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Dvinal [7]
3 years ago
14

Who get to the top first if one place get there three thirds time and the other one third

Mathematics
1 answer:
kirill [66]3 years ago
8 0
I think three thirds will get to the top first
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The table represents a quadratic function. Write an equation of the function in standard form.
kakasveta [241]

The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.

<h3>Standard form equation of a quadratic function.</h3>

It follows from the task content that the standard form equation of the quadratic function is to.be determined.

Since the standard form equation can be derived from the vertex form equation as follows;

f(x) = a (x - h)² + k

f(x) = a (x - 6)² - 7

Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;

-11 = a (8 - 6)² - 7

-11 = 4a - 7

4a = -4

a = -1.

Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;

f(x) = -1(x² - 12x + 36) - 7

f(x) = -x² + 12x - 43

Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.

Read more on quadratic functions;

brainly.com/question/25841119

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5 0
1 year ago
How many trucks carried only late variety?
murzikaleks [220]

9514 1404 393

Answer:

  • late only: 15
  • extra-late only: 24
  • one type: 43
  • total trucks: 105

Step-by-step explanation:

It works well when making a Venn diagram to start in the middle (6 carried all three), then work out.

For example, if 10 carried early and extra-late, then only 10-6 = 4 of those trucks carried just early and extra-late.

Similarly, if 30 carried early and late, and 4 more carried only early and extra-late, then 38-30-4 = 4 carried only early. In the attached, the "only" numbers for a single type are circled, to differentiate them from the "total" numbers for that type.

__

a) 15 trucks carried only late

b) 24 trucks carried only extra late

c) 4+15+24 = 43 trucks carried only one type

d) 38+67+56 -30-28-10 +6 +6 = 105 trucks in all went out

8 0
3 years ago
Factor:<br> 16g^2-26gh-35h^2
Sever21 [200]

Answer:

The factored form would be (8g + 7h)(2g - 5h)

Step-by-step explanation:

In order to find this, we need to use factors of 16g^2 in the front of the parenthesis. We also need to use factors of -35h^2 in the second side. Now we try these in the parenthesis and FOIL until we get an appropriate middle term.

6 0
3 years ago
Simplify this expression please and thank you
Sergeeva-Olga [200]
The answer is 2x-y

step-by-step explanation
in order to simplify you have to come one like terms and in this case you have your 3x and you’re subtracting x which is also know as 1x.
3x - 1x = 2x (then you still have your y) so 2x-y
8 0
2 years ago
Triangles LMN and NWR are right triangles. What is
Sever21 [200]

Answer:

NW = 15.6 cm

Step-by-step explanation:

If ΔLMN ~ ΔNWR then:

\sf LN : LM = RN : RW

\implies \sf \dfrac{LN}{LM}=\dfrac{RN}{RW}

\implies \sf \dfrac{10}{24}=\dfrac{6}{RW}

\implies \sf 10RW=6 \cdot 24

\implies \sf RW = 14.4\:cm

Find NW by using Pythagoras' Theorem:

a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

  • a = RN = 6 cm
  • b = RW = 14.4 cm
  • c = NW

Substituting the given values into the formula and solving for NW:

\implies \sf 6^2+14.4^2=NW^2

\implies \sf NW^2=243.36

\implies \sf NW=\sqrt{243.36}

\implies \sf NW=15.6\:cm

4 0
2 years ago
Read 2 more answers
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