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aalyn [17]
3 years ago
12

Diana is looking for a dining location for a private party. The cost at Paolo's Restaurant is found by the expression

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0

Answer:

She is wrong because Dave's restaurant is more expensive

Step-by-step explanation:

You have to put a number into the formula to work out if its true

Let's say you change g to 10 guests

Diana's one would be 250+250=500

Dave's one would be 100+450=550

This means that she is wrong because it would be an extra 50 for Dave's place.

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Show your solution follow the steps need an answer, please need an answer, please.​
STatiana [176]

Answer:

Step-by-step explanation:

27 ) 2x² - x - 1 = 0

2x² - 2x +  x  - 1 = 0

2x ( x - 1) + (x - 1) = 0

(x - 1)(2x + 1) = 0

x - 1 = 0  ; 2x + 1 = 0

x = 1   ;     2x = -1

                  x = -1/2

x = 1 ; -1/2

Option b

28) Area of a rectangle = 24 cm²

length * width = 24

(3x +2 )(2x -1) = 24

3x(2x -1) + 2(2x - 1) = 24

3x *2x - 3x *1 + 2*2x - 2*1 = 24

6x² -3x + 4x - 2= 24

6x² + x - 2 -24 = 0

6x² + x - 26 = 0

6x² -12x + 13x - 26 = 0

6x(x - 2) + 13(x - 2) = 0

(x -2)(6x +13) = 0

x = 2      {Ignore 6x + 13 as it gives negative value}

length = 3x + 2 = 3*2 + 2 = 6 + 2 = 8 cm

Width  = 2x - 1 = 2*2 - 1 = 4 - 1 = 3 cm

29) Area of square = 900 cm²

Side² = 900

(5x)² = 900

25x² = 900

x² = 900/25

x² = 36

x = √36 = √6*6

x = 6 cm

30) base = b cm

height = b + 2

Area of triangle =  24 cm²

\dfrac{1}{2}base*height = 24\\\\\dfrac{1}{2}*b*(b+2) = 24\\

b(b + 2) = 24*2

b² + 2b = 48

b² + 2b - 48 = 0

b²  - 6b + 8b  - 48 = 0

b(b - 6) + 8(b - 6) = 0

(b - 6) (b + 8) = 0

b - 6 = 0    {Ignore b +8 = 0 as it gives negative value}

b = 6 cm

height = 6+ 2 = 8 cm

5 0
3 years ago
Helppppppp me?????????????
egoroff_w [7]

Answer:

last option bottom right

x can be equal or greater than -2

4 0
2 years ago
What is the solution set for this linear-quadratic system of equations?
Lostsunrise [7]
Y - x - 3 = 0
y = x + 3

y = x^2 - x - 12
x + 3 = x^2 - x - 12
x^2 - x - 12 - x - 3 = 0
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0

x - 5 = 0     y = x + 3
x = 5          y = 5 + 3
                  y = 8

x + 3 = 0     y = x + 3
x = -3          y = -3 + 3
                   y = 0

so ur solutions are : (5,8) and (-3,0)
3 0
3 years ago
Read 2 more answers
The function f(x) varies directly with x and f(x)=12 when x=8
malfutka [58]
F(x) = kx
12 = 8k
k = 12/8 = 3/2

Required equation is f(x) = 3/2 x
4 0
3 years ago
Add.<br> 3 7/11 + 9 6/11<br> Write your answer as a mixed number in simplest form.<br><br> Help
Vilka [71]

Answer:

13 2/11

Step-by-step explanation:

40/11+105/11

145/11

13 2/11

7 0
2 years ago
Read 2 more answers
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