which number is a prime number 87,51,31,39

Answer:

https://cougar.collegiate-va.org/cfoster/Mrs._Fosters_Classes/Algebra_1_files/0437_001.pdf

Step-by-step explanation: go to the 3rd page of link

x^2+6x-55=0

6²-4·6·(-55)=36+220=256

C)256

Answer:

C) 256

Step-by-step explanation:

the quadratic formula: x = (-b +- sqrt (b^2 - 4ac)) / 2a

a is the coficient of x^2: a=1

b is the coeficient of x: b = 6

c is the independent term: c= -55

introducing this values to the quadratic formula we have :

x= ( -6 +- sqrt (6^2 - 4(1)(-55)) ) /2(1)

in the radical sign we have:

6^2 - 4(1)(-55)

=36 + 220

=256

Answer:

speed = [tex]\frac{m}{t}[/tex]

Step-by-step explanation:

using the formula that relates distance/ speed/ time

distance = speed × time

hence speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{m}{t}[/tex]

Final answer:

The average speed is calculated by dividing the total distance traveled by the total time taken. In algebraic form for a car traveling m miles in t hours, the average speed is V_avg = m / t.

Explanation:

To express the average speed algebraically, we can use the formula for average speed which is the distance traveled divided by the time of travel. In algebraic terms, if a car travels m miles in t hours, the average speed would be represented as:

Vavg = m / t

Here, Vavg represents the average speed, m is the total distance in miles, and t is the time taken in hours. To demonstrate this with an example, if a car travels 150 kilometers in 3.2 hours, its average speed is calculated by dividing 150 km by 3.2 h, which gives an average speed of 47 km/h.

Final answer:

The nth term of the geometric sequence 5, 10, 20, 40 is given by the formula T_n = 5 × 2ⁿ⁻¹.

Explanation:

To write an equation for the nth term of the geometric sequence 5, 10, 20, 40, we need to determine the first term (a) and the common ratio (r). In this sequence, the first term a=5 and the common ratio r can be found by dividing the second term by the first term (r=10/5=2).

The formula for the nth term (Tn) of a geometric sequence is given by Tn = a × rⁿ⁻¹.

So, for the given sequence, the nth term can be expressed as:

Tn = 5 × 2ⁿ⁻¹.

Answer:

10 is your answer

Step-by-step explanation:

Note that the side given to us has a measurement of 5 for one of the legs of the isosceles.

This means that the 1 side on the 30-60-90 triangle has a measurement of 5.

Now, note the measurements of the triangle sides for a 30-60-90 triangle. They measure at: 1 , √3 , 2.

the side 1 is given to us, at 5. You are solving for the hypothenuse (2). Multiply 2 to the side 1

5 * 2 = 10

10 is your answer

~

Answer:

y≤-8

Step-by-step explanation:

This sign represent y is no more than/is less than or equal to.

I hope this helps!=)

The number y is no more than -8 written as an inequality can be written as; y ≤ 8.

According to the question;

The inequality form of the sentence, mean that the number y can only assume maximum value of -8.

Therefore; y ≤ 8

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Answer:

-5.25, -3.5, -1.75, 0, 1.75

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

3/2 y - 3 + 5/3 z

We know the values for y (y=6) and z( z=3), so we can substitute them into the expression

3/2 * (6) - 3 + 5/3 * (3)

Multiply the terms

18/2 - 3 + 15/3

Simplify the fractions

9 - 3 + 5

Simplfiy

6 + 5

11

Answer:

15.215 mm

Step-by-step explanation:

7.2+ 2.14 +5.875= 15.215

Answer:

hello your answer would be 15.215 mm

Step-by-step explanation:

Answer:

The first option .

Step-by-step explanation:

m must not be zero

Answer:

a) m ≠ 0

Step-by-step explanation:

Given: The function y = mx + b has an inverse function.

The given function is the equation of a line in slope-intercept form.

m is the slope and y-intercept is b.

Given that the function has an inverse function, therefore, the slope must not be equal to zero.

What if the slope is zero, if the slope is zero, then there will not be an inverse function.

Therefore, the answer is m≠ 0.

To find out how much Jackson will pay for the gold chain, you calculate the discount price by subtracting 65% of the original price from the original price, then apply an 8.50% sales tax to the discounted price, and add it to the discounted price to get the total cost. Jackson will pay a total of $301.90 for the gold chain.

Jackson is planning to buy a gold chain with an original price of $795 which is advertised at a 65% discount. The formula to calculate the discount price is:

First, we convert 65% to a decimal, which is 0.65:

Then, calculate the discount:

So after the discount, the price becomes:

On this discounted price, a sales tax of 8.50% is applied. Converting that to decimal will be 0.085 and now we multiply it with the discounted price:

Now, find the amount of sales tax:

Round the sales tax to the nearest cent:

Finally, add the original discount price and the sales tax:

Total Price:

Jackson will pay $301.90 in total for the gold chain after applying the discount and sales tax.

Answer:

C  it has the largest rate of change

Step-by-step explanation:

To find the greatest rate of change, we need the largest slope

In equation form y =mx +b where y is the slope

A. 6x – 7y = 21

    Solve for y

 Subtract 6x from each side

-7y = -6x+21

Divide by -7

y = 6/7x + 21/7

The slope is 6/7

B. y = 2x – 2

The slope is 2

C. x  2 3  4

   y  7      13      19

slope = (y2-y1)/(x2-x1)

       = (19-7)/(4-2)

        = 12/2

        =6

D. A linear function that goes through point 1, 2 and point 0, negative 1

 (1,2)  (0,-1)

slope = (y2-y1)/(x2-x1)

       = (-1-2)/(0-1)

        = -3/-1

        =3

Answer:

you go to zero on the origin and you rise once and run twice.

Step-by-step explanation:

so start at the origin and go up one and over to the right twice because it is positive and you go to the left if the slope is a negative.

Answer:

Since it is a right angle, you know that the angle measures 90 degrees. Since one acute angle measures 5x (times) the other, you would set it up in equation format as 5x + x = 90.

5x + x = 6x, so

6x = 90

you divide both both sides by 6 (90/6) = 15

To find the measure of the angle that is 5x (times) the other, you do 5(15) = 75 degrees and the other angle is 15 degrees, which adds up to 90 degrees.

Mark me brainiest

Answer:

Step-by-step explanation:

im gonna go out on a limb and say (B)

The system of equations x+y=154 and x+4y=10, can be solved by substitution method giving the solution x = 202 and y = -48.

This question is similar to other problems in algebra where you are given a system of equations. In this case, you have the equations x+y=154 and x+4y=10. We will solve this problem using substitution.

First, let's isolate x in the first equation: x = 154 - y.

Next, we will substitute (154-y) for x in the second equation: (154 - y) + 4y = 10. Simplifying this equation, we get 3y = -144, so y = -48.

Substitute back y = -48 into the first equation, we have x + (-48) = 154, which means x = 202.

So, the solution of the system is: x = 202, y = -48.

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Answer:

151

Step-by-step explanation:

Let x = the smaller integer and y = the larger integer.

We have two conditions:

(1)   x + 1 = y

(2)       y =  2x - 149      Substitute (1) into (2)

    x + 1 = 2x - 149        Add 150 to each side

x + 150 = 2x                 Subtract x from each side

        x = 150                Substitute into (1)

150 +1 = y

       y = 151

The larger integer is 151.

Check:

(1) 150 + 1 = 151

          151 = 151

(2)       151 = 2×150 -149

          151 = 300 -149

          151 = 151

Final answer:

The larger of the two consecutive integers is 151, determined by setting up an algebraic equation based on the given condition and solving for the smaller integer first.

Explanation:

The student is asked to find the larger of two consecutive integers given that the larger is 149 less than twice the smaller. Let's denote the smaller integer as n. Thus, the larger integer would be n + 1. According to the problem, we have the equation (2n) - 149 = n + 1, which simplifies to n = 150, making the larger integer 151.

Answer:

Step-by-step explanation:

H

[tex]6x^2+3x+1=0\\a=6,b=3,c=1\\(-b+-\sqrt{b^2-4ac} )/2a\\\\\frac{-3+-\sqrt{-15} }{12} \\\\[/tex]

The roots are:

[tex]\frac{-3+-i\sqrt{15} }{12}[/tex]

Answer:

it is not a my dude it is c

Step-by-step explanation:

Answer:

[tex]\frac{n^4}{4}[/tex]

or

[tex]\frac{1}{4} n^4[/tex]

Step-by-step explanation:

The given expression is

[tex]\frac{1}{4n^{-4}}[/tex]

This is an exponential expression with a negative index in the denominator.

We can rewrite the expression so that it will be,

[tex]=\frac{1}{4}\times \frac{1}{n^{-4}}[/tex]

We now apply this property of indices. A negative index in the denominator becomes a positive index in the numerator.

[tex]\frac{1}{a^{-m}} =a^{m}[/tex]

When we apply this we get,

[tex]=\frac{1}{4}\times n^{4}[/tex]

We then simplify to obtain,

[tex]=\frac{1}{4}n^{4}[/tex]

Final answer:

To rewrite an expression without a negative exponent, take the reciprocal of the base with the positive exponent. Division of exponentials requires dividing coefficients and subtracting exponents of the same base. Eliminate negative exponents and simplify the expression to get the final result.

Explanation:

To rewrite an expression without a negative exponent, you simply take the reciprocal of the base and use the positive exponent. For example, seeking to rewrite x-n, you would transform it into 1/xn, moving the base x to the denominator and making the exponent positive.

Division of exponentials involves simplifying expressions by dividing the coefficients and subtracting exponents when the bases are the same. For instance, for expressions like am / an, the result would be am-n. In case there are numerical coefficients in front, divide those numbers directly. After simplifying, always check whether the answer makes sense and is in the simplest form.

Working with negative exponents, it's crucial to eliminate terms that result in a more straightforward expression and confirm that no negative exponents remain in the final answer, ensuring it is in its acceptable form.

Answer:

The $2.85 jar is the better buy.

Step-by-step explanation:

Start by finding the two separate unit rates.  Then compare them:

$2.85

---------- = $0.36/oz

8 oz

$5.65.

----------- = $0.38/oz

15 oz

The $2.85 jar is the better buy, as its unit cost is lower.

Final answer:

The 8-ounce jar of salsa at $0.35625 per ounce is the better buy compared to the 15-ounce jar at $0.37667 per ounce.

Explanation:

The student wants to determine which jar of salsa provides the best value in terms of cost per ounce. To find the unit rate, we need to divide the price of each jar by the number of ounces it contains.

For the 8-ounce jar of salsa:

Unit rate = $2.85 / 8 oz = $0.35625 per ounce

For the 15-ounce jar of salsa:

Unit rate = $5.65 / 15 oz = $0.37667 per ounce

Comparing the unit rates, the 8-ounce jar of salsa has a lower unit rate, making it the better buy.

Answer:

14 points per game

Step-by-step explanation:

We want to know the number of point per game, so we will take the number of points and divide by the number of games

42 points/ 3 games

14 points per game

Answer:

YZ

Step-by-step explanation:

Parallel lines never touch. Line yz would never touch line fg.

FG is parallel to ZY

Parallel lines are two or more straight lines in a plane that never intersect. They have the same slope and will continue indefinitely without ever crossing each other. In geometry, parallel lines are denoted by double vertical bars (||).

From the figure

Since FG bisects lines XZ and XY of the triangle XYZ

FGEZ forms a parallelogram

In a parallelogram opposite sides are equal and parallel

Therefore,

FG is parallel to ZE or ZY

Properties of parallelograms include opposite sides being equal and parallel, opposite angles being equal, consecutive angles being supplementary, and diagonals bisecting each other.

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Using the Pythagorean theorem we can find the height of the triangle:

height = √(14^2 - 12^2)

height = √(196 - 144)

height = √52

height = 7.2

The answer would be 7.2 centimeters.

C. 7.2 centimeters

a 2 + b 2 = c 2. This is known as Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if 2 sides of the right triangle are known, the Pythagorean theorem could be used to determine the length of the 3rd side. Referencing the above diagram, if. a = 3 and b = 4

Using the Pythagorean theorem we can find the height of the triangle:

height = √(14^2 - 12^2)

height = √(196 - 144)

height = √52

height = 7.2

The answer would be 7.2 centimeters.

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Answer:

1.  75 kilometers per hour

2.  5.4 kilometers

3.  I expect the storm to arrive 2.3 hours.

4.  Acceleration = 8.75 [tex]m/s^{2}[/tex]

5.  200 meters

6.  The truck will take 7.5 seconds to stop

7.  The object travels 150 meters within 10 seconds

Step-by-step explanation:

1.  Average speed = [tex]\frac{distance}{time}[/tex]

[tex]= \frac{375}{5}[/tex]

= 75 kilometers per hour

2.  Distance = speed × time

Time taken = 15 minutes

= 15 × 60

= 900 seconds

Distance = 6 × 900

= 5400 meters

= 5400/1000

= 5.4 kilometers

So, the boat traveled 5.4 kilometers.

3.  Time = [tex]\frac{distance}{speed}[/tex]

= [tex]\frac{80}{35}[/tex]

= 2.286

So, I expect the storm to arrive in 2.3 hours.

4.  Acceleration = Rate of change of velocity

= [tex]\frac{50-15}{4}[/tex]

= [tex]\frac{35}{4}[/tex]

= 8.75 [tex]m/s^{2}[/tex]

5.  Distance = speed × time

= 50 × 4

= 200 meters

6.  Time = [tex]\frac{velocity}{acceleration}[/tex]

= [tex]\frac{15}{2}[/tex]

= 7.5 seconds

The truck will take 7.5 seconds to stop

7.  Distance = Velocity × Time

= 15 × 10

= 150 meters

Hence, the object travels 150 meters within 10 seconds.

Answer:

Number 6&8 are wrong

Number 6. is 130 m

Number 8. is 300 meters in 10 seconds

Step-by-step explanation:

Answer:

A triangle can have at most angles totalling 180 degrees.

Two angles 85 + 128 total 213 degrees so the triangle cannot exist.

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

The sum of the three angles in a triangle adds up to 180 degrees.  We know two of the angles, 85 and 128.  We are looking for the third, x.

x + 85+128 = 180

Add the like terms

x +213 = 180

This is an impossible problem

x would have to be negative

Answer:

the most accurate answer would be option 3 relatively speaking

Step-by-step explanation:

Answer:

B) 30% of what number is 7.

Step-by-step explanation:

The given equation is 0.3x = 7

Here "x" is a variable.

0.3x = 7 means 0.3 times of x equals 7.

The variable x is assigned for an unknown number and 0.3 = [tex]\frac{30}{100}[/tex] = 30 %

0.3x = 7

30% of x is 7

Which means 30% of the number(x) is 7.

Therefore, the answer B) 30% of what number is 7.

Note: Variables always assigned to find the unknown numbers.

Step-by-step explanation:

The equation 0.5s+ 9.99=30 describes the situation.

9.99 is the fixed amount

0.5 is the cost for each song download

30 is the maximum amount spend for a month

Here 's' represents the number of songs download

0.5s+ 9.99=30 means

0.5 times the number of songs plus the fixed cost 9.99 should be equal to 30 dollars.

The solution to this equation is s=40.02.

s= 40.02  means 40 songs can be downloaded as per the budget

Answer:

x = -7

Step-by-step explanation:

-3 (5x - 2) - x - 2 = 116

-15x + 6 - x - 2 = 116

-16x + 4 = 116

-16x + 4 - 4 = 116 - 4

-16x = 112

-x = 7

x = -7

Please mark brainiest would help alot :3