f(x) = 3x - 4

x is -2

Answer:

(i) interest = $1680

(ii) total amount = 13680

Step-by-step explanation:

Interest.

12000 × 14/100

=168000/100

=1680

Total amount.

Interest + Loan

1680 + 12000

=13680

Answer:

The x-intercept = -3/2

Step-by-step explanation:

Set y = 0 to find the x-intercepts;

=> y = 4x + 6

=> 0 = 4x + 6

=> 0 - 6 = 4x

=> -6 = 4x

=> -6/4 = x

=> -3/2 = x

Therefore the x-intercept = -3/2

Hope this helps!

Answer:

1 : 12

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

24/2 = 12

1 : 12

Answer:

243

Step-by-step explanation:

formula is

Un = ar^n-1

U7 = ar^7-1

U7 =ar^6

U7 =1/3 ×3^6

where a=1/3 and r= 3

U=243

Answer:

the mode is found by how much of the same number there is making the mode 1

the average is found by adding up all of it and dividing it by how many there is making it 4.2 if you need to round it, tha anwser is 4

Answer:

11.25cm^2

Step-by-step explanation:

given the area of the rectangle as 40cm^2, we can get the width of the rectangle.

Area =Length x width

40cm^2 = 8cm x width

we can divide both sides 8 to be left with the width

40/8 = 5cm

so the width is 5cm which is equal to the height of the triangle.

Area of BDC = 1/2 x base x height

BDC = 1/2 x 4.5 x 5

=11.25cm^2

Answer:

[tex]85\:\mathrm{units^2}[/tex]

Step-by-step explanation:

All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.

All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.

Therefore, let [tex]h[/tex] be the side length of this largest square. Since the area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex], [tex]h^2[/tex] will represent the area of the square:

[tex]\sqrt{35}^2+\sqrt{50}^2=h^2=\boxed{85\:\mathrm{units^2}}[/tex]

Answer:

85

Step-by-step explanation:

We can use the Pythagorean theorem (a^2+b^2=c^2) to find the area of square adjacent to the third side.

Area of a square=side^2

So, we can substitute the areas of the squares that share side lengths with the triangle for a^2, b^2, and c^2 in the Pythagorean theorem.

For example, in the diagram above, the area of the square that shares a side with side length a is 35 square units. So, a^2=35.

Let's fill in the remaining values:

a^2 + b^2 = x^2

35+50-x^2
85=x^2
The area of the square adjacent to the third side of the triangle is 85 units^2.

Answer:

F=0.46N

Step-by-step explanation:

[tex]F[/tex]∝[tex]\frac{1}{d^{2}}[/tex],

[tex]F=\frac{k}{d^{2} } \\[/tex]

[tex]F=0.35N, d=8m\\[/tex]

[tex]0.35=\frac{k}{8^{2} }[/tex]

[tex]k=0.35\times 8^{2} \\\\k=22.4\\F=\frac{22.4}{d^{2} } \\d=7m, F=\frac{22.4}{7^{2} } =0.46N[/tex]

Answer:

:)

Step-by-step explanation:

[tex]M = 3x^2y^3-4xy +x^3y\\\\2M = 2 \times (3x^2y^3-4xy +x^3y) \\\\[/tex]

      [tex]= 6x^2y^3 - 8xy + 2x^3y[/tex]

[tex]N = -2x^3y + 6x^2y^3 -8xy -8[/tex]

   [tex]= 6x^2y^3 -8xy -2x^3y -8[/tex]                 [tex][ re-arranging \ the \ terms][/tex]

a)

[tex]2 M - N = ( 6x^2y^3 -8xy +2x^3y) - (6x^2y^3-8xy -2x^3y - 8)[/tex]

            [tex]= 6x^2y^3 - 8xy +2x^3y -6x^2y^3 +8xy +2x^3y + 8\\\\= 4x^3y +8[/tex]

b)

[tex]2M - N \ for \ x = -1 \ and \ y = 2: (4(-1)^3\times (2)) + 8 = -8 + 8 = 0[/tex]

Answer:

Step-by-step explanation:

25 x 6/5 = 30

Answer:

3 + ( -7 )

7 - 3

= 4 is the answer

Answer:

Step-by-step explanation:

∠EMC  = ∠EMD + ∠DMC

∠EMC = 90

∠EMD + ∠DMC = 90

∠EMD + 20 =90

∠EMD  = 90 - 20

∠EMD  = 70

∠FMD + ∠DMB = 180  {Linear pair}

90 + ∠DMB = 180

        ∠DMB = 180 - 90

       ∠DMB = 90

Answer:

yuh?

and what help do you need from me?

im a math genius, thank you very much

:)

Answer:

y = 4 x + 24 i think thats the answer if not im sorry

Step-by-step explanation:

Answer:

[tex]L=1+20i[/tex]

[tex]B=3+20i[/tex]

Step-by-step explanation:

From the question we are told that:

Area [tex]A=440cm^2[/tex]

Generally the equation for For Area is mathematically given by

 [tex]A=L*B[/tex]

 [tex]A=x*(x-2)[/tex]

Therefore

 [tex]x^2-2x-440=0[/tex]

 [tex]x=1+20i[/tex]

Therefore The Dimensions are

  [tex]L=1+20i[/tex]

 [tex]B=1+20i+2[/tex]

 [tex]B=3+20i[/tex]

Answer:

Step-by-step explanation:

If the diagonals of the rectangle are congruent,

AC = BD

By using formula to calculate the distance between two points,

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

Distance between A(0, -3) and C(2, 8),

AC = [tex]\sqrt{(8+3)^2+(2-0)^2}[/tex]

     = [tex]\sqrt{125}[/tex]

     = [tex]5\sqrt{5}[/tex]

Similarly, distance between two points B(-4, 0) and D(6, 5),

BD = [tex]\sqrt{(5-0)^2+(6+4)^2}[/tex]

     = [tex]\sqrt{125}[/tex]

     = [tex]5\sqrt{5}[/tex]

Therefore, both the diagonals are congruent.

Hence, given quadrilateral ABCD is a rectangle.

10.) x-23=-3x+5

x+3=5+23

4x=28

12.) -4ab+5-(-2ab + 3)

-4ab+5+2ab-3

13.) (-3)+(-5)

-3 -5

Answer:

It would be 1 or just w

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

x = -5 +- √5^2 -4 x 2 x 4/ 2 x 2

x = -5 +- √-7/4

d = -7

The square root can't be a negative number so it is no solution.

Answer:

I think it is 4

I am not sure about it

Answer:

253 miles

Step-by-step explanation:

Ratio:

115:5 and x:11

Method 1:

115/5 = x/11

1265 = 5x                     (cross multiplying)

x = 253 miles

Method 2:

11/5 = 2.2

2.2 x 115 = 253

253 miles

Method 3:

115 / 5 = 23

23 x 11 = 253

253 miles

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

√73

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

√[-6 - (-3)]² + (-7 - 1)²

√(-3)² + (-8)²

√(9) + (64)

√73

8.5

Answer:

The dependent variable is y (the amount paid)

Step-by-step explanation:

Given

[tex]y = 5x[/tex]

Where

[tex]x \to[/tex] number of movies

[tex]y \to[/tex] amount paid

Required

The dependent variable

From the question, we have:

[tex]y = 5x[/tex]

This means that the value of y is determined by the value of x.

Take for instance:

[tex]x = 2[/tex]

The value of y will be:

[tex]y =5*2 = 10[/tex]

If x changes (say; x = 12), y will also change

[tex]y =5*12 = 60[/tex]

Hence, y is the dependent variable

Answer:

13 2/11

Step-by-step explanation:

40/11+105/11

145/11

13 2/11

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{= \ 3\dfrac{7}{11}+ 9\dfrac{6}{11}}[/tex]

[tex]\mathsf{ 3\dfrac{7}{11} =\boxed{ \bf \dfrac{40}{11}}}[/tex]

[tex]\mathsf{9\dfrac{6}{11}= \boxed{\bf \dfrac{105}{11}}}[/tex]

[tex]\mathsf{= \ \dfrac{(40\times11)+(105\times11)}{(11\times11)}}[/tex]

[tex]\mathsf{40\times11=\boxed{\bf 440}}[/tex]

[tex]\mathsf{105\times11=\boxed{\bf 1,155}}[/tex]

[tex]\mathsf{=\ \dfrac{440+ 1,155}{11\times11} }[/tex]

[tex]\mathsf{11\times11=\boxed{\bf 121}}[/tex]

[tex]\mathsf{\dfrac{440+1,155}{121}}[/tex]

[tex]\mathsf{440 + 1,155=\boxed{\bf 1,595}}\leftarrow\mathsf{Your\ numerator\ (TOP\ number)}[/tex]

[tex]\mathsf{= \dfrac{1,595}{121}}[/tex]

[tex]\mathsf{= 13\dfrac{2}{11}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\boxed{\bf \dfrac{1,595}{121}\ or\ 13 \dfrac{2}{11}}\\\large\textsf{either one of those should work they equal the same}}}}\huge\checkmark}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

V =128 pi

Step-by-step explanation:

The volume of the cylinder is given by

V = pi r^ h

V = pi 4^2 *8

V = pi *16*8

V =128 pi

Answer:

$5.50

Step-by-step explanation:

10 - 4.50 = 5.50

Answer:

i think its c

Step-by-step explanation:

Answer:

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in.