Using the discriminant, determine the number of real solutions.
2x^2+7x-15=0

- no real solutions
-one real solution
-two real solutions

I assume the underlined digit tells you to round off to that place. In this case, the 3 is in the tenths place, so you need to round off 2.348 to the nearest tenth.

2.348

The 3 is in the tenths place. If you are asked to round off to the nearest tenth, then first, drop the digits to the right of the 3. Now you have 2.3, but we need to look at the next digit in the original number. The original number was 2.348, with a 4 to the right of the 3. Since 4 is less than 5, you just keep the rounded number as 2.3.

Answer: 2.3

Answer.

The Answer is C.

G = George's age

G = 3(P+1) - 3

G = 3P + 3 - 3

G = 3P

The solution for 4+√5x+66=x+10 is x=3 (option 2)

Given equation: 4+sqrt5x+66=x+10

Subtract 4 from both sides;

[tex]\sqrt(5x+66) = x+6[/tex]

Square both sides:

[tex]5x+66 = (x+6)^2[/tex]

Simplify further, we get:

[tex]5x + 66 = x^2 + 12x + 36[/tex]

[tex]x^2 + 12x - 5x + 36 - 66 = 0[/tex]

[tex]x^2 + 7x - 30 = 0[/tex]

Factor the equation to get:

[tex](x + 10)(x - 3) = 0[/tex]

[tex]x - 3 = 0[/tex]

[tex]x = 3[/tex]

Therefore, the solution of 4+√5x+66=x+10 is x=3 (option 2)

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Complete question:

What is the solution of 4+√5x+66=x+10?

1.x=-10

2.x=3

3.x=-10 or x=3

4.no solution

Hey there!!

Let's take the number as ' n '

Three times the difference of a four and number.

... 3 ( 4 - n )

Eight more than the expression.

... 8 + 3 ( 4 - n )

' n ' is given as ' 3 '.

Plugging in :

... 8 + 3 ( 4 - 3 )

... 8 + 3 ( 1 )

... 8 + 3

... 11

The required answer is 11.

Hope my answer helps!!  

To find the sum of 7+9 using the make a ten strategy, start with the larger number, add 1 to it to make it 10, subtract 1 from the other number, and then add the resulting numbers together.

So, the sum of 7 + 9 is 16.

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a) See attached diagram.

b) The slope can be obtained by the formula:

[tex]m_i=\dfrac{y_{i+1}-y_i}{x_{i+1}-x_i}.[/tex]

Now

The greatest increases were from 2012 till 2013 years and the least increases were from 2007 till 2008 years.

c) Using graphing calculator, the equation of the line (black line in the diagram) is

[tex]y\approx 0.71x^2-5.58x+23.76.[/tex]

d) Since the slopes are different, this line is not straight. From the given data you can predict that the "best fit" is quadratic function.

e) In 2017, find

[tex]y(17)\approx 0.71\cdot 17^2-5.58\cdot 17+23.76\approx 134.09[/tex]

Answer:

Step-by-step explanation:

1/3÷3/8

Multiply by reciprocal

1/ 3÷ 8/3

Now multiply across

1×8/3×3

Solve

8/9

Your answer is b .

REVIEW:

Numerator is the number on the top in a fraction. Denominator is the number at the bottom of a fraction.

[tex]\frac{1}{2} \rightarrow \frac{numerator}{denominator}[/tex]

Here is your equation:

[tex]\frac{1}{3} \div \frac{3}{8}[/tex]

When dividing fractions, you have to Keep, Change, then Flip.

[tex]Keep\ \frac{1}{3} \\ Change\ \div\ to\ \times \\ Flip\ \frac{3}{8} \rightarrow \frac{8}{3}[/tex]

Here is your new equation:

[tex]\frac{1}{3} \times \frac{8}{3}[/tex]

Multiply the numerators and denominators together:

[tex]\frac{1}{3} \times \frac{8}{3} = \frac{8}{9}[/tex]

Your answer is A. [tex]\frac{8}{9}[/tex]

If you have any questions, feel free to ask! :)

Minimum value is when x = 6 and y = -7

Answer

C) (6 , -7)

The minimum would be the lowest point of the line.

The lowest point in the picture is in the lower right hand corner which is located at (6,-7)

Yes square meters is a type of surface area.

Note that you are estimating.

Estimate each to the nearest whole number

Note that when rounding, look at the digit to the right of the one you want to round to. If the digit is 5 or greater round up, if 4 and lower, round down.

1.537 rounded to the nearest whole number is 2

2 x 242 = 484

484 is your answer

hope this helps

Answer: The answer to this question is 38 in.

Step-by-step explanation: All we have to do here is to add all the sides and here's the formula P=s+s+s where s stands for side. We substitute in the values P= 14+8=16 and the result is P= 38 in. Hope this helps!

88-55=33

33 second handicap

Joe must give Jake a 33 second catch up time period

Answer:

1 7/50

Step-by-step explanation:

2 6/25= 2 12/50

1 1/10= 1 5/50

2 12/50-1 5/50= 1 7/50

Step by Step:

[tex]2\frac{6}{25}  - 1\frac{1}{10}[/tex]

Subratact whole numbers 2-1: 1

Combine fractions [tex]\frac{6}{25} - \frac{1}{10}[/tex]: [tex]\frac{7}{50}[/tex]

1 + /frac{7}{50}

Answer:

A = 1/frac{7}{50}

Notes:

N/A

Answer:

22/100 divided by 2 equals 11/50

Step-by-step explanation:

22/100=11/50

22/100=22%

22/100=0.22

The number of the bills will be 100 to equate to $100 bills.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a $1 bills are the same as one $100 bill. the number of the bills will be calculated as:-

Number = 100 x 1 = 100

Therefore, the number of bills will be 100 to equate to $100 bills.

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x times 3 plus 2: answer

Convert 12 pounds to ounces which is 192 ounces.

Divide the price by the ounces. That would get $0.09765625 rounded to $0.10 per ounce.

The unit price per ounce will be equal to $0.10.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The unit price per ounce will be calculated as:-

1 pound = 16 ounces

12 pounds = 12  x  16  =  192

Cost of 192 ounces = $18

Cost of unit ounce = 18  /  192

Cost of unit ounce  =  0.095156 ≅ $0.10

Therefore the unit price per ounce will be equal to $0.10.

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Keiko has a total of $5200

x is the amount of money in larger account

y is the amount of money in smaller account

x - y = $900

and x + y = $5200

This creates two simultaneous equations:

x - y = $900 ... (i)

x + y = $5200 ... (ii)

Adding (i) and (ii) :

2x = $6100 , x = $3050

y = x - $900 = $3050 - $900 = $2150

The amount of money in larger account (x) = $3050

The amount of money in smaller account (y) = $2150

To solve the problem, we set up and solved a system of equations using the given information. We find that Keiko has invested $2150 in the smaller account and $3050 in the larger account.

Keiko has $5200 that she invested in two accounts. We're told the larger account is $900 more than the smaller one. Since we let x represent the amount of money in the larger account and y represent the amount of money in the smaller account, we can establish the following system of equations:

Substituting the second equation into the first, we get:

Solving for y from this equation, we obtain y = $2150, representing the smaller account. Substituting y into the original second equation, we find x = $3050, which is the larger account. Hence Keiko has $2150 in the smaller account and $3050 in the larger account.

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To find a reasonable amount of tile for Mandana to order, we need to calculate 15% and 20% of the area of her kitchen floor and add that to the original area. Therefore, options B and D can be considered as reasonable amounts of tile for Mandana to order.

To find a reasonable amount of tile for Mandana to order, we need to calculate 15% and 20% of the area of her kitchen floor and add that to the original area.

15% of 119.9 square feet is 0.15 * 119.9 = 17.985 (approximately 18 square feet).

20% of 119.9 square feet is 0.20 * 119.9 = 23.98 (approximately 24 square feet).

Adding the additional tile to the original area, the reasonable amounts of tile for Mandana to order would be:

Therefore, both options B and D, which are 140 and 145 square feet respectively, can be considered as reasonable amounts of tile for Mandana to order.

Final answer:

To find a reasonable amount of tile for Mandana to order, calculate the range of 15% to 20% extra of the materials by multiplying the area of the floor by each percentage. Add the extra amount to the area of the floor to get the reasonable amount of tile to order.

Explanation:

To find a reasonable amount of tile for Mandana to order, we need to calculate the range of 15% to 20% extra of the materials she needs. First, we find the extra amount by multiplying the area of the floor by each percentage. The extra amount ranges from 17.985 to 23.98 square feet. Finally, we add the extra amount to the area of the floor to get the reasonable amount of tile to order, which ranges from 137.985 to 143.98 square feet. Therefore, option C (137 square feet) is a reasonable amount of tile for Mandana to order.

Answer: [tex]\frac{6}{336}[/tex]

Step-by-step explanation:

Given: The Number of different prizes = 3

The number of people entered the drawing room = 8

The number of ways to select for 3 prizes, such that  you win first prize and your mom wins second prize = You × Mom × Rest of people

[tex]1\times1\times(8-2)=1\times6=6[/tex]

The total number of ways to award the prizes = 336

Therefore, the probability that you win first prize and your mom wins second prize=[tex]\frac{6}{336}[/tex]

The construction crew took [tex]3\frac{3}{8}[/tex] days to build [tex]4\frac{1}{2}[/tex] miles of road.

Therefore, in 1 day, the crew built [tex]\frac{4\frac{1}{2} }{3\frac{3}{8} }[/tex] miles of road

= [tex]\frac{\frac{9}{2} }{\frac{27}{8} } =\frac{9}{2}times\frac{8}{27}=\frac{4}{3}[/tex] miles of road

Thus, the required rate is [tex]\frac{4}{3}[/tex] miles or [tex]1\frac{1}{3}[/tex] miles per day.

Answer:

The equation will be:   [tex]y=4x[/tex]

Step-by-step explanation:

Side lengths[tex](x)[/tex] ⇒    4.5       8.5        10.25       13.75

Perimeter [tex](y)[/tex]    ⇒     18         34            41            55

First we will pick any two ordered pairs in form of point like [tex](x,y)[/tex]. So, here [tex](x_{1}, y_{1})= (4.5, 18)[/tex] and [tex](x_{2}, y_{2})= (8.5, 34)[/tex]

Now, the slope will be:  [tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}= \frac{34-18}{8.5-4.5}=\frac{16}{4}=4[/tex]

So, the equation using the point-slope form will be..............

[tex]y-y_{1}=m(x-x_{1})\\ \\ y-18=4(x-4.5)\\ \\ y-18=4x-18\\ \\ y=4x[/tex]

Thus, the equation that represents the relationship between the side length[tex](x)[/tex] and the perimeter[tex](y)[/tex] will be:  [tex]y=4x[/tex]

Answer:

y=4x

Step-by-step explanation:

94*27=2538

90*20+4*7+20*4+90*7=2538

1800+28+80+630=2538

2538=2538

Answer:

C:  {4, -12/5}

Step-by-step explanation:

Let's actually solve |-4+5x|=16:  Divide all 3 terms by 5.  Then:  |-4/5 + x| = 16/5.

If we were to graph this, the center (on a number line) would be at -4/5.  Now if we add 16/5 to -4/5, we get 12/5, the larger solution; if we subtract 16/5 from -4/5, we get -20/5, the smaller solution, equivalent to -4.  Correct answer choice is C.

This corresponds to option C.

The solution set for the absolute value equation |-4+5x|=16 can be found by considering both the positive and negative scenarios since an absolute value represents the distance a number is from zero on the number line, without regards to direction (positive or negative).

To find the solution set, we need to split the absolute value equation into two possible linear equations:

Solving the first equation gives us:

Solving the second equation gives us:

However, x = 2.4 does not make sense in the context of our original problem, because we are looking for the negative solution when we consider the equation -4 + 5x = -16. The correct step is:

Therefore, the correct solution set is {4, -12/5}, which corresponds to option C.

Final answer:

The sequence 5-8-14-23-55 does not follow a clear linear or geometric pattern rule based on the differences between its terms. A simple pattern is not evident, and more context is required to determine if there's a complex rule or an error with the given numbers.

Explanation:

The sequence provided, 5-8-14-23-55, does not have a clear linear or geometric progression that is immediately evident. To determine the pattern rule, we need to look at the differences between successive terms:

8 - 5 = 3

14 - 8 = 6

23 - 14 = 9

55 - 23 = 32

The differences between the first few terms are incremental by 3, but the last increment does not follow this progression. Therefore, there is no single common pattern rule applicable to the entire sequence given. If more context or additional numbers in the sequence are provided, it may be possible to discern a more complex rule or recognize if the last term is an error.

he subtracted both numbers and got 49