What is the slope of the line represented by the equation ? 3x + 4y = 8

Answer: (2, -3) ??

Step-by-step explanation:

The required domain of the given relation  {(–1, 4), (2, –3), (0, –2), (1, –3)} is {-1, 2, 0, 1}. Option C is correct.

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
In a relation, the domain is the set of all the first coordinates (x-values) of the ordered pairs.

The relation given is: {(–1, 4), (2, –3), (0, –2), (1, –3)}

The set of all the first coordinates is {-1, 2, 0, 1}. Therefore, the domain of the given relation is {-1, 2, 0, 1}.

Thus, Option C is correct

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Answer:

100(2)(3.14) = about 628 feet

Original question: What two numbers multiply to get -12 and add to -5.

Answer:

Pairs of numbers (1.772, -6.772) and (-6.772, 1.772).

Step-by-step explanation:

Let [tex]x[/tex] and [tex]y[/tex] be the two numbers, the we know that

(1). [tex]xy=-12[/tex]

and

(2). [tex]x+y=-5[/tex]

We solve for [tex]y[/tex] in equation(2) and substitute this into equation(1)

[tex]y=-(5+x)[/tex]

[tex]xy=-x(x+5)=-12[/tex]

[tex]x^2+5x-12=0[/tex]

This is a quadratic equation, and its solutions are

[tex]x=1.772\\\\x=-6.772[/tex]

we substitute these two solutions into equation(1) and find the corresponding [tex]y[/tex] values:

[tex](1.772)y=-12\: \therefore y=-6.772[/tex]

[tex](-6.772)y=-12 \: \therefore y=1.772[/tex]

Thus we have two pairs of numbers which multiply to give -12 and add to give -5

[tex](1.772, -6.772)[/tex] and [tex](-6.772, 1.772).[/tex]

The right ans is A.hope it will help u.........

Answer: 1.428571429 rounded to the nearest tenth is 1.4.

Step-by-step explanation: The answer is 1.4 because the number you were using to round was lower than five.

Final answer:

The number 1.428571429 rounded to the nearest tenth is 1.4, as the hundredth's place digit is less than 5.

Explanation:

To round the number 1.428571429 to the nearest tenth, we look at the first digit after the tenth's place, which is the hundredth's place. If this digit is 5 or greater, we round up. If it's less than 5, we do not round up. In this case, the hundredth's digit is 2, which is less than 5. Therefore, the number 1.428571429 rounded to the nearest tenth is 1.4. This process of rounding to the nearest tenth simplifies numbers while maintaining their approximate value, aiding in concise representation and easier comprehension of numerical data in various contexts.

Answer:$60

Step-by-step explanation:

48/4 = 12.

5 × 12 =60

Answer:

Option B) AB ≅ BC

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal angles

In this problem Triangle ABC is an isosceles triangle,

because

∠B≅∠C

therefore

The opposite sides to ∠B and ∠C are congruent

AB≅AC

A)  AB ≅ AC

The base angles are equal; therefore, the sides opposite the base angles are congruent.

The value of t = 2. Option a) 2 is the correct answer.

Step-by-step explanation:

Perimeter is the sum of three sides of a triangle.

Given that, the points D and E are midpoints of the sides.

Therefore,

side AB= AD+DB

       AB= 3t + 3t = 6t

side BC= BE+EC

       BC= 4t + 4t = 8t

side AC= 7t+6

Perimeter of the triangle= sum of (side AB+side BC+side AC)

48 = 6t+8t+7t+6

48 = 21t+6

t= 42/21

t= 2

The population of the county is 76,869.

Step-by-step explanation:

Given,

Number of people with Diabetes = 12914

Percent of people with Diabetes = 16.8%

Let,

x be the number of people in county.

16.8% of x = 12914

[tex]\frac{16.8}{100}x=12914\\0.168x=12914[/tex]

Dividing both sides by 0.168

[tex]\frac{0.168x}{0.168}=\frac{12914}{0.168}\\x=76869.04[/tex]

Rounding off to nearest whole number

x = 76,869

The population of the county is 76,869.

Keywords: division, percentage

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Answer:

i got it for the team sooo

1. 10.1

2. 16.5

3. 58.9

4. 41.1

it gave me the right answers this is edg 2020

Determining Relative Frequencies as Percentages

Answer:

1990

Step-by-step explanation:

The number of banks in 1970 is 18,137, in 1990 is 3, and in 2010 is 7,250.

(a) Since 1970 is 70 years after 1900,

use the function f(x) = 81.8x + 12,361 for the years before 1990 (when x < 90).

f(70) = 81.8 * 70 + 12,361

        = 5776 + 12,361

        = 18,137

The number of banks in 1970 is 18,137.

(b) Since 1990 is exactly 90 years after 1900,

use the other part of the function f(x) = 3 for the years between 1990 and 2010.

f(90) = 3

The number of banks in 1990 is 3.

(c) Since 2010 is 110 years after 1900, use the function

f(x) = -376.4x + 48,685 for the years after 290 (when x > 290).

f(110) = -376.4 * 110 + 48,685

        = -41404 + 48,685

         = 7250

The number of banks in 2010 is 7,250.

So, the number of banks are 18,137, 3 and 7,250.

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Answer:

9 3/6 ⇒ 19/2

3 4/6 ⇒ 11/3

Step-by-step explanation:

A fraction greater than one is an improper fraction.

[tex]9\frac{3}{6}[/tex] when converted into an improper fraction is

[tex]9\frac{3}{6} =9+\frac{3}{6} \\\\=\frac{9*6}{6}+ \frac{3}{6}\\\\ =\frac{54}{6}+ \frac{3}{6}=\frac{57}{6}\\\\ =\boxed{\frac{19}{2}. }[/tex]

[tex]3\frac{4}{6}[/tex] when converted to a fraction is

[tex]3\frac{4}{6}=3+\frac{4}{6}\\\\=\frac{3*6}{6}+ \frac{4}{\\\\6}\\\\=\frac{18}{6}+\frac{4}{6}=\frac{22}{6}\\\\=\boxed{\frac{11}{3}. }[/tex]

Thus fractions [tex]9\frac{3}{6}[/tex] and [tex]3\frac{4}{6}[/tex] when converted to fractions greater than one are [tex]\frac{19}{2}[/tex] and [tex]\frac{11}{3}[/tex] respectively.

9 3/6 cups of pancake batter is [tex]\( \frac{19}{2} \)[/tex]and 3 4/6 cups is [tex]\( \frac{11}{3} \)[/tex].

Step 1:

Convert the mixed number 9 3/6 to an improper fraction:

[tex]\[ 9 \frac{3}{6} = \frac{(9 \times 6) + 3}{6} = \frac{54 + 3}{6} = \frac{57}{6} \][/tex]

Step 2:

Simplify the fraction:

[tex]\[ \frac{57}{6} = \frac{19 \times 3}{2 \times 3} = \frac{19}{2} \][/tex]

So, 9 3/6 cups of pancake batter is equivalent to the improper fraction [tex]\( \frac{19}{2} \).[/tex]

Step 3:

Now, convert the mixed number 3 4/6 to an improper fraction:

[tex]\[ 3 \frac{4}{6} = \frac{(3 \times 6) + 4}{6} = \frac{18 + 4}{6} = \frac{22}{6} \][/tex]

Step 4:

Simplify the fraction:

[tex]\[ \frac{22}{6} = \frac{11 \times 2}{3 \times 2} = \frac{11}{3} \][/tex]

So, 3 4/6 cups of pancake batter is equivalent to the improper fraction [tex]\( \frac{11}{3} \).[/tex]

Therefore, each mixed number, when expressed as a fraction greater than one, is [tex]\( \frac{19}{2} \)[/tex] and [tex]\( \frac{11}{3} \)[/tex], respectively.

Answer:

3x+1

Step-by-step explanation:

9+3x-8

9-8+3x

1+3x

Answer:

Step-by-step explanation:

It moves 108m in 4sec

Than in 1sec it moves 108/4m= 27m

And in 9sec it will move 27×9m

= 243m

Answer: $12

Step-by-step explanation: $6 x 2 = $12

Hope this helps!

Answer:

$12

Step-by-step explanation:

6x=6(2)=12

Answer:

B

Step-by-step explanation:

move x to one side and numbers on another side.

9+5<3x+4x. --» 14<7x. --»/7--» x>2

Final answer:

The inequality 9 - 4x < 3x - 5 simplifies to x > 2 after collecting like terms and performing basic algebraic operations. Therefore, the correct answer is B. x > 2.

Explanation:

To solve the inequality 9 - 4x < 3x - 5, we need first to collect like terms on one side. This step involves moving all the x terms to one side of the inequality and the constant terms to the other side.

Let's do this now:

The answer is x > 2, which corresponds to option B.

Answer:

-6m + 8

Step-by-step explanation:

2/3 (–9m + 12) =

Use the distributive property. Multiply 2/3 by each term inside the parentheses.

= 2/3 * (-9m) + 2/3 * 12

= -18m/3 + 24/3

= -6m + 8

Answer:

Step-by-step explanation:

the answer is 5

The Answer is (5) :D Hope this helps

Answer:

opposite sides that are parallel,

opposite angles that are congruent,

opposite sides that are congruent,

consecutive angles that are supplementary, and

diagonals that bisect each other.

Step-by-step explanation:

not sure if this is the kind of answer you're looking for so i'm sorry if this didn't help

Answer:

in the steps

Step-by-step explanation:

D(-2,3) E(4,-1) F(2,-4) G(-4,0)

slope DG: (0-3)/(-4+2) = -3/-2 = 3/2

slope EF: (-4+1)/(2-4) = -3/-2 = 3/2

DG // EF

slope DE: (-1-3)/(4+2) = -4/6 = -2/3

slope GF: (-4-0)/(2+4) = -4/6 = -2/3

DE // GF

slope DG = - 1/slope DE

DG ⊥ DE

The same reason

DG ⊥ GF

DE ⊥ EF

EF ⊥ GF

∴ DEFG is a parallelogram with four 90° interior angles, it's a rectangle

Answer:

X=-10

Step-by-step explanation:

Answer:

Step-by-step explanation:

15x+20-10x-9=25x+8-21x-7

5x + 11 = 4x + 1

Collecting like terms

5x - 4x = 1 - 11

x = -10

ANSWER: Exact Form: 2[tex]\sqrt{145}[/tex]

Decimal Form:  24.08318915

STEP-BY-STEP EXPLANATION:

(-12,1)  (12,-1)

Use the distance formula to determine the distance between the two points.

Distance = [tex]\sqrt{(X2-X1)^{2  }+ (Y2-Y1)^{2} }[/tex]

Substitute the actual values of the points into the distance formula.

[tex]\sqrt{(12-(-12))^{2  }+ ((-1)-1)^{2} }[/tex]

Multiply  -1 BY -12

[tex]\sqrt{(12+12)^{2  }+ ((-1)-1)^{2} }[/tex]

Add 12 and 12

[tex]\sqrt{24^{2} +((-1)-1)^{2} }[/tex]

Raise 24 to the power of 2

[tex]\sqrt{576 +((-1)-1)^{2} }[/tex]

[tex]\sqrt{576+4}[/tex]

[tex]\sqrt{580}[/tex]

Rewrite 580 as [tex]2^{2}[/tex]·145

Factor 4 out of 580

[tex]\sqrt{4(145)}[/tex]

Rewrite 4 as [tex]2^{2}[/tex]

[tex]\sqrt{2^{2}(145) }[/tex]

Pull terms out from under the radical.

2[tex]\sqrt{145}[/tex]

The result can be shown in multiple forms.

Exact Form: 2[tex]\sqrt{145}[/tex]

Decimal Form:  24.08318915

The distance between the points will be "24.08 units".

Given points:

As we know the formula,

→ [tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

By substituting the values, we get

                  [tex]= \sqrt{(12-(-12))^2+(-1-1)^2}[/tex]

                  [tex]= \sqrt{(24)^2+(-2)^2}[/tex]

                  [tex]= \sqrt{576+4}[/tex]

                  [tex]= \sqrt{580}[/tex]

                  [tex]= 24.08 \ units[/tex]

Thus the above answer is correct.    

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Answer:

Therefore elements greater than 5 is only 11.

Step-by-step explanation:

Set:

A set in mathematics is a collection of well defined and distinct objects, also consist of a collection of elements.

Example:

Let A be the set for {-8, 0, 5, 11}

∴ A = {-8, 0, 5, 11}

This is the set ' A 'consists of elements as a number -8, 0, 5, 11.

Therefore elements greater than 5 is only 11. ( 5 will not come as it is mentioned greater than 5 )

-8, 0 are less then 5

Answer:

I'll tell u later

Step-by-step explanation:

Small number =x

Large number =11 plus x

Now from the question,

[tex]x + 11 + x = 57[/tex]

Therefore 2x plus 11= 57

2x= 57-11=46

X=46÷2=23

To find the two numbers where the sum is 57 and the larger number is 11 more than the smaller number, we set up equations based on the conditions. Solving these equations, we find that the smaller number is 23 and the larger number is 34.

The question involves finding two numbers given certain conditions: the sum of two numbers is 57, and the larger number is 11 more than the smaller number. To solve this, we can set up equations based on the given conditions and solve them step by step.

Let the smaller number be x and the larger number be y. We are given two equations based on the problem statement:

x + y = 57 (The sum of the two numbers is 57.)

y = x + 11 (The larger number is 11 more than the smaller number.)

Substituting the value of y from equation (2) into equation (1), we get:

x + (x + 11) = 57

2x + 11 = 57

2x = 46

x = 23

Now, using the value of x in equation (2) to find y:

y = 23 + 11 = 34

So, the smaller number is 23 and the larger number is 34.

Answer:

7.54 times greater.

Step-by-step explanation:

The square with a side length of 4 inches has a 4×4=16 inches squared area. The area of a cirkel is calculated with the formula \pi×r^2. Using the 6.2 inch radius given, we get \pi×6.2^2=120.76 inches squared. 120.76/16=7.54 times greater.

Final answer:

Calculate the difference in area between a circle and a square given their respective dimensions.

Explanation:

To find the area of a circle with a radius of 6.2 inches:

To find the area of a square with a side length of 4 inches:

Subtract the area of the square from the area of the circle to find the difference:

Difference = 38.48 - 16 = 22.48 square inches.

Answer:

The future value of an investment of US$ 6,000 after 23 years at 3.1% APR is US$ 12,108.

Step-by-step explanation:

Investment principal = US$ 6,000

Interest rate = 3.1% compounded annually = 0.031

Time = 23 years

For calculating the future value, we will use the following formula:

Future Value = Investment principal * (1 + r)ⁿ

Replacing with the real values, we have:

FV = 6,000 * (1 + 0.031)²³

FV = 6,000 *  (1 + 0.031)²³

FV = 6,000 * 2.018 (Rounding to three decimal places)

FV = US$ 12,108

The future value of an investment of US$ 6,000 after 23 years at 3.1% APR is US$ 12,108.

Answer:

Explanation:

Part A.

1. Name the variables:

2. Write the function that models the relation between the variables:

The expression that represents the number of adults is 4t + 15

Part B.

If there are nine teams in the league, you substitute 9 for t in the expression that represents the total number of adults in the Little League (make t = 9) to determine how mnay adults are part of the Little League:

Hence, 51 adults are part of the Little League.

The total number of adults is 51.

Part A: To find an expression for the total number of adults in the Little League, we need to consider both the umpires and the coaches. There are 4 coaches per team and 15 umpires overall.

Thus, the expression for the total number of adults is: 4t + 15

where t represents the number of teams.

Part B: Given there are 9 teams in the league, we can substitute 9 for t in the expression:

Total number of adults = 4(9) + 15

= 36 + 15

= 51

Therefore, there are 51 adults in the Eagle Rock Little League.

Answer:

Is not a right triangle

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagorean Theorem

[tex]c^2=a^2+b^2[/tex]

where

c is the greater side (the hypotenuse)

a and b are the legs

Verify

we have

[tex]a=6\ cm\\b=10\ cm\\c=12\ cm[/tex]

substitute

[tex]12^2=6^2+10^2[/tex]

[tex]144=36+100[/tex]

[tex]144\neq 136[/tex]

so

The length sides of triangle not satisfy the Pythagorean Theorem

therefore

Is not a right triangle

Answer:

Initial value: 12, rate of change: -2

Step-by-step explanation:

The rate of change is given by change in the y-values over change in x-values.

There is a constant change of -2 in y-values.

There is also a constant change of 1 in the x-values.

The rate of change is -2

The initial value is when x=0,

So we go back one step, and that will give us (0,12)

Therefore the initial value is 12.

Answer:

The answer is A, "Initial value: 12, rate of change: -2."

Step-by-step explanation:

I just completed the test and got it correct.