Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).
Answers
using given coordinates of vertex:
y=A(x-1)^2-13
using given coordinates of y-intercept:
-11=A(0-1)^2-13
A=2
Equation of parabola: y=2(x-1)^2-13
x-intercepts
set y=0
0=2(x-1)^2-13
2(x-1)^2=13
(x-1)^2=13/2
x-1=±√(13/2)
x=1±√(13
general solutions are:
for P(0,-11)
for p(1,-13)
and
solve for a and b:
the total equation is now:
To find the x-intercept set y=0 and solve for x
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A rectangular garden is 5 feet longer than twice its width. It has a sidewalk 3 feet wide on two of its sides. The area of the sidewalk is 213 square feet. Find the dimensions of the garden.
Find the greatest common factor of 8, 6, and 10. z
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
Answers
The number of weeks is x. So, weekly, the tree grows 3.8x.
If the measurements of the growth begin when the tree started to grow, the equation would be: f(x) = 3.8x.
But, the measurements begin when the tree is 5 m tall. Since 1 m is 100 cm, this means that 5 m is 500 cm. Thus, the equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 5 meters tall is:
f(x) = 500 + 3.8x
Answer:
DO NOT FORGET that the tree is already 5 meters tall on the FIRST WEEK, not the 0th week. So, f(x)=500+3.8x is incorrect.
(For example, on the second week the tree should be 503.8 meters tall. But if you plug 2 in f(x)=500+3.8x, you would get 507.6, which is the height of the tree on the third week.)
a.5/2
b.2
c.1/2
Answers
0.5x² - 1.25x - 3 = 0
Comparing to the quadratic function, ax² + bx + c = 0,
a = 0.5, b = -1.2, c = -3.
Sum of roots = -b/a = -(-1.25)/0.5 = 1.25/0.5 = 2.5
2.5 = 5/2 Option (a)
Please please help me.
Answers
Step-by-step explanation:
Q1:
• Reflection about the X-axis.
• g(x) = -f(x).
Q2:
• Horizontal translation 1 unit to the right.
• g(x) = f(x-1).
Q3:
• Scaling by 2 times in the vertical direction.
• g(x) = 2f(x).
1/a =6/18
Answers
1 6
--- = ---
a 18
- simplify 6/18, which should be 1/3. therefore, a = 3.
Mathew is going to cover the patio with paving slabs. Each paving slab is a square of side 60cm.
Mathew buys 32 of the paving slabs.
A) Does Mathew buy enough paving slabs to cover the patio?
The paving slabs cost £8.63 each
B) Work out the total cost of the 32 paving slabs.
Answers
if Mathew has bought 32 slabs , he has enough paving slabs to cover the patio and £276.16 is the total cost of the 32 paving slabs.
What is a Rectangle ?
A rectangle is a polygon with 4 sides , in which opposite sides are parallel and equal .
It is given that the patio has length of 3.6 m and width of 3 m
Each paving slab is a square having side 60 cm or .6 m
Area of a rectangle is given by
length * width
3.6*3
10.8 m²
Area = 10.8 m²
Area of a slab = 0.6 *0.6 = 0.36 m²
No. of slabs needed = n
10.8 = 0.36* n
n = 30 slabs
So if Mathew has bought 32 slabs , he has enough paving slabs to cover the patio.
If the paving cost costs £8.63
The total cost for 32 slabs will be 32 * £8.63
= £276.16
To know more about Rectangle
#SPJ2
( ˆ5 is the exponent for 5 )