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timama [110]
2 years ago
10

Identify h (x) = [x] + 4

Mathematics
1 answer:
garik1379 [7]2 years ago
8 0
The answer is C
I did this test yesterday
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What is the value of b2-4ac for the following equation? 5x2+7x=6​
poizon [28]

Answer:

169

Step-by-step explanation:

Given data

The function is

5x^2+7x=6​

rearrange

5x2+7x-6=0

From the above expression, we can see that

a=​5

b=7

c=-6

Substitute into the expression b^2-4ac

=7^2-4*5*-6

= 49-(-120)

=49+120

=169

Hence the answer is 169

8 0
2 years ago
Factor completely 20x^3y + 30x^2y^2.
weqwewe [10]

Answer:

10x^2 y(2x + 3y)

Step-by-step explanation:

20x^3 y + 30x^2 y^2.

Factor 10x^2y out of 20x^3y.

10x^2 y (2x) + 30x^2 y^2  

Factor 10x^2y out of 30x^2y^2.

10x^2 y (2x) + 10x^2 y (3y)  

Factor 10x^2y out of 10x^2 y (2x) + 10x^2 y (3y).

10x^2 y(2x + 3y)

you factor out 10x^2y from both side which you will then get 10x^2 y (2x) + 10x^2 y (3y)  than you factor out 10x^2y again and get 10x^2 y(2x + 3y)  your third option

6 0
3 years ago
The volume v of a sphere with radius r is given by formula v=4/3 . if radius of a spherical rubber ball is 1 1\4 inches , what i
Aliun [14]
Actually, the correct volume formula is:
Sphere Volume   = <span>  4/3 • <span>π <span>• r³
</span></span></span>Sphere Volume   = <span>  (4/3) * PI * (1.25)^3
</span>Sphere Volume   =   (4/3) * PI * <span> <span> <span> 1.953125 </span> </span> </span>
Sphere Volume   =   <span> <span> <span> 8.1812308687 </span> </span> </span> cubic inches
6 0
3 years ago
One mirror is to be in the shape of a triangle whose height is 6 feet less than twice the base of the mirror. If the mirror has
Vlad1618 [11]

Answer:

Base of the mirror is 12 feet and height of the mirror is 18 feet.

Step-by-step explanation:

Given:

Area of the triangular mirror = 108 sq ft.

Let base (b) of the mirror be x.

Now given:

height is 6 feet less than twice the base of the mirror

So we can say that;

Height (h) = 2x-6

We need to find the base and height of the mirror.

Solution:

Now we know that mirror is in triangular shape so we will apply area of triangle formula to find base and height.

Now Area of triangle is half times base times height.

framing in equation form we get;

108=\frac{1}{2} \times x \times(2x-6)\\\\108=\frac{1}{2}\times x \times 2(x-3)\\\\108=x(x-3)\\\\108=x^2-3x\\\\x^2-3x-108=0

Now we will find the roots of x by factorizing the equation we get;

x^2-12x+9x-108=0\\\\x(x-12)+9(x-12)=0\\\\(x-12)(x+9)=0

Now we will solve for 2 values of x we get;

x-12=0\\\\x=12\ ft\\\\Also;\\\\x+9=0\\\\x=-9\ ft

Now we get 2 values of 'x' one positive and one negative.

Since x is base of the triangle which cannot be negative.

so we will discard the negative value.

Hence;

base of triangle = 12 ft

Height of the triangle = 2x-6=2\times12-6 =24-6 =18\ ft

Hence Base of the mirror is 12 feet and height of the mirror is 18 feet.

7 0
3 years ago
The perimeter of a rectangular pentagon is 110 mm, find the length of one side
Mashutka [201]

Answer:

22mm

Step-by-step explanation:

4 0
3 years ago
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