. Factorize a² +3ab - 5ab - 15b²

Answer:

( x+2)^2 + ( y+2) ^2 = 9

Step-by-step explanation:

The center is at (-2,-2)

The radius is 3  which is the number of units from the center to the circles edge

The equation of a circle can be written as

( x-h) ^2 + (y-k) ^2 = r^2  where ( h,k) is the center and r is the radius

( x--2) ^2 + (y--2) ^2 = 3^2

( x+2)^2 + ( y+2) ^2 = 9

8÷7=z and z is the answer you got when you divided,that's how I understand the question

Answer:

a positive 1; negative 3 or 1

Step-by-step explanation:

To determine the number of positive roots, we have to determine the number of sign changes for f(x) = x⁴ + 2x³ - 3x² - 8x - 4.

The coefficients in f(x) are +1, +2, -3, -8, -4.

Since there is only one sign change from +2 to -3, we have 1 positive root.

To determine the number of negative roots, we have to determine the number of sign changes for f(-x) = (-x)⁴ + 2(-x)³ - 3(-x)² - 8(-x) - 4 = x⁴ - 2x³ - 3x² + 8x - 4

The coefficients in f(-x) are +1, -2, -3, +8, -4.

Since there is three sign change from +1 to -2, from -3 to +8, and from +8 to -4. So,we have 3 or 1 negative root, since the number of negative roots is equal to the number of sign changes or an even number less than the number of sign changes. So, 3 -2 = 1

So, the number roots are of positive 1; negative 3 or 1

Answer:

a.positive 1; negative 3 or 1

Step-by-step explanation:

EDGE 2020

Answer:

The 4 packages of 15 tops for $18 is a better deal

Step-by-step explanation:

We can see which set of tops have the lowest unit price.

4 packages of 15 tops for $18:

4*15=60

There is a total of 60 tops for $18, which means each top costs 18/60 dollars, or $0.30.

5 packages of 10 tops for $16

5*10=50

There is a total of 50 tops for $16, which means that each top costs 16/50 dollars, or $0.32.

0.32>0.3

The 4 packages of 15 tops for $18 is a better deal :)

Have a great day

Answer:

Step-by-step explanation:

From the diagram, mAD lies on the line BDF. Sum of angle on a straight line is 180°. According to the line BDF; mAB + mAD = 180°

From the diagram, mAB = 43°. Substituting this value into the above equation;

mAB + mAD = 180°

43° + mAD = 180°

mAD = 180°-43°

mAD = 137°

Hence, the measure of angle mAD is 137°

Answer:

C, 105 Degrees

Step-by-step explanation:

So the two opposite sides of a parallelogram is equal to each other and the two adjacent angles are supplementary. So if (x+40)+3x=180, this means that 4x+40=180. This gives us 4x=140, so x=35. If we plug it back into the equation it ascertains as such: 3(35)= 105. The answer for this question and angle O is 105 degrees, or C.

The measure of angle O in this parallelogram is 105°.

Solution

Because the properties says that opposite angles are equal.

Angle L =  (x + 40)

angle O = (3 x)

Applying the first property

x+40+x+40+3x+3x = 360

x+x+3x+3x+40+40 = 360

8x+80 = 360

8x = 360-80

8x = 280

Divide through the equation by 8

x = 280/8

x = 35

The question wants us to find the value of angle O

O = 3x

O = 3*35

= 105

The value of angle O is equal to 105°

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Answer:

Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle. The inscribed angle's arc measures 36%, and the central angle's arc measure 72%

Answer:

75

%Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle.

Incomplete question. However, let's assume this are feasible regions to consider:

Points:

- (0, 100)

- (0, 125)

- (0, 325)

- (1, 200)

Answer:

Maximum value occurs at 325 at the point (0, 325)

Step-by-step explanation:

Remember, we substitute the points value for x, y in the objective function P = 2x + 1.5y.

- For point (0, 100): P= 2(0) + 1.5 (100) =150

- For point (0, 125): P= 2(0) + 1.5 (125) =187.5

For point (0, 325): P= 2(0) + 1.5 (325) = 487.5

For point (1, 200): P= 2(1) + 1.5 (200) = 302

Therefore, we could notice from the above solutions that at point (0,325) we attain the maximum value of P.

Answer:

[tex]\boxed{\sf 27 \ and \ 29}[/tex]

Step-by-step explanation:

Let the first consecutive odd integer be [tex]\sf x[/tex].

Let the second consecutive odd integer be [tex]\sf x+2[/tex].

The sum of the two numbers is 56.

[tex]\sf x+x+2=56[/tex]

[tex]\sf 2x+2=56[/tex]

[tex]\sf 2x=54[/tex]

[tex]\sf x=27[/tex]

Put x as 27 for the second consecutive odd integer.

[tex]\sf 27+2=29[/tex]

The two numbers are 27 and 29.

38 42 34 54

Step-by-step explanation:

7have the best mayonnaise bianco babi naive albino pig is this real or not be a posible and I am a great day for 53feet

Answer:

The last option

Step-by-step explanation:

Source: Trust bro

Answer:

d) y sqrt 5

Step-by-step explanation:

radicals are like if they have the same index and radicand, here they are both square roots and have a radicand of five

Answer:

g(x)= 0.05x represents the amount of bonus, f(x)=x-3,000 represents weekly sales over $3,000.

Step-by-step explanation:

The function f(x) represents how much money earned by sales person weekly over $3000.

And function g(x) represents the amount of bonus earned by salesperson.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.

According to the given question.

The percent of bonus earned by salesperson weekly on sales over $3,000 is 5%.

Also, we have two functions.

[tex]f(x) = x - 3000[/tex]

and [tex]g(x) = 0.05x[/tex]

For the function, f(x) if x is the amount of money earned salesperson in a week, then f(x) will represents how much money salesperson earned apart form $3000.

And the function g(x) represents the amount of bonus earned by the salesperson.

Hence, the function f(x) represents how much money earned by sales person weekly over $3000. And function g(x) represents the amount of bonus earned by salesperson.

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Answer:

(x+2.4)^2+(y+4.8)^2=2025

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Step-by-step explanation:

Answer:

G

Step-by-step explanation:

We can find a missing length of a triangle using a Pythagorean theorem if and only the triangle is a right angled triangle.

The side of the missing length is:

a^+b^=c^

2^+4^=c^

4+16=c^

20=c^

[tex] \sqrt{20} = c ^{2} \\ 4 \sqrt{5} = c[/tex]

Answer:

Area = 34. 81 yd^2

Perimeter = 86.6 feets

Step-by-step explanation:

Given the following :

Shape of Mrs. Johnson's plot = square

All sides of a square are of equal length

Measure of each side = 5.9 yd

A.) Area of plot

Area of plot = Area of a square

Area of a square(A) = a^2

Where a = side length

A = 5.9^2

A = 34.81 yd^2

B) Perimeter of Basil plot = Perimeter of a square

Converting yard to feet

1 yard = 3feets

Therefore,

5.9 yards = (3 * 5.9) = 17.7 feets

Fence is 2ft from the garden on each side,

Length of fence on each side = (2 + 17.7 + 2) Feets = 21.7 Feets

Perimeter of a square (P) = 4a

Where a = side length

P = 4 × 21.7

P = 86.6 feets

Answer:

86.6 feet

Step-by-step explanation:

Answer:

Distance between balloon and a is = 383.67 m

Step-by-step explanation:

The given situation can be represented as the given diagram as attached in the answer area.

cd = 384 m

cb = 200 m

[tex]\angle adb = 33^\circ[/tex]

To find:

Distance between balloon and a i.e. side ad = ?

Solution:

First of all, let us consider the right angled [tex]\triangle bcd[/tex].

We know the trigonometric identity that:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

[tex]tan\angle cbd =\dfrac{cd}{cb}\\\Rightarrowtan\angle cbd =\dfrac{384}{200}\\\Rightarrowtan\angle cbd =1.92\\\Rightarrow \angle cbd = tan^{-1}(1.92) = 62.49^\circ[/tex]

Now, using the external angle property for the external [tex]\angle cbd[/tex] for the [tex]\triangle abd[/tex]:

(External angle is equal to the sum of two opposite angles of the triangle.)

[tex]\angle cbd = \angle adb+\angle a[/tex]

[tex]\Rightarow \angle a =62.49-33 =29.49^\circ[/tex]

Now, let us consider the right angled [tex]\triangle acd[/tex].

We have the value of [tex]\angle a[/tex] and perpendicular dc.

We have to find the hypotenuse ad.

Let us use the sine identity:

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\angle a =\dfrac{cd}{ad}\\\Rightarrow sin(29.49^\circ) =\dfrac{384}{ad}\\\Rightarrow ad = \dfrac{384}{0.49}\\\Rightarrow \bold{ad = 783.67\ m}[/tex]

So, the answer is:

Distance between balloon and [tex]\bold{a}[/tex] is = 383.67 m

The equation is -1/5x-4 represented by the graph. The correct option is B.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Let us check the equation -1/5x-4. The line goes down one and turns right 5. The Slope is -1/5x and the y-intercept is at -4. The graph of the equation is attached with the answer below.

Hence, option B is correct.

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Solve each equation with (0, 3)

y = -x + 3

3 = -0 + 3

y = 3 (correct since y = 3 in (0, 3))

y = 2x - 3

3 = 2(0) - 3

3 = 0 - 3

3 = -3 (incorrect since it isn't equal)

So... No, because it does not check in the second equation.

Best of Luck!

Answer:

The answer is C.

Step-by-step explanation:

In order to find the solution of the linear equation, you have to find the coordinates where they intersect.

So according to the graph, both lines intersect at the coordinates of ( 0 , 1 ).

(Correct me if I am wrong)

Answer:

1. Cash flow statements; the investing section

Step-by-step explanation:

The cash flow statements is a useful document that shows where the company receives funds and uses it. Thus, it shows both incoming and outgoing cash flow.

The investment section of the cash flow statement is where all the amount of cash paid for acquisitions of property and equipment is imputed. Usually the transactions are written as capital expenditure.

Answer:

x = -8

Step-by-step explanation:

6x - 3 = -51

Add 3 to each side

6x - 3+3 = -51+3

6x = -48

Divide each side by 6

6x/6 = -48/6

x = -8

Answer:

Answer:

The center is (2,8)

Step-by-step explanation:

The equation of a circle is written as

(x-h)^2+ (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-2)^2+(y-8)^2=33

The center is (2,8) and the radius is sqrt(33)

Answer:

ADB and ADC

Step-by-step explanation:

SAS is side angle side. so, which 2 triangles have same side, then angle, then side. We have to have it in that specific order.

Answer:

ABD and ECD

Step-by-step explanation:

EDC and ADB are vertical angles, so that is the angle we need for the SAS postulate. The markings on each of the corresponding sides is the same, which means we have 2 congruent sides, as well as an angle.

Answer:

v=√E/m or v=√E /√m

Step-by-step explanation:

Complete question below:

The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of

the object.

E = mv^2

Solve the formula for v.​

Solution

E=mv^2

Where,

E=kinetic energy

m=mass

v=speed of the object

E=mv^2

Divide both sides by m

E/m=mv^2/m

E/m=v^2

It can be rewritten as

v^2=E/m

Square root both sides

√(v^2)=√E/m

v=√E/m

Or

v=√E/√m

This is to say speed (v)=square root of kinetic energy (E) Over masa(m)

Answer:

y = 2x + 4

Step-by-step explanation:

y = mx + b

b = y-intercept = 4

m = slope = rise/run = 4/2 = 2

y = 2x + 4

Answer: Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

We must work with linear equations, remember that the general shape is:

y = a*x + b

where a is the slope and b is the y-intercept.

Ok, first we want to find the rate of change (or the slope) of the graphed line:

We know that for a line that passes through the points (x1, y1) and (x2, y2)

The slope is:

a = (y2 - y1)/(x2 - x1)

Then for the graphed function, we can see that it passes through the points:

(0, -2) and (4, 0)

Then the slope is:

a = (0 -(-2))/(4 - 0) = 2/4 = 1/2

Now, the slope of the second line is 15/4.

Let's calculate the difference between the slopes:

15/4 - 1/2 = 15/4 - 2/4 = 13/4

(notice that we are calculating slope2 - slope1)

Then the correct option is:

Function 2 has a greater rate of change by 13/4

Answer:

B) Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

Answer:

64.08

Step-by-step explanation:

3^16.90+1*20.50-7.12

Answer:

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

Step-by-step explanation:

If we have the equation [tex]3x = 12-4y[/tex], we can simplify this equation down.

Divide both sides by 3:

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

Hope this helped!

Answer:

X = 4 minus four-thirds y

Step-by-step explanation:

Well to solve for x we single it out.

3x = 12 - 4y

Divide 3 by everything,

x = 4 - 4/3y

Thus,

X = 4 minus four-thirds y.

I do hope this helps :)

Inequalities are used to show unequal expressions; in other words, it is the opposite of equalities.

The inequality that represents the scenario is, [tex]18 + 0.08B \ge 75[/tex] and the smallest number of balls Carolina can buy is 713

Given that:

[tex]Entrance\ Fee = \$18[/tex]

[tex]Rate = \$0.08[/tex] per ball

Let:

[tex]B \to Balls[/tex]

The amount (A) Carolina can spend on B balls is:

A = Entrance Fee + Rate * B

This gives:

[tex]A = 18 + 0.08 * B[/tex]

[tex]A = 18 + 0.08B[/tex]

To get $10, Carolina must spend $75 or more.

This means:

[tex]A \ge 75[/tex]

So, the inequality is:

[tex]18 + 0.08B \ge 75[/tex]

The smallest number of balls is calculated as follows:

[tex]18 + 0.08B \ge 75[/tex]

Collect like terms

[tex]0.08B \ge 75 - 18[/tex]

[tex]0.08B \ge 57[/tex]

Divide both sides by 0.08

[tex]B \ge 712.5[/tex]

Round up

[tex]B \ge 713[/tex]

Hence, the inequality is [tex]18 + 0.08B \ge 75[/tex] and the smallest number of balls is 713

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Using a linear function, it is found that:

-----------

The linear function for the cost of B paintballs has the following format:

[tex]C(B) = C(0) + aB[/tex]

In which

-----------

Question 1:

Thus:

[tex]C(B) = 18 + 0.08B[/tex]

[tex]C(B) \geq 75[/tex]

[tex]18 + 0.08B \geq 75[/tex], given by option B.

-----------

Question 2:

[tex]18 + 0.08B \geq 75[/tex]

[tex]0.08B \geq 57[/tex]

[tex]B \geq \frac{57}{0.08}[/tex]

[tex]B \geq 712.5[/tex]

Rounding up, she has to buy at least 713 paintballs.

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