Answer:
f(x) = -x^2 + x + 12.
Step-by-step explanation:
f(x) = a(x - 4)(x + 3) as the x-intercepts are -3 and 4.
a is some costant.
At the y intercept x = 0 so we have:
y = 12 = a(0-4)(0+3)
12 = -12a
a = -1
So our eaution is f(x) = -(x - 4)(x + 3)
= -(X^2 - x - 12)
= -x^2 + x + 12
express the following rational algebraic expression to its simple form.show your solution
5. ײ+5×-14/ײ-4
Answer
[tex] \frac{ \times -+7}{×+2} [/tex]
Find the perimeter of the composite figure
Answer:
88 inches
Step-by-step explanation:
Divide the shape into 2 shapes and add all side lengths.
20+8+8+16+12+24=88
100 POINTS What is the IQR for the data set?
{31, 76, 34, 35, 39, 49, 55}
Drag and drop the correct answer into the box.
IQR
set : {31, 76, 34, 35, 39, 49, 55}
arrange ascending to descending:
{ 31, 34, 35, 39, 49, 55, 76 }
given,
first quartile: 34third quartile: 55I.Q.R:
interquartile range : third quartile - first quartile 55 - 3421Answer:
21
Step-by-step explanation:
Place the numbers in order from smallest to largest:
31, 34, 35, 39, 49, 55, 76
The median (Q2) is the middle value = 39
Q1 is the middle value of the numbers smaller than the median = 34
Q3 is the middle value of the numbers larger than the median = 55
IQR = Q3 - Q1
= 55 - 34
= 21
Select the correct answer.
Sophia has unsharpened pencils that are 20 centimeters long. What is the approximate surface area of a pencil?
The surface area of the pencil is the amount of space it covers
The surface area of the pencil is 61 square centimeters
How to determine the surface area?The given parameters are:
H = 20 cm
L = 0.5 cm
The surface area (SA) is then calculated as:
SA = 6LH + 3[tex]\sqrt 3[/tex]L^2
This gives
SA = 6 * 0.5 * 20 + 3[tex]\sqrt 3[/tex] * 0.5^2
Evaluate the sum
SA = 61
Hence, the surface area of the pencil is 61 square centimeters
Read more about surface area at:
https://brainly.com/question/6613758
What is the answer to this question?
Answer:
A = 16.5 cm²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between bases and b₁, b₂ the bases
here h = 3, b₁ = 7 , b₂ = 4 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (7 + 4) = 1.5 × 11 = 16.5 cm²
Using the net below, find the surface area
of the triangular prism.
4 cm
3 cm
6 cm
4 cm
6 cm
3 cm
5 cm
4 cm
Surface Area = [?] cm2
The units are equal to 0.2 mile
Valeria will Need to travel from information to Security frequently.
•She can ride a golf cart along the solid lines from one to other at 12 miles per hour.
•She can walk along the dashed line at 4 miles per hour.
She wants to use the faster method. How should she travel
Answer:
Take the golf cart for the fastest time, and bragging rights.
Step-by-step explanation:
See attachment
The golf cart will make the trip in 0.383 hours, while walking would require 0.85 hours.
There were 15 birds in the park. Some (n) of them flew away. Which expression could be
used to figure out how many birds are still remaining in the park?
Answer:
15-n
Step-by-step explanation:
subtract the number that flew away from the total number of birds that were there
Select all the systems of equations that have exactly one solution.
Option 1. y = 4x - 1 and y = -4x + 7 Option 2. y = 3x + 1 and y = 2x + 1
Option 3. y = x + 2 and y = x + 7 Option 4. 2x + 2y = 20 and 3x + 3y = 30
Option 5. x + y = 40 and x + y = 90
Answer:
Option one and option 2
Step-by-step explanation:
Only ones that have 1 solution, option 3 and 5 have no solution, option 4 has infinetly many.
Classify as acute,obtuse, right,straight or reflex.
Answer:
That would be a right angle.
Step-by-step explanation:
you can tell from the little square on the angle which always means that it is a right angle.
Given f(x)= 2x^3+kx-1, and x+1 is a factor of f(x), then what is the value of k?
Answer:
put x=-1, and the rest will be easy
If x + 1 divides f(x), this means x = -1 is a root of f(x), i.e. f(-1) = 0. Plugging in x = -1 gives
f(-1) = 2 (-1)³ + k (-1) - 1 = -3 - k = 0
Solve for k; you end up with k = -3.
What's the circumference of a circle with a diameter of 16 inches
Find the surface area of this figure.
Answer:
57 inches^2 is the answer buddy
Step-by-step explanation:
BxH divided by 2
i need help with this i will give 100 pt
Answer:
1. Where you shop at
2. The tax in the state you live in.
Hope this helps!
Answer:
1. Where you shop at2. The tax in the state you live in.
Step-by-step explanation:
What was the average temperature change per hour?
Answer: So, the average temperature dropping is 2 degrees per hour.
Step-by-step explanation:
How many solutions are there? 100pts
Answer:
infinite many solutions
Step-by-step explanation:
5(2(b)+1) = 10(b) + 510(b) + 5 = 10(b) + 5As L.H.S = R.H.S, there are infinite many solutions
[tex]\\ \rm\Rrightarrow 5(2b+1)=10b+5[/tex]
[tex]\\ \rm\Rrightarrow 10b+5=10b+5[/tex]
[tex]\\ \rm\Rrightarrow 0=0[/tex]
Infinite solutionsTo solve the equation x ^2 - 2x = 3 by the technique of completing the square, you would add 4 to each side of the equation as one of the steps to reaching the solution.
Answer:
x = -1
x = 3
Step-by-step explanation:
[tex]\sf x^2 - 2x = 3[/tex]
Add 1 to both sides:
[tex]\sf \implies x^2 - 2x+1 = 3+1[/tex]
Factor the left side:
[tex]\sf \implies (x-1)^2 = 4[/tex]
Square root both sides:
[tex]\sf \implies x-1 = \pm2[/tex]
Therefore:
[tex]\sf \implies x-1=-2 \implies x=-1[/tex]
[tex]\sf \implies x-1=2 \implies x=3[/tex]
geometry help
answer choices:
24
12
82
59
The measure of the angle ∠A will be 12°. Then the correct option is B.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The angle formed by two secants (lines cutting a circle at two places) intersecting outside the ring is half the distance between their arc minus the closest arc.
From the diagram, the equation is given as,
∠A = (arc DE - arc BC) / 2
∠A = (94° - 70°) / 2
∠A = 24° / 2
∠A = 12°
The measure of the angle ∠A will be 12°. Then the correct option is B.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ7
2 Find the area of each trapezoid.
Answer:
You're missing an attachment :)
If you want an answer, I suggest you upload a picture, or provide more information, thank you.
Solve for w.
W/4 = 4 What does W equal?
Answer:
16
Step-by-step explanation:
sooo all you have to do is make W alone. to do that you multiply 4 to both sides of the equation
W = 4(4)
w = 16
PLEASE SOMEONE HELP!!
The base of a triangular door wedge has an area of 55 square centimeters. The height of the wedge is 5 centimeters. Find the volume of the door wedge.
Answer:
the answer ios yes
Step-by-step explanation:
55-243 equals the sum of 11
Which of the following lines is perpendicular to the line with this equation ?
y =4/5X – 12
a. y= -4/5x +9
b. y=5/4x +4
c. y= -5/4x -15
d.y= 4/5x -5
Answer:
soln,
a
y=5/4×-15
Answer:
C: y = -5/4x - 15
Step-by-step explanation:
A perpendicular line is always the negative reciprocal of the slope. In this case, the slope is 4/5. Therefore, the negative reciprocal is -5/4. Only look at the numbers connected to X for the slope, do not look at the constant.
how to copy and paste
Answer:
control + C then Control + V
Step-by-step explanation:
Answer:
If you have a PC, press Windows, Print Screen.
Step-by-step explanation:
Hope this helps..
If x = 5, then 3x + 4x - 15 equals:
A. 20
B. 15.
c. 40
D. 50
E 10
Answer:
20
Step-by-step explanation:
Given:
x = 5Substitute the value of x into the expression:
⇒ 3x + 4x - 15
⇒ 3(5) + 4(5) - 15
Simplify the expression:
⇒ 15 + 20 - 15
⇒ 15 + 5
⇒ 20 (Option A)
Answer:
A. 20
given function:
3(x) + 4(x) - 15put x = 5
3(5) + 4(5) - 15simplify
15 + 20 - 15answer
20A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere. find the radius of the sphere
Answer:
Radius of sphere is 21 cmStep-by-step explanation:
Given:
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere.To Find:
Radius of the sphereSolution:
Volume of sphere = Volume of cubiod
↠ 4/3 πr³ = LBH
↠ 4/3 × 22/7 × r³ = 49 × 33 × 24
↠ 4/3 × 22/7 × r³ = 38808
↠ 4 × 22/7 × r³ = 38808/3
↠ r³ = 38808 × 3 × 7/4 × 22
↠ r³ = 441 × 21
↠ r³ = 9261
↠ r = 21 cm
Hence,
Radius of sphere is 21 cmAnswer:
21.00 cm to the nearest hundredth.
Step-by-step explanation:
The volume of the sphere will be equal to the volume of the cuboid.
So 4/3 π r^3 = 49*33*24 where r = radius of the sphere.
r^3 = (49*33*24 ) / 4/3 π
r^3 = 38808 / 4.18879
= 9264.728
r = ∛9264.728
= 21.0028 cm.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
76 in²
Step-by-step explanation:
Area of the figure
Area (top rectangle) + 2 x Area (bottom rectangle)12 x (7 - 2) + 2 x 2 x 412 x 5 + 1660 + 1676 in²I need help please with this 1 problem
Answer:
See below, please
Step-by-step explanation:
We know
[tex]f(x) = {x}^{2} + 3x - 7[/tex]
[tex]g(x) = 3x + 5[/tex]
[tex]h(x) = 2 {x}^{2} - 4[/tex]
Hence
[tex]f(g(x))[/tex]
[tex] = {(3x + 5)}^{2} + 3 \times (3x + 5) - 7[/tex]
[tex] = (9 {x}^{2} + 30x + 25) + (9x + 15) - 7[/tex]
[tex] = 9 {x}^{2} + 39x + 33[/tex]
[tex]h(g(x))[/tex]
[tex] = 2 \times {(3x + 5)}^{2} - 4[/tex]
[tex]2 \times (9 {x}^{2} + 30x + 25) - 4[/tex]
[tex] = 18 {x}^{2} + 60x + 50 - 4[/tex]
[tex] = 18 {x}^{2} + 60x + 46[/tex]
[tex](h - f)(x)[/tex]
[tex] = h(x) - f(x)[/tex]
[tex] = (2 {x}^{2} - 4) - ( {x}^{2} + 3x - 7)[/tex]
[tex] = {x}^{2} - 3x + 3[/tex]
[tex](f + g)(x)[/tex]
[tex] = f(x) + g(x)[/tex]
[tex] = ( {x}^{2} + 3x - 7) + (3x + 5)[/tex]
[tex] = {x}^{2} + 6x - 2[/tex]
I need helpppppppppppp
Help my sister she doesn’t understand this and I got to go
Answer:
1/2
1/4
2/4
1/4
2/4
1/4