Solve each system by elimination.
8y + 10 = 6x , 8y - 4x = -12

Answer:

(x;y)=(24;10)

y = 1/6 * x + 6; y = 1/3 * x + 2

Substitute the given value of y into the equation y = 1/3 * x + 2

1/6 * x + 6 = 1/3 * x + 2

Solve the equation for x

x = 24

Substitute the given value of x into the equation y = 1/3 * x + 2

y = 1/3 * 24 + 2

Solve the equation for y

y = 10

The average of 4 numbers a, b, c, d is equal to the sum of the numbers divided by 4 is (a + b + c + d) / 4

From the information, the average of 4 numbers a, b, c, d is equal to the sum of the numbers divided by 4.

It should be noted that this can be illustrated as:

(a + b + c + d) / 4

It should be noted that average simply means the addition of the numbers and then dividing them.

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Answer:

4 5/6

Step-by-step explanation:

1/2 -> 3/6

2/3 -> 4/6

? 3/6 - ? 4/6 = ? 5/6

10 - 5 ( Take away one because you needed to do 3/6-4/6 which results in a negative number )

4 5/6

Following a 180-degree rotation, the new points are (3,1)

The size of the image will either rise or decrease depending on the answer to the question. And there are two ways to rotate: clockwise and counterclockwise. The coordinate values will vary depending on the quadrant.

Consequently, the new points upon rotation are (3,1).

The word "reflection" flips or creates a mirror image of the object. An picture is rotated by rotating it either clockwise or anticlockwise. Finally, translation moves certain parts of the picture.

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Whole numbers are defined as a set of natural numbers plus the integer zero. There exists no fractions, decimals, or negative integers in whole numbers, which are actual numbers.

Whole numbers are defined as a set of natural numbers plus the integer zero. In mathematics, the set of whole numbers is denoted by the letter W and is given as 0, 1, 2, 3, etc.

Examples:

1. Learning geometry and trigonometry can help people who desire to get better at sports.

2. The ability to compute an area is useful since it will be useful when we renovate our homes and rental properties.

3. When making many purchases, we must decide which retailer gives the best price or financing.

4.People use ratios or proportions to calculate the right amount of each item when they cook.

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Answer:

See below

Step-by-step explanation:

See graph below

just an addition to the great reply above by jsimpson11000

Check the picture below.

Answer:

-6, -5, -5.9, -1, 0, 1, 5, 5.9, 6, 6.1, 7, 11

Step-by-step explanation:

Its basically saying that all values of x must be greater than or equal to -6. So, we can substitute -6, -5, -5.9, -1, 0, 1, 5, 5.9, 6, 6.1, 7, 11

-6.1, -7, and -11, is wrong because it is less than -6,

hope this helped

Answer:

y = -x + 5

Step-by-step explanation:

slop m = -1, x = -1, y = 6

y = mx + b

6 = (-1)(-1) + b

6 = 1 + b

b = 5

so y = -x + 5

Answer: a. h=3V/(πr^2)

b. h=27 inches

Step-by-step explanation:

a. V=1/3 π r^2 h

V*3=3*1/3 π r^2 h

3V=3/3 π r^2 h

3V=π r^2 h

3V/π=π/π r^2 h

3V/π=r^2 h

h=3V/(πr^2)

b. h=3(1017.36)/(3.14(6^2))

h=3052.08/(3.14(36))

h=3052.08/(3.14(36))

h=3052.08/113.04

h=27 inches

The answer is Numeric.

What measurement scale is this?

There are mainly two types of variables

Numerical(quantitative): observations that can be measured in numerical form

Agin two types: ratio scale and interval scale

Categorical(qualitative ): named categories

Again two types: Ordinal or nominal

Her in the given an example,

Measured time of race have  numerical observations

The measurement scale is Numeric.

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The value of the expression below when x=5x=5?

8x+9 is equal to [tex]7^{2}[/tex] (or) 49.

Substitute [tex]\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)[/tex]

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = [tex]7^{2}[/tex]

Therefore,

Hence the value of the expressions if x = 5 is [tex]7^{2}[/tex] (or) 49.

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As the value of Square root -√5 is equal to -2.23, and the value of Square root -√3 is -1.73, which is larger.

The value of Square root -√5 = -2.23, and the value of Square root

-√3 = -1.73, which is larger.

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Answer:

the answer is c !!!!!!!!!!!!!!!!!!

The equation of the circle (x + 2)^2 + (y - 10)^2 = 4 has a radius of 2 and a center located at (-2 , 10).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle, (x + 2)^2 + (y - 10)^2 = 4, is in standard form, then

h = -2

k = 10

r = 2

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A line that bisects or cuts an objects into two equals parts is called the axis of symmetry for that object. The axis of symmetry creates a mirror-like reflection of each side of the object.

The function f(x) = |x| is called an absolute value function. The highest or lowest point on the graph of the absolute value function is called the vertex. The absolute value graph has an axis of symmetry through the vertices.

The axis of symmetry (x=0 or y-axis) is the line that divides the graph into two congruent halves. Translate is a transformation that moves the graph horizontally or vertically, but does not change its overall shape or orientation.

So, it does not affect the axis of symmetrical. Is symmetrical about the Y axis (axis of symmetry).

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Answer: t = 6/11

Step-by-step explanation:

3t - 2 + t = 4 - 7t

4t - 2 = 4 - 7t

4t + 7t = 4 + 2

11t = 4 + 2

11t = 6

Divide both by 11

Answer : t = 6/11

Answer:

t = 6/11

Step-by-step explanation:

Hello!

Solve the equation for t by isolating the variable.

The value for t is 6/11.

Answer:

1/4 inches/hour

Step-by-step explanation:

We need inches per hour, which means inches divided by hours, so we divide the number of inches by the number of hours.

2 inches / 8 hours = 2/8 inches/hour = 1/4 inches/hour

Answer:

Step-by-step explanation:

Givens

Let the height = x

Let the base = 2*x +6

Let the area = 88 square feet.

Formula

A = Base * height / 2

Solution

88 = (2x + 6)*x/2                       Multiply both sides by 2

88*2 = (2x+6)*2*x/2                Combine

176 = (2x + 6)*x                        Remove the brackets

176 = 2x^2 + 6x                         Subtract 176 from both sides

0 = 2x^2 + 6x - 176                   This factors without the quadratic

0 = (2) (x^2 + 3x - 88)

0 = 2 (x +11)(x - 8)

Note: x + 11 has no meaning. Measurements of this type cannot be minus. What is - 11 feet.

x - 8 =0

x = 8

Answer

height = 8 feet

base = 2*8 + 6

base = 22

Answer:

nope

Step-by-step explanation:

aight so basically . you see how the line , that the point is , on is dotted ? that means that nothing on the line is included aka ">" or "<" . and the line that solid , that means if a point is on that line , you can include it . aka "[tex]\leq[/tex]" or "[tex]\geq[/tex]" cause that means or equal to or whatever . so overall if we were only looking at the lil triangle that both of the colors intersect on , ( 3 , 1 ) wouldnt work . sorry if my explaination sucks :)

Find the slope of the line through (3,5) , parallel to y=5 x-1

Slope=5

How to find slope?

Given:

y=5x-1 ( where, slope=5)

Any line parallel to y=5x-1  also has slope 5

What is the line?

y=5x+b

We can find b ,using the given points  (3,5)

5=15+b

b=-10

The line is, y=5x-10

What is a slope?

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Answer:

algebra = 21

Step-by-step explanation:

the answer is 21

branbliest, please

The value of the expression 3(2 a+5)+2(3-a) at a=4 is 37 .

An Algebraic expression is defined as an expression that consists of variables and constants linked with mathematical operators (+,-,x,÷).

According to the question

=3(2 a+5)+2(3-a)

Substituting the value a=4 in the above expression.

We get,

=3(2(4)+5)+2(3-4)

=3(8+5)+2(3-4)

Solving terms in bracket first ,

=3(13)+2(-1)

=39-2

=37

Therefore , The value of the expression 3(2 a+5)+2(3-a) at a=4 is 37 .

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Answer:

10

Step-by-step explanation:

2(9)-8

10

Hey there!

2x^2 - y

= 2(3)^2 - 8

= 2(3^2) - 8

= 2(3 * 3) - 8

= 2(9) - 8
= 18 - 8

= 10

Therefore, your answer should be:

10

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

To prove triangles ACB and ECD to be congruent using SAA we need

A. Both ∠B and ∠D need to be congruent and ∠A and ∠E need to be congruent.

As given in the question,

In the triangle ACB and ECD,

Given : AC ≅ EC

            ∠ACB ≅∠ECD

To prove triangles to be congruent using SAA.

Two angles need to be congruent.

∠B ≅ ∠D

∠A ≅ ∠E

Therefore, to prove triangles ACB and ECD to be congruent using SAA we need

A. Both ∠B and ∠D need to be congruent and ∠A and ∠E need to be congruent.

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The function of correct growth or decay factors are,

[tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor of 50%.

[tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor of 15%.

[tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor related to growth factor 15%.

[tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor related to growth factor 5%.

[tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor of 85%, then the related to  20%.

We know that,

Exponential Decaying factor is [tex]y = ab^{x}[/tex]

Where, 0<b<1

The decay rate is expressed as a percentage. We convert it to a decimal by simply reducing the percent and dividing it by 100.

Growth factor is the factor by which a quantity multiplies itself over time. Growth rate is the addend by which a quantity increases (or decreases) over time.

Here,

Option(1) : [tex]y = (0.3)(0.5)^{x}[/tex]

Then,  0.5 < 1        (0.5 means 50%)

So, [tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor .

Hence,  [tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor of 50%.

Option(2) : [tex]y = 2000(\frac{4}{5}) ^{x}[/tex]

Then,  4/5 < 1

⇒ 0.8 < 1

So, [tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor.

Hence, [tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor of 15%.

Option(3) : [tex]y = 800 (1.15)^{x}[/tex]

Then,  1.15 > 1

So, [tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor.

Hence, [tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor of 115%, so it is not decay factor, then the related to growth factor 15%.

Option(4) : [tex]y = 1200 (1.05)^{x}[/tex]

Then,  1.05 > 1

So, [tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor.

Hence, [tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor of 105%, so it is not decay factor, then the related to growth factor 5%.

Option(5) : [tex]y = 3(0.85)^{x}[/tex]

Then,  0.85 < 1

So, [tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor.

Hence, [tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor of 85%, then the related to  20%.

Therefore,

[tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor of 50%.

[tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor of 15%.

[tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor related to growth factor 15%.

[tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor related to growth factor 5%.

[tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor of 85%, then the related to  20%.

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Based on the total amount that Karen spent in one week at the Starbucks, the cost of one latte was $6.83

Karen left a tip of a dollar every day she bought a Latte so this comes to:

= 1 x 5 days

= $5

The cost of a single latte is therefore:

= (Total amount spent - Total tips) / Number of days

= (39.15 - 5) / 5

= 34.15 / 5

= $6.83

In conclusion, a single latte at the Starbucks to Karen for the weekdays was $6.83.

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The arithmetic sequences are given as follows:

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

Hence, the arithmetic sequences are given as follows:

For the other sequences, there are different differences between consecutive terms, hence the sequence is not arithmetic, for example:

10 - 5 = 5, 20 - 10 = 10.

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