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Flura [38]
3 years ago
10

Evaluate

Mathematics
1 answer:
baherus [9]3 years ago
6 0
$3492/$36=
97 senior students who have paid for the trip
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A stack of one hundred fifty cards is placed next to a ruler, and the height of the stack is measured to be 5/8 inches.
DaniilM [7]
Divide 5/8 by 150, to see how thick each is, that'll give you 150 even pieces that add up to 5/8

\bf \cfrac{\frac{5}{8}}{150}\implies \cfrac{\frac{5}{8}}{\frac{150}{1}}\implies \cfrac{5}{8}\cdot \cfrac{1}{150}\implies \cfrac{1}{8\cdot 30}\implies \cfrac{1}{240}
5 0
3 years ago
A quadrilateral has angles that measure 63°, 89° and 121°.
ikadub [295]
The measure of the fourth angel is 87°
5 0
3 years ago
The solid below is made from cubes.<br> Find its volume.
natali 33 [55]

Answer:

I believe its 30 yards

Step-by-step explanation:

volume = 3×5×2 = 30

6 0
2 years ago
Read 2 more answers
Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function f(
alekssr [168]

Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function ()=−(+)^−

<em><u>Answer:</u></em>

vertex = (-4, -5)

Axis of symmetry = -4

use the (-4, -5) to find the minimum value

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

<em><u>Solution:</u></em>

Given function is:

f(x) = (x+4)^2 - 5

The equation in vertex form is given as:

y = a(x-h)^2+k

Where, (h, k) is constant

On comparing give function with vertex form,

h = -4

k = -5

Vertex is (-4 , -5)

Axis of symmetry : x co-ordinate of vertex

Thus, axis of symmetry = -4

The coefficient of x^2 is positive in given function.

Thus the vertex point will be a minimum

Minimum\ value = f(\frac{-b}{a})

f(x) = x^2 + 8x + 16 - 5\\\\f(x) = x^2 + 8x + 11

f(x) = ax^2+bx+c

On comparing,

a = 1

b = 8

x = \frac{-b}{2a} = \frac{-8}{2 \times 1} = -4

f(-4) = (-4)^2 + 8(-4) + 11 = 16 - 32 + 11 = -5

Thus, use the (-4, -5) to find the minimum value

Domain and range

f(x) = (x+4)^2 - 5

The domain is the input values shown on the x-axis

The range is the set of possible output values f(x)

Therefore,

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

4 0
2 years ago
What is the product?
svlad2 [7]

Answer:

Third option: 2x^3-11x^2+16x-3

Step-by-step explanation:

The product to be found is:

(x-3)(2x^2-5x+1)

Distributive property will be used for the product:

x(2x^2-5x+1)-3(2x^2-5x+1)\\

Multiplication will give us:

=2x^3-5x^2+x-6x^2+15x-3\\Combining\ alike\ terms\\=2x^3-5x^2-6x^2+x+15x-3\\=2x^3-11x^2+16x-3

The product is: 2x^3-11x^2+16x-3

Hence, third option is the correct answer ..

4 0
2 years ago
Read 2 more answers
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