Solve 5 1/2 = b − 12 1/4.

Answer:

See graph below

Step-by-step explanation:

y = mx + b  The m tells us the slope and the b tells us the y intercept

y = 1/2 x + 5

This tells us that the graph crosses the y axis at (0,5).  The slope t ells us from that point go up 1 and 2 to the right.  Once you have two points, you can draw the line.

Answer:

F for number 14

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

I did the math.

Answer:

756 divided by 36 = 21

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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Answer:

y = 2\(\sqrt{5}\)

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

Here r = 6 [ (0, 0 ) → (6, 0 ) ⇒ r = 6 ]

Since Q lies on the circle then it satisfies the equation

Q = (4, y )

Substitute (4, y ) and r = 6 into the equation

4² + y² = 6²

16 + y² = 36 ( subtract 16 from both sides )

y² = 20 ( take square root of both sides )

y = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

Q = 4, 2\(\sqrt{5}\) )

The y-coordinate for point Q is y = 2√5.

Option A is the correct answer.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is pir^2.

We have,

We know that point Q lies on the circle with a radius of 6, which means that its distance from the center of the circle is 6.

Since the center of the circle is at (0,0), we can use the distance formula to find the possible y-coordinates of point Q:

distance from center to point Q = radius of the circle

√((4 - 0)² + (y - 0)²) = 6

Simplifying the equation, we get:

√(16 + y²) = 6

Squaring both sides, we get:

16 + y² = 36

Subtracting 16 from both sides, we get:

y² = 20

Taking the square root of both sides, we get:

y = ±√20

So the possible y-coordinates of point Q are y = √20 or y = -√20. However, since the circle is in the positive quadrant (where x and y are both positive), the y-coordinate must also be positive.

Therefore,

The possible y-coordinate for point Q is y = √20, which can also be simplified to y = 2√5.

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The given expression is a perfect square trinomial.

Here we have the expression:

\((x^2 - 16)^2\)

Notice that we can rewrite it as:

\((x^2 - 4^2)^2\)

Then we can see that inside the parenthesis we have a difference of squares, but it is squared, so if we define:

\(x^2 = a\\4^2 = b\)

We will have:

\((a - b)^2 = a^2 + -2ab + b^2 = (x^2)^2 - 2*(4^2)*(x^2) + (4^2)^2\)

Which is in fact, a perfect square trinomial.

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Answer:

I gotchu man watch this

Step-by-step explanation:

in order to find x u gotta use tan or toh

opposite over hyp

anyway 17*tan(21)

6.525688596

or 6.53

Answer:

Step-by-step explanation:

tan θ = opposite / adjacent

tan 21 = x / 17

17 tan 21 = x

x = 6.52

The miles for which  Austin drove the truck  is 141 miles

It is given that Austin rents a truck for one day

The daily rental base fee of the truck is $17.99

It is also given that additional charge of 73 cents per mile is charged.

It is also to be noted that 1$ =100 cents

Therefore, 73 cents in the form of dollar is 0.73$

Now it is given that total bill that is paid is $120.92

Now the total number of miles travelled by Austin is total bill minus the base fee and 73 cents multiplied by miles

Let the miles travelled by Austin be 'x'

Therefore, Miles travelled by Austin = 120.92$-17.99$

                                     0.73 x =(120.92 -17.99)  $                      

                                     x= 102.93 / 0.73

                                     x=141

Hence, the miles for which Austin drove the truck is 141 miles

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The inequality y≤ 1/2 x -4 which is shown by red shaded region gives the solution (0, -4) and (8, 0).

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have the Inequality y≤ 1/2 x -4.

Now, we plot the inequality on the Graph as shown by the red region.

As, the inequality intersect the axis at (0, -4) and (8, 0).

Thus, the solution is (0, -4) and (8, 0).

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we know is a right triangle, so one angle must be 90°, we also know is an isosceles, that means it has twin sides, and we also know that the hypotenuse or slanted side is 8, so the triangle must be a 45-45-90 triangle,  Check the picture below.

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The equation that models the given situation is: f(t) = 21e^(-0.000361)t

We can model this situation with an exponential decay function.

f(t) = Pe^(rt)

Where:

f(t) = amount of isotope

P = starting amount

r = growth rate

t = time

Let's assume that there is 1 mg of our isotope. Thus,in 1920 years, we will have 1/2 mg. Thus:

(1/2) = (1)e^(1920r)

Take the natural log of both sides to bring the exponent down and to cancel out the e

ln(1/2) = ln(e^(r(1920))

ln(1/2) = r(1920)

ln(1/2)/1920 = r

r = -0000361

Thus, we have:

f(t) = Pe^(-0.000361)t

Plug in 21 for P to get:

f(t) = 21e^(-0.000361)t

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The factors of 32 as required in the task content are; 2, 4, 8, 16, 32.

The factors of the number 32 as required in the task content are numbers whose multiples amount to 32 and are as listed above.

The item prices as given in the task content rounded to the nearest £1 are;

Notebook

£2.15 = £2

Pencil Case

£3.80 = £4

Colouring Pencil

£1.49 = £1

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Answer:

d) 1/12

Step-by-step explanation:

Step-by-step explanation:

Parallel to the x-axis means it is just a horizontal line with the value being the y-coordinate of the point:

y = -2

Answer:

y=-2

and m=0 must be your answer

Step-by-step explanation:

as line is parallel to x axis its slope will be zero as it does not have any definite x coordinate

so

equation of line is y-y'=m(x-x')

so m=0 m is slope

y'=-2 and x'=4

so by substituting the values

y+2=0

so y=-2

and m=0 is your answer

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Step-by-step explanation:

Ann posted 1/3 of the fliers last week, which means she posted:

1/3 x 48 = 16 fliers

This means that she has 48 - 16 = 32 fliers left to post.

This week, Ann posted 1/4 of the remaining fliers, which means she posted:

1/4 x 32 = 8 fliers

So she has 32 - 8 = 24 fliers still to post. Therefore, Ann has still not posted 24 fliers.

The dimensions of the rectangular box are given as follows:

All the dimensions.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The box's volume is obtained as follows:

54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)

Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.

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The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

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\(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\) is the possible root

What is a root ?

Mathematicians refer to a number as having a root if it can be multiplied by itself to give the original number. The square root of 49, for instance, is 7, as 77=49. 7 is referred to as the square root of 49 in this instance because it takes 49 to multiply 7 by itself twice. Considering that 333=27, the cube root of 27 is 3.

Quadratic equation's roots The roots of a quadratic equation are the values of the variables that fulfill the equation. In other words, if f() = 0, then x = is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.

3x^4 -10x^3 -9x^2 + 40x - 12

=\(\left(3x-1\right)\frac{3x^4-10x^3-9x^2+40x-12}{3x-1}\)

=\(\left(3x-1\right)\left(x^3-3x^2-4x+12\right)\)

= \(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\)

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Answer:

what's that

Step-by-step explanation:

Answer:

13%

Step-by-step explanation:

338/2600

13/ 100

I hope it help

Answer:55:33

Step-by-step explanation:

55:33

Answer:friends

Step-by-step explanation:

Answer:

32.4 dollars

Step-by-step explanation:

Answer:

\(C = (2,-1)\)

Step-by-step explanation:

Given

\(A = (-5,-1)\)

\(B = (-5,3)\)

\(D = (2,3)\)

Required

The coordinate of the fourth point (C)

The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.

The coordinate of such rectangle can be represented as:

\(A = (x_1,y_1)\)

\(B = (x_1,y_2)\)

\(C = (x_2,y_1)\)

\(D = (x_2,y_2)\)

By comparing the general coordinates with the given coordinates, we have:

\(x_1 = -5\) --- see A and B

\(y_1 = -1\) --- see A and C

\(x_2 = 2\) ---- see C and D

\(y_2 = 3\) --- see B and D

So, we have:

\(C = (x_2,y_1)\)

\(C = (2,-1)\)

Answer:

57327392393629324

Step-by-step explanation:

Answer:

um I guess Thank you?

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Step-by-step explanation: