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Ne4ueva [31]
3 years ago
9

Substitute each given value of the variable to find which, if any, is a solution of inequality.

Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0

Given:

The inequalities are:

a) w

b) t>-25, t=-24, -25, -25.1, -27

To find:

The solution of inequalities by substituting the given values.

Solution:

a) We have,

w

After substituting the given values one by one, we get

-4.3 False statement.

-5.3 False statement.

-8.3 True statement.

-9 True statement.

Therefore the solutions of w are w=-8.3, -9.

b)

We have,

t>-25, t=-24, -25, -25.1, -27

After substituting the given values one by one, we get

-24>-25 True statement.

-25>-25 False statement.

-25.1>-25 False statement.

-27>-25 False statement.

Therefore, the solution of t>-25 is t=-24.

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Meenu bought two fans for ₹1200 each. She sold one at a loss of 5% and the other at a profit of 10%. Find the selling price of e
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<h3><u>Solution: </u></h3>

Overall<u> </u>CP of each fan = ₹1200 .

One is sold at a loss of 5% .

  • ( This means if CP is ₹100, SP is ₹95 ) .

• Therefore,When CP is ₹1200 , Then SP is ₹ 1140.

=  >  \frac{95}{100}  \times 1200 = 1140

Also,Second fan is sold at a profit of 10% .

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Therefore , When CP is ₹1200 , Then SP is ₹1320.

<u>• We need to find the combined CP and SP to say whether there was an overall profit or Loss.</u><u>.</u>

  • Total CP = ₹ 1200 + ₹ 1200 = ₹ 2400.
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Since total SP > total CP , A profit of ₹ ( 2460 - 2400 ) or ₹60 has been made ..

<h3>Hope this helps you :)</h3>
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Find an equation of the parabola y = ax2 + bx + c that passes through (0, 1) and is tangent to the line y = 4x − 4 at (1, 0).
larisa86 [58]
We are given the following:
          - parabola passes to both (1,0) and (0,1) 
<span>          - slope at x = 1 is 4 from the equation of the tangent line </span>

<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>

<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1 
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<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the  equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b 
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<span>x = 1, y' = 2
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So, we have two equations and  two unknowns,<span> </span>
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<span>a + b = -1 
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Solving simultaneously,
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Help please I really need to pass
Mars2501 [29]

Answer:

A

Step-by-step explanation:

The rest of the steps are right

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