How many solutions does the equation -3a +3a +6 =7 have?

A. One
B. Two
C. Infinitely many
D. None

10 points for answer.

1.892a is the correct answer

The expanded form of the expression 2.15a+0.03∙(3.4a−12a) is 2.252a - 0.36

Given the following expression

2.15a+0.03∙(3.4a−12a)

Open the parenthesis

2.15a+0.03∙(3.4a) −0.03(12a)

2.15a+ 0.102a - 0.36

Simplify

2.252a - 0.36

Hence the expanded form of the expression 2.15a+0.03∙(3.4a−12a) is 2.252a - 0.36

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The resulting equation after substituting [tex]\( y = 4x \)[/tex] into [tex]\( x^2 + y^2 = 81 \)[/tex] is [tex]\( x^2 = \frac{81}{17} \)[/tex]

Let's isolate the variable [tex]\( y \)[/tex] in the first equation [tex]\( 3y = 12x \)[/tex]:

Divide both sides by 3 to solve for [tex]\( y \)[/tex]:

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

Now that we have an expression for [tex]\( y \)[/tex], substitute it into the second equation [tex]\( x^2 + y^2 = 81 \)[/tex]:

[tex]\[ x^2 + (4x)^2 = 81 \][/tex]

Now simplify the equation:

[tex]\[ x^2 + 16x^2 = 81 \][/tex]

Combine like terms:

[tex]\[ 17x^2 = 81 \][/tex]

Divide both sides by 17 to solve for [tex]\( x^2 \)[/tex]:

[tex]\[ x^2 = \frac{81}{17} \][/tex]

So, the resulting equation after substituting [tex]\( y = 4x \)[/tex] into [tex]\( x^2 + y^2 = 81 \)[/tex] is [tex]\( x^2 = \frac{81}{17} \)[/tex].

A quadrilateral with one pair of parallel sides is a trapezoid

A quadrilateral with only one pair of parallel sides can be classified as a trapezoid, which is a distinct type of four-sided figure unlike rectangles or squares.

The quadrilateral Lily designed, with only one pair of parallel sides, can be classified as a trapezoid. In geometry, this kind of shape is distinct from others we learn about in elementary levels, such as squares and triangles. A trapezoid is a four-sided figure, which makes it a type of quadrilateral but not all sides are parallel like in a rectangle or a square.

The defining feature of a trapezoid is that it has at least one set of parallel sides, known as the bases, while the other sides, which are not parallel, are referred to as the legs. Because it only has one pair of parallel sides, it differs from other quadrilaterals like rectangles, squares, and parallelograms, which have two pairs of parallel sides. The non-parallel sides of a trapezoid can be of different lengths and angles to each other, which can make trapezoids quite diverse in shape and size.

Answer:

Step-by-step explanation:

The general equation is y = a*b^x

The specific equation is

100000 = 78918 * 1.06^x

y is the goal (100000 people)

a is the beginning number of people at the time the prize is offered.

a = 78918

b = the base increase per year. (1.06 in this case)

x is the number of years. Just for fun, let's solve for x even though you are not asked for it.

100000 = 78918 * 1.06^x  Divide both sides by 78918

100000/78918 = 1.06^x

1.26713 = 1.06^x                Take the log of both sides.

log(1.26713) = x * log(1.06) Divide both sides by log(1.06)

log(1.26713)/log(1.06) = x

x = 4.06 years.

Answer:

the domain of g(x) ÷ f(x) is :D = ]-∞ ; 4[U] 4 ; +∞[

Step-by-step explanation:

g(x) ÷ f(x) exist for : 2-x^1/2 ≠ 0

 2-x^1/2 = 0

  x^1/2 = 2

  (x^1/2)² = 2²

x = 4

the domain of g(x) ÷ f(x) is :D = ]-∞ ; 4[U] 4 ; +∞[

ANSWER

[0,4) U (4,+∞)

EXPLANATION

The given functions are:

[tex]f(x)=2- \sqrt{x} [/tex]

and

[tex]g(x) = {x}^{2} - 9[/tex]

We want to find the domain of:

[tex] g(x) \div f(x) = \frac{ {x}^{2} - 9}{2 - \sqrt{x} } [/tex]

This function is defined for:

[tex]2 - \sqrt{x} \ne0[/tex]

[tex]2 \ne \: \sqrt{x} [/tex]

Square both sides,

[tex] {2}^{2} \ne \: ({\sqrt{x}})^{2} [/tex]

[tex]4 \ne \: x[/tex]

Also [tex] x\:\ge0[/tex]

Therefore the domain is

[0,4) U (4,+∞)

Answer:

B. No solution

Step-by-step explanation:

y = 3x+9

y = 3x-7

Set the two equations equal since they are both equal to y

3x+9 = 3x-7

Subtract 3x from each side

3x+9-3x = 3x-7-3x

9 = -7

This is never true, so there are no solutions

Answer: on edge its one and then after that 0,-3

Step-by-step explanation:

Answer:

D. 11/20

Step-by-step explanation:

7, 8, and 9 represent late flights.  We want to count how many of the 20 trials have at least two of these digits.  Counting, we find that 11 of the 20 have at least two of these digits.

D. 11/20

Answer:

Answer in attachment

Step-by-step explanation:

Answer:

A. DE

Step-by-step explanation:

The side opposite the angle with the largest measure is the longest

<F has a measure of 72, so it is the largest angle and DE is opposite <F

Side DE is the longest

3.14 • 3 I think I hope this is right and helps

The area of circle in inches be: 3.14* [tex](3)^{2}[/tex]

The area of a circle is pi times the radius squared (A = π r²).

As it is known that the triangle in inscribed under the circle.

The diameter of the circle will be = 6 inches (hypotenuse of triangle)

                                             radius = 3 inches

So, Area of circle= π[tex]r^{2}[/tex]

                            = 3.14* 3 * 3

                            = 3.14* [tex](3)^{2}[/tex]

So, the area of circle is : 3.14* [tex](3)^{2}[/tex]

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Answer:

x=9

Step-by-step explanation:

x – 2 = 7

Isolate the variable, x.

x-2+2=7+2

x=9

x=9

Answer: [tex]x=9[/tex]

Step-by-step explanation:

Given the equation [tex]x-2=7[/tex], you need solve for the variable "x", to do this, you need to remember the Addition property of equality, which states that:

[tex]If\ a=b,\ then\ a+c=b+c[/tex]

Therefore, add 2 to both sides of the equation to calculate the value of the variable "x", then you get the following result:

[tex]x-2+(2)=7+(2)[/tex]

[tex]x=9[/tex]

The equation [tex]\(525=25(x-2)\)[/tex] helps answer option (C): How many members are in the band when no one is absent?

let's break it down step by step:

1. Define variables: Let [tex]\(x\)[/tex] represent the total number of members in the band.

2. Calculate members present: Since 2 members were absent, the number of members present is [tex]\(x - 2\).[/tex]

3. Programs folded by each member: We know that each present member folded 25 programs.

4. Total programs folded: To find the total number of programs folded, we multiply the number of present members by the number of programs each member folded. So, the total programs folded is \(25(x-2)\).

5. Set up equation: We are given that the total number of programs folded is 525. So, we set up the equation:

[tex]\[ 25(x-2) = 525 \][/tex]

6. Solve for [tex]\(x\):[/tex] By solving this equation, we can find the value of [tex]\(x\),[/tex]which represents the total number of members in the band when no one is absent.

So, the equation [tex]\(525=25(x-2)\)[/tex] helps us determine how many members are in the band when no one is absent. This aligns with option (C).

Complete Question:

Answer:

y=5/7   x=31/7

Step-by-step explanation:

Make the x values the opposite of each other:

-2(x+5y=8)

-2x-10y=-16

2x+3y=9

Combine like terms and solve for y:

-7y=-5

y=5/7

Plug y in to find x.

x+5(5/7)=8

x+25/7=8

56/7-25/7=x

x=31/7

Answer:

9/24 or 3/8

Step-by-step explanation:

Spinner gives a 4.

Suppose the 4 shows up on the spinner.

There is a 1/4 chance of that happening.

Suppose the cube does not have a 4 on the top face. There is a 5/6 chance of that happening

Together the probability is 1/4 * 5/6 = 5/24

The cube gives a 4

The cube gives a four 1/6 of the time.

The spinner cannot give a 4, which happens 3/4 of the time.

Together the probability is 1/6 * 3/4 = 3/24

Both Cube and Spinner give a 4

The cube will give a four 1/6 of the time

The spinner gives a four 1/4 of the time.

1/6*1/4 = 1/24

Total

1/24 + 3/24 + 5/24 = 9/24 = 3/8

What happens to the rest?

The answer is neither gives a four.

Spinner 3/4

Die: 5/6

Combined amount = 3/4 * 5/6 = 15/24

There is a quick way to do this.

1 - no fours =

1 - 15/24 = 9/24

[tex]\bf y=2x+b~~\hspace{8em} (\stackrel{x}{-1},\stackrel{y}{0})~\hspace{8em} 0=2(-1)+b \\\\\\ 0=-2+b\implies 2=b[/tex]

To find the value of b plug in the point (-1,0) into the known part of the equation ( y = 2x + b ) and solve for b

0 = 2(-1) + b

0 = -2 + b

To isolate b add 2 to both sides (addition of 2 will make -2 zero and cancel it from the right side and bring it to the left)

0 + 2 = (-2 + 2) + b

2 = 0 + b

2 = b <------------------------B. 2

Hope this helped!

Answer:

The answer is C

Explanation:

8x + 4 = 8x + 4

x = x

Answer:

Boys = 150

Girls = 315

Total Boys and Girls 465

Step-by-step explanation:

We call x the number of boys and we call y the number of girls.

So we have to find the total number of children

We know that

[tex]\frac{2}{7}y = \frac{3}{5}x[/tex]

[tex]x =y-165[/tex]

Now we substitute the second equation in the first and solve for y.

[tex]\frac{2}{7}y = \frac{3}{5}(y-165)[/tex]

[tex]\frac{2}{7}y = \frac{3}{5}y-99\\\\99 = \frac{3}{5}y-\frac{2}{7}y\\\\\frac{11}{35}y=99\\\\y = 315\\[/tex]

Now we find x.

[tex]x = 315-165 = 150\\\\x = 150[/tex]

Finally we have that:

Boys = 150

Girls = 315

Total Boys and Girls 465

For this case, we must subtract the given matrices, for this we subtract term to term.

So, we have:

Equal signs are added and the same sign equals:

[tex]\left[\begin{array}{ccc}-2-2\\-2-1\\1-1\end{array}\right][/tex]=

[tex]\left[\begin{array}{ccc}-4\\-3\\0\end{array}\right][/tex]

ANswer:

[tex]\left[\begin{array}{ccc}-4\\-3\\0\end{array}\right][/tex]

Answer:

[tex]\left[\begin{array}{ccc}-4\\-3\\0\end{array}\right][/tex]

Step-by-step explanation:

Given in the question two matrix, a matrix can only be added to (or subtracted from) another matrix if the two matrices have the same dimensions.

Here the dimensions are 3x1 and 3x1 .

[tex]\left[\begin{array}{ccc}-2\\-2\\1\end{array}\right][/tex]-[tex]\left[\begin{array}{ccc}-2\\1\\1\end{array}\right][/tex]

To subtract two matrices, just subtract the corresponding entries

=[tex]\left[\begin{array}{ccc}-2-2\\-2-1\\1-1\end{array}\right][/tex]

=[tex]\left[\begin{array}{ccc}-4\\-3\\0\end{array}\right][/tex]

e 95,970 l dont know any work just looked it up sorry

Answer:

Step-by-step explanation:

10^9 x 0.007

Answer:

B) x^2 – 1

Step-by-step explanation:

x(x – 1)(y + 1)

FOIL (x-1)(y+1)

firsy: xy

outer 1x

inner -1y

last (1)(-1) =-1

Add them together  xy +x-y-1

x( xy +x-y-1)

Replace xy with 1

x( 1+x-y-1)

x(+x-y)

Distribute

x^2-xy

But xy=1

x^2 -1

The answer is:

The equation of the line in slope-intercept form:

[tex]y=\frac{5}{6}x+\frac{7}{3}[/tex]

To find the equation in slope-intercept form, we need to follow the next steps:

Find the slope of the line:

Using the slope formula, we have:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points:

[tex](2,4)\\(-4,-1)[/tex]

So, substituting we have:

[tex]m=\frac{(-1)-(4)}{-4-2}[/tex]

[tex]m=\frac{-5}{-6}[/tex]

[tex]m=\frac{5}{6}[/tex]

Find the "b" value:

Now that we know the value of the slope, we can write the equation of the line:

[tex]y=\frac{5}{6}x+b[/tex]

In order to find "b" we need to substituite any of the given points, we know that line is thru both of the given points, so, substituting (2,4) we have:

[tex]4=\frac{5}{6}*2+b\\\\4=\frac{10}{6}+b\\\\4=\frac{5}{3}+b\\\\b=4-\frac{5}{3}=\frac{(3*4)-5}3}=\frac{12-5}{3}=\frac{7}{3}[/tex]

Now that we know the slope and "b", we can write the equation of the line in slope-intercept form:

[tex]y=\frac{5}{6}x+\frac{7}{3}[/tex]

Have a nice day!

Answer:

kilograms

Step-by-step explanation:

9 games equals 36 percent of x number of total games.

9=(36/100)x

Multiply both sides by (100/36) to isolate x.

9*(100/36)=x

x=25 total games

Answer:

[tex]\large\boxed{\left(3x^2y\right)^3=27x^6y^3}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\\left(3x^2y\right)^3=3^3(x^2)^3y^3=27x^6y^3[/tex]

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

5×106 this is for 5,000,000

Step-by-step explanation:

Answer:

There are 5 1/2 oranges altogether.

Step-by-step explanation:

The 2 and 3 in front of each fraction indicate that there are a total of 5 whole oranges altogether. Now we have to settle these fractions. the 1/4 and the 1/4 both have a common denominator so there is no need to find one. When the common denominator is found, we simply have to add the numberators on the top of the fraction. 1+1 is 2, and, since the denominator stays the same, we should get a total of 2/4. I am unsure as to whether you were asked to simplify your answer (if you weren't you could keep your answer like this), but if you were to simplify the answer, both the numerator and denominator of our total can be divided by 2, so when that is done, we have a simplified total of 1/2. Take that 1/2 of an orange and add it to our 5 whole oranges, and we should get our answer of 5 1/2 oranges in total.

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

we know that

The vertical asymptote occur when the denominator of the function f(x) is equal to zero.

we have

[tex]f(x)=\frac{6}{x-3}[/tex]

so

[tex]x-3=0[/tex]

[tex]x=3[/tex]-----> is the vertical asymptote

Answer: 3

Step-by-step explanation:

The red line goes through it

Answer:

Step-by-step explanation:

Given is table as follows

1500 75

2800 73

3500 72

4500 70

5000 66

6000 63

8000 60

8500 60

9000 57

9500 55

r -0.98649651

We get correlation coefficient is negative and near -1

Hence there is a strong negative correlation.

Whenever x increases y decreases with almost constant slope.

Answer:

correlation coefficient of the data ---->strong negative linear correlation

interpretation of the correlation coefficient ----> -0.986

Step-by-step explanation:

It is would last for 6 hours.