How to find the solutions for a quadratic inequality?

Answer:

36

Step-by-step explanation:

took it

Answer:

mine is 6.7

Step-by-step explanation:

Phoebe got £180, Andy got £60 and Polly got £30

The amount shared is given as:

Amount = £270

Represent Phoebe's share with x, Andy's with y and Polly's with z.

From the question, we have:

x = 3y

y = 2z

So, we have:

x : y : z = 3y : 2z : z

This gives

x : y : z = 6z : 2z : z

When £270 is shared in the above ratio, we have:

x : y : z = 180 : 60 : 30

Hence, Phoebe got £180, Andy got £60 and Polly got £30

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The question involves understanding square roots and cube roots in mathematics. The square root of 16 is 4 and of 4 is 2. The cube root of 4 is about 1.587 and of 16 is approximately 2.52.

The question is related to the concept of roots, specifically square roots and cube roots. A square root of a number is a value that, when multiplied by itself, gives the original number. The square root of 16 is 4 because 4*4 equals 16. Similarly, the square root of 4 is 2 because 2*2 equals 4.

On the other hand, the cube root of a number is a value that, when multiplied by itself twice, gives the original number. The cube root of 4 is approximately 1.587 because 1.587*1.587*1.587 is roughly equal to 4. The cube root of 16 is approximately 2.52 because 2.52*2.52*2.52 is roughly equal to 16.

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To find the y-intercept from two points, first calculate the slope using the formula m = (Y₂ - Y₁) / (X₂ - X₁). Then, substitute the slope and one coordinate into the equation y = mx + b and solve for b, which is the y-intercept. The y-intercept reveals the value of y when x = 0.

The subject at hand pertains to the field of Mathematics, specifically, how to determine the y-intercept from two points on a line. The objective is to find the point at which the line intercepts the y-axis, denoted generally in equations as b in the form of y = mx + b, where m signifies the slope.

Here's a step-by-step process to find the y-intercept:

The y-intercept represents the value of y when x = 0. In context, it shows where the line crosses the y-axis.

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since the known angle is 45 degrees both the height and the base are equal

 so y = 6

the hypotenuse (x) on a 45 degree triangle = the side time sqrt(2)

 so x = 6sqrt(2)

The estimated standard error for the mean difference between two samples with sizes of 5 and 10 respectively, and a pooled variance of 30, is calculated using the standard error formula. The standard error is 3.

The question you've asked falls under the realm of statistics, in specific it involves the calculation of the estimated standard error for differences between two sample means (one with n=5 scores and the second with n=10 scores) given a pooled variance of 30.

The formula to find the estimated standard error for a difference between two sample means is:

SE = sqrt[(s1^2/n1) + (s2^2/n2)]

Where s1^2 and s2^2 are the variances of the two samples and n1 and n2 are the sizes of two samples respectively. As we do not know the variances for the individual samples, we can use the pooled variance as an estimate. The pooled variance can be considered as s1^2 = s2^2 = 30.

Now substitute these values in the equation, we get:

SE = sqrt[(30/5) + (30/10)] = sqrt[6+3] = sqrt[9] = 3

So, the estimated standard error for the mean difference between these two samples is 3.

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The slope of the line given the points (-2, 6) and (0, 4) is -1. The correct answer would be option (A).

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

We have to determine the slope of the line given the points (-2, 6) and (0, 4)

Plugging in the given points, we get:

m = (4 - 6) / (0 - (-2)) = -2 / 2 = -1

So, the slope of the line is -1.

Hence, the correct answer would be an option (A).

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The answer is B. He will pay $431.

A line segment or ray that is perpendicular to the segment at its midpoint is called perpendicular bisector.

A straight line that forms a 90° angle with another line is said to be perpendicular. A small square is placed between two perpendicular lines, as seen in the illustration, to indicate a right angle, also known as a 90° angle. The two lines in this instance are considered to be perpendicular to one another because they intersect at a straight angle.

A line that divides a line segment into two equal halves and forms a 90° angle at the place of intersection is called a perpendicular bisector. In other words, a perpendicular bisector splits a line segment at its halfway, creating a 90° angle.

Therefore, a line segment or ray that is perpendicular to the segment at its midpoint is called perpendicular bisector.

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The value of solution of quadratic equation 5x² + 10x - 5 = 0 is,

⇒ x = - 1 ± √2

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

Equation is,

5x² + 10x - 5 = 0

Now, We can solve by using quadratic formula as;

⇒ x = - 10 ± √10² - 4×5×- 5 / (2×5)

⇒ x = - 10 ± √100 + 100 / 10

⇒ x = - 10 ± √200 / 10

⇒ x = - 1 ± √2

Thus, The value of solution of quadratic equation 5x² + 10x - 5 = 0 is,

⇒ x = - 1 ± √2

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divide total paid by number of pencils for price of 1 pencil

4.50 / 18 = 0.25 for 1

 so you would put a dot at (1, 0.25) (2,0.5) (3,0.75) etc and draw a line through the dots

 see attached picture:

Answer: The area of the parallelogram with the given vertices=238 square units.

Step-by-step explanation:

Let CD be the base of the parallelogram ABCD is given by distance formula

CD=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} =\sqrt{(-12-2)^2+(-5-(-5))^2} =\sqrt{196} =14[/tex]units[or you can count distance by using graph as ordinates of C and D are same to we can count the distance of x from C to D]

Now consider P a point on CD such that AP become the height of the parallelogram which is given by (from the graph attached)=17 [as abscissa of P and A are same to we can count the distance of y from A to P]

Area of parallelogram = base × height=14×17=238 square units.

for estimating round both the price of shoes and the percentage to round numbers

97.65 is close to 100, so use 100 for the price of shoes

68% is close to 70 so use 70%

 then multiply 100 by 70 %,

100 *70% = 70 dollars

 so Isaac would pay around 70 dollars

Step-by-step explanation:

first you need to see how much his sister is paying and she is paying 32% and that is 31.24 then you need to subtract 97.65 by 31.24 which will equal 66.41 so Isaac will pay $66.41 hope this helps if your going to use it change the wording up a bit

When Lisa purchased her house, the mortgage lender required her homeowner's insurance to cover 100% of the loan amount. After many years, Lisa paid off her mortgage. If Lisa decided to comparison shop for homeowner's insurance now, then the insurance coverage amount be based on the cost to rebuild the house.