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sladkih [1.3K]
4 years ago
15

Hello there can you please help me posted picture of question

Mathematics
2 answers:
Stolb23 [73]4 years ago
7 0
5x^2+2x-3=0
We can use the quadratic formula:
ax^2+bx+c=0; a=5, b=2, c=-3
x=[-b+-sqrt(b^2-4ac)]/(2a)
x=[-(2)+-sqrt((2)^2-4(5)(-3))]/[2(5)]
x=[-2+-sqrt(4+60)]/10
x=[-2+-sqrt(64)]/10
x=(-2+-8)/10
Two solutions:
x1=(-2-8)/10→x1=(-10)/10→x1=-1
x2=(-2+8)/10→x2=6/10→x2=3/5

Answer: x=-1 and x=3/5

Answer: Options D. x=-1 and F. x=3/5
AVprozaik [17]4 years ago
5 0
Using quadratic formula;
LET:
a=5, b=2, c=-3

x=[-b+-sqrt(b^2-4ac)]/(2a)x=[-(2)+-sqrt((2)^2-4(5)(-3))]/[2(5)]x=[-2+-sqrt(64)]/10x=(-2+-8)/10
x1=-1x2=3/5
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3 years ago
Tell whether the angles are adjacent or vertical. Then find the value of x.
Alexandra [31]

Answer:

Vertical/ x = 25.

Step-by-step explanation:

Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.

Vertical angles are also congruent (equal), meaning that both angles equal 75°.

4x - 25 = 75.

To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.

25 + 75 = 100

Lastly, divide 100 from 4.

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3 0
3 years ago
If the math club collected 17,604 points and gave away 36 shirts, how many points were collected if 82 shirts were given away?
luda_lava [24]
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4 0
3 years ago
A car rental agency has 150 cars. The owner finds that at a price of $48 per day, he can rent all the cars. For each $2 increase
hram777 [196]
Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.

Let x be the number of $2 increases in price, then the revenue from renting cars is given by
(48 + 2x) \times (150 - 4x)=7,200+108x-8x^2.

Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by
5(150-4x)=750-20x

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>(7,200+108x-8x^2)-(750-20x)=6,450+128x-8x^2

For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>\frac{d}{dx} (6,450+128x-8x^2)=0 \\  \\ 128-16x=0 \\  \\ x= \frac{128}{16} =8

The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.

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3 0
3 years ago
If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2
Oksanka [162]

If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width

Solution:

Let the length of rectangle=x

Width of rectangle=x/10

Perimeter is 2(Length+Width)

= 2(x+x/10)

Area of Rectangle= Length* Width=x*x/10

As, Perimeter=2(Area)

So,2(x+x/10)=2(x*x/10)

Multiplying the equation with 10, we get,

2(10x+x)=2x²

Adding Like terms, 10x+x=11x

2(11x)=2x^2

22x=2x²

2x²-22x=0

2x(x-11)=0

By Zero Product property, either x=0

or, x-11=0

or, x=11

So, Width=x/10=11/10=1.1

Checking:

So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2

Area=Length*Width=11*1.1=12.1

Hence, Perimeter= 2 Area

As,24.2=2*12.1=24.2

So, Perimeter=2 Area

So, Answer:Length of Rectangle=11 units

Width of Rectangle=1.1 units

7 0
3 years ago
Read 2 more answers
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