Is X=4 a solution to the equation 7 + X = 15

YES OR NO

Answer:

[tex]\sf x=2+\sqrt{6},\:x=2-\sqrt{6}[/tex]

Explanation:

[tex]\sf y = x^2 -4x[/tex]

given that y = 2

[tex]\sf x^2 -4x = 2[/tex]

[tex]\sf x^2 -4x -2 = 0[/tex]

using quadratic formula:

[tex]\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ \ when \ ax^2 + bx + c = 0[/tex]

[tex]\rightarrow \sf x_{1,\:2}=\dfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:1\cdot \left(-2\right)}}{2\cdot \:1}[/tex]

[tex]\rightarrow \sf x_1=\dfrac{-\left(-4\right)+2\sqrt{6}}{2\cdot \:1},\:x_2=\dfrac{-\left(-4\right)-2\sqrt{6}}{2\cdot \:1}[/tex]

[tex]\rightarrow \sf x=2+\sqrt{6},\:x=2-\sqrt{6}[/tex]

in decimals:

[tex]\rightarrow \sf x=4.45 , \ -0.45[/tex]

Answer:

14/29

Step-by-step explanation:

Answer:

total numbers of class = 15+14 =29

and number of girls in the class is 14girls

while probability = number of possible outcome

number of required outcome

therefore 14/29 is the probability of selecting

a girl than a boy

Answer:

  (a, b, c) = (7, 2, -4)

Step-by-step explanation:

The fractions are added in the usual way, and the result simplified. That involves finding a common denominator, and expressing each fraction in terms of it.

Here the denominators have no factors in common, so the common denominator is their product. That common denominator is the difference of squares, a "special product."

  [tex]\dfrac{3x}{x+2}+\dfrac{4x}{x-2}\\\\=\dfrac{3x}{x+2}\cdot\dfrac{x-2}{x-2}+\dfrac{4x}{x-2}\cdot\dfrac{x+2}{x+2}\\\\=\dfrac{3x(x-2)+4x(x+2)}{(x+2)(x-2)}\\\\=\dfrac{3x^2-6x+4x^2+8x}{x^2-4}\\\\=\boxed{\dfrac{7x^2+2x}{x^2-4}}\qquad\text{a=7, b=2, c=-4}[/tex]

Answer:

10inxy

Step-by-step explanation:

substitute U = ln x, u= ln y into

in(×2y5) and calculate

Step-by-step explanation:

Pythagoras (for right-angled triangles) :

c² = a² + b²

c being the Hypotenuse, the side opposite of the right angle. and that would be here the diagonal.

c = diagonal = 10 ft

therefore, the width of the rectangle is 10/2 = 5 ft

10² = 5² + b²

100 = 25 + b²

b² = 75

b = length = sqrt(75) = 8.660254038... ft

Rami's family will pay less if they use savings instead of credit.

Step-by-step explanation:

Took the test 8th grade K12

Answer:

g

Step-by-step explanation:

Answer:

I believe the answer is D. which is $9.06

Step-by-step explanation:

Answer:

71 adult tickets, 135 child tickets

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]

Let the number of adult and child tickets sold be a and c respectively.

[tex]\textcolor{steelblue}{\text{\textcircled{2} Form and label 2 equations}}[/tex]

Adult tickets +child tickets= total number of tickets sold

a +c= 206 -----(1)

Revenue from child tickets +revenue from adult tickets= total revenue

Revenue from child tickets

= number of child tickets sold ×cost of each ticket

= 2.65c

Revenue from adult tickets

= number of adult tickets sold ×cost of each adult ticket

= 5.70a

2.65c +5.70a= 762.45 -----(2)

[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve by substitution}}[/tex]

From (1):

a= 206 -c -----(3)

Substitute (3) into (2):

2.65c +5.70(206 -c)= 762.45

Expand:

2.65c +1174.2 -5.70c= 762.45

Simplify:

-3.05c +1174.2= 762.45

-3.05c= 762.45 -1174.2

-3.05c= -411.75

c= -411.74 ÷(-3.05)

c= 135

Substitute c= 135 into (3):

a= 206 -135

a= 71

[tex]\textcolor{steelblue}{\text{\textcircled{4} Concluding statement}}[/tex]

Thus, 71 adult tickets and 135 child tickets were sold.

Step-by-step explanation:

Let b be base and h be height

b = 11+h

Then the area would be hx b = h(11+h) = 11h + h^2

Perimeter = 2h + 2b

= 2h + 2(11+h)

= 2h + 22 + 2h

= 4h + 22

The completely factored form of the Wen's polynomial, which has the four terms initial, is,

[tex](6x^2+7)(x-2)[/tex]

The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

Wen is factoring the polynomial, which has four terms.

[tex]6x^3 - 12x^2+ 7x - 14[/tex] '

Take out the greatest common factor from the equation and make separate groups as,

[tex]6x^2(x - 2)+ 7(x - 2)\\(x-2)(6x^2+7)[/tex]

Rearrange the above equation as,

[tex](6x^2+7)(x-2)[/tex]

Thus, the completely factored form of the Wen's polynomial, which has the four terms initial, is,

[tex](6x^2+7)(x-2)[/tex]

Learn more about factor of polynomial here;

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Answer:

A

Step-by-step explanation:

Trust me

Answer:

Step-by-step explanation:

1)  the equation would be:

(2x+4)x(5x+1) because if the amount of ballpens are (2x+4) and the ballpens are $(5x+1) each, you would multiply them.

this is the expanded version of (2x+4)(5x+1)
{10x^2 + 2x + 20x + 4

10x^2 + 22x + 4}

2) (x^2 +1)(x+2) are multiplied to find the volume of the box

So when expanded it looks like this:

{x^3 + 2x^2 + x + 2}

3) (15a^2b^3) would be multiplied with (2a). This is because to find the total you would times the numbers.
so when expanded:

(15a^2b^3)(2a)

{(15a^3)(2ab^3)}

4) 5X(x+8)=33

5x+40=33

5x=33-40

5x=-7

X= -7/5

5) x-8=8x

8x-x = -8

7x=-8

X=-8/7

Hope this helps :)

By breaking the front yard into two rectangles, we will see that the area of the front yard is 915 ft^2

The front yard is the green part of the map, we can break this into two rectangles.

One of the rectangles measures 35ft by 25ft, then its area is:

A = 35ft*25ft = 875 ft^2

The other rectangle (in the part that goes from H to Q) has a length of 8ft and a width of 5ft, then its area is:

A' = 8ft*5ft = 40ft^2

The total area of the front yard is the sum of the two that we got above:

area = A + A' =  875 ft^2 + 40ft^2 = 915 ft^2

If you want to learn more about areas, you can read:

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The angle of refraction is 15.6 deg.

We have given that An incident ray strikes a piece of diamond at an angle of 40. 5 degrees.

When a ray of light passes from medium 1 to medium 2, the refractive index of medium 2 with respect to 1 is the ratio of the absolute refractive index of medium 2 and medium 1

[tex]1n_{2}=\frac{^{n_{1}}}{n_{2}}[/tex]

When light passes from air into diamond, with the given values of refractive indices,

[tex]an_{d}=\frac{^{n_{d}}}{n_{a}}=\frac{2.42}{1.0003} =2.4193[/tex]

According to Snell's law,

[tex]an_{d}=\frac{^{sini}}{sin r}[/tex]

[tex]< br/ > sinr=an_{d}=\frac{^{sini}}{sin r}=\frac{sin(40.5)}{2.41930} =0.2684[/tex]

[tex]< br/ > r=arcsin(0.2684)=15.57 deg[/tex]

The angle of refraction is 15.6 deg

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Answer:

Mode...

7

Step-by-step explanation:

To find the mode, order the numbers lowest to highest and see which number appears the most often.

and in the list...

8,6,7,9,7,0,2,3,5,7,8,9,69

7 is being repeated.

so mode is 7

Answer:

A linear function is a function whose graph is a straight line. The line can't be vertical, since then we wouldn't have a function, but any other sort of straight line is fine.

Step-by-step explanation:

Pls, choose me as brainliest!

a way to check for the graph of a function is by using the vertical line test, if vertical lines hit the graph only once, then the graph is the graph of a function.  Check the picture below.

Answer:

Income : £270

Expenditure:£204

profit: £66

Answer:

56 drinks

Step-by-step explanation:

7 drinks = 1 coconut

x drinks = 8 coconut

cross multiply

x drinks = 7 × 8

x drinks = 56

so you can make 56 drinks with 8 coconuts

Answer:

One coconut = 7 drinks

Eight coconuts = X drinks

So set up the equation;

________   _________ = _________, solve for x:-

7/1 = x/8

*8     *8

56 = x, 56 drinks can be made with 8 coconuts.

Answer:

I have no clue but option 2 seems right to me but I really don't know sorry

Step-by-step explanation:

sorry I it's wrong

Answer:

P=368(0.07)^x

Step-by-step explanation:

Answer:

input(x)       x-4          Output

   4               4-4             0

   8               8-4             4

   11               11-4            7

Step-by-step explanation:

First you see your input(x)

subtract x by 4

And that would give you your output

Answer:

1/16

Step-by-step explanation:

start with

3/10 times 5/24 and simplify till you get 1/2 times 1/8 which is 1/16

Answer:

0.0625 or 1/16

Step-by-step explanation:

1. Multiply fractions, a x b/c

When you a x b/c , you would do 0.3 x 5 /24, wich would be 1.5/24

0.3 x 5 = 1.5

2. Simplify 1.5/24.

Change 1.5 to 15/10

To get 15/10, you do 1.5 x 10 over 10, witch would be 15/10 , because 1.5 x 10 is 15.

3. Simplify 15/10

15/10, you can divided both by 5, witch would be 15/5 , 3 and 10 divided by 5 witch would gives you 2, hence 15/10 simplfies to 3/2

4. Divided 3/2 by 24 , which would give you 1/16

Answer:

c

Step-by-step explanation:

Answer:

x = 80

Step-by-step explanation:

Because of the parallel lines and the transversal to the left,

x + 67 = 147

x = 80

Answer:

80°

Step-by-step explanation:

I have added some letters for ease.

wyzu is an interior angle. Therefore ∡wyz + ∡yzu = 180°

∡yzu + 147° = 180°

∡yzu = 180°-147

∡yzu = 33°

∡yzu + x° + 67° = 180° ( Supplementary Angle )

33° + x° + 67° = 180°

x° + 100° = 180°

x° = 180° - 100°

x° = 80°

Answer:

120⁰

Step-by-step explanation:

thank me later good bye

Answer:

Y=250-40x

Step-by-step explanation:

ez

Answer: 250-40x=y

Step-by-step explanation:

In order to multiply radicals, the following are needed:

It should be noted that the radical symbol represents the square root of a number and this can be found in algebra.

To multiply radicals, they have to have the same index. In this case, the index is the small number written on the uppermost line in the radical symbol.

Next, simply multiply the numbers under the radical signs and keep them there.

Lastly, if you've multiplied the radicals, they can be simplified to perfect squares.

Learn more about radicals on:
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Answer:

Step-by-step explanation:

the square root of 12 is 3.4 so the answer is 3.4

Step-by-step explanation:

formula for trapezoid or trapezium=h/2 × (a+b)

1.5/2 ×(2+7)

0.75 ×9

3.25msquare