Solve the system of linear equations below, using substitution method.
8x + 9y = 36
3x + 4y = 16
0 (0,4)
хо (57.6.-47.2)
0 (4.4137, 2.9396)
O (5.6842,-0.2632)
5

Answer:

30

Step-by-step explanation:

cause i said so

Answer:

x <= 10

<= means less or equal to

Step-by-step explanation:

At least means less or equal to

Answer: 138.557

Step-by-step explanation:

Answer:

hey :( so just wondering hru ummm and u were right and umm ig i am just gonna f my life up always umm hru ?

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

3X-x+2=14

3*6-6+2=14

14=14

plz make me brainliest

Answer:

x=54 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

In this case, angle 126 and angle x are supplementary.

126+x=180

x=54 degrees.

Let me know if this helps!

Answer:

[tex]F_x=43.30\ N[/tex]

Step-by-step explanation:

Given that,

Force, F = 50 pounds

It is directed at 30° from the horizontal.

The force will be given by :

[tex]F_x=F\cos\theta\\\\=50\times \cos(30)\\\\=43.30\ N[/tex]

So, the required force is 43.30 N.

Answer:

n = 14

Step-by-step explanation:

let 'n' = the number

3n - 5 = 2n + 9

n - 5 = 9

n = 14

Answer:

14

Step-by-step explanation:

We have to replace the unknown quantity with "x" and work with it.

The result of multiplying a number by 3 and substracting 5

3x - 5

Is the same as

3x-5= (__)

Doubling the number and adding 9

3x- 5= 2x+9

Then we solve it like any equation

3x - 5 = 2x + 9

3x - 2x = 9 + 5

x = 14

Hope it was helpful ;)

Answer:

Since [tex]q(\frac{3}{4}) \neq 0[/tex], 3/4 cannot be a root of q(x).

Step-by-step explanation:

Root of a function:

If [tex]x^{\ast}[/tex] is a root of a function f(x), we have that [tex]f(x^{\ast}) = 0[/tex].

In this question.

We have to find [tex]q(\frac{3}{4})[/tex]. So

[tex]q(\frac{3}{4}) = 6(\frac{3}{4})^3 + 19(\frac{3}{4})^2 - 15(\frac{3}{4}) - 28[/tex]

[tex]q(\frac{3}{4}) = \frac{162}{64} + \frac{171}{16} - \frac{45}{4} - 28[/tex]

[tex]q(\frac{3}{4}) = \frac{162}{64} + \frac{684}{64} - \frac{720}{64} - \frac{1792}{64}[/tex]

[tex]q(\frac{3}{4}) \neq 0[/tex]

Since [tex]q(\frac{3}{4}) \neq 0[/tex], 3/4 cannot be a root of q(x).

9514 1404 393

Answer:

  61°

Step-by-step explanation:

An angle and its complement total 90°. Your angle of interest is ...

  90° -29° = 61° . . . complementary angle to 29°

Answer:

we have

m<2=m<7

4x+2=5(x-2)

4x+2=5x-10

10+2=5x-4x

x=12

Answer:

y = 37/5x + 9

Step-by-step explanation:

The points are not plotted on a single straight line, so I will find the general slope using the first and last point on the graph.

(5, 46) & (10, 83)

slope-intercept form: (y₂ - y₁) / (x₂ - x₁)

(83 - 46) / (10 - 5)

Simplify.

(37)/(5)

Your slope is 37/5.

y = 37/5x + b

To find b, plug in a point to x and y.

46 = 37/5(5) + b

46 = 37 + b

b = 9

Your equation is: y = 37/5x + 9

Check by plugging in the other point.

83 = 37/5(10) + 9

83 = 74 + 9

83 = 83

Your equation is correct.

Hope this helps!

Answer:

0

Step-by-step explanation:

are given:

\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}

sin(x)−2

sin

2

(x)−sin(x)−2

To make it simpler and more clear, we can let u = sin(x). So:

\displaystyle \frac{u^2-u-2}{u-2}

u−2

u

2

−u−2

Now, it becomes obvious that we can factor, which produces:

\displaystyle =\frac{(u-2)(u+1)}{u-2}=

u−2

(u−2)(u+1)

Cancel:

=u+1=u+1

And substituting back:

=\sin(x)+1=sin(x)+1

Hence, our answer is A.

Answer:

-15

Step-by-step explanation:

-2 to the power 0 = -1

-2 to the power 1 = -2

-2² = -4

-2³ = -8

-1 + -2 + -4 + -8 = -15

Answer:

Probability = 2/2

Answer:

471 square feet

Step-by-step explanation:

150

x3.14

471

Answer:

7.5%

Step-by-step explanation:

280 - 259 = 21

21 / 280 = 0.075 = 7.5%

Answer:

20

11

Step-by-step explanation:

10^1+10 steps:

10^1+10

Calculate 10 to the power of 1 and get 10.

10+10

Add 10 and 10 to get 20.

20

10^0+10 steps:

10^0 +10

Calculate 10 to the power of 0 and get 1.

1+10

Add 1 and 10 to get 11.

11

Answer: D. 15 square root with 3 inside

Step-by-step explanation:

Just try it

Answer:

c

Step-by-step explanation:

Answer:

#8. 2

#9. 7

#10. 2

#11. 2

#12. 0

#13. -4

#14. 17

#15. 1

Answer:#8=2

#9=-11

#10=8

#11=2

#12=0

#14=17

#15=1

Step-by-step explanation: #8-13 (Subtract the numbers using a number line, than add the numbers using a integer chips, after that calculate the sum of the differences) #14-15( normal solving stepping for integers(recommend using a T1-84 Calculator)

Answer:

2,3

Step-by-step explanation:

2 and 3 are consecutive numbers, and when you multiply them, you get 6.

Hope this helps.

Have a nice day.

Answer:

The area would reduce to 1/4 the original area

Step-by-step explanation:

The area of a triangle = (1/2)(base)(height) or bh/2

If the triangle base and height were to reduce by one-half, the formula would change to:

Area = (1/2)(1/2 base)(1/2 height) or bh/8. Which is a reduction by 1/4

Answer:

0.028 ; 0.649 ; 4

Step-by-step explanation:

P(correctly activation), p = 0.7

Number of sprinklers, n = 10

q = 1 - p = 1 - 0.7 = 0.3

Using the binomial probability relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Probability that all sprinklers activate correctly;

P(x = 10) = 10C10 * 0.7^10 * 0.3^0

P(x = 10) = 1 * 0.0282475249 * 1

P(x = 10) = 0.028

Probability that atleast 7 will operate correctly :

P(x ≥ 7) = p(x = 7) + p(x = 8) + p(x = 9) + p(x = 10)

P(x ≥ 7) = 0.267 + 0.233 + 0.121 + 0.028

P(x ≥ 7) = 0.649

3.)

Probability of atleast 1 operates :

P(x ≥ 1) = 0.98

1 - probability of 0 operates

1 - p(x =0)

P(x = 0) = nC0 * 0.7^0 * 0.3^n = 0.02

Recall :

nC0 = 1 ;

1 - p(x = 0)

P(x = 0) = 1 * 1 * 0.3^n = 0.02

0.3^n = 0.02 - - - (1)

0.3^3.24 = 0.02 - - - (2)

Comparing (1) and (2)

n = 3.24

Since, n cannot be a fraction ;

Then n is rounded to the next whole number = 4

Answer:

Step-by-step explanation:

You'll be given an equation that contains an x and a y.

You'll also be given an ordered pair. Plug the ordered pair into the equation and see if the equation is true.

For example:

Is (0,4) a solution to the equation 2x+3y = 15 ?

Plug the coordinates of (0,4) into the equation:

2·0 + 3·4 = 15

This simplifies to 12 = 15, which is obviously false, so (0,4) is not a solution to the equation.

Answer:

£212.5

Step-by-step explanation:

15% of 250 = 37.5

250 - 37.5 = 212.5

Answer: 14/16

Step-by-step explanation:

Answer:

14/8 BUT Simplified even further = 7/8

Step-by-step explanation:

Answer:

a.2^(a+b+c)

b.2^(a+b+a-b)=2^(2a)or 4^a

c.2^(a+b+c)/2^(a+b)=2^(a+b+c-a-b)=2^c