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
Goshia [24]
3 years ago
5

A straight line intersects the curved graph y=x^2-4x at the point where x=-1 and x=-2. Work out the equation of the straight lin

e.
Mathematics
2 answers:
mestny [16]3 years ago
7 0
Y = -7x - 2 Use the two points given to find the slope (m) m = (y2 - y1) / (x2 - x1) m = ( 12-5 ) / (-2 - (-1)) m = -7 Now we have y = -7x + b where 'b' is our y-intercept. We can solve for 'b' by choosing one of the (x,y) coordinate points and plugging them in. Let's choose the point (-1,5). Plug -1 in for 'x' and 5 in for 'y' and solve for 'b'. y = -7x + b 5 = -7(-1) + b b = -2 Final eqn: y = -7x - 2
Luba_88 [7]3 years ago
7 0
Where x=-1:
Y= (-1)^2 - 4(-1)
Y= 1 - -4
Y= 5

Where x=-2:
Y= (-2)^2 - 4(-2)
Y= 4 - - 8
Y= 12

Now we calculate the gradient/slope:

m= y2-y1/x2-x1
m= (12 - 5)/(-2 - -1)
m= 7/-1

Finally, the y-intercept:

y= -7x + c
Using any of the known points from earlier (-1,5) or (-2,12)
5= -7(-1) + c
5 -7 = (7 - 7) + c
-2 = c

The equation is y = -7x - 2
You might be interested in
Amy said 49 of her teammates got hits during a recent softball game. Which decimal represents this same amount?
luda_lava [24]
D , because 1+1=2/5•7q+09
7 0
3 years ago
Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make any payments
Mama L [17]

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

A(t) = A(0)(1+r)^t

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem:

Her initial balance is of $300, hence . A(0)=300

The growth rate is of 15%, hence R =0.15

Then,

A(t) = A(0)(1+r)^t

A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\

It will reach $450 after t years, for which A(t) = 450, hence:

A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9

It will take about 2.9 years for Emma's balance to reach $450

Learn more about logarithm here

brainly.com/question/247340

#SPJ4 .

3 0
2 years ago
Eight less than the product of a number n and<br> is no more than 94.
vladimir2022 [97]

First, let's call "a number": n

Then. "eight less than a number" can be written as: n-8  

This expression "is no more than 14" can be written as: n−8≤14

[13,22]

5 0
3 years ago
A city is building a fence around a rectangular playground. If the perimeter of the playground is 90 feet and the length of one
jeka57 [31]
If the perimeter is 90 feet and on side is 26 feet then the width of the playground is 38 feet
6 0
3 years ago
Read 2 more answers
Factorization x^2+2x+5​
anyanavicka [17]

Answer:

x^ 2 + 2 x + 5

Step-by-step explanation:

The expression is not factorable with rational numbers.

7 0
3 years ago
Other questions:
  • Sabena invests $250 in an account that earns 2.4% interest per year compounded continuously. How many years will it take the acc
    13·1 answer
  • What is the value of the expression if z=27
    10·1 answer
  • write and solve an equation to show thw average number of calendars her 3rd period class sold peer week during the four week cha
    13·1 answer
  • How do you tell Side-side-side, Side-Angle-Side, Angle-Angle-Side apart?
    14·1 answer
  • On the coordinate plan, what is the distance between the points (−5, 2) and (−5, −10)? A) 7 B) 10 C) 12 D) 15
    8·1 answer
  • If f(x)= (3+x)/(x-3), what is f(a+2)
    8·1 answer
  • 3. In the first month, Miranda worked 33.5 hours. Of the total amount she needs to save for the computer, what percent did she s
    12·1 answer
  • Please help me with kahn academy
    7·2 answers
  • Given that f(x)=2x-1.
    15·1 answer
  • Drag the geographical features that helped Rome flourish to the box.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!