Step-by-step explanation:
y = 4x²+ 40x+112 (:4)
x²+ 10x+ 28.
28
1. |. 28
2. |. 14
4. |. 7
(x+4)(x+7)=0
x= -4. V. x= -7
Now fill in the x= -4 in y so you get the Y-coordinate and do the same for x= -7
Anseer should be like: 'The coordinates are (x, y) and (x, y)
help me plz i really need help
Answer:
I think the answer is C it may not be right but I think it is
In right triangle ABC with right angle B, the sin 48° is equal to the cosine of what angle measure?
Answers:
48°
42°
90°
52°
Answer:
42
Step-by-step explanation:
from the trigonometric identity
[tex]sin \beta =cos(90 -\beta )[/tex]
if [tex]\beta[/tex]=48 hence
[tex]90-48=42[/tex]
hence
[tex]sin48=cos42[/tex]
I need help on this,can anyone help me?
Answer:
no nobody can help you
Step-by-step explanation:
Harry fills up his Jeep with gasoline and notes that the odometer reading is miles. The next time he fills up his Jeep, he pays for gallons of gasoline. He notes his odometer reading is miles. How many miles per gallon did he get?
Complete question :
Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?
Answer:
10.9 miles per gallon
Step-by-step explanation:
Given that :
Odometer reading when filled up with gasoline = 23,568.7 miles
Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles
Miles per gallon gotten :
(Current Odometer reading - reading when filled up) / gallon of gasoline
(23706.3 - 23568.7) / 12.6
= 10.920634
= 10.9 miles per gallon
Which of these points is closest to the point (7,1)?
Answer:
6,7
Step-by-step explanation:
ax-5a+4x-20
a(x-5)+2(2x-10)
Answer:
To get from ax-5a+4x-20 to a(x-5)+2(2x-10). You had to of found a common factor.
Another (better) way to simply this would be finding the greatest common factor.
a(x-5)+4(x-5)
(a+4)(x-5)
Danny paid $17.22 for 6 gallons of gasoline. How much did Danny pay for one gallon of gas?
Answer:
Danny paid 2.87$ per gallon of gasoline
Step-by-step explanation: 17.22 divided by 6
An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a rate of 34 m per year at a time when the region is 450 m wide. How fast is the area changing at that point in time?
Answer:
The area is changing at the point of [tex]\mathbf{61200 m^2/year}[/tex]
Step-by-step explanation:
From the given information:
Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w
where;
L = length and w = width of the rectangle
Suppose the Length L is twice the width w
Then L = 2w --- (1)
From The area of a rectangle
A = L × w
A = 2w × w
A = 2w²
Taking the above differentiating with respect to time
[tex]\dfrac{dA}{dt }= 4w \times \dfrac{dw}{dt} --- (2)[/tex]
At the time t
[tex]\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m[/tex]
Replacing the values back into equation 2, we get:
[tex]\dfrac{dA}{dt }= 4 \times 450 \times 34[/tex]
[tex]\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}[/tex]
1/4 es un decimal exacto
Answer:
0.25
Step-by-step explanation:
Decimal exacto
La parte decimal de un número decimal exacto está compuesta por una cantidad finita de términos.
Ejemplos:
15.125
0.1
3.0000001
Si en sus factores sólo aparecen 2, 5 o ambos, la fracción es decimal exacta.
Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = f (b) − f (a) b − a . If the Mean Value Theorem cannot be applied, explain why not.
f(x) = x^3 + 2x, [-1,1]
Answer:
There is a value of [tex]c[/tex] in (-1, 1), [tex]c = 0.577[/tex].
Step-by-step explanation:
Let [tex]f(x) = x^{3}+2\cdot x[/tex] for [tex]x \in[-1,1][/tex], we need to prove that [tex]f(x)[/tex] is continuous and differentiable to apply the Mean Value Theorem. Given that [tex]f(x)[/tex] is a polynomical function, its domain comprises all real numbers and therefore, function is continuous.
If [tex]f(x)[/tex] is differentiable, then [tex]f'(x)[/tex] exists for all value of [tex]x[/tex]. By definition of derivative, we obtain the following expression:
[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{(x+h)^{3}+2\cdot (x+h)-x^{3}-2\cdot x}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{x^{3}+3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot x+2\cdot h-x^{3}-2\cdot x}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot h}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} 3\cdot x^{2}+ \lim_{h \to 0} 3\cdot x \cdot h+ \lim_{h \to 0} h^{2}+ \lim_{h \to 0} 2[/tex]
[tex]f'(x) = 3\cdot x^{2}+2[/tex] (Eq. 2)
The derivative of a cubic function is quadratic function, which is also a polynomic function. Hence, the function is differentiable at the given interval.
According to the Mean Value Theorem, the following relationship is fulfilled:
[tex]f'(c) = \frac{f(1)-f(-1)}{1-(-1)}[/tex] (Eq. 3)
If we know that [tex]f(-1) = -3[/tex], [tex]f(1) = 3[/tex] and [tex]f'(c) = 3\cdot c^{2}+2[/tex], then we expand the definition as follows:
[tex]3\cdot c^{2}+2 = 3[/tex]
[tex]3\cdot c^{2} = 1[/tex]
[tex]c = \sqrt{\frac{1}{3} }[/tex]
[tex]c \approx 0.577[/tex]
There is a value of [tex]c[/tex] in the interval (-1, 1), [tex]c = 0.577[/tex].
If 1 inch represents 10 miles on a map then how many inches will represent 120 miles ?
Answer:
12 inches
Step-by-step explanation:
We can write this as a proportion:
inches/miles = inches/miles
1/10 = x/120
Solving for x, we get 12 inches.
A car moves at a speed of 30m/s to the west for 3hr. What is the displacement of the car in km?
Determine the Measure of angle X
Answer:
[tex]x=325[/tex]°
Step-by-step explanation:
[tex]360-35=325[/tex]
The answer above mine is correct... ^^;
-3- 2 1/3 please help me out
Answer:-2/3
-3-2 1/3
which is also
-3 -7/3
which is also
-9/3-7/3
which is
-2/3
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probability the doors were left open?
Answer:
0.625 or 62.5 %
Step-by-step explanation:
Calculation to find the probability that the doors were left open
First step is to find the probabilities of doors open and robbed
Probability of door open and robbed =
(25/100)*(5/100)
Probability of door open and robbed= 0.25*0.05
Probability of door open and robbed=0.0125
Second step is to find the probabilities of doors closed and robbed
Probability of door closed and robbed=
(75/100)*(1/100)
Note that 3/4 will give us 75%
Probability of door closed and robbed=0.75*0.01
Probability of door closed and robbed=0.0075
Third step is to find the probability of getting robbed
Probability of getting robbed =0.0075+0.0125
Probability of getting robbed=0.02
Last step is to find the probability that the doors were left open
Using this formula
Probability of open doors = P[door open & robbed] / P[robbed]
Let plug in the formula
Probability of open doors= 0.0125/0.02
Probability of open doors=0.625*100
Probability of open doors=62.5 %
Therefore the probability that the doors were left open will be 0.625 or 62.5 %
Show your work please
will give brainliest...
The square of a certain positive number is equal to 2 more than seven-thirds of that number. What is the number?
6
4
3
Answer:
3
Step-by-step explanation:
x^2=7/3x+2
3^2=7/3(3)+2
9=7+2
9=9
PLEASE HELP ASAP
Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept
Answer:
10) m: 6
b: 5
y= 6x +5
12) m: -2
b: -1
y= -2x-1
14) m: 1
b: 0
y= x
Step-by-step explanation:
The slope-intercept form is the form y=mx+b
m is the slope. You can find it by finding two points that the line intersects, and counting the number of units between them.
Remember the slope is "rise over run", so, the difference in y over the difference in x.
b is the y-intercept. You can find it by looking at where the line crosses the y-axis.
Hope this helps you out!
Please help! I need your help! If you help you get points. If you get points your smart.
D: She needs to keep going to find more digits.
100 subtracted by 20 equals
Answer:
80 :)
Step-by-step explanation:
select all equations that are equivalent to 5x+(x+6)+3x
Whoops! It looks like your question was not part of an academic assignment. Since Brainly is only intended for homework questions, we had to remove it. Please keep the question feed clear of personal questions so other users can get the help they need. Thanks! ߷
-5+6/3(2)+9^2 simplify this equation
Answer:
80
Step-by-step explanation:
-5+6/3(2)+9^2
−5+(2)(2)+92
−5+4+92
−1+92
−1+81
= 80
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 28 N acts on a certain
object, the acceleration of the object is 7 m/s². If the acceleration of the object becomes 3 m/s2, what is the force?
Answer:
Step-by-step explanation:
F=ma
28=7m
m=28/7=4
F=4a
when a=3 m/s²
F=4×3=12 N
Plz help and thank you
Answer:
60%
Also known as 330 students
Step-by-step explanation:
Plz mark brainliest!!!
Answer:
Work shown below!
Step-by-step explanation:
If 40% of students take the bus, then 60% of 550 students don't take the bus;
[tex]\frac{60}{100}*\frac{550}{1} =6*55=330[/tex]
330 students do not take the bus
Help plsss 10 points!!!!!! I will give you brianless
10
11
Plsss
Answer: Quadrant 4
Step-by-step explanation:
Find the length of BD and EC.
A
D
9
8
B
с
BD =
EC =
Allan wanted to become a machine salesperson. He was offered a job that paid him $40,000 a year plus a commission of $300 for every machine he sells. If Allan made &50,800 last year, how many machine did he sell?
Answer:
36
Step-by-step explanation:
50800-30000=10800/300=36
:)
Which shows the best use of the associative and commutative properties to make simplifying 2/5 - 15 + 8 - 1/5 + 3
Answer:
1/5 - 4
Step-by-step explanation:
First add -15, 8 and 3 to simplify.
And add 2/5 and -1/5
Now you should have 1/5 - 4
Find the value of r.
Answer:
r=0
Step-by-step explanation:
the line passes through the origin which means there is no y-intercept
write the point slope form of the line that passes through -8, 2 and is perpendicular to the line with a slope of negative 8
Answer:
y = -1/8x + 1
Step-by-step explanation:
Line perpendicular to 8 is -1/8
If the line were to start at the origin, then y- intercept would be 0, and it would pass through the point (-8, 1) To pass through point (-8, 2), add 1 to y in the first example.
f(x) = x + 2
Find f(-5)
Answer:
f(-5) = -3
Step-by-step explanation:
f(x) = x + 2
Let x = -5
f(-5) = -5 + 2
-3
