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Darina [25.2K]
2 years ago
12

Given p(x) = x+7/3 if p(x) = 13, find x.

Mathematics
1 answer:
Shtirlitz [24]2 years ago
3 0

Answer:

x = \frac{32}{3}

Step-by-step explanation:

We know that p(x) = 13. Thus, substitute 13 for the "p(x)" in the equation. Then, isolate x by subtracting both sides by \frac{7}{3}:

p(x) = x + \frac{7}{3}\\13 = x + \frac{7}{3} \\13 - \frac{7}{3} = x \\\frac{39}{3}- \frac{7}{3} = x \\\frac{32}{3} = x

Thus, x = \frac{32}{3}.

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Here's the question. ​
OleMash [197]

Answer:

The value of T₂₀ - T₁₅ is <u>-20</u>.

Step-by-step explanation:

<u>Given</u> :

  • >> If for an A.P, d = -4

<u>To</u><u> </u><u>Find</u> :

  • >> T₂₀ - T₁₅

<u>Using Formula</u> :

General term of an A.P.

\star{\small{\underline{\boxed{\sf{\red{ T_n = a  + (n - 1)d}}}}}}

  • >> Tₙ = nᵗʰ term
  • >> a = first term
  • >> n = no. of terms
  • >> d = common difference

<u>Solution</u> :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

{\dashrightarrow{\pmb{\sf{ T_n = a  + (n - 1)d}}}}

{\dashrightarrow{\sf{ T_{20} = a  + (20 - 1) d}}}

{\dashrightarrow{\sf{ T_{20} = a  + (19)d}}}

{\dashrightarrow{\sf{ T_{20} = a  + 19  \times d}}}

{\dashrightarrow{\sf{ T_{20} = a  + 19d}}}

{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a  + 19d}}}}}}

Hence, the value of T₂₀ is a + 19d.

\rule{190}1

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

{\dashrightarrow{\pmb{\sf{ T_n = a  + (n - 1)d}}}}

{\dashrightarrow{\sf{ T_{15}= a  + (15 - 1) d}}}

{\dashrightarrow{\sf{ T_{15}= a  + (14) d}}}

{\dashrightarrow{\sf{ T_{15}= a  + 14 \times d}}}

{\dashrightarrow{\sf{ T_{15}= a  + 14d}}}

{\star{\underline{\boxed{\sf \pink{ T_{15}= a  + 14d}}}}}

Hence, the value of T₁₅ is a + 14d

\rule{190}1

Now, finding the difference between T₂₀ - T₁₅ :

{\dashrightarrow{\pmb{\sf{T_{20} -  T_{15}}}}}

{\dashrightarrow{\sf{(a + 19d) -  (a + 14d)}}}

{\dashrightarrow{\sf{a + 19d -  a  -  14d}}}

{\dashrightarrow{\sf{a - a + 19d -  14d}}}

{\dashrightarrow{\sf{0+ 19d -  14d}}}

{\dashrightarrow{\sf{19d -  14d}}}

{\dashrightarrow{\sf{5 \times  - 4}}}

{\dashrightarrow{\sf{ - 20}}}

{\star \: \underline{\boxed{\sf{\pink{T_{20} -  T_{15} =  - 20}}}}}

Hence, the value of T₂₀ - T₁₅ is -20.

\underline{\rule{220pt}{3.5pt}}

3 0
2 years ago
36 creates of apples. each creat has 25 kgs of apples. they sell 486,235 games of apples. how many grams are left?
valentinak56 [21]

The grams of apples left is 413765 grams

<h3>How to determine the value</h3>

From the information given, we have that:

  • There are 36 crates of apples
  • Each contains 25 kilograms of apples
  • 486,235 grams of apples were sold

If we have 36 crates, let's determine the the total grams of apples

1 crate = 25 kilograms = 25000 grams

36 crates = x

x = 25000 × 36

x = 900000 grams

The total grams of apple is  900000 grams

The grams left = Total - sold =  900000 - 486,235 = 413765 grams

Thus, the grams of apples left is 413765 grams

Learn more about word problems here:

brainly.com/question/1781657

#SPJ4

8 0
2 years ago
Can someone tell me the answer please?
vovikov84 [41]
6.241 I think that's right
4 0
3 years ago
Use the Pythagorean Theorem to find the distance from Emma's house to the library.
AlladinOne [14]

Answer:square root 130

Step-by-step explanation:

4 0
3 years ago
NEED HELP WILL MARK BRAINIEST!
Illusion [34]

Answer:

A) 23+5=28

B) 23-5=18

i hope it helped

7 0
3 years ago
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