{-3}=\frac{3}{-3} \\ x=-1 \end{gathered}[/tex]

Therefore the missing number = -1

Related Questions

find all real and complex zeros for f(x)=x^3-x^2+3x-3

Answers

The real and complex zeros for the function given as .f(x) = x³ - x² + 3x - 3 are x = 1 and x = ±i√3, respectively

How to determine the zeros of the function?

The equation of the function is given as

f(x) = x³ - x² + 3x - 3

Group the terms of the function in two's

So, we have the equation

f(x) = (x³ - x²) + (3x - 3)

Factor each group in the function

f(x) = x²(x - 1) + 3(x - 1)

Factor out x - 1

f(x) = (x² + 3)(x - 1)

Set to 0

(x² + 3)(x - 1) = 0

This gives

x² = - 3 and x = 1

Evaluate the roots

x = ±i√3 and x = 1

Hence, the zeros of the equation are x = ±i√3 and x = 1

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12. The perimeter of a triangle with sides 5x-1, 5x-1, 2.2x +10, and the perimeter of a square with a side length of 6.5x -11.8 are the same. What is the value of x?

Answers

The value of x is 4.

The perimeter of any shape is the sum of lengths of all its sides.

We are provided with the sides of triangle i.e., 5x-1, 5x-1 and 2.2x +10.

So, The perimeter of a triangle = sum of length of all three sides = (5x-1) + (5x-1) + (2.2x +10)

The perimeter of a triangle = 12.2x + 8 equation 1

Also, we are provided with the side of square i.e., 6.5x -11.8.

The perimeter of a square = 4 (side) = 4 (6.5x - 11.8)

The perimeter of a square = 26x - 47.2 equation 2

As per question,

Perimeter of a triangle = Perimeter of a square

12.2x + 8 = 26x - 47.2

13.8x = 55.2

x = 4

So we can write, the value of x is 4.

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1. Write the regression2.r =3. what does the r mean?I predict there will be a [blank] relationship between [blank] and [blank] I think it’s because [blank] and I’m gonna send a photo about my graphing points

Answers

First of all, we have to find the mean of x values.

According to the given graph, the x values are: 0, 1, 2, 2, 3, 3, 4, 5, 6, 7.

So, the mean is

[tex]\bar{x}=\frac{0+1+2+2+3+3+4+5+6+7}{10}=\frac{33}{10}=3.3[/tex]

The mean of x values is 3.3.

The y values are: 2, 2, 3, 4, 4, 4, 5, 6, 8, 9.

The mean would be

[tex]\bar{y}=\frac{2+2+3+4+4+4+5+6+8+9}{10}=\frac{44}{10}=4.4[/tex]

The mean of y values is 4.4.

Now, we find the standard deviation for x values and y values.

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If a ball is thrown directly upward with a velocity of 88 ft/s, its height (in feet) after t seconds is
given by y = 88t - 16t².
When does the ball reach its maximum height? (Round to two decimal places)

Answers

If a ball is thrown directly upward with a velocity of 88 ft/s, its height (in feet) after t seconds is given by y = 88t - 16t².The ball will reach its maximum height at 121 feet.

Maximum height

Given equation:

y = 88t - 16t²

Maximum height dy/dt = 0

88-32t = 0

32t = 88

t = 88/32sec

t = 2.75sec

Hence,

Maximum height attained by the ball :

Maximum height attained by the ball = 88(2.75)-16(2.75)²

Maximum height attained by the ball = 242 - 121

Maximum height attained by the ball = 121 feet

Therefore the maximum height is 121 feet.

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y= −2x+8
x-intercept:
Enter as a coordinate: such as
(a,b)
y
-intercept:
Enter as a coordinate: such as
(a,b)

Answers

For given equation y = -2x + 8, the x-intercept is (4, 0) and the y-intercept is (0, 8)

In this question, we have been given an equation y = -2x + 8

We need to find the x-intercept and y-intercept. Also, we need to write it as a coordinate (a, b)

To find the x-intercept we need to substitute y = 0 in the above equation.

0 = -2x + 8

2x = 8

x = 4

So, the x-intercept is (4, 0)

To find the y-intercept we need to substitute x = 0 in the above equation.

y = -2(0) + 8

y = 0 + 8

y = 8

So, the y-intercept is (0, 8)

Therefore, for given equation y = -2x + 8, the x-intercept is (4, 0) and the y-intercept is (0, 8)

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a student has 200 Naira if someone gives her 160 Naira how much will she have if someone gives her x Naira how much would she have

Answers

Answer:

360 naira hope it will be helpful

Step-by-step explanation:

The equation for the line that has a slope of -3/8 and passes through (0, 10) is: y = -3/8x + 10 : y = 3/8 x - 10

Answers

The standard form of expression equation of a straight line is;

[tex]y\text{ = mx+c}[/tex]

where;

m is the slope

c is the intercept

Given

slope m = -3/8

Next is for us to get the y- intercept of the line. This is done by subtituting the slope and the point (0,10) given into the equation y = mx+c and calculating c as shown;

[tex]\begin{gathered} y\text{ = mx+c} \\ 10\text{ = -3/8(0)+c} \\ 10\text{ = 0+c} \\ c\text{ = 10} \end{gathered}[/tex]

Next is to get the equation of the line by substituting m = -3.8 and c= 10 into the standard form of the equation as shown;

[tex]\begin{gathered} y\text{ = mx+c} \\ y\text{ = -}\frac{3}{8}x+10 \end{gathered}[/tex]

Hence the first option is correct

Find the equation for the circle with a diameter whose endpoints are (5,5) and (3,−5).

Answers

The equation of the circle in standard form whose center is at (h, k) = (4, 0) is (x - 4)² + y² = 26.

How to derive the standard equation of the circle based on the coordinates of diameter endpoints

In this question we find the coordinates of the endpoints of the diameter of the circle, then, the center of the circle is the midpoint of the line segment. The center of the circle is found by midpoint formula:

(h, k) = 0.5 · (5, 5) + 0.5 · (3, - 5)

(h, k) = (4, 0)

And the radius of the circle is determined by Pythagorean theorem:

r = √[(4 - 5)² + (0 - 5)²]

r = √[(- 1)² + (- 5)²]

r = √26

Then, the equation of the circle in standard form is describe below:

(x - h)² + (y - k)² = r²

If we know that (h, k) = (4, 0) and r = √26, then the equation of the circle is:

(x - 4)² + y² = 26

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Sarah enrolled $10,000 worth of debt with National Debt Relief. We negotiated with the creditors and reduced the debt by 50%. Sarah’s fee for our services was 25% of the enrolled debt ($10,000). How much did Sarah end up saving after reducing her debt and paying us our fee?*

Answers

Answer:

7500$

Step-by-step explanation:

What is a different common Denominator you could use in problem 2

Answers

Answer:

what is the problem ???

Step-by-step explanation:

Well we need problem 2 to know the answer

Classify the following functions as growth or decay: f(x) = 10 (6/7)^x, g(x)= 1/3e^x, h(x)=5e^-x, k(x)= -10(6/7)^x

Answers

It is known that any exponential function with the form f(x)=a^x is an increasing function while a function of the form g(x)=a^(-x) is a decreasing function.

Furthermore, it a function h(x) is increasing, then the function -h(x) is decreasing. By analogy, if a function k(x) is decreasing, then -k(x) is increasing.

Now let's analyze the functions from the problem.

[tex]\text{ Let }f(x)=10\cdot(\frac{6}{7})^x[/tex]

Since (6/7)^x is increasing and the multiplying factor of 10 is positive, then the function f(x) is also increasing.

Use these rules to find whether each function is increasing or decreasing.

Remember that increasing functions are used to represent growth while decreasing functions are used to represent decay.

the original price of an article was 240.00. The price is increased by 12½%. The new price of the article is?

Answers

Answer:

The new price of the article is $270

Step-by-step explanation:

270-240/240

x 100% = 12.5%

12.5x240/100

= 30

hot-air balloon is floating above a straight road. To calculate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be 26∘ and 30∘.
How high (in feet) is the ballon?

Answers

The height of balloon is 1.99 miles above the ground.

What is angle of depression ?

In the event when the line of sight is directed downhill from the horizontal line, an angle is created with it. Angle of depression is the angle produced between the horizontal line and the observer's line of sight when the object being observed is below the level of the observer.

Let's give the balloon's height above the earth and the distance it is from the first milepost horizontally a name.

We can state the following if the angle of this milepost's depression is 24 degrees:

Tan(24)=[tex]\frac{h}{b}[/tex]

b = [tex]\frac{h}{tan(24)}[/tex]

We can state the following for the following milepost as there will be (b+1)miles horizontal distance of and a 20 degree depression at that location.

tan(20)=[tex]\frac{h}{b+1}[/tex]

b +1 = [tex]\frac{h}{tan(20)}[/tex]

Therefore, substituting equation 1

[tex]\frac{h}{tan(24)}[/tex] = [tex]\frac{h}{tan(20)} -1[/tex]

1 = [tex]\frac{h}{tan(20)}[/tex] - [tex]\frac{h}{tan(24)}[/tex]

1 = h× ( [tex]\frac{h}{tan(20)}[/tex] - [tex]\frac{h}{tan(24)}[/tex] )

h = 1.99 miles

Consequently, the height of balloon is 1.99 miles above the ground.

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Scott is a software salesman. His base salary is $2500, and he makes an additional $80 for every copy of English is Fun he sells.Let P represent his total pay (in dollars), and let N represent the number of copies of English is Fun he sells. Write an equation relating P to N. Then use this equation to find his total pay if he sells 28 copies of English is Fun.

Answers

SOLUTION

Given the question in the question tab, the following are the solution steps to get the equation

Step 1: Represent the statement using mathematical notation

Base salary is $2500 (Base salary is constant since it does not change)

P represent his total pay (in dollars)

N represent the number of copies of English is Fun he sells

price made per copy of the product is $80

The equation relating P to N will be written as:

[tex]P=2500+80N[/tex]

Part B: Using this equation in step 1 above to find his total pay if he sells 28 copies of English is Fun

[tex]\begin{gathered} P=2500+80N \\ N=28 \\ P=2500+80(28) \\ P=2500+2240 \\ P=\text{\$}4740 \end{gathered}[/tex]

Hence, his total pay if he sells 28 copies of English is Fun is $4740

7. On February 12th, a fire occurred at a local dry cleaning plant and the inpatient service days for the localhospital (120 beds) was reported to be 130. What is the bed occupancy rate for February 12th? Round toone decimal place.

Answers

We can use the following formula:

[tex]_{\text{ }}Bed_{\text{ }}occupancy_{\text{ }}rate=\frac{\#_{\text{ }}of_{\text{ }}inpatient_{\text{ }}days_{\text{ }}for_{\text{ }}a_{\text{ }}given_{\text{ }}period}{_{\text{ }}avalaible_{\text{ }}beds\times\#_{\text{ }}days_{\text{ }}in_{\text{ }}the_{\text{ }}period}_{}\times100[/tex]

So:

[tex]_{\text{ }}Bed_{\text{ }}occupancy_{\text{ }}rate=\frac{130}{120\cdot365}\times100[/tex]

Answer:

0.3%

Rewrite the equation in Ax+By=C form. Use integers for A, B, and C. y=-1/6x+3

Answers

The equation y = - 1 / 6 x + 3 in standard form is x + 6y = 18.

How to rewrite equation in standard form?

The standard form for linear equations in two variables is Ax + By = C.

where

A , B and C are constantx and y are the independent and dependent variables respectively

Therefore, let's represent the equation y = - 1 / 6 x + 3 in standard form .

y = - 1 / 6 x + 3

multiply the equation by 6 to eliminate the fraction

6y = 6(- 1 / 6 x) + 6(3)

Therefore,

6y = - x + 18

x + 6y = 18

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Horatio left a campsite, hiking at a rate of 1 mile per hour. Ivan left 3 hours later, hiking at a rate of 2 miles per hour. How long will it take Ivan to catch up to Horatio?

Answers

Ivan will catch up to Horatio in 3 hours .

In the question ,

it is given that

speed of Horatio is 1 miles per hour

speed of Ivan is 2 miles per hour .

and Ivan leaves 3 hours late than Horatio .

Let "t" be the time ( in hours ) taken for Ivan to meet Horatio ,

So, the distance covered by Ivan will be 2*t .

Since Horatio left 3 hours before so the time taken for Horatio to meet Ivan is (t+3).

So, the distance covered by Horatio will be 1*(t+3) .

The distance covered for Horatio and Ivan will be equal ,

which means

2*t = 1*(t+3)

2t = t + 3

2t - t = 3

t = 3

Therefore , Ivan will catch up to Horatio in 3 hours .

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Solve the equation for x.
6(x + 3) - 8 = 4x + 2(4 + x)

Answers

===============================Solve the Equation - Solution and Explanation===============================

Hello! So...

We are given the following to solve:

Solve for x.

[tex]6(x+3)-8=4x+2(4+x)[/tex]

_______________________________________________________

1. Expand both sides of the equation.

[tex]6(x+3)-8=6x+10[/tex]

[tex]4x+2(4+x)=6x+8[/tex]

[tex]6x+10=6x+8[/tex]

______________________________

2. Subtract 10 from both sides.

[tex]6x+10-10=6x+8-10[/tex]

_______________________________

3. Simplify.

[tex]6x=6x - 2[/tex]

_______________________________

4. Subtract 6x from both sides.

[tex]6x-6x=6x-2-6x[/tex]

_______________________________

5. Simplify.

[tex]0=-2[/tex]

^Notice, the sides are not equal in the solution. This being said, there would be no solution.

___________________________________________________

Hope this helps! If you need anything else, feel free to comment below. Thanks and good luck!

[tex]3-\sqrt{x} 5[/tex]

Answers

The value of the expression given as 3 - √x⁵ is 3 - x^2√x

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to evaluate the expression?

The expression is given as

3 - √x⁵

Express 5 as the sum of 4 and 1