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3 years ago

If p = 12 and q = 3, evaluate 4p – q.

Mathematics

2 answers:

borishaifa [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Plug in the values into the equation

4(12) - 3

48 - 3 = 45

konstantin123 [22]3 years ago

8 0

Answer:

Step-by-step explanation:

4(12) - 3

48 - 3

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Jkl is an equilateral triangle jk= 13x+5,KL= 17X-19 AND JL= 8X+35

stira [4]

Answer:

x = 6

Step-by-step explanation:

Since the triangle is equilateral then sides are congruent.

Equate any 2 sides and solve for x

13x + 5 = 8x + 35 ( subtract 8x from both sides )

5x + 5 = 35 ( subtract 5 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

JK = (13 × 6) + 5 = 78 + 5 = 83

KL = (17 × 6) - 19 = 102 - 19 = 83

JL = (8 × 6) + 35 = 48 + 35 = 83

ΔJKL is equilateral with side = 83

4 0

3 years ago

1. What is the solution of n² – 49 = 0? (1 point)

maks197457 [2]

Answer:

1. $n=\pm7$

2. $x=\pm7i[tex]3.[tex]\pm 12x =a$

4. 22

Step-by-step explanation:

1. $n^2 - 49 = 0$

$n^2 =49$

$n= \sqrt{49}$

$n=\pm7$

2. $x^2+64 = 0$

$x^2 =-64$

$x= \sqrt{49}$

$x=\pm7i[tex]3. Area of square = [tex]a^{2}$

Where a is the side

We are given an area o square = $144x^{2}$

So, $144x^{2}=a^{2}$

$\sqrt{144x^{2}}=a$

$\pm 12x =a$

4. We are given that the solution of quadratic equation -9 and 9

So, equation becomes:

$(x+9)(x-9)=0$

$x^2- 81=0$

So, in the given equation $x^2 + z = 103$

z should be the number from which if we subtract 103 so we get 81

Substitute z = 22

$x^2 + 22 = 103$

$x^2 + 22 -103=0$

$x^2 -81=0$

Thus the value of z is 22

8 0

3 years ago

Read 2 more answers

Point Q is plotted on the coordinate grid. Point P is at (10, −20). Point R is vertically above point Q. It is at the same dista

bixtya [17]

Answer:

Point R is at (−20, 10), a distance of 30 units from point Q

Step-by-step explanation:

Q has coordinates (-20,-20).

P has coordinates (10,-20)

Since point R is vertically above point Q, it will have the same x-coordinate as Q.

Let R have coordinates (-20,y).

It was given that;

$|RQ|=|PQ|$

$\Rightarrow |y--20|=|10--20|$

$\Rightarrow y+20=10+20$

$\Rightarrow y=10+20-20$

$\Rightarrow y=10$ .

The coordinates of R are (-20,10).

The dstance from Q is 30 units.

3 0

3 years ago

Read 2 more answers

A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the function C(x) = 180 + 8x. The

alexdok [17]

Answer:

The correct answer would be, No of bracelets the company must sell to break even would be 15

Step-by-step explanation:

Revenue is given by the function as:

R(x) = 20x

and Cost is given by the function as:

C(x) = 180 + 8x

Let the function P(x) represent the profit earned.

We know that Profit is equal to Revenue - Cost

i-e

Profit = Revenue - Cost

So,

P(x) = R(x) - C(x)

Now substituting the Revenue and cost values in the above equation.

P(x) = 20x - (180 + 8x)

P(x) = 20x -180 -8x

P(x) = 20x - 8x -180

P(x) = 12x - 180

Now if we want to find out the break even point, we would consider profit as Zero, 0. So substituting 0 in the above equation for Profit, we will get:

0 = 12x - 180

12x = 180

x = 180/12

x = 15

So the break even point will be 15 bracelets.

8 0

3 years ago

7−5p+3q when p=1p=1 and q=7q=7

shutvik [7]

Answer:

Step-by-step explanation: Substitute 1 for p & 7 for q

7 − 5p + 3q

7 - 5(1) + 3(7)

7 - 5 + 21

7 + 16

Hope this helps you!!! :)

4 0

3 years ago

Read 2 more answers