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3 years ago

What is the value of x? Enter your answer in the box. x =

Mathematics

1 answer:

polet [3.4K]3 years ago

8 0

The two angles are the same value. To find, think of the equation 3x+50=6x-10. Put the 6x to the other side of the equation. You shall get -3x+50=-10. Move the 50 to the other side, and you'll end up with -3x=-60. Divide each number by -3 to find x now. Your final answer will be x=20.

Answer: x=20

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A^2 -2a+1÷6 ÷(a^2 -1)=

Tanya [424]

$\frac{ {6a}^{4} - {12a}^{3} - \: {6a}^{2} + 12a + 1 }{6(a + 1)(a - 1)}$

Simplify the expression

3 0

3 years ago

Given the function f(x)=3x+5a / x^2-a^2 find the value of a for which f'(12) = 0

maria [59]

The function, as presented here, is ambiguous in terms of what's being deivded by what. For the sake of example, I will assume that you meant

3x+5a
 f(x)= ------------
 x^2-a^2

You are saying that the derivative of this function is 0 when x=12. Let's differentiate f(x) with respect to x and then let x = 12:

(x^2-a^2)(3) -(3x+5a)(2x)
f '(x) = ------------------------------------- = 0 when x = 12
[x^2-a^2]^2

(144-a^2)(3) - (36+5a)(24)
------------------------------------ = 0
[ ]^2

Simplifying,

(144-a^2) - 8(36+5a) = 0

144 - a^2 - 288 - 40a = 0

This can be rewritten as a quadratic in standard form:

-a^2 - 40a - 144 = 0, or a^2 + 40a + 144 = 0.

Solve for a by completing the square:

a^2 + 40a + 20^2 - 20^2 + 144 = 0
(a+20)^2 = 400 - 144 = 156

Then a+20 = sqrt[6(26)] = sqrt[6(2)(13)] = 4(3)(13)= 2sqrt(39)

Finally, a = -20 plus or minus 2sqrt(39)

You must check both answers by subst. into the original equation. Only if the result(s) is(are) true is your solution (value of a) correct.

6 0

4 years ago

A manufacturer claims that the mean tensile strength of thread A exceeds the average tensile strength of thread B. To test his c

BaLLatris [955]

The complete part of the first sentence is;

A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 12 kilograms.

Answer:

we fail to reject the null hypothesis and conclude that the difference of the average tensile strength of thread A and thread B is less than 12

Step-by-step explanation:

We are given;

n_A = 16

n_B = 16

x'_A = 185 kg

x'_B = 178 kg

s_A = 6 kg

s_B = 9 kg

Let μ_A denote the population average tensile strength of thread A

Also, Let μ_B represent the population average tensile strength of thread B

Thus;

Null Hypothesis; H0;μ_A - μ_B ≤ 12

Alternative hypothesis;H1; μ_A - μ_B > 12

From the image attached, with a significance level of 0.05, the critical value for right tailed is 1.645. So we will reject the hypothesis is z > 1.645

Formula for z is;

z = (x'_A - x'_B - d_o)/√((s_A²/n_A) + (s_B²/n_B))

Plugging in the relevant values, we have;

z = (185 - 178 - 12)/√((6²/16) + (9²/16))

z = -5/2.7041634566

z = - 1.849

Since the z-value is less than 1.645,we fail to reject the null hypothesis and conclude that the difference of the average tensile strength of thread A and thread B is less than 12

7 0

3 years ago

Erin buys a bag of peanuts that weigh 3/4 of a pound. Later that week, the bag is 2/3 full. How much does the bag of peanuts wei

finlep [7]

X=amount bag weighs now

⅔*¾ = x
2/4 = x
x=½ pounds

3 0

3 years ago

Susan wants to find someone to do yard work at her house for the summer and fall seasons. WeWork charges a $200 fee and then a $

antiseptic1488 [7]

200+10h =200 +10 (5) = 250
50 +20h = 50 + 20 (5) = 150
definitely merry's company

7 0

4 years ago