I'm stuck on the last question of my maths test online. Please help!

Answer:

Step-by-step explanation:

a

Answer: 20 - 5

Step-by-step explanation:

Answer:D

Step-by-step explanation:Hope that helped

Answer:

5

Step-by-step explanation:

Pythagoras : a^2 + b^2 ≈ c^2

so, x^2 + (2x+2)^2 = (2x+3)^2

=> x^2 + 4x^2 + 8x + 4 = 4x^2 + 12x + 9

=> x^2 = 4x + 5

=> x^2 - 4x - 5 = 0

now solve the quadratic equating. a little bit of creative thinking and trying with the options of a (x-a)×(x+b)=0 approach (multiplying and adding of factors need to give us -5 but only -4x in the result, so we try a=-5 but then b=1 as "correcting" factor), and yes

(x-5)×(x+1) = x^2 - 4x - 5 = 0

this is only true, if at least one of the multiplication factors are 0.

so, x-5=0 or x+1=0. or both, but that is not possible.

x-5=0, when x=5.

x+1=0, when x=-1

-1 as the length of a side does not make any sense.

so, the only valid solution is x=5

Answer:

explanshun

Step-by-step explanation:

Step 1:

you use the rules of exponents to isolate a logarithmic expression (with the same base) on both sides in your equation.

Step 2:

Set the arguments equal out each other.

Step 3:

Solve you resulting equation.

Step 4:

Check your answer. 

Step 5:

Solve.

The quotient and remainder are x³ -5x² + 10x - 17 and 55.

What is Synthetic division?

When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.

Here, (x+2) is a linear factor which indicates that synthetic division can be applied.

So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.

(refer the attached solution)

Learn more about Polynomials from the given link:

https://brainly.com/question/29638766

#SPJ1

The expression in the choices has the value (a) equal to three raised to the sixth power divided by six raised to the fifteenth power.

The phrase is stated as follows: a fraction where the numerator is six raised to the negative third power, the denominator is three raised to the negative second power times six squared, and the whole thing is squared.

Correctly reformat the expression

Thus, we have

[6^-3/(3^-2 x 6^2)]

^3

Apply the term to the law of indices.

Thus, we have

[6^-3/(3^-2 x 6^2)]

^3 = [6^(-3 - 2)/(3^-2)]^3

Analyze the variation

[6^-3/(3^-2 x 6^2)]

^3 = [6^-5/(3^-2)]

^3

Use the rule of the change of power

[6^-3/(3^-2 x 6^2)]

^3 = [3^2/6^5]

^3 Analyze the exponents' product.

[6^-3/(3^-2 x 6^2)]

^3 = 3^6/6^15

The formula for the outcome is (a) 3 raised to the sixth power divided by 6 raised to the fifteenth power.

Consequently, the expression's value is (a).

To learn more about expressions refer to:

brainly.com/question/13818690

#SPJ1

A) Given the quadratic expression:

First, identify the coefficients of the expression:

a is the coefficient of the quadratic term, in this case, a=1

b is the coefficient of the x-term, in this case, b=10

Second, divide all terms by a=1, since we are dividing by one and the expression will remain the same, you can skip this step.

Third, pass the constant to the right side of the equation by applying the opposite operation to both sides of it:

Forth, complete the square by adding (b/2)²

For this expression b=10 so that:

So you have to add 25 to both sides of the expression:

The simplified expression is:

B)

To solve the expression you have to take the square root to both sides of it:

To determine the possible values of x, you have to solve both options separatelly:

1)

When solving this problem I got the answer -8x+4

Answer: 10 is your answer

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Just keep looking at the faces.

Hopefully im correct, this is my 1st one :)

Answer:

0.13

Step-by-step explanation:

Costs that do not change with output are called fixed costs.

Hence the correct option is D.

Fixed costs are the costs that does not change when output gets changed. Fixed cost is also known as overhead cost. For example, insurance, rent, profit, depreciation, and normal cost.

Fixed costs are indirect costs and must be paid irrespective of the level of production, that is, these costs can be incurred even when the level of production is zero. The best example for this is rent of the factory and payment on the lease for the equipment of the factory must be paid even if the level of production is zero.

To know more about fixed costs here

https://brainly.com/question/28838149

#SPJ4

Answer:

c which is 15

Step-by-step explanation:

15 - 3 is 12 and 12 split in half (or in case multiplied by 1/2) is 6.

Answer:

d) y^6/y^2

Step-by-step explanation:

y^6/y^2= y^4

Answer:

Step-by-step explanation:

This is because,

As,

\( {a}^{x} \div {a}^{y} = {a}^{x - y} \)

Here ,

\( {y}^{6} \div {y}^{2} \)

\( = {y}^{6 - 2} \)

\( = {y}^{4} \)

And here the result does not simplify to,

\( {y}^{3} \)

Hence, Last Option is the correct answer

Answer:

1,400,000,000

Step-by-step explanation:

We can express the value \(1.4\times 10^9\) in standard form by moving the decimal point of the coefficient (1.4) to the right 9 times because 9 is the exponent of the 10 term:

1,400,000,000.

False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

To learn more about cell frequency

https://brainly.com/question/31994396

#SPJ11

Answer:

-6 = x

Step-by-step explanation:

7 = x + 2x - 5 - 5x

7 = 3x - 5 - 5x

7 = -2x -5

7 + 5 = -2x -5 +5

12 = -2x

12/-2 = (-2x)/-2

-6 = x

\( \huge \pink{Question}\)

\(7 = x + 2x - 5 - 5x\)

\( \huge \pink{Answer}\)

\(7 = x + 2x - 5 - 5x\)

\(7 + 5 = x + 2x - 5x\)

\(12 = - 2x\)

\( \purple{x = - 6}\)

Answer:

28.095 cm^2

Explanation:

To determine the area of the given shape, we have to determine the area of the complete rectangle, then subtract the areas of each of the cut-out semi-circles as seen below;

From the shape, let's determine the length and width of the rectangle;

Length(l) = 2 cm + 5 cm + 2 cm = 9 cm

Width(w) = 1 cm + 4 cm + 1 cm = 6 cm

So the area of the complete rectangle will be;

Let's now determine the area of the top semi-circle given that the radius is 2cm (radius = diameter/2 = 4/2 = 2cm);

Given that the two semi-circles by the side of the rectangle have the same radius(r) which is 2.5cm (r = diameter/2 = 5/2 = 2.5cm), let's go ahead and determine their area;

So the area of the shape will be;

Therefore, the area of the shape is 28.095 cm^2

Answer:

Radius

Step-by-step explanation:

Answer:

radius

Step-by-step explanation:

eeeeeeeeeetrhdhhwhejehr

Answer:

g(x) = |x-3| -4

Step-by-step explanation:

to shift right by 3, subtract three from x inside the absolute value.

to shift down by 4, subtract 4 outside of the absolute value.

g(x) = |x-3| -4

Answer:

x= -6, -2

Step-by-step explanation:

Answer:

x=-6, x=-2

Step-by-step explanation:

Answer:

b / 3

Step-by-step explanation:

2br = 2r * b

6r = 2r * 3

A = 2br ÷ 6r

  = ( 2r * b ) / ( 2r * 3 )

A = b / 3

A statement of inequality that correctly compares two numbers is: D. 6,365.1 < 6,365.999.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

In this scenario, a statement of inequality that correctly compares two numbers is 6,365.1 < 6,365.999.

Read more on inequality here: brainly.com/question/14361489

#SPJ1

The total amount owed for the car repair bill is $537.

To calculate the total amount owed for the car repair bill, we need to add the cost of parts, labor, and sales tax.

Cost of parts: $354

Cost of labor: $143

Sales tax: $20

Total amount owed = Cost of parts + Cost of labor + Sales tax

Total amount owed = $354 + $143 + $20

Total amount owed = $517 + $20

Total amount owed = $537

Learn more about car repair here :-

https://brainly.com/question/10735333

#SPJ11

Answer:

Step-by-step explanation:

interior angles of polygons:

180(n-2)

1. =180(11-2)

=180(9)

=1620

2. 180(17-2)

=180(15)

=2700

The phenotypic ratio of the offspring as shown in the given Punnett square is: 1:3:3:9.

Phenotypic ratio is quantitative relation of the number of offspring of a cross that manifest a certain combination of traits or characteristic.

From the Punnett square given, there are:

Therefore, the phenotypic ratio would be: 1:3:3:9.

Learn more about phenotypic ratio on:

https://brainly.com/question/14578413

#SPJ1

Answer:

B it the answer 1:3:3:9

Step-by-step explanation:

Check the picture below.

so, we really graph the EQUATION of the expression, in this case we'd graph then h y = x² + 2x + 1. and y = −x² + 4x + 1.

then we notice that on the equation of the left-hand-side, it has "y>", meaning that "y is greater than", but never equals to that parabola, so, the line is dashed, meaning the border of the parabola is not part of the shaded area, or TRUE region.

for the one on the right-hand-side, we have "y⩾" or "y is greater than or equals", so the line is a solid line, pointing out the border of that parabola is included in the shaded part or TRUE region.

to check what section is true or not true, well, we can always pick a point on either side and check, so for example hmmmm let's check for the left-hand-side, hmmm the point above the parabola say hmmmm (2 , 3), so x = 3 whilst y = 3

\(3 > (2)^2+2(2)+1\implies 3 > 4+4+1\implies 3 > 9\leftarrow \textit{is this true?}\)

is 3 really greater than 9? well hell nope, so that's "false", so that region is the false region, thus is not shaded, that way we know the other region is the "true" region, and so that's the one we shade.

Answer:

The answer to your problem is -10

a. two critical points are (0,0) and (-2, -4). b. H has two positive eigenvalues, and (-2,-4) is a local minimum of f(x,y).

(a) To find the critical points of f(x,y), we need to find the partial derivatives of f(x,y) with respect to x and y, and then set them equal to zero.

∂f/∂x = 4x^3 - 8y

∂f/∂y = 4y - 8x

Setting these partial derivatives equal to zero and solving for x and y, we get:

4x^3 - 8y = 0 => y = x^3/2

4y - 8x = 0 => y = 2x

Substituting y = 2x into y = x^3/2, we get:

2x = x^3/2 => x(x^2 - 4) = 0

So we have two critical points: (0,0) and (-2, -4).

(b) To classify the critical points, we need to use the second partial derivative test. The Hessian matrix of f(x,y) is:

H = [12x^2 -8 -8-8 4 0-8 0 0]

At (0,0), we have H = [-8 -8; -8 4], which has determinant (-8)(4)-(-8)(-8) = 0 and trace -4. Since the determinant is zero, we cannot use the second partial derivative test at (0,0). Instead, we can observe that f(0,0) = 0, and f(x,y) is positive for all (x,y) not equal to (0,0). Therefore, (0,0) is a saddle point. At (-2,-4), we have H = [44 -8; -8 0], which has determinant (44)(0)-(-8)(-8) = 64 > 0 and trace 44 > 0. Therefore, H has two positive eigenvalues, and (-2,-4) is a local minimum of f(x,y).

Learn more about eigenvalues here

https://brainly.com/question/15586347

#SPJ11

Step-by-step explanation: