PLEASE HELP

What is the solution to this equation? 3(4x + 3) = 2x - 5(3 - x) + 2 A. B. C. D.

RideAnS [48]

Answer:

Exact form - x= - 22/5

Decimal form - x=-4.4

Mixed Number form - x= -4 2/5

Step-by-step explanation: Isolate the variable by dividing each side by your factors that don't contain variables.

3 0

3 years ago

Which statement about triangles is true

Salsk061 [2.6K]

C is the correct answer. An equilateral triangle is a type of triangle.

6 0

3 years ago

What are the leading coefficient, constant term and degree, if any, of the algebraic expression 1+x^3

MA_775_DIABLO [31]

The degree refers to the x to some exponent where the highest exponent is the degree.
Degree: 3
The leading coefficient is the coefficient of the term we just found(of the highest exponent)
Leading Coefficient: 1
The constant term is the term without an x in it.
Constant Term: 1

4 0

3 years ago

each of 4 family members uses 175 minutes or fewer of their combined family cell phone plan. at the end of the month, the family

Mamont248 [21]

Answer:

x = ± ∜175 = ± 3.6371

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x^4-(175)=0

Step by step solution :

STEP

1

:

Trying to factor as a Difference of Squares:

1.1 Factoring: x4-175

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 175 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Polynomial Roots Calculator :

1.2 Find roots (zeroes) of : F(x) = x4-175

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers. The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 1 and the Trailing Constant is -175.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,5 ,7 ,25 ,35 ,175

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -174.00

-5 1 -5.00 450.00

-7 1 -7.00 2226.00

-25 1 -25.00 390450.00

-35 1 -35.00 1500450.00

-175 1 -175.00 937890450.00

1 1 1.00 -174.00

5 1 5.00 450.00

7 1 7.00 2226.00

25 1 25.00 390450.00

35 1 35.00 1500450.00

175 1 175.00 937890450.00

Polynomial Roots Calculator found no rational roots

Equation at the end of step

1

:

x4 - 175 = 0

STEP

2

:

Solving a Single Variable Equation:

2.1 Solve : x4-175 = 0

Add 175 to both sides of the equation :

x4 = 175

x = ∜ 175

The equation has two real solutions

These solutions are x = ± ∜175 = ± 3.6371

Two solutions were found :

x = ± ∜175 = ± 3.6371

4 0

3 years ago

Read 2 more answers

At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes

lakkis [162]

Answer:

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

Step(i):-

Mean of the Population = 1900

Given random sample size 'n' = 45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

Null Hypothesis:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

Alternative Hypothesis :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step(ii):-

Test statistic

$t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }$

t = -900 /33.54 = -26.517

|t| = |-26.517|=26.517

Degrees of freedom

γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

4 0

3 years ago