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3 years ago

HELP FAST 25 POINTS TO BRAINLIEST

Mathematics

1 answer:

Kipish [7]3 years ago

7 0

4x - 7 = 5

4x = 5 + 7

4x = 12 (divide both sides by 4 to get x)

4x/4 = 12/4

x < 3

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What is the dimension of a rectangle if the perimeter is 198

AfilCa [17]

Answer:

Length = 49.5 unit and width = 49.5 unit

Step-by-step explanation:

Given as , Perimeter of rectangle = 198 unit

so ,as Perimeter of rectangle = 2× ( Length + width)

Or, 198 = 2 × (Length + width)

Or, $\frac{198}{2}$ = length + width

So, length + width = 99 unit

Now to make area maximum

Length × width = maximum

Or, (99 - width ) × width = maximum

99 Width - width² = maximum Let width = W

Now differentiate both side with respect to W

D(99W - W²) $\frac{D(99w - w^2)}{Dw}$ = 0 as, constant diff is 0

So, 99 - 2w = 0

Or, w = $\frac{99}{2}$

Or, w = 49.5 unit and L = 99- 4905 = 49.5 unit Answer

3 0

3 years ago

After a bride has interviewed 7 DJs to play at her wedding, her fiance tells her she needs to narrow it down to 4 DJs. In how ma

Alex17521 [72]

Answer:

840

Step-by-step explanation:

Given

$DJs = 7$

$To\ pick = 4$

Required

Determine the number of rankings

The term "ranking" as used in this question implies permutation and the required is calculated using:

$^nP_r = \frac{n!}{(n-r)!}$

Where

$n = 7$

$r = 4$

So:

$^nP_r = \frac{n!}{(n-r)!}$

$^7P_4 = \frac{7!}{(7-4)!}$

$^7P_4 = \frac{7!}{3!}$

$^7P_4 = \frac{7 * 6 * 5 * 4 * 3!}{3!}$

$^7P_4 = 7 * 6 * 5 * 4$

$^7P_4 = 840$

Hence, number of ranking is 840

7 0

3 years ago

The first three steps in determining the solution set of the system of equations algebraically are shown in the table. y = −x2 +

lianna [129]

You have a system of equations $\left \{ {{y = -x^2+2x-9} \atop {y =-6x+6}} \right.$ .

1. Substitude right side of second equation into the left side of the first equation: $-6x+6=-x^2+2x-9$ .

2. Solve this equation:
$x^2-2x+9-6x+6=0, \\ x^2-8x+15=0, \\ D=(-8)^2-4\cdot 1\cdot 15=64-60=4, \\ \sqrt{D}=2, \\ x_{1,2}=\dfrac{8\pm 2}{2 } =3,5$ .

3. Find y:
for $x_1=3, y_1=-6\cdot 3+6=-18+6=-12$ ,
for $x_2=5, y_2=-6\cdot 5+6=-30+6=-24$ .

4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.

7 0

3 years ago

Read 2 more answers

Determine if the following equation is linear or non-linear: y = [x] - 1

schepotkina [342]

Answer:

I believe this equation is Linear

6 0

2 years ago

What is a domain? What is a range?

lidiya [134]

Answer:

he domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

Step-by-step explanation:

5 0

3 years ago