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2 years ago

What is the equation for a line with the point 1,5 and a slope of 3

Mathematics

2 answers:

Travka [436]2 years ago

4 0

Point Slope Form: y-5 = 3(x-1)

Slope Intercept Form: y = 3x + 2

Standard Form: 3x - y = -2

lorasvet [3.4K]2 years ago

3 0

Using y = mx + b to find b
5 = 3(1) + b
b = 2

equation
y = 3x + 2

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One of the roots of the equation 3x^2+7x−q=0 is −5. Find the other root and q.

statuscvo [17]

Answer: The answer is $\textup{The other root is }\dfrac{8}{3}~\textup{and}q=40.Step-by-step explanation: The given quadratic equation is[tex]3x^2+7x-q=0\\\\\Rightarrow x^2-\dfrac{7}{3}x-\dfrac{q}{3}=0.$

Also given that -5 is one of the roots, we are to find the other root and the value of 'q'.

Let the other root of the equation be 'p'. So, we have

$p-5=-\dfrac{7}{3}\\\\\\\Rightarrow p=5-\dfrac{7}{3}\\\\\\\Rightarrow p=\dfrac{8}{3},$

and

$p\times(-5)=-\dfrac{q}{3}\\\\\\\Rightarrow \dfrac{8}{3}\times 5=\dfrac{q}{3}\\\\\\\Rightarrow q=40.$

Thus, the other root is $\dfrac{8}{3}$ and the value of 'q' is 40.

3 0

3 years ago

Help me.A towns population went from 25,800 people to 48,200 people in ten years. What is the percent

solong [7]

The percent increase in population is: 87%

Further explanation:

The percent change is given by:

$Percent\ increase=\frac{Increase}{Original\ number}*100$

Given

Population before 10 years = 25800 people

Population after 10 years= 48200 people

$Increase=48200-25800=22400\ people$

Putting the values in the formula:

$Percent\ Increase=\frac{22400}{25800}*100\\=0.8682*100\\=86.82\%\\Rounding\ off\ to\ nearest\ percent\\87\%$

The percent increase in population is: 87%

Keywords: Percentage, Population

Learn more about percentage at:

#LearnwithBrainly

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2 years ago

Jade buys a blouse and a skirt for 3/6 of their original price. Jade pays a total of $31 for the two items. If the original pric

Damm [24]

Answer:

3/4 times 18= 13.5

31.5-13.5=18

It cost 18 dollars for the skirt with a discount.

It cost 13.5 for the blouse as opposed to the original price of 18 dollars.

18(skirt)+13.5(blouse)=31.5

If you set up a proportion to find the original price of the skirt you will get the answer.

18/x=75/100

75x=18 times 100

75x=1800

75x/75=1800/75

x=24

The original price of the skirt is 24 dollars.

Step-by-step explanation:

4 0

2 years ago

How do you find the answer y and what is the answer?

konstantin123 [22]

i think an estimate for the answer would be around 90 degrees

3 0

2 years ago

The reasons as well as the answer

Radda [10]

Answer:

x = 46, y = 67

Step-by-step explanation:

x = ∠ AEC = 46 ( alternate angles )

Since Δ ACE is isosceles then the base angles are congruent, then

y = $\frac{180-46}{2}$ = $\frac{134}{2}$ = 67

4 0

2 years ago

Read 2 more answers