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Answer:

(0, -8)

Step-by-step explanation:

The y-intercept of the line is -8, meaning the coordinate point is (0, -8),

The table considering the numeric values of the function y = 6x - 2 is given as follows:

x | y

-1 | -8

0 | -2

1 | 4

5 | 28

To obtain the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

In this problem, the function is:

y = 6x - 2.

Hence the numeric values are obtained replacing the lone instance of x by it's attributed value.

At x = -1, the numeric value is:

y = 6(-1) - 2 = -6 - 2 = -8.

At x = 0, the numeric value is:

y = 6(0) - 2 = 0 - 2 = -2.

At x = 1, the numeric value is:

y = 6(1) - 2 = 6 - 2 = 4.

At x = 5, the numeric value is:

y = 6(5) - 2 = 30 - 2 = 28.

The problem asks to complete the table with the numeric values as follows:

x | y

-1 | _

0 | _

1 | _

5 | _

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Answer:

Brown 180°

Ginger 84°

Blonde 96°

Step-by-step explanation:

Brown 360 x 15/30 = 180

Ginger 360 x [tex]\frac{7}{30}[/tex] = 84

Blonde 360 x [tex]\frac{8}{30}[/tex] = 96

The mass of sultanas is 1.5 kilograms which were found using the given data and ratio.

Given:

Ratio of currants: raisins: sultanas = 4:3:5.

The total mass of the three ingredients is 3.6 kilograms.

Let,

number of currants = 4x

number of raisins = 3x

number of sultanas = 5x

We know that,

4x + 3x + 5x = 3.6

12x = 3.6

x = 0.3

So, the mass of sultanas = 5x = 5(0.3) = 1.5

Therefore, the mass of sultanas is 1.5 kilograms which were found using the given data.

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Answer: x=18 inches.

Step-by-step explanation:

You can use the Pythagorean Theorem for help.

To find the length of the third side of a right triangle, you have to do

10 square + 15 square=x square.

100+225=x square

325=x square

x=  [tex]\sqrt{325}[/tex].

The nearest inch would be x= 18 inches.

Answer:  The correct answer is 18 inches

Step-by-step explanation:

Using the Pythagorean Theorem:

c= [tex]\sqrt{a^2+b^2}[/tex]

c=[tex]\sqrt{10^2+15^2}[/tex]

c=18.02776

c= 18 inches

A line that represent the "rise" and the "run" of the line is shown in the image attached below. Also, a slope of this line in simplest form is equal to 0.25.

Mathematically, the slope of a line is also referred to as pitch or gradient and can be calculated by using this formula:

Slope, m = V/H

Where:

From the graph of this line, we would choose the following data points to represent both the rise and run:

Rise (x, y) = (-5, 0)

Run (x, y) = (7, 3)

Substituting the selected data points into the slope formula, we have;

Slope (pitch), m = (3 - 0)/(7 - (-5))

Slope (pitch), m = (3 - 0)/(7 + 5)

Slope (pitch), m = 3/12

Slope (pitch), m = 0.25

At point (-5, 0), the equation of this line would be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the parameters into the formula, we have;

y - 0 = 0.25(x - (-5))

y - 0 = 0.25(x + 5)

y = 0.25x + 1.25

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The simplified expression of 8x + 4 - 6y - 3x + y is 5x - 5y + 1

Expression:

An expression is any mathematical statement that consists of numbers, variables and an arithmetic operation between them.

Given,

Here we have the expression 8x + 4 - 6y - 3x + y.

Now, we have to simplify the expression.

To simplify the expression, first we have to write the given expression,

=> 8x + 4 - 6y - 3x + y

Now, we have to combine the like terms, then we get,

=> (8x - 3x) + (-6y + y) + (4 - 3)

Now, we have to perform the appropriate arithmetic operations on it, then we get,

> 5x + (-5y) +1

Therefore, the simplified form of the given expression is 5x - 5y + 1

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The function given f(x) = 4/x² + 1 concaves upward on (-∞,0)∪(∞,0) and has no point of inflection.

A point of inflection of the graph of a function f(x) is a point where the second derivative f′′(x) is 0. We have to wait a minute to clarify the geometric meaning of this.

A piece of the graph of f is concave upward if the curve ‘bends’ upward. For example, the popular parabola y=x2 is concave upward in its entirety.

A piece of the graph of f is concave downward if the curve ‘bends’ downward. For example, a ‘flipped’ version y=−x² of the popular parabola is concave downward in its entirety.

The relation of points of inflection to intervals where the curve is concave up or down is exactly the same as the relation of critical points to intervals where the function is increasing or decreasing. That is, the points of inflection mark the boundaries of the two different sort of behavior. Further, only one sample value of f′′ need be taken between each pair of consecutive inflection points in order to see whether the curve bends up or down along that interval.

In the function f(x) = 4 / x² + 1 has no points of inflection but it's concave upwards along (-∞, 0) ∪ (0, ∞)

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The perimeter of the rectangle with area of 108 cm is 48 cm.

The perimeter of a rectangle is the sum of the whole sides of the rectangle. A rectangle is a quadrilateral with opposite side equal to each other.

Therefore,

area of a rectangle = lw

where

Therefore,

l = 3w

108 = 3w(w)

108 = 3w²

w² = 108 / 3

w = √36

w = 6

Hence,

length = 3(6) = 18

Therefore,

perimeter of the rectangle = 2(l + w)

perimeter of the rectangle = 2(18 + 6)

perimeter of the rectangle = 2(24)

perimeter of the rectangle = 48 cm

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Answer:

I think it's =

Step-by-step explanation:

they both equal 32.

Answer:

=

Step-by-step explanation:

6^2 - 2^2

36 - 4

32

4 (6 + 2)

24 + 8

32

Answer:

D: y = -4/7x + 7

Step-by-step explanation:

Answer:

[tex]y=-\frac{4}{7}x+7[/tex] or option D

Step-by-step explanation:

y=mx+b is the form where m is the slope and b is the y intercept so just fill those in

y=-4/7x+7

Hopes this helps please mark brainliest

Answer:x=2

Step-by-step explanation:

4(x-2) goes to 4x -8 which then goes to 4x=8 which then divided by 4 equals x=2

1/4(10x+8)= -(1/2x+13) + 3(x+5) being examined by three Math Club members for all possible values of x.

Given that,

The formulas 1/4(10x+8) and -(1/2x+13) + 3(x+5) are being examined by three Math Club members for all possible values of x. According to the findings in the table, each student asserts that the expressions are connected.

We have to find which student is right.

Take the

1/4(10x+8) = 10/4x+8/4 = 5/2x+2

-(1/2x+13) + 3(x+5) = -1/2x-13+3x+15 = 5/2x+2

So, 1/4(10x+8)= -(1/2x+13) + 3(x+5)

Therefore, 1/4(10x+8)= -(1/2x+13) + 3(x+5) being examined by three Math Club members for all possible values of x.

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Answer:

x = 5.59

Step-by-step explanation:

tan 90⁰ = 16/x

x = atan 90⁰/16

= 5.5852 (to 5 significant figures)

= 5.59 (to 3 significant figures)

The distance between the points B and C is 12m

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

for the coordinates B (-14,-5) and C(-14, 7), then x1 = -14 ,x-2= -14 , y1= -5 and y2= 7

therefore d =√((x2 – x1)² + (y2 – y1)²) = √((-14– -14)² + (-5 – 7)²)

d=√((0)² + 12²)

d=√144

d= 12m

therefore the distance between the points B and C is 12m.

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Answer: 1: Congruent angles

2: Corresponding Angles

3: 7

Step-by-step explanation:

I'm not entirely sure if I got all of these correct due to the fact I'm not the best when it comes to math, but when I searched the word bank options and looked at the images, I made sure they looks the most similar.

The given system of equations has no solution.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The general equation of a quadratic equation is -

y = ax² + bx + c

We have the following equations -

y = x² + 6x + 3

y = 3x - 7​

Plot the graph of both equations and the points of intersection would be the solution set. Refer to the graph below. There are no points of intersection, hence these set of equations have no solution.

Therefore, the set of equations of line -

y = x² + 6x + 3

y = 3x - 7​

have no solution

Therefore, the given system of equations has no solution.

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Answer:

x is equal to 10 times 5 is the ans

The complete ratio is24:8=3:1.

What is ratio?

By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part to part ratio, whereas the second is a part to whole ratio. The relationship between two separate entities or organisations is shown by the part-to-part ratio. For instance, a class has a 12:15 boy-to-girl ratio, whereas the part-to-whole ratio describes how one group compares to another. For instance, five people enjoy reading books out of every ten persons. Since the ratio of the component to the total is 5:10, 5 out of every 10 persons enjoy reading.

Here the given ratio 24:8=3:?

Let us take missing part as x then,

=> 24:8=3:x

=>24/8=3/x

=>x = 3*8/24

=> x=1

Hence the complete ratio is 24:8=3:1

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The possible real zeros for the function will be:

Positive: 4 or 2

Negative: 1

The Descartes rule of sign is technique which helps us  to find no. of real positive/negative and imaginary zeros a function has.

To apply the rule:

1. Arrange the function in the decreasing value of exponents of variables.

2. The no. of positive real zeros of f(x) will be either equal to the number of sign change or less than the number of sign changes by an even number.

3. For real negative real zeros it will be the same but we will check the sign change of f(-x).

now let's look at the function.

f(x) = 6[tex]x^{7}[/tex] -3[tex]x^{4}[/tex] + 6[tex]x^{3}[/tex] + 9[tex]x^{2}[/tex] - 7x + 4

The sign change here is 4 times so the value of +ve zeros of f(x) will be either 4 or 2.

similarly  let's take f(-x) for negative zeros.

f(x) = 6[tex](-x)^{7}[/tex] -3[tex](-x)^{4}[/tex] + 6[tex](-x)^{3}[/tex] + 9[tex](-x)^{2}[/tex] - 7(-x) + 4

Here sign change is 1 which cannot be decreased by an even no. so it is the only value.

Therefore the positive and negative zeros of the function will be 2 or 4 and 1 respectively.

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The reasons for the possible congruency statements obtained from a similar question on the website are as follows;

Statement               [tex]{}[/tex]                                 Reason

7. ∠BAD ≅ ∠CAD

[tex]\overline{AD}[/tex] ≅ [tex]\overline{AD}[/tex]                       ⇒[tex]{}[/tex]                    Reflexive property

8. ∠2 ≅∠3

m∠2 = m∠3                     ⇒ [tex]{}[/tex]                  Angle congruency postulate

9. [tex]\overline{BE}[/tex] ≅ [tex]\overline{CE}[/tex]

[tex]\overline{DE}[/tex] ≅ [tex]\overline{AE}[/tex]

[tex]\overline{BE}[/tex] = [tex]\overline{CE}[/tex]           [tex]{}[/tex]              ⇒                    Segment Congruence Postulate

[tex]\overline{DE}[/tex] = [tex]\overline{AE}[/tex]           [tex]{}[/tex]              ⇒                    Segment Congruence Postulate

10. AE + BE = AB           [tex]{}[/tex]  ⇒                    Segment Addition Postulate

11. [tex]\overline{AB}[/tex] ≅ [tex]\overline{DE}[/tex]

[tex]\overline{DE}[/tex] ≅ [tex]\overline{AB}[/tex]          [tex]{}[/tex]               ⇒                    Symmetric property

Geometric figures are congruent if their shape and or size are the same.

Reflexive property of congruency

The reflexive property of congruency states that a shape is congruent to itself.

Angle congruency postulate

The angle congruency postulate states that if the measure of two angles are the same, then they are congruent

Segment congruency postulate

The segment congruency postulate states that if the length of two segments are the same, then the segments are congruent

Segment Addition Postulate

The segment addition postulate states a point B is located on a segment AC if and only if AB + BC = AC

Symmetric property of congruency

The symmetric property congruency states that if a geometric figure, A, is congruent to another geometric figure, B, then B is congruent to A

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The required cost function is c(b) = 35b + 475, and the completed table is shown.

A function is a relation where every input is connected to only one possible output from a set of available inputs.

Given that, the cost of the plane ticket is $475 and the cost per checked bag is $35.

The cost of b checked bags is $35b.

Therefore, the total cost is:

c(b) = 35b + 475

The completed table is:

               Number of bags(b)                                  Total cost c(b)

                            0                                                          475

                            1                                                            510

                            2                                                           542

                            3                                                           580

                            4                                                           615

                            6                                                           685

                            8                                                           755

Hence, the required cost function is c(b) = 35b + 475.

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Answer:

Step-by-step explanation:

-5x-25=78

-5x-25+25=78+25

-5x=103

divide both sides by -5

-5x/-5 = 103/-5

x=-103/5

the coordinates of A after translation is (-2, 0)

What is a co-ordinate?

In geometry, a coordinate system may be a system that uses one or a lot of numbers, or coordinates, to unambiguously confirm the position of the points or alternative geometric components on a manifold like Euclidean space.

Main body:

point A = (-5,3)

According to question:

translated by the rules (x,y)- (x+3,y-3)

we need to add 3 to x coordinate and subtract 3 from y coordinate.

New coordinate of A are (-5+3 , 3-3)

Hence New coordinate of A are (-2,0)

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Answer:

See below

Step-by-step explanation:

Sqrt(2x + 29)     - 7    = x        <===answering this version

       add 7 to both sides to get

sqrt(2x+29) = x+7            square both sides

2x+29  =   x^2 + 14x + 49      simplify

x^2 +12x + 20 = 0                  factor

(x+10)(x+2) = 0      shows x can be   -10  or -2

     sub in these values in the original equation to find only the answer

            x = -2 works       then the answer x = -10 is extraneous answer

Answer:

3

Step-by-step explanation:

1) Substitute x with 2

b^8

b^2

2) subtract the index

b^8-2

=b^6

3)b^6 ≠ b^8

therefore, 3 is a lie

The value of fractions are

The given Fractions are :

1. [tex]\frac{3}{4} +\frac{1}{6} =\frac{3*3+2*1}{12} = \frac{9+2}{12} = \frac{11}{12}[/tex]

2. [tex]\frac{8}{9} +\frac{1}{3} =\frac{8*1+3*1}{9} =\frac{8+3}{9} =\frac{11}{9}[/tex]

3. [tex]8\frac{5}{6} +4\frac{7}{10} = \frac{53}{6} +\frac{47}{10} =\frac{5*53+3*47}{30} =\frac{406}{30}= \frac{203}{15}[/tex]

4. [tex]\frac{3}{4} -\frac{7}{16} =\frac{12-7}{16} =\frac{5}{16}[/tex]

5. [tex]9\frac{11}{24} -7\frac{3}{8} =\frac{227}{22} -\frac{59}{8} =\frac{908 - 649}{88} =\frac{259}{88}[/tex]

6. [tex]2\frac{5}{6} -1\frac{1}{4} =\frac{17}{6} -\frac{5}{4} =\frac17*2-3*5}{12} =\frac{34-15}{12} =\frac{19}{12}[/tex]

7. [tex]\frac{2}{3} +\frac{1}{12} = \frac{4*2+1*1}{12} =\frac{8+1}{12} =\frac{9}{12} =\frac{3}{4}[/tex]

8. [tex]5\frac{4}{5} -2\frac{9}{20} =\frac{29}{5} -\frac{49}{20} =\frac{4*29-49*1}{20} =\frac{116-49}{20} =\frac{67}{20}[/tex]

9. [tex]1\frac{3}{4} +1\frac{3}{10} =\frac{7}{4}+\frac{13}{10} =\frac{35+26}{20} = \frac{61}{20}[/tex]

10. [tex]6 -3 \frac{1}{2} = \frac{6}{1} -\frac{7}{2} =\frac{12-7}{2} =\frac{5}{2}[/tex]

11. [tex]3\frac{1}{2} -1\frac{2}{3} =\frac{7}{2} -\frac{5}{3} =\frac{21-10}{6} =\frac{11}{6}[/tex]

12. [tex]8\frac{3}{4} -3\frac{4}{5} =\frac{35}{4} -\frac{19}{5} =\frac{175-76}{20} =\frac{99}{20}[/tex]

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