enter a number in the box so that the equation will have infinitely many solutions.

Answer:

3,-8

Step-by-step explanation:

x: from -3 to 0   is  +3    add +3 more     3

y: from -2 to -5 is   -3     add -3 more    -8

The better deal based on the information is mortgage A as it's cheaper.

From the information given, the loan amount for mortgage A will be:

= 3% × $4500

= $135

The loan amount for mortgage B will be:

= 6% × $7500

= $450

From the information, the better deal is mortgage A.

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Answer:

-16.

Step-by-step explanation:

2/3 * (-3) * (4*5 + 6 - 2(-3)^2)

= -2(20 + 6 - 18)

= -2 * 8

= -16.

Answer:

hope you can understand

The distance of the robot from the charging base is gotten as; 62 cm

From the image attached showing the movement of Kapil's robot, we can use cosine rule to find the value of h which is the distance of the robot from the charging base.

The distance of the robot from the charging base is gotten by;

h = x² + b² - 2xb cos 60

h = 50² + 70² - 2*50*70 * 0.5

h = 62 cm

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Answer:

Freshmen to sophomores - (17:19)

Sophomores to freshmen - (19:17)

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

[tex]f(x) = (x - (7 + i)) (x - (5 - i))[/tex]

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

[tex]f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))[/tex]

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

[tex]f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48[/tex]

Answer:

C on edge 23

Step-by-step explanation:

because i said so

Answer:

y=586.4

Step-by-step explanation:

64^2= 64x64 = 4096

4096-7y+9=0

4105-7y=0    1. +7y on both sides

4105=7y       2. /7 on both sides

y=586.4

Answer:

this is your answer

hope it will help you

Answer:

a) x = 1

Step-by-step explanation:

Given: 2x + 3 = 5

1. Subtract 3 from both sides:

2x + 3 - 3 = 5 - 3

⟹ 2x = 2

2. Divide both sides by 2:

2x ÷ 2 = 2 ÷ 2

⟹ x = 1

3. Check your work:

2(1) + 3 = 5

2 + 3 = 5

⟹ 5 = 5 ✔

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To find differences in the angles of the intersections we must know how many degrees each angle corresponds to. We must also take into account that the sum of the internal angles must equal 180°.

A triangle is a polygon that is characterized by having three sides, three vertices, and three angles. An indispensable rule of the interior angles of the triangles is that they must add up to 180º.

Triangles are classified according to their characteristics as shown below:

According to the above, depending on the measurements of the length of the sides and the angles of a triangle, its characteristics and classification change.

Note: This question is incomplete because the image is missing. However I can answer it based on my general prior knowledge.

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[tex]~~~~~~\dfrac{2x-3}{4} = 3x\\\\\implies 2x-3 = (3x)(4)\\\\\implies 2x -3 = 12x \\\\\implies 12x -2x = -3\\\\\implies 10x = -3\\\\\implies x = -\dfrac{3}{10}[/tex]

Answer:

x = -3/10

Step-by-step explanation:

Given :

[tex]\frac{2x-3}{4} = 3x[/tex]

============================================================

Multiply both sides with 4 :

⇒ [tex]4 \times \frac{2x-3}{4} = 4 \times 3x[/tex]

⇒ 2x - 3 = 12x

============================================================

Subtract 2x from both sides :

⇒ 2x - 3 - 2x = 12x - 2x

⇒ -3 = 10x

⇒ x = -3/10

Answer:

angle 700 < angle 1120 pounds

Answer:

Step-by-step explanation:

Explanation

On a 6 sided die, there are three even numbers (2,4,6)

That's 1/2 the number on the die.

So getting 6 even numbers is

P(6) = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 0.00781

Where did that extra 1/2 come from? Well one of the numbers thrown was an odd number, and it has to be counted.

P(7) = the same answer.                            0.00781

Total                                                           0.0156

This is not an identity.

[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} \neq \sec(x)[/tex]

Check x = π/4, for which we have cos(π/4) = sin(π/4) = 1/√2. Together with sin(2•π/4) = sin(π/2) = 1 and cos(2•π/4) = cos(π/2) = 0, the left side becomes 1, while sec(π/4) = 1/cos(π/4) = √2.

Keeping the left side unchanged, the correct identity would be

[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = -2\cos(x) + 1 + \sec(x)[/tex]

To show this, recall

• sin(2x) = 2 sin(x) cos(x)

• cos(2x) = cos²(x) - sin²(x)

• cos²(x) + sin²(x) = 1

Then we have

[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = \dfrac{2\cos(x)\sin(x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = \dfrac{\sin(2x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)(\cos^2(x) - \sin^2(x))}{2 \sin(x)\cos(x)} \\\\ = 1 - \dfrac{\cos^2(x) - \sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{\sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{1 - \cos^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \sec(x) - \cos(x) \\\\ = -2\cos(x) + 1 + \sec(x)[/tex]

Answer: 18 kilograms

Step-by-step explanation:

If each pumpkin weighs 3 kilograms and the farmer has 6 pumpkins the equation would be 6x3=18 in order to find the mass of the farmer's pumpkins.

Step-by-step explanation:

3x and 2x are like terms so,

3x + 5 - 2x

3x - 2x + 5 = x + 5

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to simplify the expression

[tex]\star~~\large\pmb{3x+5-2x}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

The like terms here are: 3x-2x; let's combine them:

[tex]\star~\large\pmb{x+5}[/tex]

We can't simplify this any further, because x and 5 are not like terms.

[tex]\ddot\bigstar[/tex] Remember this...

[tex]\fbox{Variables\:and\;numbers\;are\;not\;like\;terms}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

To calculate the area of the complex shape:

 ⇒ must separate the shape into simpler shape

Let's calculate:

            [tex]Area = 9*6+9*6=54+54=108[/tex]

             [tex]Area= 9*3=27[/tex]

             [tex]Area = \frac{1}{2}* 3*5.4+\frac{1}{2}* 3*5.4=8.1+8.1=16.2[/tex]

Total Area = [tex]108+27+16.2= 151.2[/tex]

Answer: 151.2 ft²

Hope that helps!

Answer:

The answer is the first bullet. (number 1)

The equation we can use to find the value of x in the diagram given is: B. (5x + 30) + 5x = 90.

Angles that give a sum of 90 degrees when added are referred to as complementary angles.

The angles, (5x + 30) and 5x are complementary angles, since the sum of both gives a right angle (90 degrees).

Therefore, the equation that we can use to find x in the diagram is: B. (5x + 30) + 5x = 90.

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Answer:

QR = 3

Step-by-step explanation:

given that Q is on the segment PR , then

PQ + QR = PR ( substitute values )

16 + QR = 19 ( subtract 16 from both sides )

QR = 3

The calculated length of the segment QR is 3 units

From the question, we have the following parameters that can be used in our computation:

Point Q is on line segment PR

PQ = 16 and PR = 19

using the above as a guide, we have the following:

PQ + QR = PR

substitute the known values in the above equation, so, we have the following representation

16 + QR = 19

So, we have

QR = 19 - 16

Evaluate

QR = 3

Hence. the length of the segment QR is 3

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Answer:

[tex]d = \sqrt{109}[/tex]

Step-by-step explanation:

Use the distance formula.

[tex]\text{The distance between two points } (x_1, y_1) \text{ and } (x_2, y_2) \text{ is given by the formula:}\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Your points are (-4, 11) and (6, 8).

[tex]d = \sqrt{(-4 - 6)^2 + (11 - 8)^2}\\\\d = \sqrt{(-10)^2 + (3)^2}\\\\d = \sqrt{100 + 9}\\\\d = \sqrt{109}[/tex]

Answer:

y=1

Step-by-step explanation:

In order to solve this problem, you have to substitute 3 in for x. Then you would multiply 3 by 3, which equals 9. Subtract 9 from 10, equals 1.

I included a picture so you can see the work.

Hope this helped!

Answer:

141/1.95 km/hr, or 72.308 km/hr

Step-by-step explanation:

To find the average speed, we need to know the total distance traveled / time (hours).
The total distance is 72 km + 69 km =  141 km.
The total time is 48 minutes / 60 (because we want this in hours, not minutes) + 69/60 = 1.95 hours
141/1.95 =  72.3 km/hr

Based on the table, the rate of change of the weight of the rabbit in pounds per week will be 1.75 pounds.

In the first week, there's 9.5 pounds. This can be illustrated using the arithmetic progression. The formula will be:

= a + (n - 1)d

where,

a = first term

d = common difference

3rd term = a + 2d

13 = 9.5 + 2d

2d = 13 - 9.5

2d = 3.5

d = 3.5/2

d = 1.75

Therefore, the rate of change of the weight of the rabbit in pounds per week will be 1.75 pounds.

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Monetary policy is the actions taken by the reserve banks to influence the real GDP and the inflation rate in the economy.

These are actions done by the central bank of a country and involves adjusting money supply so as to achieve economic growth.

This influences the real gross domestic product and inflation rate of the country .

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Answer: Monetary and Reserve Bank

Step-by-step explanation:

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