All categories

2 years ago

What is the vertex of the parabola given by the equation y=x2 + 4?

Mathematics

1 answer:

vlabodo [156]2 years ago

8 0

Answer:

C. (0, 4)

Step-by-step explanation:

Your vertex is going to be <em>(h, k)</em>.

Alternatively you can graph the equation to find that your vertex is at (0, 4)

You might be interested in

4x − 5y = 25<br> Make a table of values. ASAP

Lerok [7]

Answer:

Given Below.

explanation:

$4x - 5y = 25$

$-5y = 25 - 4x$

$y = \frac{25-4x}{-5}$

$y = \frac{4x- 25}{5}$

put x values in the function in order to find y values.

0 | -5

1 | -4.2

2 | -3.4

3 | -2.6

4 | -1.8

5 | -1

6 | -0.2

6 0

2 years ago

A company's records indicate that on any given day about 1% of their day shift employees and 3% of the night shift employees wil

shutvik [7]

Answer

The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.

4 0

3 years ago

a positive integer is twice another. The sum of the reciprocals of the two positive integers is frac 3/16, find the two integers

gizmo_the_mogwai [7]

Step-by-step explanation:

Let $x$ be the smallest integer

Let $2x$ be the larger integer

As the sum of the reciprocals of the two positive integers is frac 3/16

So,

$\frac{1}{x}\:+\:\frac{1}{2x}\:=\:\frac{3}{16}$

$\mathrm{Multiply\:by\:LCM=}16x$

$\frac{1}{x}\cdot \:16x+\frac{1}{2x}\cdot \:16x=\frac{3}{16}\cdot \:16x$

Simplify

$24=3x$

$\mathrm{Switch\:sides}$

$3x=24$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3x}{3}=\frac{24}{3}$

$x=8$

So,

$2x=16$

<h2>Verification:</h2>

$\frac{1}{8}\:+\:\frac{1}{16}$

$\mathrm{Least\:Common\:Multiplier\:of\:}8,\:16:\quad 16$

$=\frac{2}{16}+\frac{1}{16}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{2+1}{16}$

$=\frac{3}{16}$

Therefore,

$\frac{1}{8}+\frac{1}{16}=\frac{3}{16}$

Keywords: word problem , integer

Learn more about solving integer word problem from brainly.com/question/10905225

#learnwithBrainly

4 0

2 years ago

Math help please! Simplify: <br> √(4 + 16 + 16√3 + 12) = 4√(2 + √3)

lozanna [386]

Both sides equal each other. Do you want to know how?

√(4 + 16 + 16√3 + 12) = 4√(2 + √3)

Surd Rule: Numbers with the same surd can be added together. Therefore, all whole integers can be added together.

√(4 + 16 + 16√3 + 12)

√((4 + 16 + 12 )+ 16√3 ) =

√(32 + 16√3)

Simplify by Factorising the common factor - 16

√(32 + 16√3) ÷ 16

√(16 (2 + √3))

Square root 16. This is because it is a not a surd because it is not in it's simplest form.

√16 = 4

√4 (2 + √3)

3 0

3 years ago

1) solve for w: 3w - 10 = 4w + 5<br> 2) solve for t:6 -2t >18

Gre4nikov [31]

Problem # 1
3w-10=4w+5
(3w-10) + (10-4w) = (4w+5) + (10-4w)
(3w-10) + (-4w+10) = (4w+5) + (-4w +10)
3w-10-4w+10 = 4w +5 -4w +10
3w-4w=15
-w=15
w= -15 (w is negative 15)

problem #2.
6-2t > 18
6-2t-6 > 18-6
-2t > 12
(-1) (-2t) > 12 (-1)
2t > -12
next divide by 2
2t/2 > -12/2
t > -6 (t is greater then negative 6)

5 0

3 years ago