Convert the following to Standard Form: (x - 5)^2 + 4

Answers

Answer 1

Answer:

x² - 10x + 29

Step-by-step explanation:

The standard form of a quadratic is , ax² + bx + c (a ≠ 0 )

Given

(x - 5)² + 4 ← expand factor using FOIL

= x² - 10x + 25 + 4

= x² - 10x + 29 ← in standard form


Related Questions

Use the figure below to find angle PNO

Answers

Answer:

31 degrees

Step-by-step explanation:

A line has angle of 180 degrees.

So

[tex](2z+17)+(4z-23)=180\\6z-6=180\\6z=186\\z=31[/tex]

Find the area of each shaded sector. Round to the hundredths place
10. SR = 26m

Answers

Check the picture below.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=26\\ \theta =\stackrel{180+34}{214} \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (214)(26)^2}{360}\implies A=\cfrac{18083\pi }{45} \\\\\\ A \approx 1262.43 \end{array}[/tex]

Question is in the picture:

Answers

Answer:

here

Step-by-step explanation:

For the first one shade 38 squares

For the second one shade 65 of the squares

#1 is 38%

#2 is 65%

Answer:shade 19 out of 50 bloxks

Step-by-step explanation:

it shows on page

5x+10y=20
graph it using y=mx+b
show your work please​

Answers

Answer:

y=20-5x 10

Step-by-step explanation:

5x+10y=20y=mx+b10y=20-5xdivide by 10 both side10y=20-5x 10 = 10y=20-5x 10answer

If a number is divisible by 10, then its ones digit is 0
TRUE OR FALSE

Answers

Answer:

its true, depending on the times table.

Answer:

True

Step-by-step explanation:

This statement is always true.

What critical value of t* should be used for a 98% confidence interval for the population mean based on a random sample of 25 observations?


A. t* = 2.485

B. t* = 2.492

C. t* = 2.787

D. t* = 2.797

Answers

Using a t-distribution calculator, it is found that the critical value of t* for a 98% confidence interval with 25 observations is given by:

B. t* = 2.492

How to find the critical value of the t-distribution?

It is found using a calculator, with two inputs, which are given by:

The confidence level.The number of degrees of freedom, which is one less than the sample size.

In this problem, we have a confidence level of 98% and 25 - 1 = 24 df, hence the critical value is of t* = 2.492, which means that option B is correct.

More can be learned about the t-distribution at https://brainly.com/question/16162795

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1. Brother has 12 red blocks, 10 blue blocks, and 8 yellow blocks. What is the ratio of red blocks to yellow blocks?

Answers

[tex]ratio-of-red-blocks-to-yellow-blocks = \frac{number-of-red-blocks}{number-of-yellow-blocks} =\frac{12}{8} =\frac{3}{2}[/tex]

Answer: [tex]\frac{3}{2}[/tex] or   3 : 2

Hope it helps!

Answer:

3 : 2

Step-by-step explanation:

An object is thrown in the air with an initial velocity of 5 m/sec from a height of 9 m. The following equation models the height of the object in meters after t seconds. How many seconds does it take for the object to hit the ground?

Answers

Check the picture below.

[tex]~~~~~~\textit{initial velocity in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&5\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&9\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-4.9t^2+5t+9\implies \stackrel{h(t)}{0}=-4.9t^2+5t+9 \implies 4.9t^2-5t-9=0[/tex]

since we don't get any neat integer values from it hmmm let's plug that in the quadratic formula to see what we get as h(t) = 0.

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{4.9}t^2\stackrel{\stackrel{b}{\downarrow }}{-5}t\stackrel{\stackrel{c}{\downarrow }}{-9}=0 \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-5) \pm \sqrt { (-5)^2 -4(4.9)(-9)}}{2(4.9)}\implies t=\cfrac{5\pm\sqrt{25+176.4}}{9.8} \\\\\\ t=\cfrac{5\pm \sqrt{201.4}}{9.8}\implies t\approx \begin{cases} 1.96~~\checkmark\\ -0.94 \end{cases}[/tex]

notice, we do not use the negative value for "t", since the seconds cannot be less than 0.

I’m to lazy to do this right now anyone can give me an answer

Answers

Answer:

$75.50

Step-by-step explanation:

what is the solution of the following equation? 2x-5+3x=35

Answers

2x - 5 + 3x = 35

simplify

5x - 5 = 35

add 5 to both sides

5x - 5 + 5 = 35 + 5

simplify

5x = 40

divide both sides by 5

5x/5 = 40/5

simplify

x = 8

36 (highest)POINTS PLS ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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Answers

First you find the area, 14 x 10 which is 140 inches
Then, inches to foot (12 inches in 1 foot)
So, 140/12 which is 11 2/3 feet
Now 11 2/3 * 2.50 for each foot is 29.16 (rounded down, 29$) (not sure if this is right btw)


Need help asap please

Answers

Answer:

A

Step-by-step explanation:

[tex] {16}^{2} = {14}^{2} + {x}^{2} [/tex]

[tex]256 - 196 = {x}^{2} [/tex]

[tex]x = \sqrt{60} = 2 \sqrt{15} [/tex]

Solving a Two-Step Matrix Equation
Solve the equation:

Answers

Answer:

[tex]\boxed {x_{1} = 3}[/tex]

[tex]\boxed {x_{2} = -4}[/tex]

Step-by-step explanation:

Solve the following equation:

[tex]\left[\begin{array}{ccc}3&2\\5&5\\\end{array}\right] \left[\begin{array}{ccc}x_{1}\\x_{2}\\\end{array}\right] + \left[\begin{array}{ccc}1\\2\\\end{array}\right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]

-In order to solve a pair of equations by using substitution, you first need to solve one of the equations for one of variables and then you would substitute the result for that variable in the other equation:

-First equation:

[tex]3x_{1} + 2x_{2} + 1 = 2[/tex]

-Second equation:

[tex]5x_{1} + 5x_{2} + 2 = -3[/tex]

-Choose one of the two following equations, which I choose the first one, then you solve for [tex]x_{1}[/tex] by isolating

[tex]3x_{1} + 2x_{2} + 1 = 2[/tex]

-Subtract [tex]1[/tex] to both sides:

[tex]3x_{1} + 2x_{2} + 1 - 1 = 2 - 1[/tex]

[tex]3x_{1} + 2x_{2} = 1[/tex]

-Subtract [tex]2x_{2}[/tex] to both sides:

[tex]3x_{1} + 2x_{2} - 2x_{2} = -2x_{2} + 1[/tex]

[tex]3x_{1} = -2x_{2} + 1[/tex]

-Divide both sides by [tex]3[/tex]:

[tex]3x_{1} = -2x_{2} + 1[/tex]

[tex]x_{1} = \frac{1}{3} (-2x_{2} + 1)[/tex]

-Multiply [tex]-2x_{2} + 1[/tex] by [tex]\frac{1}{3}[/tex]:

[tex]x_{1} = \frac{1}{3} (-2x_{2} + 1)[/tex]

[tex]x_{1} = -\frac{2}{3}x_{2} + \frac{1}{3}[/tex]

-Substitute [tex]-\frac{2x_{2} + 1}{3}[/tex] for [tex]x_{1}[/tex] in the second equation, which is [tex]5x_{1} + 5x_{2} + 2 = -3[/tex]:

[tex]5x_{1} + 5x_{2} + 2 = -3[/tex]

[tex]5(-\frac{2}{3}x_{2} + \frac{1}{3}) + 5x_{2} + 2 = -3[/tex]

Multiply [tex]-\frac{2x_{2} + 1}{3}[/tex] by [tex]5[/tex]:

[tex]5(-\frac{2}{3}x_{2} + \frac{1}{3}) + 5x_{2} + 2 = -3[/tex]

[tex]-\frac{10}{3}x_{2} + \frac{5}{3} + 5x_{2} + 2 = -3[/tex]

-Combine like terms:

[tex]-\frac{10}{3}x_{2} + \frac{5}{3} + 5x_{2} + 2 = -3[/tex]

[tex]\frac{5}{3}x_{2} + \frac{11}{3} = -3[/tex]

-Subtract [tex]\frac{11}{3}[/tex] to both sides:

[tex]\frac{5}{3}x_{2} + \frac{11}{3} - \frac{11}{3} = -3 - \frac{11}{3}[/tex]

[tex]\frac{5}{3}x_{2} = -\frac{20}{3}[/tex]

-Multiply both sides by [tex]\frac{5}{3}[/tex]:

[tex]\frac{\frac{5}{3}x_{2}}{\frac{5}{3}} = \frac{-\frac{20}{3}}{\frac{5}{3}}[/tex]

[tex]\boxed {x_{2} = -4}[/tex]

-After you have the value of [tex]x_2[/tex], substitute for [tex]x_{2}[/tex] onto this equation, which is [tex]x_{1} = -\frac{2}{3}x_{2} + \frac{1}{3}[/tex]:

[tex]x_{1} = -\frac{2}{3}x_{2} + \frac{1}{3}[/tex]

[tex]x_{1} = -\frac{2}{3}(-4) + \frac{1}{3}[/tex]

-Multiply [tex]-\frac{2}{3}[/tex] and [tex]-4[/tex]:

[tex]x_{1} = -\frac{2}{3}(-4) + \frac{1}{3}[/tex]

[tex]x_{1} = \frac{8 + 1}{3}[/tex]

-Since both [tex]\frac{1}{3}[/tex] and [tex]\frac{8}{3}[/tex] have the same denominator, then add the numerators together. Also, after you have added both numerators together, reduce the fraction to the lowest term:

[tex]x_{1} = \frac{8 + 1}{3}[/tex]

[tex]x_{1} = \frac{9}{3}[/tex]

[tex]\boxed {x_{1} = 3}[/tex]

Which of the following is NOT a linear function?

Answers

Answer:

x^2 + 8 = 64 is not a linear function

Step-by-step explanation:

using the process of elimination and a graphing calculator, you can see that the rest of the functions give you a linear function. therefore, the answer is x^2 + 8 = 64 is not a linear function!! i hope this helps you!! <3

The [tex]x^2 + 8 = 64[/tex] is not the liner function.

The following information regarding the linear function is:

It is the function where the graph is in the straight line. The form in the linear function should be y = a + bx.In this, there is one dependent and one independent variable.

Therefore we can conclude that the [tex]x^2 + 8 = 64[/tex] is not the liner function.

Learn more about the linear function here: brainly.com/question/20286983

Lucien can buy 1 lb of Colombian coffee beans for $4.25 you can buy one pound of French roast coffee beans for $3.75 if he buys one pound mixture of the two kinds of beans for $4 how much of each kind of coffee bean does he buy​

Answers

Answer:

Colombian coffee bought = 0.5 lbs

French roast coffee beans bought = 0.5 lbs

Step-by-step explanation:

Let Colombian coffee bought = [tex]x[/tex] lbs

Total weight of mixture bought = 1 lbs

Therefore, French roast coffee beans bought = (1 - [tex]x[/tex]) lbs

Price of 1 lb Colombian coffee = $4.25

Price of [tex]x[/tex] lbs of Colombian coffee = $[tex]4.25x[/tex]

Price of 1 lb French roast coffee beans = $3.75

Price of (1 - [tex]x[/tex]) lbs French roast coffee beans = $3.75(1 - [tex]x[/tex])

It is given that total money spent is $4.

As per given statement:

[tex]4.25x+3.75(1-x)=4\\\Rightarrow 0.50x=0.25\\\Rightarrow x=\bold{0.5\ lbs}[/tex]

Colombian coffee bought = 0.5 lbs

French roast coffee beans bought = 0.5 lbs

Find the constant of proportionality if y varies directly with x for the values below.
x = 2
y = 11​

Answers

Answer:

y=5.5x

Step-by-step explanation:

what is the complement of 37 degrees without using a protractor, sketch the two angles so that they are adjacent

Answers

Answer:

the complement of 37 degrees is 53 degrees.

Step-by-step explanation:

90-37=53

At Gulfport Electronics, Randy earns a monthly salary of $1500 plus a 5% commission of x, his total monthly sales. If his March earnings total $2500, write and solve an equation that could be used to determine his total monthly sales for the month of March

Answers

Answer:

His March Earnings is $20000

Step-by-step explanation:

Given

[tex]Salary = \$1500[/tex]

[tex]Commission = 5\%\ of\ sales[/tex]

[tex]March\ Earnings = \$2500[/tex]

Required

Determine the monthly sales

Represent the monthly sales with x

The march earnings can be determined using:

[tex]March\ Earnings = Salary + Commission[/tex]

[tex]March\ Earnings = Salary + 5\%\ of\ x[/tex]

Substitute values of March Earnings and Salary

[tex]2500 = 1500 + 5\% * x[/tex]

[tex]2500 = 1500 + 0.05 * x[/tex]

[tex]2500 = 1500 + 0.05x[/tex]

Solve for 0.05x

[tex]0.05x = 2500 - 1500[/tex]

[tex]0.05x = 1000[/tex]

Solve for x

[tex]x = 1000/0.05[/tex]

[tex]x = 20000[/tex]

Hence:

His March Earnings is $20000

4. If m 1 = (10x + 42)° and m 7 = (2x + 6)º,
what is the value of x, m 1?

Answers

Answer:

Value of x = 8

(3x - 7) = (5x - 23)

-2x = -16

x = 8

Value of m 8 = 17 degrees

5(8) - 23

40 - 23 = 17

Lola bought 6 bracelets for $7.50 and 10 rings for $13.00. At the same time, Bella bought 8 bracelets and 7 rings. What is the total price for the items Bella bought? ​

Answers

Answer:$51.5

Step-by-step explanation:

There are 4 times as many dogs as cats if the total number of dogs and cats is 25 how many dogs are there

Answers

Answer:

6 times as many dogs as cats

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

So we know that if we combine all of the dogs and cats, we get 25. We also know that there are 4 times more dogs than cats, so we can call cats x, and dogs 4x.

So 4x + x = 25

5x = 25

x=5

There are 5 cats. Now that we know the number of cats , we just need to multiply that by 4, which is 20 dogs.

what are the missing numbers?

Answers

1Q= 5
6Q = 30
14Q= 70

Answer:

5, 30, and 70

Step-by-step explanation:

Multiply by  number of quarters by 5 to get the number of nickels.

Calculate the surface are of each of the following. Show your work.

Answers

Hey there!

[tex]⇢ \: A = 2wl + 2lh + 2hw[/tex]

L = 17 inW = 8 inH = 12

Substitute

[tex]⇢ \: = 2(8)(17) + 2(17)(12) + 2(12)(8)[/tex]

[tex]⇒872[/tex]

Surface area = 872 square inches

Help me pleaseeee
I need to fund the point in the line using this equation

Answers

Answer:(1,2)

Step-by-step explanation: The signs may not be right(positive, negative) Sorry it’s been a long time since I did this

1.2y+4.5-3.4y-6.3 pls help me

Answers

Answer:

-2.2y-1.8

Step-byStep-byStep-byStep-byStep-byStep-byStep-byStep-byStep-by

1.2y-3.4y=-2.2y

4.5-6.3=-1.8

ssoso:-2.2y-1.8

Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-intercept at (0, −30)? f(x) = −6(x 1)(x 5) f(x) = −6(x − 1)(x − 5) f(x) = −5(x 1)(x 5) f(x) = −5(x − 1)(x − 5).

Answers

Answer:

f(x) = −6(x+ 1)(x +5)

Step-by-step explanation:

x-intercepts at (−1, 0) and (−5, 0)

so the roots are -1 and -5 (where the graph intersects the x-axis)

this will give us that f(x) = (x- root1)(x-root2) = (x- -1)(x- -5) = (x+1)(x+5)

y-intercept at (0, −30) is telling us that when x= 0 the y = -30

y = a ( x+1)(x+5) , in general

y = a(0+1)(0+5), is the equation if x=0

-30 = a·1·5, we need y= -30 when x= 0

-30 = 5a , divide both sides of the equation by 5

-6 = a

The correct choice is :

f(x) = −6(x+ 1)(x +5)

f(x) = −6(x − 1)(x − 5)

f(x) = −5(x +1)(x +5)

f(x) = −5(x − 1)(x − 5).

100 points pls right answers only it’s for apex
An outlier point is added to a set of bivariate data. In what way must your analysis change with the addition of the outlier?
A. The sign of the regression coefficient will change from positive to
negative, or vice versa.
B. The value of the correlation coefficient will move closer to 0.
C. The regression constant will change dramatically.
D. All of the above.

Answers

Answer:

I already said b in the comment area so I'm just putting it here now

Step-by-step explanation:

(B) The value of the correlation coefficient will move closer to 0.

Bivariate data:Bivariate data in statistics refers to data on two variables, each of which has a value coupled with a value of the other variable. Normally, it would be interesting to look into any potential relationships between the two variables. The association can be investigated using sample statistics that can be utilized for inference, a tabular or graphical display, or both. The approach taken to look into the association would depend on how the variable was measured. Bivariate correlation or bivariate association are terms used to describe the links, which only involve two variables.

Therefore, the correct option is (B) The value of the correlation coefficient will move closer to 0.

Know more about Data here:

https://brainly.com/question/19243813

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Ingnd mxes 3 6 pounds of almonds with some raisins to make a trail mix She divides the trail mix into 12 equal portions Each portion weighs 0.7 of a pound How many pounds of raisins did she use to make the trail mix? Express the answer to the nearest tenth 2.9 4.8 5.1 7.2​

Answers

Answer:

The 12 portions weigh a total of 12*0.7 = 8.4 lbs

So, the almonds weigh 8.4 - 3.6 = 4.8 lbs

Answer:

4.8 pounds

Step-by-step explanation:

Let raisins weight be x

Then we get equation

(3.6 + x)/12 = 0.7

Solving for x

3.6 + x = 12*0.7x + 3.6 = 8.4x = 8.4 - 3.6x = 4.8 pounds

Option B is correct one

Distribute to create an equivalent expression with the fewest symbols possible.

1/2(10x+20y+10z) =

Answers

[tex]\\ \rm\longmapsto 1/2(10x+20y+10z)[/tex]

a(b+c)=ab+ac

[tex]\\ \rm\longmapsto 10x/2+20y/2+10z/2[/tex]

[tex]\\ \rm\longmapsto 5x+10y+5z[/tex]

Answer:

5x+10y+5z

Step-by-step explanation: it was on khan academy and it was right  

Simplify the following expression.

(8x + 4) - (2x2 + 4x - 7)

Answers

Answer:

-2x^2 + 4x + 11

Step-by-step explanation:

whats 2x2 ? do you mean 2x^2 ? if so then...

8x + 4 - 2x^2 - 4x + 7

4x + 11 - 2x^2

-2x^2 + 4x + 11

Answer:

this is the answers 2x^2+4x+11

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