Step 3: Apply the slope formula m1-( 5)Need help !!!

1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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Answer:

8/15

Step-by-step explanation:

The problem states that Jada has a vegetable garden made up of 2/3 tomato plants, of which 4/5 are beefsteak tomatoes. Therefore, to determine the portion of the garden that is made up of beefsteak tomatoes, both fractions must be unified in the same common divisor.

Thus, since the common least multiple of 3 and 5 is 15 (3 x 5), the fraction 2/3 can be calculated as 10/15. In turn, of those 10, 4/5 are beefsteak tomatoes, which can be calculated as 8/10, since the common lower multiple of 5 and 10 is exactly 10.

Therefore, 8/15 of Jada's vegetable garden are beefsteak tomatoes.

Answer:

8/15

Step-by-step explanation:

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

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

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Answer:

6n + 7 = 7n

Step-by-step explanation:

Number of students involved in sports = 5n + 7

Number of students involved in student council = n

Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7

Number of students involved in band = 3n - 2

Number of students involved in drama club = 2(2n + 1)

Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n

Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:

6n + 7 = 7n

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer: The answer is A. Infinite solutions

Answer:

−3/2

Step-by-step explanation:

Hope this helps

:D

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.

Step-by-step explanation: Formula and Solving it

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

He spent (x - 2.50)/2 on notebook and paper.

So the total amount he spent = 2.50 + (x -2.50)/2

Amount left when he got home =$ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x -2.50)/2 ) = 5

=> x - 2.50 -x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

Step-by-step explanation:

\( \bf \underline{Given-} \\ \)

\( \sf{Mother \: bought \: 4 \frac{1}{3} \: kilograms \: of \: bananas \: and } \\ \sf{ 4 \frac{4}{5} \: kilograms \: of \: oranges \: for \: her \: children.} \\ \)

\( \bf \underline{To \: find-} \\ \)

\( \sf \: Total\:kilograms \: of \: fruits \: did \: she \: buy \: in \: all \: ? \\ \)

\( \bf \underline{Solution-} \\ \)

\( \sf{Total \: weight \: of \: fruits = \bigg(4 \frac{1}{3} + 4 \frac{4}{5} \bigg)Kg} \\ \)

\( \sf{ = \bigg(\frac{13}{3} + \frac{80}{5} \bigg)Kg} \\ \)

Take LCM of 3 & 5 is 15.

\( \sf{ = \bigg( \frac{65 + 240}{15} \bigg)Kg} \\ \)

\( \sf{ = \frac{305}{15} \: Kg} \\ \)

\( \sf{ =2 \frac{5}{15} \: Kg} \\ \)

Answer:

Total money: $348.26

Step-by-step explanation:

Paige: $49.75

Nevaeh: 2.5*$49.75

Naomi: 3.5*$49.75

2.5*49.75 = 124.38

3.5*49.75 = 174.13

(I rounded the cents up.)

124.38

174.13

+49.75

$348.26

Hope this helps!! Have an awesome day C:

Answer:

68

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:68

Step-by-step explanation:

5+9*7=68

Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.

To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.

The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.

Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).

Plugging these values into the formula, we get:

A = £3700(1 + 0.004167/12)^(12*2.917)

A ≈ £3947.46

The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.

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The interpretation of the systems of simultaneous equations are;

1) The system is consistent and independent.

2) The system is inconsistent.

3) The system is inconsistent.

1) The first system of simultaneous equation is re-expressed;

2x - y = 3   -----(1)

2x + y = 1    ------(2)

Add eq 1 to eq 2 to get;

4x  =  4

x = 1

Then;

y = -2(1) + 1

y = -1

The system of equation has one solution (x, y) = (1,-1).

The system is consistent and independent.

2) The second system of simultaneous equation is re-expressed;

2x - y = 3     -----(1)

-4x + 2y = -6     -----(2)

Multiply the 1st equation by 2 to get;

4x - 2y = 6   -----(3)

Add eq 3 to eq 2 to get 0.            

Thus, the system of equation has no solution and a such the system is inconsistent.

3) 2x - y = 3   ------(1)

2y - 4x = 6  ----(2)

Multiply both sides of eq 1 by 2 to get;

4x - 2y = 6  -----(3)

Add eq 3 to eq 2 to get 0

The system of equation has no solution and the system is inconsistent.

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The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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Answer:

21.4 ≤ x ≤ 25.6

Step-by-step explanation:

The absolute value of a number is the non-negative value of the number without regard to its sign.

The absolute value of a real number x (|x|) is x for x is positive and -x for x is negative.

Let x represent the length of the trout. Since most trout have a length of 23.5 cm and differ by 2.1 cm, then x can be represented by:

|x - 23.5| ≤ 2.1

x - 23.5 ≤ 2.1 or -(x - 23.5) ≤ 2.1

x ≤ 2.1 + 23.5 or x - 23.5 ≥ -2.1

x ≤ 25.6 or x ≥ 21.4

Hence, the range of lengths of the trout is 21.4 ≤ x ≤ 25.6

The new population mean is 13

The given parameters are:

n = 5 and mean = 12

The mean is calculated as:

Mean = Sum/Count

So, we have

12 = Sum/5

This gives

Sum = 60

When n = 6, and the additional score is 18, we have

Mean = (Initial sum + x)/6

This gives

Mean = (60 + 18)/6

Evaluate

Mean = 13

Hence, the new population mean is 13

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Answer: I think that the answer is 3/4 miles

Step-by-step explanation:

Answer:

in the 4th quadrant

Answer:

Step-by-step explanation:

The sum of exterior angles in a quadrilateral is always 360 degrees.

So, 2x+x+4x+3x=10x=360

Soling for x, we get x=36 degrees.

Answer:

Ratio [Model : Actual] = 1:16

Step-by-step explanation:

Given:

Height of model = \(2\frac{1}{2}\) inches = 5/2 inches = 2.5 inches

Height of actual status = \(3\frac{1}{3}\) feet = 10 / 3 feet

Find:

Ratio [Model : Actual]

Computation:

Height of actual status = \(3\frac{1}{3}\) feet = 10 / 3 feet

Height of actual status = [10 / 3] x 12

Height of actual status = 40 inches

Ratio [Model : Actual] = 2.5 / 40

Ratio [Model : Actual] = 1:16

Hope this helps!! :)

Answer:1/64

Step-by-step explanation: I got it right

Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given is a pattern, which is the powers of 2.

The first term is 2⁻¹ = 1/2

The second term is 2⁻² = 1/ 2² = 1/4

The third term is 2⁻³ = 1 / 2³ = 1/8

The fourth term is 2⁻⁴ =  1 / 2⁴ = 1/16

The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32

The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64

So the value of a is 1/64.

Hence the value of a is 1/64.

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Answer:

15.37 inches

Step-by-step explanation:

The difference is the bigger no. minus the smaller no. 37.8 - 22.43  = 15.37

Answer:

-50

Step-by-step explanation:

7(3 – 2w) + 2 - 3 where w = 5

21-14w+2-3= -50

Answer:

-50

Step-by-step explanation:

PEMDAS

Answer: 3sqm

Step-by-step explanation:

Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20  Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14  Divide both sides by -2.  When you multiply or divide both sides by a negative number, you must flig the sign.

\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

\(\bf{-2u-6 < -20}\)

\(\bf{-2u < -14}\)

Divide each side by -1 and reverse the sign:

\(\bf{2u > 14}\)

Now divide each side by 2

\(\bf{u > 7}\)