ASAPPPPP -6.75 * (-4.2)

Answer:

x ≤ - 27

Step-by-step explanation:

[tex]\frac{x}{-9}\ge \:3\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\frac{x\left(-1\right)}{-9}\le \:3\left(-1\right)\\\\Simplify\\\\\frac{x}{9}\le \:-3\\\\\mathrm{Multiply\:both\:sides\:by\:}9\\\\\frac{9x}{9}\le \:9\left(-3\right)\\\\\mathrm{Simplify}\\\\x\le \:-27[/tex]

The solution of the given inequality is x ≤ -27.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The given inequality ( x / -9) ≥ 3 is solved as:-

( x  / -9 ) ≥ 3

Multiply both sides by ( -1 ).

-1 ( x  / -9 ) ≥ -3

x / 9 ≤ -3

x ≤ -27

Hence, the solution is x ≤ -27.

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Answer:

The x intercept is (-15/4 ,0)

Step-by-step explanation:

To find the x intercept, set y = 0 and solve for x

y = 4x+15

0 = 4x+15

subtract 15 from each side

-15 = 4x+15-15

-15 = 4x

Divide by 4

-15/4 = 4x/4

-15/4 = x

The x intercept is (-15/4 ,0)

Answer:

2-(-3)=2+3=5

-7+4=-3

Step-by-step explanation:

Answer:

2 - (-3) is 5 because (-) × (-) is (+)

And for -7 + 4 is 3 because (-) × (+) is (-).

Answer:

- 55

Step-by-step explanation:

a = −6, b = −5

Answer:

213 x 112

Step-by-step explanation:

You have to multiply the recipe with the amount of times it's made.

Answer:

213 cups of beans.Keith is making 112 times the recipe.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

-3a² - b³ + 3c² - 2b³

= -3(2)² - (-1)³ + 3(3)² - 2(-1)³

= -3(4) - (-1) + 3(9) - 2(-1)

= (-12 + 1 )+ (27 + 2)

= -11 + 29

= 18

Answer:

18

Step-by-step explanation:

a = 2, b = -1, c = 3

-3a^2 - b^3 + 3c^2 - 2b^3

-3(2^2) - (-1^3) + 3(3^2) - 2(-1^3)

-3(4) - (-1) + 3(9) - 2(-1)

-12 + 1 + 27 + 2

-12 + 30

18 <===

Answer: $112.50 ; $4612.5

Step-by-step explanation:

a) Determine how much interest Christine paid at the end of 1 year.

This will be:

Simple interest = PRT/100

where

P = principal = $4500

R = rate = 2.5%

T = time = 1 year

Interest = (4500 × 2.5 × 1)/100

= 11250/100

= $112.50

b) Determine the total amount Christine will repay the bank at the end of 1 year.

Total amount = Principal + Interest

= $4500 + $112.50

= $4612.5

Answer:

Step-by-step explanation:

[tex]1-5\left(3+2\cdot \:3\right)=-44\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3+2\cdot \:3\right)\::\quad 9\\\\=1-5\cdot \:9\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:5\cdot \:9\::\quad 45\\\\=1-45\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:1-45\:\\\\:\quad -44[/tex]

Answer:

-36

Step-by-step explanation:

1-5(3+2x3)

-4(3+2x3)

-4(3+6)

-12-24

-36

Hope this helps ;) ❤❤❤

Answer:

  √89

Step-by-step explanation:

The distance formula is good for this.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = ((6 -(-2))^2 +(-1-4)^2) = √(64 +25)

  d = √89

The distance between the point is √89 units.

Answer:

-10

Step-by-step explanation:

g(x) = -3x^2 +4x+5

Let x = 3

g(3) = -3*(3)^2 +4*3+5

     = -3*9 +12+5

     = -27+12+5

     = -10    

Answer:

g(3) = -10

Step-by-step explanation:

g(x) = -3x^2 + 4x + 5

g(3) = -3(3^2) + 4(3) + 5

g(3) = -3(9) + 12 + 5

g(3) = -27 + 12 + 5

g(3) = -15 + 5

g(3) = -10

Answer:

[tex] \alpha + \beta = \sqrt{2} [/tex]

[tex] \alpha \beta = \frac{1}{3} [/tex]

The quadratic equation is given by

[tex]y = {x}^{2} - ( \alpha + \beta )x + \alpha \beta [/tex]

[tex]y = {x}^{2} -x \sqrt{2} + \frac{1}{3} [/tex]

Answer:

You wont have any coins left. You will have a negative number of coins because 20 x 4 = 80. 80 - 50 = 30. You will need to owe 30 coins

Answer:

[tex]\Huge \boxed{\mathrm{0.45}}[/tex]

Step-by-step explanation:

1/5 in decimal form is 0.2

1/4 in decimal form is 0.25

1/5 + 1/4

0.2 + 0.25 = 0.45

Answer:

1/5 + 1/4 = 9/20.

9/20 = 0.45

Answer:

[tex](-3,-12)[/tex]

[tex]x=-3, y=-12[/tex]

Step-by-step explanation:

So we have the system:

[tex]3x+y=-21\\y=4x[/tex]

To solve this, we can do some substitution. Substitute the y in the first equation for the 4x in the second:

[tex]3x+y=-21\\3x+(4x)=-21[/tex]

Combine like terms:

[tex]7x=-21[/tex]

Divide both sides by 7. The left side cancels:

[tex](7x)/7=(-21)/7\\x=-3[/tex]

So we determined that x is -3. Now, plug this number back into the second equation:

[tex]y=4x\\y=4(-3)=-12[/tex]

So the solution is:

[tex](-3,-12)[/tex]

Answer:

[tex]\Large \boxed{x=-3 \ } \\ \\ \Large \boxed{y=-12}[/tex]

Step-by-step explanation:

3x + y = -21

y = 4x

Substitue y = 4x in the first equation.

3x + 4x = -21

Combine like terms.

7x = -21

Divide both sides by 7.

x = -3

Let x = -3 for the second equation.

y = 4(-3)

Multiply.

y = -12

The solution for the system of equations is x = -3 and y = -12.

Answer:

a=6 x=1

Step-by-step explanation:

4x1=4 4-2=2

2+6=8

Answer:

a=3 i think, sorry if i'm wrong

Step-by-step explanation:

4x-2(x+a)=8     ~parenthesis first.

4*7-14-2a=8     ~4 times 7= 28 and just bring down the rest.

28-14-2a=8      ~ add 14 to negative 14 and 8, the positive and negative 14 would cancel out each other.

28-2a=22        ~ subtract 28 from both positive 28 and 22.

-2a=-6             ~ divide by 2 on both sides.

  a=3               ~ The reason why it is 3 is because negative 2 times positive 3 equals  negative 6.

Answer:

Step-by-step explanation:

The equation is not properly formatted presumably here is the format.

Given

[tex]f(x) = 2x^2 + 4[/tex]

determine f(2) , and f(−1).

So we are expect to perform substitution operation and return an answers for values of x= 2 and x= -1

1. When x= 2 we have

[tex]f(2) = 2*2^2 + 4\\\\f(2)= 2*4+4\\\\f(2)= 8+4\\\\f(2)= 12[/tex]

2. When x= -1 we have

[tex]f(-1) = 2*-1^2 + 4\\\\ f(-1)= 2*1+4\\\\ f(-1)= 2+4\\\\ f(-1)= 6[/tex]

Hey there! I'm happy to help!

We want to find how much more 5/6 is than 1/2. To do this, we simply subtract 1/2 from 5/6. This will show us how much more 5/6 is.

First, we multiply 1/2 by 3/3 so that the denominator is 6.

1/2×3/3=3/6

Now, we subtract this from 5/6.

5/6-3/6=2/6

We can simplify this to 1/3.

Therefore, Methuki used 1/3 scoop more of brown sugar than white sugar while making desserts for Fun Day.

Have a wonderful day! :D

Answer:

30 terms

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here d = 5 and a₃ = 13, thus

a₁ + 2d = 13

a₁ + 2(5) = 13

a₁ + 10 = 13 ( subtract 10 from both sides )

a₁ = 3

Thus

[tex]a_{n}[/tex] = 3 + 5(n - 1) = 148 ( subtract 3 from both sides )

5(n - 1) = 145 ( divide both sides by 5 )

n - 1 = 29 ( add 1 to both sides )

n = 30

The progression has 30 terms

Answer: 6 cm

Step-by-step explanation:

Given: The ratio of the areas of two similar  parallelograms is 4:9.

To find : The height of the  bigger one if the smaller is of height 4 cm.

Let h be the height of the  bigger one.

Since the areas of similar figures are proportional to the square of their corresponding sides.

Then, [tex]\dfrac{4^2}{h^2}=\dfrac{4}{9}[/tex]

[tex]\dfrac{16}{h^2}=\dfrac{4}{9}\\\\\Rightarrow\ h^2=\dfrac{9}{4}\times16\\\\\Rightarrow\ h^2=36\\\\\Rightarow\ h= 6\ cm\ \ \ \ \text{[ height cannot be negative.]}[/tex]

Hence, the height of bigger parallelogram = 6 cm

Answer:

x = 10

Step-by-step explanation:

a² + b² = c²

6² + 8² = c²

36 + 64 = 100

√100 = ±10

x = 10

Answer:

10

Step-by-step explanation:

We can use the Pythagorean Theorem to find the value of x.

It states that in a right triangle, [tex]a^2 + b^2 = c^2[/tex].

A and b are the sides, while c is the hypotenuse.

We already know the measure of a and b, so we can find the measure of c easily.

[tex]6^2 + 8^2 = c^2\\\\36+64=c^2\\\\100=c^2\\\\10=c[/tex]

Hope this helped!

Answer:

1.53 £

Step-by-step explanation:

9×17 = 153p

we know this because there are 5 days left in November and 12 days in December (hence the 17).

Answer:

The correct answer would be No fine is paid if the DVD is returned by the due date, because the first 0 means it is 0 days overdue, so it is returned on time, and the second 0 means the fine would be $0

Step-by-step explanation:

Answer:

6103.07 inches ^ 3

Step-by-step explanation:

Step 1: Find the volume of the head

d = 12

r = d/2

r = 6

[tex]=\frac{4}{3} (3.14)6^{3} \\=904.78 inches^{3}[/tex]

Step 2: Find the volume of the body

d = 16

r = d/2

r = 8

[tex]=\frac{4}{3} (3.14)8^{3} \\=2144.66inches^{3}[/tex]

Step 3: Find the volume of the legs

d = 18

r = d/2

r = 9

[tex]=\frac{4}{3} (3.14)9^{3} \\=3053.63 inches^{3}[/tex]

Step 4: Add the volumes together

[tex]904.78 +2144.66+3053.63=Volume[/tex]

[tex]6103.07=Volume[/tex]

Therefore the volume of the snowman is 6103.07 inches ^ 3

the building is twenty feet

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

The answer is $330.73.

Step-by-step explanation:

The answer is $330.73.

Step 1. Calculate simple interest: I = ?

Step 2. To get account balance add simple interest to the principal amount:

I + P = ?

Step 1. Calculate simple interest.

I = P * r * t

P - principal

r - rate

t - time period

We have:

P = $278.16

r = 2.1% = 2.1/100 = 0.021

t = 9

I = 278.16 * 0.021 * 9 = 52.57

Step 2. To get account balance add simple interest to the principal amount:

I + P = ?

52.57 + 278.16 = 330.73

We can distribute the outer x to each term inside

x(x-6) = x^2-6x

So the original equation turns into

x^2-6x = 20

Then you could subtract 20 from both sides to get everything to the same side

x^2-6x-20 = 20-20

x^2-6x-20 = 0

This quadratic equation is in the form ax^2+bx+c = 0 with a = 1, b = -6, c = -20.

The presence of the x^2 term, and having it be the largest exponent, is what makes this a quadratic.

Answer:

Answer is A

Step-by-step explanation:

[tex]m = y2 - y1 \div x2 - x1 \\ y2 = m(x2 - x1) + y1[/tex]

Answer:A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12 . What is the number.

Step-by-step explanation:Let p/q (q ≠ 0) denote the rational number. Multiplying it by 5/2 gives (p/q)(5/2). Add 2/3 to the product and we get (p/q)(5/2) + 2/3 . The result is given to be -7/12.

∴ (p/q)(5/2) + 2/3 = -7/12 …………………………..……………………………………..(1)

Transposing 2/3 to right-hand-side and changing the sign to negative,

(p/q)(5/2) = -2/3 -7/12 = -(2/3 + 7/12) =- (2 x 4 + 7)/12 (Taking L.C.M.)

Or, (p/q)(5/2) = -(8+7)/12 = - 15/12

Multiplying both sides by 2/5,

(p/q)(5/2) x (2/5) = -15/12 . 2/5 = -(3x5)/(3x4) . 2/5 =- 5/4 .2/5

Since 2/5 is the multiplicative inverse of 5/2, 5/2 x 2/5 = 1 and we obtain

(p/q).1 = -1/4 . 2/1 = -1/2

⇒ p/q = -1/2 which is a negative rational number in which p = 1 and q = 2 ≠ 0 .

∴ the rational number = -1/2

Complete the squares to get

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

[tex]\implies(x^2-2x+1)+(y^2+6y+9)=16[/tex]

[tex]\implies(x-1)^2+(y+3)^2=4^2[/tex]

which is the equation of a circle centered at (1, -3) with radius 4, and thus with area 16π.

The area of the region enclosed in the graph x²+y² =2x-6y+6 is 50.26 square units.

The area of the circle can be calculated by the product of π times square of the radius or the product of π/4 times square of diameter.

Area of the circle= A= πr²= πd²/4

where r is radius of the circle and d is diameter of the circle.

Here given that

the equation of circle is given by

x²+y² =2x-6y+6

⇒ x²+y² -2x-6y = 6

⇒ x²-2x+y²-6y = 6

Adding 1 on both sides

⇒ x²-2x+1+y²-6y = 6+1

Adding 9 on both sides

⇒ x²-2x+1+ y²-6y+9 = 6+1+9

⇒x²-2x+1+ y²-6y+9 = 16

⇒ (x-1)² + (y-3)²= 4²

which is similar to equation of the circle

(x-a)² + (y-b)²= r²

This is the equation of the circle in center and radius form where (a,b) is the center of the circle and r is the radius of the circle.

here in the equation of the circle the center of the circle is (1,3)

radius is 4 units.

then the area of the circle is = πr²= π4²= 16π= 50.26 square units.

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Answer:

see below

Step-by-step explanation:

x⁵ - 8x⁴ + 22x³ - 26x² + 21x - 18 = 0

x = 2,  x = ± i,   x=3  with multiplicity 2

-----------------------------------------------------

x⁴ - 5x³ + 7x² - 5x + 6 = 0

x = 2,   x=3,   x = ± i

--------------------------------------------------------

-1 + 4i    =  4 + i

    i

--------------------------------------------------------

x³ - 26x² + 21x - 18 = 0

x = ± 2i,   x = 3/2

--------------------------------------------------------

(1 + i) (-3 - 4i)

= 1 - 7i

--------------------------------------------------------

6.

(-5 + 2i) + (3 - 6i)

= -2 -4i

--------------------------------------------------------

7.

x⁴ + 5x² + 4 = 0

x = ± i ,     x = ± 2i

--------------------------------------------------------

8.

(7 - i) - (-5 + 6i)

= 12 - 7i

--------------------------------------------------------

9.

(4 - i) (4 + i)

= 17

--------------------------------------------------------

10.

(3 + 8i) (4 - 3i)

= 36 + 23i