1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
TiliK225 [7]
3 years ago
15

Solve the system of equations y=2x+1 y=x^2+2x-8

Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0

Answer:

(3,7) and (-3,-5)

Step-by-step explanation:

To solve the system of equations, graph both functions. The (x,y) point(s) where the functions intersect is the solution(s).

See attached picture.

You might be interested in
Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit
Phantasy [73]

Answer:

y=-2.95836 x +234.56159

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479

\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694

\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897

\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226

\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22

And the slope would be:

m=-\frac{-4152.222}{1403.556}=-2.95836

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222

\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111

And we can find the intercept using this:

b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159

So the line would be given by:

y=-2.95836 x +234.56159

7 0
3 years ago
Tell which measure is greater. One yard or one meter?
tensa zangetsu [6.8K]

Answer:

one yard one yard is bigger. 1 yard=0.9144 meter

8 0
2 years ago
Read 2 more answers
Which transformation could NOT be used to prove that two circles are congruent to one another?
EleoNora [17]

Answer: D

Step-by-step explanation:

6 0
3 years ago
Can someone pls tell me the answers to all of these??
Llana [10]

Answer:

Left up x=34

Left down x=87

Right x=17

Step-by-step explanation:

The picture is the working out.

6 0
3 years ago
Read 2 more answers
Please help me i need to complete this by tomorrow
lisov135 [29]

Answer:

Step-by-step explanation: Need to work out your scale factor which is 1.5.

8 * 1.5 = 12

CE = 12

12 * 9 = 108/2 = 59 that is the area of triangle ACE

8 * 6 = 48/2 = 24 that is the area of triangle BCD

ACE - BCD = ABDE

59 - 24 = 35cm^2

8 0
2 years ago
Other questions:
  • Can someone please explain the steps to solve these questions.
    15·1 answer
  • Kayla had 64b dollars. She gave 1/8 of it to Luke and spent $45. How much money did Kayla have left? Express answer in terms of
    10·2 answers
  • In one month, the median home price in the West fell from $203,400 to $192,300. Find the percent decrease.
    15·1 answer
  • Simplify the following expression 19-(-8)-(-4)
    15·1 answer
  • A rectangle is 9 centimeters long and 6 centimeters wide. What is its area?
    10·1 answer
  • The product of a rational and irrational number is rational. always sometimes never
    9·1 answer
  • Honey and Money are twin brothers. Mother wants to equally divide a rectangular shaped cake of 5cm wide and 6cm long. Find the l
    5·1 answer
  • A rectangular prism has a base length of 6 units, base width of 5 units, and height of 4 units. The bases are shaded.
    5·2 answers
  • 70 students per 2 teachers
    8·2 answers
  • I WILL GIVE BRAINLIEST!!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!