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3 years ago

What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?

Mathematics

2 answers:

iren2701 [21]3 years ago

8 0

Yeah they're right. 5, -9

irakobra [83]3 years ago

5 0

Answer:

Vertex (5 ,-9)

Step-by-step explanation:

Given : Function f(x) = (x – 8)(x – 2).

To find : What is the vertex of the quadratic function .

Solution : We have given that f(x) = (x – 8)(x – 2).

On removing parenthesis

f(x) = x²-2x -8x +16.

f(x) = x²-10x +16.

We need to find vertex of this function ,

Vertex: (h, k)

h = - $\frac{b}{2a}$ .

Plugging values

h = - $\frac{-10}{2(1)}$ .

h = 5 this is the x- coordinate,

Now , we will plug x= 5 in quadratic function .

k = (5)²-10(5)+16.

k = 25-50 + 16

k= -9.

Vertex (5 ,-9)

Therefore, Vertex (5 ,-9).

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The sum of eight times a number and negative four exceeds twelve

zavuch27 [327]

8(n + -4) > 12
8n +-32 > 12
12 + 32 equals 44
8n > 44
44 divided by 8 equals 5.5
So the answer is greater than 5.5

4 0

3 years ago

Read 2 more answers

Tim has to cover 3 tanks completley with paint.

bija089 [108]

answer:

<h3>Total surface area of 3 tanks=34.3 m^2</h3><h3>7 tins of paint are required.</h3>

Solution,

diameter of tank=1.4 m

Height of tank=1.9 m

Given tank has top and bottom 

Now, The total surface area of cylinder tank is given by:

 $tsa = 2\pi \: {r}^{2} + (2\pi \: r \: ) \times h$ 

r( radius of tank)=

 $\frac{diameter}{2} = \frac{1.4}{2} = 0.7 \: m$ 

h(height of tank)=1.9 m

TSA of 1 tank

=

 $2 \times 3.14 \times {(0.7)}^{2} + 2 \times 3.14 \times 0.7 \times 1.9 \\ = 11.435 \: {m}^{2}$ 

TSA Of 3 tanks

=

 $3 \times 11.435 \: {m}^{2} \\ = 34.3 \: {m}^{2}$ 

Given a tin of plate covers 5m^2 area.

No.of tins required:

1 tin 5m^2

x tin 34.3 m^2

 $5x = 34.3(cross \: multiplication) \\ or \: x = \frac{34.3}{5} \\ x = 6.86 \\ x = 7 \: tins$ 

therefore 7 tins are required.

Hope this helps...

Good luck on your assignment....

8 0

3 years ago

WILL GIVE BRAINLYIST

marysya [2.9K]

Answer:

64 degrees

Step-by-step explanation:

Since the triangles are similar they have the same angle measures

$\frac{PR}{PQ} =\frac{SU}{ST}$ $\frac{21}{14}= \frac{6}{4}$

∠P = ∠S ∠R =∠U ∠Q=∠T

We know 2 of the angle measures: ∠S and ∠R, and since they are similar we know ∠P and ∠U

In triangles the sum of all angle measures is always 180 degrees, so we can solve for ∠Q with this formula

$A+B+C=180$

$46+70+C+180$

$116+C=180$

subtract 116 from both sides

$C=64$

Therefore ∠Q is equal to 64 degrees

3 0

3 years ago

Use the expression to find the value of the 20th term. A. 24 B. 76 C. 80 D. 84

Oliga [24]

Answer:

Step-by-step explanation:

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5 0

3 years ago

You notice a hot air balloon descending. The elevation h

ANEK [815]

Answer:

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Step-by-step explanation:

8 0

3 years ago