Write the quadratic equation in standard form

Answer:

Step-by-step explanation:

Multiply both sides by - 21

-21 x x/-21 + 15 = 13 x -21

x + 15 = - 273

x = - 273 - 15

x = - 288

Answer:

86.2

Step-by-step explanation:

Answer:

11/12

Step-by-step explanation:

I'll answer ur question but the image is blurry

Answer:

  -2

Step-by-step explanation:

You want to know the dilation scale factor that gives triangle A'B'C from triangle ABC.

We notice that point A' is 4 units down and 2 units right of C, whereas A is 2 units up and 1 unit left of C. The ratio of these distances is the scale factor.

If up and right are positive, then ...

  k = (A' -C)/(A -C) = (2, -4)/(-1, 2) = -2

The dilation scale factor is -2.

Given:

The expression is:

[tex](-4)\times ...\times (-4) (11\text{ times})[/tex]

To find:

The exponential notation for the given expression.

Solution:

We know that

[tex]a\times a\times ...\times a(n\text{ times})=a^n[/tex]         ...(i)

We have,

[tex](-4)\times ...\times (-4) (11\text{ times})[/tex]

Using (i), the given expression can be written as:

[tex](-4)\times ...\times (-4) (11\text{ times})=(-4)^{11}[/tex]

Therefore, the exponential notation of the given expression is [tex](-4)^{11}[/tex].

Answer: 102.4

Given ratio 5:8

Let's assume the answer to be x

5÷8 should be equal to 64÷x

∴ x= (64×8) ÷ 5

=102.4

The number that has the same ratio to 64 as 5:8 is gotten as; 40

How to Calculate Ratio?

We have the ratio 5:8.

Now, we want to find the number that has the same ratio to 64 as 5:8. Thus, we will use proportion to get this;

x/64 = 5/8

Cross multiply to get;

x = 64 * 5/8

x = 40

Answer: It's a homozygous dominant genotype.

Step-by-step explanation: Two capital letters or two lowercase letters are homozygous.

y = 3x+4 ← equation of linear function.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have,

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = y_2-y_1/x_2-x_1

with (x₁, y₁ ) = (- 3, - 5) and (x₂, y₂ ) = (1, 7) ← 2 ordered pairs from the table

m = 7+5/1+3

  =12/4

   = 3 ,

So, y = 3x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (1, 7 ), we get,

7= 3 + c

⇒ c = 7-3

      = 4

Hence, y = 3x+4 ← equation of linear function

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Answer:

y = 5x + 4

Step-by-step explanation:

First I found the slope by using the the definition that slope is rise/run so I saw that the y value went up from 4 to 9 which is 5 units and then the x value went up one in that same time. This means that the slope is 5/1. Then I found the y intercept by seeing where x = 0. On the graph you can see the line touches the y - axis at a value of 4 which means that the y - intercept is 4. Plugging these values into the y = mx + b equation you get y = 5x + 4.

Answer:

y = 5x + 4

Step-by-step explanation:

Slope-intercept form uses the formula y = mx + b where m is the slope and b is the y-intercept.

The slope is 5, because from one point to another, you go up 5 and over one (5/1)

So you can substitute the slope into the formula:

y = (5)x + b

The y intercept is 4 because that is where the line crosses the y axis.

So substitute that:

y = (5)x + (4)

y = 5x + 4

Therefore , the solution to the given question of percentage comes out to be 7.89.

A% is a number that represents the percentage of 100 that it is, and it can also be stated as a decimal or a fraction. To convert a percentage to a fraction, place 100 in the denominator and the percentage number in the numerator.

Here,

Given : 40% of the money, a Trainer is given

30% of the money ,a student lead

Find the discount

40 * .15 = 6

Take this from the original price

0.30* 6.3 =1.89

The sale price is 6 + 1.89 =7.89

Therefore , the solution to the given question of percentage comes out to be 7.89.

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0.30 is the probability that the individual purchased the product

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.

Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.

Let, B = individual purchased the product

S = individuals recalls seeing the advertisement.

Here, P(B) = 0.20

P(S) = 0.40

P(B ∩ S) = 0.12

Thus, P(B | S) = P(B ∩ S) / P(S)

= 0.12/0.40

= 0.30

P(B) = 0.20 < P(B | S) =0.30

Yes, thus the probability that an individual will purchase the product will increase if the individual sees the advertisement first.  

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The complete question is as follows:

Answer:

[tex]\frac{2}{2} + \frac{1}{4} = \frac{5}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{2} + \frac{1}{4}[/tex]

Required

Solve

[tex]\frac{2}{2} + \frac{1}{4}[/tex]

Take LCM

[tex]\frac{2}{2} + \frac{1}{4} = \frac{4 + 1}{4}[/tex]

[tex]\frac{2}{2} + \frac{1}{4} = \frac{5}{4}[/tex]

Answer:

2/2 + 1/4 is 1.25 and               b hh b b b b b b b b b b b b b b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

There are 16 red balloons to 48 total. The ratio is 16:48. Simplified, it’s 1:3

On solving the provided question we can say that - area of the given triangle will be A = 60 cm sq.

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here,

B = 8cm

H = 15 cm

A = 1/2 BH = 1/2 X 8 X 15 = 60cm sq.

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Answer:

smallest circle. last option

Step-by-step explanation:

The measure that provides the best information for the reevaluates of premiums by the homeowners insurance company, is  A. claims per dollar value of property.

Homeowners insurance companies may reevaluate premiums for a variety of reasons, including:

This shows that claims per dollar value of a property can affect how an insurance company reevaluates rates.

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Options for this question include:

A. claims per dollar value of property

B. claims per year per city

C. claims per year

D. claims per sub-division

Answer:

Step-by-step explanation:

A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height? E. 1.2 F. 3.5 G. 4.7 H. 14.1

Answer:

10

Step-by-step explanation:

Answer:

4 or [tex]\sqrt{250}[/tex]

Step-by-step explanation:

I used M a t h w a y. it's really helpful. Good luck.

Answer:

yes

Step-by-step explanation:

maybe

The linear function that passes through (3,1) and has a slope of -1/2 is defined as follows:

y = -0.5x + 2.5.

The graph of the linear function is given by the image presented at the end of the answer.

The linear function for this problem is defined in slope-intercept format, as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

The slope of the function in this problem is given as follows:

m = -1/2 = -0.5

Hence:

y = -0.5x + b.

The line passing through point (3,1) means that when x = 3, y = 1, and thus the intercept b is obtained as follows:

1 = -0.5(3) + b

1 = -1.5 + b

b = 2.5.

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Answer:

I don't know how to work it out because I have not answered this question

Answer:

You would multiply across and then simplify ur answer. So you would do 6*5 which is 30 and then do 11*8 which is 88.  30/88 reduced is 15/44

Hope this helped  

[tex]\dfrac{6}{11} \times\dfrac{5}{8}[/tex]

When multiplying fractions, you have to multiply the numerator by numerator and the denominator by denominator.

[tex]\dfrac{6\time}{11} \times\dfrac{5}{8}[/tex]

[tex]\dfrac{6\times5}{11\times8}[/tex]

[tex]=\dfrac{30}{88}[/tex]

Reduce to simplest form:

[tex]\dfrac{30\div2}{88\div2}[/tex]

[tex]=\fbox{$\dfrac{15}{44} $}[/tex]

The positive integers are 14, 15 and 16

An algebraic expression can be defined as an expression that is made up of coefficients, terms, variables, factors and constants.

From the given information, we have that;

Let the consecutive integers be;

x, x+ 1, x+ 2

This can be represented as;

(x+1)(x+2) = 8(x + x+ 2)

Now, expand the bracket

x² + 2x + x + 2 = 8(2x + 2)

x² + 3x + 2 = 16x + 16

collect like terms

x² + 3x - 16x + 2 - 16 = 0

Add or subtract like terms

x² - 13x - 14 = 0

Solve the quadratic equation

x² -14x + x - 14 = 0

factor in pairs

x(x- 14) + 1(x -14) = 0

Then,

x = -1

x = 14

Take 'x' as 14

smallest integer = 14

Median = 14 + 1 = 15

Largest integer = 16

Hence, the values are 14, 15 and 16

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An inequality to find how many days he will have to go kayaking. is; d ≥ 4

We are told that Jay wants to go paddle boarding at least 8 hours each week. This means greater than or equal to 8. That is the minimum number of hours each week is 8 hours.

Now, we are told that he averages 2 hours per day. If the number of days is given by d, then we have the inequality as;

2d ≥ 8

Divide both sides by 2 to get;

d ≥ 4

That is the domain of the number of days required to go kayaking

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