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anygoal [31]
2 years ago
15

Helppppppp:)!!!!!!! :)))))))))

Mathematics
1 answer:
Maksim231197 [3]2 years ago
4 0

Answer:

-5a

Step-by-step explanation:

-21 + 16 = 16-21 16-21= -5 Therefore, a=-5

Give Brainliest if I helped Please!

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If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)
agasfer [191]

Answer:

  • g(x) = x + 3

Step-by-step explanation:

<h3>Given</h3>
  • h(x) = (f ο g)(x)
  • h(x) = \sqrt{x+5}
  • f(x) = \sqrt{x+2}
<h3>To find</h3>
  • g(x)
<h3>Solution</h3>

<u>We know that:</u>

  • (f ο g)(x) = f(g(x))

<u>Substitute x with g(x) and solve for g(x):</u>

  • \sqrt{x+5} = \sqrt{g(x)+2}
  • x + 5 = g(x) + 2
  • x + 3 = g(x)
  • g(x) = x + 3
7 0
3 years ago
Solve: 4 x 11 + 5 x 28 + 4
Zarrin [17]
188

4x11 + 5 x 28 + 4

44 + 140 + 4

188
7 0
1 year ago
Read 2 more answers
(08.07 HC)
andreev551 [17]

Answer:

\textsf{A)} \quad x=-2, \:\:x=\dfrac{5}{2}

\textsf{B)} \quad \left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)

C)  See attachment.

Step-by-step explanation:

Given function:

f(x)=2x^2-x-10

<h3><u>Part A</u></h3>

To factor a <u>quadratic</u> in the form  ax^2+bx+c<em> , </em>find two numbers that multiply to ac and sum to b :

\implies ac=2 \cdot -10=-20

\implies b=-1

Therefore, the two numbers are -5 and 4.

Rewrite b as the sum of these two numbers:

\implies f(x)=2x^2-5x+4x-10

Factor the first two terms and the last two terms separately:

\implies f(x)=x(2x-5)+2(2x-5)

Factor out the common term  (2x - 5):

\implies f(x)=(x+2)(2x-5)

The x-intercepts are when the curve crosses the x-axis, so when y = 0:

\implies (x+2)(2x-5)=0

Therefore:

\implies (x+2)=0 \implies x=-2

\implies (2x-5)=0 \implies x=\dfrac{5}{2}

So the x-intercepts are:

x=-2, \:\:x=\dfrac{5}{2}

<h3><u>Part B</u></h3>

The x-value of the vertex is:

\implies x=\dfrac{-b}{2a}

Therefore, the x-value of the vertex of the given function is:

\implies x=\dfrac{-(-1)}{2(2)}=\dfrac{1}{4}

To find the y-value of the vertex, substitute the found value of x into the function:

\implies f\left(\dfrac{1}{4}\right)=2\left(\dfrac{1}{4}\right)^2-\left(\dfrac{1}{4}\right)-10=-\dfrac{81}{8}

Therefore, the vertex of the function is:

\left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)

<h3><u>Part C</u></h3>

Plot the x-intercepts found in Part A.

Plot the vertex found in Part B.

As the <u>leading coefficient</u> of the function is positive, the parabola will open upwards.  This is confirmed as the vertex is a minimum point.

The axis of symmetry is the <u>x-value</u> of the <u>vertex</u>.  Draw a line at x = ¹/₄ and use this to ensure the drawing of the parabola is <u>symmetrical</u>.

Draw a upwards opening parabola that has a minimum point at the vertex and that passes through the x-intercepts (see attachment).

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2 years ago
The sum of 14 and a number is equal to 17
alexdok [17]
N+14=17. n=3. So the missing number is 3.
3 0
3 years ago
Read 2 more answers
The length of a line is y centimetres.
ElenaW [278]

Answer:

10y  mm

Step-by-step explanation:

We would need to know the conversion of cm to mm.

We know

1 cm = 10 mm

If we are given a certain amount of centimeters (cm), to get the answer in millimeters (mm), we multiply that by 10. Example:

1 cm = 10 mm

4 cm would be 4 * 10 = 40 mm

23 cm would be 23 * 10 = 230 mm

Now, we are given "y" centimeters.

So, we multiply by "10" to get the answer in millimeters.

Hence,

y * 10 = 10y millimeters (mm)

The line is 10y mm

3 0
3 years ago
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