Find the value of c that makes the trinomial a perfect square: x^2– 40x + c

The best prediction of Riley’s height is 65.84 inches and it can be determined by using the linear regression equation.

Bryce wrote the linear regression equation,

[tex]\rm y=1.123x-6.443[/tex]

To predict the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches.

Which is the best prediction of Riley’s height?

To predict the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches.

[tex]\rm y=1.123x-6.443[/tex]

Where the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches,

Then,

The best prediction of Riley’s height is,

[tex]\rm 67.5 = 1.123x -6.443\\\\67.5+6.443=1.123x\\\\ 73.943 = 1.123x\\\\ x = \dfrac{73.943}{1.123}\\\\ x = 65.84 \ inches[/tex]

Hence, The best prediction of Riley’s height is 65.84 inches.

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Given that

log (x+y)/5 =( 1/2) {log x+logy}

We know that

log a+ log b = log ab

⇛log (x+y)/5 =( 1/2) log(xy)

We know that log a^m = m log a

⇛log (x+y)/5 = log (xy)^1/2

⇛log (x+y)/5 = log√(xy)

⇛(x+y)/5 = √(xy)

On squaring both sides then

⇛{ (x+y)/5}^2 = {√(xy)}^2

⇛(x+y)^2/5^2 = xy

⇛(x^2+y^2+2xy)/25 = xy

⇛x^2+y^2+2xy = 25xy

⇛x^2+y^2 = 25xy-2xy

⇛x^2+y^2 = 23xy

⇛( x^2+y^2)/xy = 23

⇛(x^2/xy) +(y^2/xy) = 23

⇛{(x×x)/xy} +{(y×y)/xy} = 23

⇛(x/y)+(y/x) = 23

Therefore, (x/y)+(y/x) = 23

Hence, the value of (x/y)+(y/x) is 23.

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[tex]a \: number \: x \: is \: reduced \: by \: 25\%[/tex]

[tex]25\% \: of \: x \: means \: ( \frac{25}{100} )(x) = 0.25x \\ \\=> x - 0.25x \\ = > 0.75x[/tex]

hope helpful~

The reduced quantity if x is reduced by 25% is 0.75x.

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

x is reduced by 25%,

Calculate the 25% of x as shown below,

25 / 100 × x

0.25x

Calculate the reduced quantity,

Reduced quantity = x - 0.25x

Reduced quantity = x(1 - 0.25)

Reduced quantity = 0.75x

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Answer:

Option 3

Step-by-step explanation:

This may not be the most efficient way, but I solved each one and option 3 had the same answer as the question.

Answer:

Step-by-step explanation:

I just did this question and it is 100% correct

Answer:

Step-by-step explanation:

It can end with a 0.

For example 12 * 5 = 60.

Answer:

y=8 x+2

Step-by-step explanation:

Answer:

65°

Step-by-step explanation:

x=180°-40°-75°

x=65°

Answer:

80d:1t

Step-by-step explanation:

320mi:4h

80mi:1h

80d:1t

Every hour the train travels 80 miles

Answer: d = 80t

Step-by-step explanation:

320 miles / 4 hours = 80 mph

distance = rate * time

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[tex]\large\huge\green{\sf{♥ Explanation♥}}[/tex]

∴Hence, at standard it is 13.00-4 =99.00 STD talk

off reached at Manila +8 Zone at 20.00

∴Hence at standard & 2000 -8

reached.⇒ 12.00 STD

(i) Time at Manila, whicle Plane de parts

12-3+8 ⇒9+8 → 17.00

(ii) duration = 3 hours.

(iii) in dubai 13.00 + 3 = 16,00

_____________________

Ans

i)17.0.0 (ii) 3 hours (iii) 16.00

________________________

♕ hence we done:) xD

Answer:

1.05x I think

Answer:

Perpendicular bisector

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The solution is 1.804 x 10⁷

The product of the two numbers is given by the equation A = 1.804 x 10⁷

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the product of two numbers be A

Now , the equation will be

Let the first number be P = 41

Let the second number be Q = 4.4 x 10⁵

The value of Q = 4.4 x 100000

The value of Q = 440000

The product of two numbers A = P x Q

Substituting the values in the equation , we get

The product of two numbers A = 41 x 440000

On simplifying the equation , we get

The product of two numbers A = 1,80,40,000

So , the value of A = 1.804 x 10⁷

Hence , the product of numbers is A = 1.804 x 10⁷

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Answer:

Step-by-step explanation:

Given:

x1 = -2

y1 = 1

slope (m) = 3/2

Solution:

y - y1 = m ( x - x1 )

y - 1 = 3/2 ( x - (-2) )

y - 1 = 3/2 ( x + 2 )

y - 1 = 3/2x + 3

y = 3/2x + 3 + 1

y = 3/2x + 4

Answer:

18

Step-by-step explanation:

6*6/2

Answer:

x = 19, y = -7, z = -18

Step-by-step explanation:

Since its a rhombus and 1 side = 29, all sides = 29. Just solve each side.

2x - 9 = 29

2x = 38

x = 19

-3y + 8 = 29

-3y = 21

y = -7

-2z - 7 = 29

-2z = 36

z = -18

The value of the variables x, y, and z will be 19, -7, and -18, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

All the sides of the rhombus are congruent with each other.

Then the equations are given below.

2x - 9 = 29

-3y + 8 = 29

-2z - 7 = 29

Simplify the first equation, then we have

2x - 9 = 29

2x = 38

x = 19

Simplify the second equation, then we have

-3y + 8 = 29

3y = - 21

y = -7

Simplify the third equation, then we have

-2z - 7 = 29

2z = - 36

z = - 18

The value of the variables x, y, and z will be 19, -7, and -18, respectively.

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Answer:

1380 km

Step-by-step explanation:

Each 4 cm = 920 km

6 cm is 1.5 x 4, so multiply 920 x 1.5

-8 to 8

Step-by-step explanation:

f(x) is the same as y when discussing functions. Therefore we look for the places where the line is above or touching the x axis

Answer:

An independent variable is a variable that represents a quantity that is being manipulated in an experiment. ... In the context of a function, the independent variables are the inputs to the function and the dependent variables are the outputs of the function.

Answer:

20*2.5=50

50*0.75=37.5

Hope This Helps!!!

Answer:270

Step-by-step explanation:

If its easy, why don’t you do it yourself??

Answer:

whats do you mean by that whats the question ❓

let something = x

[tex]8 \times 7=x \times 0.1 \\ x = \frac{8 \times 7}{0.1} \\ x = \frac{8 \times 7 \times 10}{1} \\ x = 560[/tex]

therefore, something = 560

Answer:

37

Step-by-step explanation:

All angles of a triangle have to add up to 180 degrees

180 - 113 - 30 = 37

37+113+30 = 180

Answer:

The discount is 18 dollars

Step-by-step explanation:

[tex] {x}^{2} + 8x + 12 = 0 \\ = > {x}^{2} + 6x + 2x + 12 = 0 \\ = > x(x + 6) + 2(x + 6) = 0 \\ = > (x + 2)(x + 6) = 0 \\ = > x = - 2 \: \: or \: \: - 6[/tex]

[tex]3x + 6 = 0 \\ = > 3x = - 6 \\ = > x = \frac{ - 6}{3} \\ = > x = - 2[/tex]

Here, the common solution is -2.

Answer:

x = -2.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

asdasd

Step-by-step explanation:

asdasdasd

Answer:

The answer is 852 I think. Please tell me if this is correct.

Step-by-step explanation: