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iris [78.8K]
2 years ago
13

HELP PLEASE

Mathematics
2 answers:
JulsSmile [24]2 years ago
5 0

Answer:

answer:  (-10)

Step-by-step explanation:STEP 1: subtract 6.1 on both sides

STEP 2: divide by 1.4 on both sides

HOPE THIS HELPS

scoray [572]2 years ago
4 0

<u>Solve the two-step equation and identify the steps.</u>

Equation:  1.4x     +     6.1     =      –7.9    

<u>Solution:   ======>     x        =       -10</u>


<u>Long  Version  from Calculation 1</u>

<u>Equation</u>

1.4x     +     6.1     =      –7.9    


<u>Steps:</u>

<u>Step 1): Multiply Both sides  by   10:</u>

1.4x  *  10     +     6.1   *   10    =      –7.9   *    10

<u>Refine:</u>

14x    +    61     =     -79

<u>Step 2): Subtract  61  from both sides:</u>

14x    +    61     -   61       =     -79     -    61

<u>Simplify:</u>

14x          =         140

<u>Divide both sides by  14:</u>

14x/14       =     -140/14

Simplify:

14x/14     =     x   =====>   14x/4

<u>Divide the numbers:</u>

14/14    =    1

=       x

-140/14    =      -10

-140/14

<u>Apply the fraction Rule:</u>

-a/b        =       - a/b

=            -140/14

<u>Divide the numbers:</u>

140/14      =        10

=            -10

<u>Answer,      Letter  Choice, (A),      x        =       -10</u>







<u>Short  Version</u> <u>From Calculator Number 2:</u>

Equation:     1.4x     +    6.1      =      -79

<u>Solution          Option   (A),       x        =     -10</u>

<u>Let's solve your equation step by step:</u>

1.4x     +      6.1       =     -7.9

<u>Step  1     Subtract   6.1    from both sides:</u>

1.4x     +    6.1     -    6.1       =      -7.9       -     6.1

1.4x         =       -14

<u>Step  2  Divide both sides by   1.4:</u>

1.4x/1.4      =          -14/1.4

x                   =          -10

<u>Answer            x        =          -10     Option   (A)</u>







Hope that helps!!!!                                   : )


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Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a)
Anna35 [415]

Rolle's Theorem does not apply to the function because there are points on the interval (a,b) where f is not differentiable.

Given the function is f(x)=\sqrt{(2-x^{\frac{2}{3}})^{3}}  and the Rolle's Theorem does not apply to the function.

Rolle's theorem is used to determine if a function is continuous and also differentiable.

The condition for Rolle's theorem to be true as:

  • f(a)=f(b)
  • f(x) must be continuous in [a,b].
  • f(x) must be differentiable in (a,b).

To apply the Rolle’s Theorem we need to have function that is differentiable on the given open interval.

If we look closely at the given function we can see that the first derivative of the given function is:

\begin{aligned}f(x)&=\sqrt{(2-x^{\frac{2}{3}})^3}\\ f(x)&=(2-x^{\frac{2}{3}})^{\frac{3}{2}}\\ f'(x)&=\frac{3}{2}(2-x^{\frac{2}{3}})^{\frac{1}{2}}\cdot \frac{2}{3}\cdot (-x)^{\frac{1}{3}}\\ f'(x)&=\frac{-\sqrt{2-x^{\frac{2}{3}}}}{\sqrt[3]{x}}\end

From this point of view we can see that the given function is not defined for x=0.

Hence, all the assumptions are not satisfied we can reach a conclusion that we cannot apply the Rolle's Theorem.

Learn more about Rolle's Theorem from here brainly.com/question/12279222

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8 0
2 years ago
-10(10x-12)=-9(-9x-2)-5
Viefleur [7K]

10(10x−12)=−9(−9x−2)−5
Step 1: Simplify both sides of the equation.
−10(10x−12)=−9(−9x−2)−5
(−10)(10x)+(−10)(−12)=(−9)(−9x)+(−9)(−2)+−5(Distribute)
−100x+120=81x+18+−5
−100x+120=(81x)+(18+−5)(Combine Like Terms)
−100x+120=81x+13
−100x+120=81x+13
Step 2: Subtract 81x from both sides.
−100x+120−81x=81x+13−81x
−181x+120=13
Step 3: Subtract 120 from both sides.
−181x+120−120=13−120
−181x=−107
Step 4: Divide both sides by -181.
−181x
−181
=
−107
−181
x=
107
181
Answer:
x=
107
181

7 0
3 years ago
Read 2 more answers
Help!!! Choose the product . - 6p ^ 3 * (3p ^ 2 + 5p - 1)
Lunna [17]

Answer:

-18p^{5} -30p^{4} +6p^{3}

Step-by-step explanation:

(-6p^{3} )(3p^2+5p-1)

(-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)

-18p^{5} -30p^{4} +6p^{3}

<em>hope this helps.....</em>

8 0
2 years ago
Find the slope of the line√3y-x-2√x​
expeople1 [14]
Please insert a picture of the question
5 0
3 years ago
Two streets bounding your triangular lot make an angle of 74∘. The lengths of the two sides of the lot on these streets are 126
ycow [4]

Answer: a) Yes, there is enough fance

b) 58.1° and 47.9°

c) The city will not approve, because 1/3 of the area is just 2220.5ft²

Step-by-step explanation:

a) using law of cosines: x is the side we do not know.

x² = 126² + 110² - 2.126.110.cos74°

x² = 20335.3

x = 142.6 ft

So 150 > 142.6, there is enough fance

b) using law of sine:

sin 74/ 142.6 = sinα/126 = sinβ/110

sin 74/ 142.6 = sinα/126

0.006741 = sinα/126

sinα = 0.849

α = sin⁻¹(0.849)

α = 58.1°

sin 74/ 142.6 = sinβ/110

sin 74/ 142.6 = sinβ/110

0.006741 = sinβ/110

sinβ = 0.741

β = sin⁻¹(0.741)

β = 47.9°

Checking: 74+58.1+47.9 = 180° ok

c) Using Heron A² = p(p-a)(p-b)(p-c)

p = a+b+c/2

p=126+110+142.6/2

p=189.3

A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)

A = 6661.5 ft²

1/3 A = 2220.5

So 2300 >  2220.5. The area you want to build is bigger than the area available.

The city will not approve

7 0
3 years ago
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