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3 years ago

Solve the system by graphing.

Mathematics

2 answers:

suter [353]3 years ago

8 0

Answer: Option A. The solution set is (4,5)

Step-by-step explanation:

Solve the equation for y to obtain the form of the equation of the line.

You have:

y=-x+9 (The slope is -1 and the y-intercept is 9)

y=x+1 (The slope is 1 and the y-intercept is 1)

When you graph it you obtain the graph shown in the figure attached.

The solution is the intersection of the lines.

Then, the solution set is (4,5)

Iteru [2.4K]3 years ago

8 0

Answer:

Choice A is correct answer.

(4,5)

Step-by-step explanation:

We have given a system of equations.

x+y = 9 eq(1)

x-y = -1 eq(2)

We have to solve given system of equations by graphing.

From eq(1) ,

y = -x+9

slope = -1 and y- intercept is 9.

Frpm eq(2) ,

y = x+1

slope = 1 and y-intercept = 1

We have to draw given equation on graph.

From attachment , see the intersection point of equations.

(4,5) is intersection point which is our solution.

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A pair of Jordans sold at retail for $180 and now sell for $330 after market. A. Is this a percent INCREASE or DECREASE, what is

Elza [17]

Answer:

This is a percent INCREASE

The percent change is 83.33%

Step-by-step explanation:

Let us solve the question

∵ A pair of Jordans sold at retail for $180

∴ The initial price = 180

∵ Now it sells for $330 aftermarket

∴ The new price = 330

→ That means the new price is greater than the initial price

∵ The new price is greater than the initial price

∴ This is a percent INCREASE

∵ The percent of change = (amount of increase ÷ initial amount) × 100%

∵ The amount of increase = new price - initial price

∴ The amount of increase = 330 - 180 = 150

→ Substitute it in the rule of percent of increase above

∵ The percent change = $\frac{150}{180}$ × 100%

∴ The percent change = $\frac{5}{6}$ × 100%

∴ The percent change = 83.33%

4 0

2 years ago

Evaluate: 6-(2/3)^2 A. 17/3 B. 52/3 C. 49/9 D. 50/9

Komok [63]

Answer:

The correct answer is: "Option [D]".

Step-by-step explanation:

Hi student, let me help you out!

....................................................................................................................................

Let's use the acronym PEMDAS. With the help of this little acronym, we will not make mistakes in the Order of Operations! :)

$\dag\textsf{Acronym \: PEMDAS}$

P=Parentheses,

E=Exponents,

M=Multiplication,

D=Division,

A=Addition,

S=Subtraction.

Now let's start evaluating our expression, which is $\mathsf{6-(\cfrac{2}{3})^2}$

According to PEMDAS, the operation that we should perform is "E-Exponents".

Notice that we have a fraction raised to a power. When this happens, we raise both the numerator (2 in this case) and the denominator (3 in this case) to that power, which is 2. After this we obtain $\mathsf{6-\cfrac{4}{9}}$ .

See, we raised both the numerator and the denominator to the power of 2.

Now what we should do is subtract fractions.

Note that 6 and -4/9 have unlike denominators. First, let's write 6 as a fraction: $\mathrm{\cfrac{6}{1}-\cfrac{4}{9}}$ . Now let's multiply the denominator and the numerator of the first fraction times 9: $\mathrm{\cfrac{54}{9}-\cfrac{4}{9}}$ .

See, now the fractions have the same denominator. All we should do now is subtract the numerators: $\mathrm{\cfrac{50}{9}}$ .

∴, the answer is Option D.

Hope this helped you out, ask in comments if any queries arise.

Best Wishes!

$\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach \: far. Aim \: high. Dream \: big.}}}}}\bigstar\star$

$\underline{\rule{300}{5}}$

5 0

2 years ago

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antoniya [11.8K]

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3 0

2 years ago

Read 2 more answers

-(-6x - 5) = 4(5x + 3)

Lina20 [59]

Answer:

$\large\boxed{B)\ -\dfrac{1}{2}}$

Step-by-step explanation:

$-(-6x-5)=4(5x+3)\qquad\text{use the distributive property}\\\\-(-6x)-(-5)=(4)(5x)+(4)(3)\\\\6x+5=20x+12\qquad\text{subtrac 5 from both sides}\\\\6x=20x+7\qquad\text{subtract 20x from both sides}\\\\-14x=7\qquad\text{divide both sides by (-14)}\\\\x=-\dfrac{7}{14}\\\\x=-\dfrac{1}{2}$

8 0

2 years ago

a ferry is traveling at a constant speed back to the dock, as shown in the graph. which function represents the relationship bet

horsena [70]

Answer: y = -35x + 105

Step-by-step explanation:

The graph represents a function that is between hours and miles and to determine the equation which belong to this graph, we need to find the slope first by using two points from the graph which are (0, 105) and (3, 0).

The definition of slope is

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

= (0-105)/3-0

= -105/3

= -35

The slope is -35 and remember that the slope is the coefficient of the variable x. Therefore, the answer is:

y = -35x + 105

6 0

2 years ago