30. When asked his age, the algebra teacher said, "If you
square my age, then subtract 23 times my age, the
result is 50. How old is be?
F. 23
G. 25
H. 27
J. 46
K. 50

Answers

Answer 1

Answer:

25 years old

Step-by-step explanation:

Let the teacher's age be a.

Then:

a^2 - 23a = 50

In standard form, this quadratic is

x^2 - 23a - 50 = 0

Factoring this, we get (x - 25)(x + 2) = 0

So a is either 25 or a is -2.  Only a = 25 is relevant here.

The teacher is 25 years old (Answer G)


Related Questions

What is the value of x?

Answers

Answer:

x = 58

Step-by-step explanation:

Angle =  1/2(difference of intercepted arcs)

51 = 1/2 ( 160 -x)

Multiply each side by 2

2*51 = 160-x

102 = 160-x

Subtract 160

102 -160 = -x

-58 = -x

58 =x

In the diagram below of triangle KLM, N is a midpoint of KL and P is a midpoint
of LM. If mZPNL = 2x + 61, and MKN = 97 - 7x, what is the measure of
ZPNL?

Answers

Answer:

Solution:

(1/12)^(-2b) * 12^(-2b+2) = 12

(12^-1)^(-2b) (12)^(-2b+2) = 12

(12^2b)(12)^(-2b+2) = 12

12^(2b-2b+2) = 12

12^2 = 12

144 does not equal 12

No solution.

Step-by-step explanation:

The measure of angle PNL will be equivalent to 69 degrees.

What is triangle?

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a triangle KLM such that N is a midpoint of KL and P is a midpoint of LM.

Triangles LMP and LKM are similar to each other. Therefore, PN will be parallel to MK. So angle PNL will be equal to angle MKN. Therefore -

2x + 61 = 97 - 7x

9x = 97 - 61

9x = 36

x = 4

So, angle PNL will be equal to -

2 x 4 + 61

69 degrees

Therefore, the measure of angle PNL will be equivalent to 69 degrees.

To solve more questions on triangles, visit the link below-

brainly.com/question/25950519

#SPJ2

Betty Baker is making her famous chocolate-chocolate chip cake. She uses 2/3 cup of sugar to make a 1/4 sheet cake. How much sugar would she need to make a full sheet cake?

Answers

Answer: 3 1/3

Step-by-step explanation:

Can an absolute value equal a negative?

Answers

The distance of it away from zero cannot be a negative distance, distance is always positive therefor the absolute value will always be positive.

Short answer: no, absolute value is always positive

I hope this helps :)

help!!!!
Given JB is the segment bisector of AD, AD = 24 and AZ: 2x + 4 Find the value of x.
(ps the side cut off on the right is just point d)

Answers

Answer:

x = 4

Step-by-step explanation:

Since JB is the bisector of AD and the length of AD is given as 24 we can conclude that AZ is 12 (half of AD)

2x + 4 = 12

2x = 8

x = 4

can someone tell me the difference between sine, cosine, and tangent

Answers

Answer:

sin∅ = opposite over hypotenuse

cos∅ = adjacent over hypotenuse

tan∅ = opposite over adjacent

Step-by-step explanation:

Each of these trigs are used to find angles or lengths of a triangle.

sin∅ would be the y-value of the unit circle.

cos∅ would be the x-value of the unit circle.

What is the perimeter of the rectangle

Answers

Answer:

6x+6

Step-by-step explanation:

To find the perimeter you are going to add the length of all the edges. 2x+3 + 2x+3+x+x. When you simplify it all you found your answer.

If 4 times a number is added to -8 the result is equal to 12 times the number

Answers

Answer:

-1

Step-by-step explanation:

let 'x' be the unknown number

4x+(-8)=12x

4x-8 =12x

-8=12x-4x

-8=8x

-8=8x

8 8

x=-1

hope it helps ❤❤❤

For any question comment me

Regroup to express the number in a different way. \begin{aligned} 73{,}250= &7\text{ ten thousands} +3 \text{ thousands} +2 \text{ hundreds} +5\text{ tens} \\\\ 73{,}250=& 7\text{ ten thousands} +3 \text{ thousands} +1 \text{ hundred} + \bigstar\text{ tens} \end{aligned} 73,250= 73,250= ​ 7 ten thousands+3 thousands+2 hundreds+5 tens 7 ten thousands+3 thousands+1 hundred+★ tens ​ \bigstar=★=\bigstar, equals

Answers

Answer:

i got you wait an sec

Step-by-step explanation:

Please help!!! Fist answer gets brainliest

Answers

To multiply exponents, you add them. To divide exponents, you subtract them. The answer would be 5 to the power of -3. However, we need to change that. 5 to the power of -3 is equal to 1 divided by 5 to the power of 3. 1 divided by 5 to the power of 3 is correct.

-14 = -8m + 2
please help!​

Answers

The answer for -14 =-8m + 2 is M=2

A scale drawing of a school bus has a scale of 1 inch to 5 feet. If the length of the school bus is 6 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning. *

Answers

Answer: 30 Feet

Step-by-step explanation:

In Technical drawings scales are used to reduce the size ( scaling ) of drawings so they fit in our drawing sheets. in this example above the drawer stated that 1inch was representing 5feet. what this means is that because we can’t get a drawing sheet which would be 40-100 feet wide we need to rescale our drawing to fit into the available sheet. So by saying 1inch equals 5feet this means the school bus is 30Feet in length.

B is incorrect so it's not the answer...

Answers

Answer:

x^2 - 4x - 3

Step-by-step explanation:

f(x) = x^2 - 6x

g(x) = -2x + 3

(f - g)(x) is the subtraction of the functions, f(x) - g(x)

You need to write it carefully using parentheses for function g(x).

(f - g)(x) = f(x) - g(x) =

= x^2 - 6x - (-2x + 3)

Now take care of the parentheses by distributing the negative sign to its left. It will change every sign inside the parentheses.

= x^2 - 6x + 2x - 3

= x^2 - 4x - 3

Walter is planning a hiking trip and he estimated the gradient of trail to be 213.6 ft/mile. After hiking and tracking the trail, he found that the trail was actually 202.7 ft/mile. What was his percent error? Did he overestimate or underestimate the gradient?

Answers

Answer: His percent error = 5.38 %

He overestimated the gradient.

Step-by-step explanation:

Formula : [tex]Percent\ error =\dfrac{|Estimated\ value- Actual\ value|}{Actual\ value}\times100[/tex]

Given, Estimated gradient of trail  = 213.6 ft/mile

Actual gradient of trail  =  202.7 ft/mile

Since,  213.6 > 202.7 , that means he overestimated the gradient.

Percent error: [tex]\dfrac{|213.6-202.7|}{202.7}\times100[/tex]

[tex]=\dfrac{10.9}{202.7}\times100\\\\\approx5.38\%[/tex]

Hence, percent error = 5.38 %

Enter 4 3/8 as a decimal

Answers

3/2= 1,5
Hope this helps
4.375? Not really sure..

Which describes the transformations of y = f(x) that would result in the graph of y = f(-x) – 7.
O a reflection in the y-axis followed by a translation down by 7 units
O a reflection in the y-axis followed by a translation up by 7 units
O a reflection in the x-axis followed by a translation down by 7 units
O a reflection in the x-axis followed by a translation up by 7 units

Answers

Answer:

a reflection in the y-axis followed by a translation down by 7 units

Step-by-step explanation:

just answered it

The transformations of the graph is a reflection in the x-axis followed by a translation down by 7 units.

Option (C) is correct.

It is required to choose  the transformations of the graph.

What are transformations?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given:

We have a given a graph of y = f(-x) – 7.

The transformations in order are the following:

Reflection over the x-axis.

Horizontal translation of 7 units to the left.

Therefore, the transformations of the graph is a reflection in the x-axis followed by a translation down by 7 units.

Learn more about transformations here:

brainly.com/question/17361069

#SPJ2

Evaluate: 5c + 7d - 5 for c = -2 and d=3

Answers

5c+7d-5

c=-2 so 5x is 5x-2.

5x-2=-10

d=3 so 7d is 7x3.

7x3=21

-10+21-5

-10+21=11

11-5=6

The answer is 6

hope it helps!

Answer:

Step-by-step explanation:

5(-2) + 7(3) - 5

-10 + 21 - 5

11 - 5 = 6

(-8)-6+(-5) help ima stuck

Answers

Answer: -19

Step-by-step explanation:

-8 -6 = -14

-14 - 5 = -19

Answer:

-19

Step-by-step explanation:

(-8)-6+(-5)

-14+(-5)

-19

1.
Social Security and Medicare taxes are amounts employees can opt in or out of
paying each pay period.
O True
O False

Answers

It’s false. These payments are mandated
*false



________________

how do i do this? -X= 8​

Answers

Answer:

x = -8​

Step-by-step explanation:

-X= 8​

Multiply by -1

-X*-1= 8*-1

x = -8​

Answer:

x = -8

Step-by-step explanation:

Multiply both side of the equation by -1

-x(-1) = 8(-1)

On the x side, the negatives cancel each other out, making x positive.

On the 8 side, the negative makes the 8 into -8.

x = -8

(essentially, switch the negative/positive signs)

a to the power of -8

[tex] {a}^{ - 8} [/tex]

Answers

Answer:

a -8 power

Step-by-step explanation:

yes you do that the same way

if 9/24 = 3/x then x is

Answers

Answer:

8

Step-by-step explanation:

Answer: 3/8

Step-by-step explanation: 9÷3=3 then 24÷3=8

The perimeter of a triangle is 137 cm. If the three sides of the triangle are (x + 7) cm, (2x – 5) cm, and (3x – 3) cm, what is the length of each side?

Answers

Answer:30,41,66

Step-by-step explanation:

(X+7)+(2x-5)+(3x-3)=137

Solve for x

X=23 cm

Sides are 23+7=30

2*23-5=41

3*23-3=66

A cyclist rode 3.75 miles in 0.3 hours. How fast was she going in miles per hour? Round your answer to the tenths (first) decimal place.

Answers

Answer:

12.5 miles per hour

Step-by-step explanation:

The speed is the distance divided by time.

3.75 miles/0.3 hours= 12.5 miles per hour

Answer:

12.5 miles per hour

Step-by-step explanation:

To answer this question you have to make sure that the hours (denominator) equals to 1. To do this, divide 3.75 by 0.3, thus making the 0.3 hours into 1 hour. This results in 12.5 miles per hour, the correct answer. Hope this helped!

APEX PRE CALC: For a ____ function, the domain is broken into pieces, with a different rule defining the function for each piece.

Answers

Answer:

Piecewise

Step-by-step explanation:

For a piecewise function, the domain is broken into pieces, with a different rule defining the function for each piece.

Piecewise functions are usually a function that equals two or more equations depending on the x or the domain.

Google piecewise functions to see examples.

I hope this helps!

Answer: Piecewise

Step-by-step explanation:

There will be breaks and jumps in the curve, particularly when a value would undefined. So the solution curve looks like disconnected pieces.

23
Justin started the race at 3:25 p.m. Justin finished the race at 8:50 p.m. How long did it take Justin to run the race?
OA. 5 hours and 25 minutes
B. 5 hours and 35 minutes
OC. 3 hours and 25 minutes
OD. 6 hours and 25 minutes

Answers

Answer - A

Explanation - 8 - 3 = 5 50 - 25 = 25

Answer:

A. 5 hours and 25 minutes

Step-by-step explanation:

8 - 3 = 5

50 - 25 = 25

8:50 pm - 3:25 pm = 5:25

A. 5 hours and 25 minutes

17=-5r what is the equation answer

Answers

r=
ln(5)
−πi+ln(17)

If 1/5 of the money in a cash box is 30 dollars, how much money is in the cash box?

Answers

Answer:

Money in the cash box is $150

Step-by-step explanation:

Let

x = money in the cash box

1/5 of the money in a cash box is 30 dollars

1/5 of x = $30

1/5 * x = 30

1/5x = 30

Divide both sides by 1/5

x = 30 ÷ 1/5

= 30 × 5/1

= 150/1

x = $150

Money in the cash box is $150

am i right with the question and if i m can you explain further i think i awser is y=10x

Answers

You are correct.

C is the constant, which is also called the slope.

Slope = change in y over the change in x:

Slope = 160-30 / 16-3 = 130/13 = 10

The equation would be y = 10x

25 POINTS PLS
The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. Show your work. Convert your answer into scientific notation if necessary.
(Saturn is 1,429,400,028 kilometers away from the sun, and Earth is 149,599,951 kilometers away from the sun)

Answers

i got about 56393 hours
Other Questions
The figures below are rectangles. Which polynomial represents the area of the shaded region? HAVE ALL MY POINTS but answer truthfully cause i have the answer choices The scatterplot shows the number of guests who visited a hotel pool and the temperature on those days. Estimate the location of the line of best fit. About how many guests will visit the pool when the temperature is 85F? What is 4/8 as a sum of fractions two different ways How can beauty exist in the midst of brutality? Ricardo is _____. panameo peruano peruana panamea Represent the following expression using an exponent. 11 11 11 11 A.4 11 B.11 4 C.11 11 D.1 4 Btw these are exponents Total contribution margin is an important assumption in multiproduct CVP analysis.A. TrueB. False both questions pls !! Which point of view would be best if an author wants to develop a characters inner thoughts who make up the whole story? A. first personB. third person limitedc. third person omniscient d. second person HELP What is the sum of 1000x and 2000x french army officer that came to help the americans defeat the british Why did the French Revolution become so violent? The Spanish alphabet has some letters that are not part of the English alphabet. True Or False 1. Which statement best describes the main conflict in the story? A Maya needs permission to go to a school dance. B Maya's brother is being bullied at school. C Maya's family is struggling to earn enough money to live. D Maya has to do her mother's job when her mother is injured. Read the sentences from Barrio Boy by Ernesto Galarza. I was left alone in the room for M-E-N. I examined it with great carethe smooth enamel bowl with water in the bottom, the wooden lid with a large hole that looked like a horse collar, the small brown box up near the ceiling, the chain hanging from it. Pressed for time, I finally decided it was safe enough to try. How does Ernesto feel? worried that he is in the wrong room unsure about the new experience confused about the use of the chain troubled by the size of the hole The company reported net sales of $6,250 million. Assume that there were no noncash sales. Operating costs (excluding depreciation and amortization) were 65% of the companys total revenues. Depreciation and amortization charges were 5% of total sales. Interest charges were 15% of earnings before interest and taxes (EBIT) with a tax rate of 40%.Net income is the money that the business is left with after paying operating expenses, interest expense, and taxes. However, because some revenues and expense are not cash transactions, net cash flow indicates the true cash flow situation of the company. The company's current cash flow is:_________ a. $573 million b. $379 million c. $761 million d. $955 million what is 2/4 as a % plz hurry important If 5y + 2 = 8/3, what is the value of 5y - 6? PLEASE HELP, THANK YOU! :) There are nine justices in the Supreme Court, including a chief justice. Totry and keep the Supreme Court out of party politics, justices arenominated by the president and confirmed by the Senate. In addition,justices do not serve limited terms of two, four, or six years like themembers of the legislative and executive branches do. They get to serveuntil they retire or die. And if justices do something illegal, the Senate hasthe power to impeach them. It's all about the checks and balances. Thefederal judges that serve in district courts are also appointed instead ofelectedBased on this passage, Supreme Court JusticesAare not elected.Bserve for 5 years.are allowed to seek reelection.Dmust campaign every 7 years.