Answer:
C
Step-by-step explanation:
Graph the equation y = x2 + 6x + 5 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.
Answer:
Please check the graph below.
Step-by-step explanation:
Given the function
[tex]y\:=\:x^2\:+\:6x\:+\:5[/tex]
Axis interception points of the function
x-axis interception points can be computed by setting y=0
[tex]x^2+6x+5=0[/tex]
[tex]\left(x+1\right)\left(x+5\right)=0[/tex]
Using the zero factor principle
if [tex]\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x+1=0\quad \mathrm{or}\quad \:x+5=0[/tex]
[tex]x=-1,\:x=-5[/tex]
Hence,
x-axis interception points are: (-1, 0), (-5, 0)
y-axis interception points can be computed by setting x=0
[tex]x^2+6x+5=0[/tex]
[tex]y\:=\:\left(0\right)^2\:+\:6\left(0\right)\:+\:5[/tex]
[tex]y=0+0+5[/tex]
[tex]y=5[/tex]
Hence,
y-axis interception points are: (0, 5)
From the graph, it is clear that at (-3, -4) the parabola changes direction, hence (-3, -4) it the "vertex".
Also at the point x=-2, then y is = -3
So, all the points are labeled and the graph is attached below.
A balloon that has a volume of 72 cubic centimeters is deflating at a rate of 4 cubic cm every 5 seconds. At this rate, how long will it take for all 72 cubic cm to deflate?
Answer: 90 seconds or 1 min. and 30 sec.
Step-by-step explanation:
72/4=18
18x5=90
A backpack originally costs $35.It is on sale for $22.75. Find the percent of decrease.
21 points bruh and also sub to RahimZ
please walk me through how to do this so I can di the other questions
Answer:
Axis is a vertical line at x = 2
Vertex is (2, -1)
y-intercept is (0, 3)
Solutions are x = 1 and x = 3
Step-by-step explanation:
To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y
Let us do that
Use x = -1, 0, 1, 2, 3, 4, 5
∵ y = x² - 4x + 3
∵ x = -1
∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8
→ Plot point (-1, 8)
∵ x = 0
∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3
→ Plot point (0, 3)
∵ x = 1
∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0
→ Plot point (1, 0)
∵ x = 2
∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1
→ Plot point (2, -1)
∵ x = 3
∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0
→ Plot point (3, 0)
∵ x = 4
∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3
→ Plot point (4, 3)
∵ x = 5
∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8
→ Plot point (5, 8)
→ Join all the points to form the parabola
From the graph
∵ The axis of symmetry is the vertical line passes through the vertex point
∵ x-coordinate of the vertex point is 2
∴ Axis is a vertical line at x = 2
∵ The coordinates of the vertex point of the parabola are (2, -1)
∴ Vertex is (2, -1)
∵ The parabola intersects the y-axis at point (0, 3)
∴ y-intercept is (0, 3)
∵ x² - 4x + 3 = 0
∵ The solutions of the equation are the values of x at y = 0
→ That means the intersection points of the parabola and the x-axis
∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)
∴ Solutions are x = 1 and x = 3
PLEASE ANSWER BOTH!!!WILL GIVE BRAINLIEST!!!
Taylor has a collision deductible of $500 and a Bodily Injury Liability coverage limit of $50,000.
Taylor hits another driver and injures them severely.
The case goes to trial and there is a verdict to compensate the injured person for $40,000.
a) How much does Taylor have to pay?
b) How much does Taylor's insurance pay?
Answer: she will have to pay $500 and her insurances has to pay $40,000
Step-by-step explanation:
Answer: She will pay 9,000 dollars. Her insurance company will have to pay 7,000.
Determine if the following relation is a function, and explain why.
41
3+
2
1
AT
-32
1
0
1
-1
2 3
-2
-31
Answer:
I have no idea butter needed points im sorryyy
graph an equation on the line passing through point P(0, 0) that is perpendicular to the line when y = −9x−1
What's the square root of 17 rounded to the nearest tenth
Answer:
4.0
Step-by-step explanation:
Answer:
4.1
Step-by-step explanation:
4.1231056 is [tex]\sqrt{17}[/tex]
When rounding to the nearest tenth, we get
4.1
Hope I helped,
PumpkinSpice1
Miguel earns $70 washing 7 cars. At this rate, how many cars did Miguel wash to earn $110?
Answer:
11 cars
Step-by-step explanation:
If he earned 70 cars 7 that means he earned 10 dollars per car. So in order to make 110 dollars he must wash 11 cars.
Answer:
11 cars
Step-by-step explanation:
$70total/7 cars= $10 per car
$110 total/$10 per car= 11 cars
What is the least common multiple (LCM) of 3 and 5?
Answer:
the lcm of 3 and 5 is 15 I hope this helps
Step-by-step explanation:
Bruno‘s mother is eight more than twice his age. His father is three years older than his mother is. If all three members have lived a total of 94 years, how old is each family member?
Answer:
Bruno = 15 years
Mother = 8 + 2(15) = 38 years
Father = 38 + 3 = 41 years
Step-by-step explanation:
Given that :
Let
Bruno's age = x
Mothers age = 8 + 2x
Father's age = 8 + 2x + 3 = 2x + 11
x + 8 + 2x + 2x + 11 = 94
5x + 19 = 94
5x = 75
x = 75 /5
x = 15
Bruno = 15 years
Mother = 8 + 2(15) = 38 years
Father = 38 + 3 = 41 years
Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly. How much will Mr.Turner have in the account after 4 years to the nearest dollar?
Answer:
$9,724.05
Step-by-step explanation:
8000(1+.05)^4= 9724.05
sry if im wrong :)
The amount after 4 years will be equal to $9,724.05
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.
Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
Given that Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly.
The amount after 4 years will be calculated as:-
[tex]A = P ( 1 + \dfrac{r}{100})^{nt}[/tex]
[tex]A = 8000 ( 1 + \dfrac{5}{100})^{4}[/tex]
A = 9724.05
Therefore, the amount after 4 years will be equal to $9,724.05.
To know more about Compound interest follow
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What is equivalent to 3x – 2y = 4?
Answer:
This equation is equal to y=3/2x-2
Step-by-step explanation:
2x to the power 2 minus 5x+6 X=-2
Answer:
=(x-2)(x-3)
Step-by-step explanation:
This is what I got. I hope this can help you.
y = (x + 1)(x - 2)
Distribution
The vertices of a triangle are A (-2, 2), B (4,10), and C (0, -2). Find the equation of the line that contains
the median through point
The equation of the line is y =________
Answer:
y = 1/2 x + 3
Step-by-step explanation:
mid point of line BC = (2, 4)
slope of the line containing median (m) = 1/2
y intercept (b)= 3
since y = mx + b
y = 1/2x + 3
The median of a triangle is the line segment joining the any of the vertex to the mid-point of the opposite side of that vertex. The equation of the median through point A is given by y = 1/2x + 3.
What is a Median ?A median of a triangle is a line segment joining one of the vertex of the triangle to the mid-point of the opposite side.
The median of an equilateral triangle also an angular bisector.
Given that,
The coordinates of A = (-2, 2)
The coordinates of B = (4, 10)
The coordinates of C = (0,-2)
Thus the coordinate mid-point of BC is given by (4+0)/2,(10-2)/2 = (2,4).
Now, to find the equation of median through A there are two points (-2,2) and (2,4).
Thus the equation of median an be written as,
(y-2)/(x+2) = (4-2)/(2-(-2))
=> y - 2 = 1/2(x+2)
=> y = 1/2(x+2) + 2
=> y = 1/2 x + 3
Hence, the equation of the line is y = 1/2 x + 3.
To know more about Median click on,
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A cylindrical can, open at the top, is to hold 200 cm3 of liquid. Find the height and radius that minimizes the amount of material needed to manufacture the can.
Answer:
h = 5.42
r = 5.42
Step-by-step explanation:
Find h with respect to r:
V = πr²h = 500
h = 500/πr²
Plug this into the surface area equation:
SA = πr² + 2πrh
= πr² + 2πr(500/πr²)
= πr² + 1000/r
Differentiate and set to 0, solve for r:
dSA/dr = 2πr - 1000/r² = 0
2πr = 1000/r²
r³ = 500/π
r = (500/π)^1/3
≈ 5.42 cm
find h:
h = 500/πr²
= 500/[π(5.42)²]
= 5.42cm
Evaluate the expression 3x for x = 7
Answer:
3(7)
the answer is 21
Step-by-step explanation:
Answer:
the answer is 21.
can someone please help im lost
Answer:
-146
Step-by-step explanation:
Step-by-step explanation:
putting the value f(-9) in expression
= -(-9)^2-7×(-9)-2
= 81+63-2
=142
Ali is cutting a pizza into serving sized sections he uses a long knife to be sure that the cuts he makes in the pizza are straight which statements are true select all that apply
Answer:
1. Ali makes three straight long cuts along the diameter of the pizza.
2. Ali makes two straight long cuts along the diameter of the pizza.
Step-by-step explanation:
Each serving size in a pizza contains consistent weight but the fraction of the pie can change depending upon the size of the pizza., size of crust, toppings, etc.
The pizza can be cut into different pie section depending upon the size of the pizza. One-sixth or one-fifth is the most common pie sections.
Ali uses a long knife to cut the pizza in a straight line. He must cut the pizza in to 8 pieces or 4 pieces so that he can be sure that the pizzas are cut in a straight line.
For 8 pieces of pizza, Ali has to make three straight long cuts across three diameters of the pizza and for 4 pieces, Ali has to make two straight long cut along the diameters.
Alguém pode me ajudar por favor???????????
Answer:
The asnwer is the first one
Step-by-step explanation:
thx for the poins
What is the perimeter of the
figure below?
2 in
9 in
2 in
11 in
Determine the slope of each equation below:
y = 3x -8
y-4 = [(x + 5)
12x + 2y = 18
Answer:
1 = 3
2 = 1 ( I assumed the equation is y-4 = [(x+5)]
3 = -6
Step-by-step explanation:
Original Price = $ 20, % Markup = 15%
Answer:
23 dollars
Step-by-step explanation:
so to figure out how much more you grab 20 and multiply by .15 as percent and you will get 3 dollars more so 23
1. Given: 3(m-2) + 14 = 38
Prove: m= 10
please help it’s a proof
Answer:
It is 10 (m=10)
Step-by-step explanation:
3 (10-2) + 14 Subtract whats in the parentheses
3 (8) + 14 Multiply 3 and 8
24 + 14 Add the remaining to get the sum ( 24 + 14 )
38 (Your total)
~~~Hope this helps~~~
Difference of Squares gives which complex factors for the expression x2 +3?
A. (x+3)(x-WB)
B. (x-3)(x-3)
C. (x+3)(x-3)?
D. (x+3)(x-31)
Step-by-step explanation:
Shortest way to solve this question is to find the factors of the given expression.
The given expression is (x² + 13).
Now we have to factorize it.
(x² + 13) = x² + (√13)²
= x² + [-(i)²√(13)²] [Since i = √(-1)]
= x² - (i√13)²
= (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-
Can someone explain how you solve proofs?
Answer:
Yeahh
Step-by-step explanation:
Write the statement in one side and give the reasons on other side.
And then proof it by accurate reason
Please help!!!
Explain and correct the error in this calculation.
Answer:
for more math help use the app called connects
Is 9 a possible solution for -2x + 4 ≥ -14?
Answer:
Yes
Step-by-step explanation:
-2(9)+4= -14 and -14 is equal to -14.
Solve : 4(4p+6)=16 find the value of p
Answer:
p=-1/2
Step-by-step explanation:
4(4p+6)=16
4p+6=4
4p=4-6
4p=-2
P=-2/4
p=-1/2