solve this equation for X:
0.5(5-7X)= 8- (4X+ 6)​

Answer:-5/6 -1/6 5/3

Answer:

[tex]-2\frac{2}{3} y^{2} -1\frac{8}{9}y -3\frac{1}{9}[/tex]

Step-by-step explanation:

Final answer:

The expression (3x²y³) ³ is found by cubing the coefficient and multiplying each variable's exponent by 3, which results in 27x⁶y⁹.

Explanation:

When we deal with the cubing of exponentials, as in the expression (3x²y³) ³, both the numerical coefficient and the variables with their exponents are raised to the power of 3. The rules of exponents guide us to cube the number 3 and multiply the exponents of x and y by 3.

To cube the number 3, we would calculate 3³, which equals 27. For the variables, we apply the exponent to each exponent: x raised to the 2³ (which is 6) and y raised to the 3³ (which is 9). Hence, the expression (3x²y³) ³ simplifies to 27x⁶y⁹. This demonstrates that when cubing an exponential expression, we obtain a new exponent for each variable by multiplying the original exponent by 3, and we cube the numerical coefficient as well.

Answer:

If x = 20, then y = 12.5/20 = 0.625

Step-by-step explanation:

The pertinent relationship is y = k/x, where k is the constant of proportionality.

Subbing 5 for y and 2.5 for x yields 5 = k/2.5, so k = 12.5.

Then the specific relationship fit to this problem is y = 12.5/x.

If x = 20, then y = 12.5/20 = 0.625

ans:-7.54

do u understand

Answer:

-7.44

Step-by-step explanation:

Just do it out

Answer:

x =  0.35   or x = -11.35

Step-by-step explanation:

Points to remember

Solution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

It is given that,  x² = –11x + 4

x² + 11x - 4 = 0

To find the solution

Here a = 1, b = 11 and c = -4

x = [-b ± √(b² - 4ac)]/2a

x = [-11 ± √(11² - 4 * 1 * (-4))]/2*1

 =  [-11 ± √(121 + 16)]2

 = [-11 ± √137]/2

 = [-11 ± 11.70]/2

x = -11 + 11.70  or x = -11 - 11.70

x =  0.35   or x = -11.35

Answer:

the height is 20 inches

Step-by-step explanation:

Answer: 20 inches

Step-by-step explanation:

This is a triangular prism, we first need to find the area of the triangle!

A (triangle) = 1/2 x base of triangle x height of triangle

A = 1/2 x 3 x 5 = 7.5 square inches

Now lets work out the height of the prism, we can use the volume of the prism to do so.

V = Area of triangle x height

150 = 7.5 x height

Height = 150/7.5 = 20 inches

ANSWER

[tex] \frac{1}{2} [/tex]

EXPLANATION

The given expression is;

[tex]2 {x}^{ - 4} y[/tex]

We want to find the value of this expression when x=2 and y=4.

We substitute to get,

[tex]2 {(2)}^{ - 4} (4) [/tex]

[tex]8 \times {2}^{ - 4} [/tex]

Recall that

[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]

This implies that,

[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{ {2}^{4} } [/tex]

[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{16 } = \frac{1}{2} [/tex]

Answer:

Step-by-step explanation:

[tex]\bf \begin{cases} \boxed{y}=6x-11\\ \cline{1-1} -2x-3y=-7 \end{cases}\qquad \implies \stackrel{\textit{substituting \underline{y} in the 2nd equation}}{-2x-3\left( \boxed{6x-11} \right)=-7}[/tex]

[tex]\bf -2x-18x+33=-7\implies -20x+33=-7\implies -20x=-40 \\\\\\ x=\cfrac{-40}{-20}\implies \blacktriangleright x=2 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that }}{y=6x-11}\implies y=6(2)-11\implies y=12-11\implies \blacktriangleright y=1 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (2,1)~\hfill[/tex]

Step 1: Plug 6x - 11 in for y in the equation -2x - 3y = -7

-2x - 3(6x-11) = -7

Step 2: Distribute -3 to the numbers inside the parentheses (6x -11)

-2x - 18x + 33 = -7

Step 3: Combine like terms

x's go with x's

-20x + 33 = -7

Step 4: Subtract 33 to both sides

-20x = -40

Step 5: Isolate x by dividing -20 to both sides

x =  2

Step 6: To solve for y plug 2 in for x in the equation y = 6x - 11

y = 6(2) - 11

y = 12 - 11

y = 1

(2, 1)

Check:

1 = 6(2) - 11

1 = 12 - 11

1 = 1

-2(2) - 3(1) = -7

-4 - 3 = -7

-7 = -7

Hope this helped!

Answer:

Step-by-step explanation:

If AB is parallel to XY, then they have the same slope.

If the slope of AB is 2/3, then the slope of XY is 2/3 too.

Answer:

False

Step-by-step explanation:

The distance between two points is found by

d = sqrt((y2-y1)^2 + (x2-x1)^2)

  = sqrt( (4-7)^2 + (6-2)^2)

  =sqrt( 3^2 +4^2)

  = sqrt(9+16)

  =sqrt(25)

  = 5

Answer:

False

Step-by-step explanation:

Because....

* Hopefully this helps:) Mark me the brainliest:)!!!

∞ 234483279c20∞

30 seconds/per burger

Answer:

30 seconds

Step-by-step explanation:

4 burgers in 2 mins

1 burger

= 2 ÷ 4

= 0.5 min

= 30 seconds

Answer:

-3

Step-by-step explanation:

The slope for two points is found by

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

   = (4--2)/(0-2)

  = (4+2)/(0-2)

  = (6/-2)

 =-3

Answer:

The slope is -3

Step-by-step explanation:

[tex]\frac{y}{x}[/tex]

You do the change in y over the change in x

[tex]\frac{-2 - 4}{2 - 0}[/tex]

which equals

[tex]\frac{-6}{2} = -3[/tex]

Answer:

h = 3πx

Step-by-step explanation:

The volume (V) of the cylinder is calculated using the formula

V = πr²h ( r is the radius and h the height )

V = π × x² × 3x = 3πx³

The volume of the cuboid therefore has volume of 3πx³, that is

x × x × h = 3πx³

x²h = 3πx³ ( divide both sides by x² )

h = 3πx³ ÷ x² = 3πx

Answer:

[tex]-6x^{2}-78x-252[/tex]  or  [tex]-(6x^{2}+78x+252)[/tex]

Step-by-step explanation:

we have

[tex]-6(x+6)(x+7)[/tex]

Applying distributive property

[tex]-6(x+6)(x+7)=-6[x^{2}+7x+6x+42]\\=-6[x^{2} +13x+42]\\=-6x^{2}-78x-252\\=-(6x^{2}+78x+252)[/tex]

Answer:

False

Step-by-step explanation:

Continuous data is data that can take any value within a range, including non-whole number values.

Because the number of tickets sold can only take whole number values, it is not an example of continuous data.

False

I hope this helps you understand continuous data. Have a great day. :)

Answer: False

Step-by-step explanation: Continuous data is data that can be measured. The number of tickets that were sold would only be positive integers meaning that there can't be a fraction of a ticket sold. Since discrete data is data that can be counted, the number of tickets sold would be an example of data that is discrete.

ANSWER

The vertex of g(x) is (2,-5).

EXPLANATION

The given function is:

[tex]g(x) = 3 {x}^{2} - 12x + 7[/tex]

The vertex form of this function is:

[tex]g(x) = 3 {(x - 2)}^{2} -5[/tex]

This is of the form

[tex]g(x) = a {(x - h)}^{2} + k[/tex]

where (h,k) is the vertex.

When we to

[tex]g(x) = 3 {(x - 2)}^{2} -5[/tex]

h=2 and k=-5

The vertex of the parabola is (2,-5).

the square root is 13.7 hope this helps!

[tex] \sqrt{ - 188} = 13.7113092 \: i[/tex]

hope that helped you!

Answer:

[tex]\large\boxed{A=25\pi}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

We have r = 5. Substitute:

[tex]A=\pi(5^2)=25\pi[/tex]

Answer:

Step-by-step explanation:

From the net:

S.A. = 2(25 in²) + 4(60 in²) = 50 in² + 240 in² = 290 in²

From the model:

The formula of a Surface Area of a rectangular prism:

S.A. = 2(lw + lh + wh)

l - length

w - width

h - height

We have l = 5 in, w = 5 in, and h = 12 in. Substitute:

S.A. = 2(5 · 5 + 5 · 12 + 5 · 12) = 2(25 + 60 + 60) = 2(145) = 290 in²

Answer: 290 in.^2

Step-by-step explanation: Just did on iready. Hope i helped! (:

Answer:

The answer is length: 9, width: 5

Step-by-step explanation:

5 x 9 = 45

5 x 4 = 20

20 - 11 = 9

Hope this helps :P

The length of a rectangle is 9 cm and width of the rectangle is 5 cm.

The area of Rectangle is length times of width.

Length of a rectangle is 11 centimeters less than four times its width.

Length=4W-11

Width=W

Area=45

Area=Length×Width

=(4w-11)w

45=4w²-11w

4w²-11w-45=0

After applying a =4, b=-11 and c=-45 in the quadratic formula

we get w=5

Plug in the value of w in length

Length=4W-11

=4(5)-11

=20-11

=9

Hence, the length of a rectangle is 9 cm and width of the rectangle is 5 cm.

To learn more on Rectangle click:

https://brainly.com/question/20693059

#SPJ2

the answer will beeeeeeeeeeeeeeeeee c

The answer to your question is b

Answer:

14

Step-by-step explanation:

Rewriting this as

-8      -7

----- · -----

 1         4

makes this problem a bit easier to do.  Reduce the -8/4 to -2:

-8      -7       -2(-7)

----- · ----- = ----------- = 14

 1         4           1

Answer:

Amount invested at 6 percent interest is $69,200

Amount invested at 9 percent interest is $34,600

Step-by-step explanation:

Let the amount invested (or principal) at 6 percent interest be $2x

The principal(P) (amount invested) at 9 percent interest will be $x

Amount(A) = P(1 + rt)

Time(t) = one year = 1

Amount at 6% interest = 2x(1 + 0.06) = $2.12x

Interest accumulated = Amount - Principal = $2.12x - $2x = $0.12x

Amount at 9% interest = x(1 + 0.09) = $1.09x

Interest accumulated = Amount - Principal = $1.09x - $x = $0.09x

Total interest = $7,266

So, $0.12x + $0.09x = $7,266

$0.21x = $7,266

x = [tex]\frac{7,266}{0.21}[/tex] = $34,600

The principal (amount invested) at 9 percent interest rate is $34,600

The principal (amount invested) at 6 percent interest rate is 2 × $34,600 = $69,200

Answer:

Q1: 11x - 8

Q2: 2x + 10

Q3: -3v + 12

Answer:

Q1: 11x + 8

Q2: 2x + 10

Q3: 3v - 12

Answer:

y = 192

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = [tex]\frac{kx}{z}[/tex] ← k is the constant of variation

To find k use the condition y = 16 and z = 2 when x = 42

k = [tex]\frac{yx}{z}[/tex] = [tex]\frac{16(42)}{2}[/tex] = 336

y = [tex]\frac{336z}{x}[/tex] ← equation of variation

When x = 14 and z = 8, then

y = [tex]\frac{336(8)}{14}[/tex] = 192

Answer:

(-7,-5)

Step-by-step explanation:

Converting the circle into the form (x-h)^2+(y-k)^2=r^2, we get

x^2+14x+49+y^2+10y+25=7+25+49

So we get

(X+7)^2+(y+5)^2=81

So the center of the circle is (-7,-5)

Answer:

centre = (- 7, - 5)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Arrange the equation by placing the x and y terms together

x² + 14x + y² + 10y - 7 = 0 ( add 7 to both sides )

x² + 14x + y² + 10y = 7

Use the method of completing the square

add (half the coefficient of the x/y term)² to both sides

x² + 2(7)x + 7² + y² + 2(5)y + 5² = 7 + 7² + 5²

(x + 7)² + (y + 5)² = 7 + 49 + 25 = 81 ← in standard form

with (h, k) = (- 7, - 5) ← centre of circle

Answer:

hello : x = - 4 or x = - 8

Step-by-step explanation:

x²+12x+32=0​

(x² +2(6)(x) +6²) - 6² +32 = 0....by completing the square

(x + 6 )²- 2² = 0

(x+6-2)(x+6+2)=0 by idetity : a² - b² = (a - b ) ( a + b )

(x+4)(x+8) =0

x+4=0 or x+8= 0

x = - 4 or x = - 8

Answer:

x = - 8, x = - 4

Step-by-step explanation:

Given

x² + 12x + 32 = 0 ( subtract 32 from both sides )

x² + 12x = - 32

To complete the square

add (half the coefficient of the x- term)² to both sides

x² + 2(6)x + 6² = - 32 + 6²

(x + 6)² = - 32 + 36 = 4

Take the square root of both sides

x + 6 = ± 2 ( subtract 6 from both sides )

x = - 6 ± 2

Hence

x = - 6 - 2 = - 8

x = - 6 + 2 = - 4

Answer:

9 purple 10 green

Step-by-step explanation:

20 total- you have a 50 50 chance (50 percent) to get either color

So, input into distance formula to get ....

√(22-(-18))²+(0-9)²

√1600+81

√1681 is about 41.

Answer:

41 units

Step-by-step explanation:

Distance equation: Distance = √((x₁ - x₂)² + (y₁ - y₂)²), where (x₁, y₁) is one coordinate, and (x₂,y₂) is the other.

Plug in: √((-18 - 22)² + (9 - 0)²)

Add: √((-40)² + (9)²)

Exponents: √(1600 + 81)

Add: √1681

Square roots: ± 41

Domain: 41 units (negatives are not allowed)