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Margaret [11]
2 years ago
5

Plsss help i really need help

Mathematics
2 answers:
Zepler [3.9K]2 years ago
8 0
For the ratio hearts to clubs it’s 5:4
For the ratio clubs to hearts it’s 4:5
For the ratio hearts to total is 5:9 I hope this helps :)
soldi70 [24.7K]2 years ago
7 0

1- 5:4

2-4:5

3-5:9

hope this helps

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Given that f(x) = x2 + 12x + 32 and g(x) = x+ 4, find (f - g)(x) and
frosja888 [35]

Answer:

x²+11x+28

Step-by-step explanation:

(f - g) (x) = f(x) - g(x)

x² + 12x + 32 - (x + 4) = x² + 11x + 28

6 0
2 years ago
The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by (2x + 3)°. What is t
larisa [96]

An isosceles triangle is one in which 2 angles have similar measure while the other one is different. In this case, the 2 vertex angles have a measure of 42 degrees, therefore the third angle which is equal to (2x + 3) is:

(2x + 3) + 42 + 42 = 180

2x + 3 = 96

<span>x = 46.5°</span>

5 1
3 years ago
Read 2 more answers
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = xyz

with subject to x+2y+3z=9

So, let z=\dfrac{9-x-2y}{3}

So, Volume becomes,

V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}

Partially derivative wrt x and y we get that

9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9

By solving these two equations, we get that

x=3,y=\dfrac{3}{2}

So, z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1

So, Volume of largest rectangular box would be

xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5

Hence, the volume of largest rectangular box is 4.5 units.

4 0
3 years ago
Let a and b be real numbers satisfying a^3 - 3ab^2 = 47 and b^3 - 3a^2 b = 52. Find a^2 + b^2.
boyakko [2]

Answer: a²+b² = -99/2

Step-by-step explanation:

Since we are given two equations, this equations will be solved simultaneously to get a² and b²

a³ - 3ab² = 47 ... 1

b³ - 3a² b = 52... 2

From 1, a(a² - 3b²) = 47...3

From 2, b(b² - 3a²) = 52... 4

Adding 3 and 4, we have;

a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)

a²+b²-(3b²+3a²) = 99

(a²+b²) -3(b²+a²)= 99

Taking the difference we have

- 2(a²+b²) = 99

a²+b² = -99/2

8 0
3 years ago
Sally is analyzing a circle, y2 + x2 = 9, and a linear function g(x). Will they intersect?
Mamont248 [21]
This ones kinda hard I'm not really sure, but looking at the table, when f(x) = 1, g(x) = 1. So therefore it is yes, and Im guessing you know the negative and positive x coordinates/zero thing, so I think you should be correct. Sorry if this is wrong, not too sure, but hopefully it gives you a better idea.
4 0
3 years ago
Read 2 more answers
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