Answer:
Step-by-step explanation:
Part A)
For equation f(x) = 2x² - 5x + 3, to find x intercepts let y=0 then solve x,
2x² - 5x + 3 = 0 -> (2x + 1)(x -3) = 0 , can find x - intercepts from here
x = ____ and ____
Part B)
To find if vertex is a max or min, compare to equation y = ax² + bx +c
if a > 0 then parabola opens up and vertex is a minimum.
if a < 0 then parabola opens down and vertex is a maximum,
thus vertex is a minimum in this problem
to solve vertex set x = -b / 2a = 5 / 2(2) = 5/4
solve for y value
.... vertex is then at point ( 5/4 , y value found)
Part C)
Can plot the intercepts and vertex points
what is the equation in point-slope form of the line passing through (2,5) and (-1,8)?
Answer:
y=-1x+7
Step-by-step explanation:
What is the volume of this aquarium
Answer:
You can also divide the number of cubic inches by 231 to get the volume in gallons. For example, let's calculate the volume of a rectangular tank that is 20″ long, 12″ wide, and 10″ high.
Step-by-step explanation:
plz answer the question step by step
Answer: x = 59°, y = 114°.
Step-by-step explanation:
The sum of the opposite angles of a quadrilateral in a circle is 180°.
y = 180° - 121° = 59°
The two angles being adjacent makes a total angle of 180° on the straight line.
x = 180° - (180°-114°) = 180° - 66° = 114°
I’ll pay you if you help me
Answer: help you with what?
Step-by-step explanation:.-.
Haha. No need of money. But ask the question..
waiting..
PLS PLS HELP!!!! Write and solve an inequality to find the possible values or x if the area of the
rectangle is < 56 feet squared.
2 ft
(3x + 4) ft
Answer:
width=2 ft, length=(3x+4)ft
Area of Rectangle=width x length
=2ft . (3x+4)ft
=6x+8 ft sq
Area of Rectangle <56 ft sq
6x+8 ft sq <56 ft sq
6x < 56 ft sq - 8 ft sq
6x < 48 ft sq Substeracting 8 on both sides
6x/6 < 48 ft sq/6 Dividing by 6 on both sides
x < 8 ft sq
Step-by-step explanation:
(R/s)(3) = ? Please hurry
The time required to empty a tank varies as inversely as the rate of pumping. If a pump can empty a tank in 45 min at the rate of 600 kl/min, how long will it take the pump to empty the same tank at the rate of 1000 kl/min?
okk
Step-by-step explanation:
hii
am
Jack
from
United State
America
Answer:
27 minutes.
Step-by-step explanation:
R = k/t
Substituting given info
600 = k/45
k = 45 * 600 = 27000
So the relation is S = 27000/t
So if R = 1000
1000 = 27000/t
t = 27000/ 1000
t = 27.
What is the volume of a frustum of a right pyramid with the area of the lower base square to 100 square inches, the area of the upper base equal to 25 square inche,and the altitude equal to 12 inches
Answer:
1
Step-by-step explanation:
Find the vertex angle of the figure below B = 40 egrees
Step-by-step explanation:
it's an Equilateral triangle
the base angels are equal
A=100°
B=40°
C=40°
The required vertex angle will be 100° in the given figure.
What is an Isosceles Triangle?An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.
The triangle given in the figure is an Isosceles triangle.
It is given that side AB is equal to side AC.
So ∠B = ∠C = 40°
Now we know that the sum of angles of a triangle is equal to 180°. So here in this triangle ABC. These are the sum of these three angles will be equal to 180.
As per the given figure,
∠A + ∠B +∠C = 180°
∵ ∠B = ∠C = 40°
∠A + 40° +40° = 180°
∠A + 80° = 180°
∠A = 180° - 80°
∠A = 100°
Therefore, the required vertex angle will be 100° in the given figure.
Learn more about Isosceles Triangle here:
brainly.com/question/2456591
#SPJ5
What is the value of x?
Enter your answer in the box.
x =
Answer:
Step-by-step explanation:
The two triangles are similar and therefore we can set up a proportion
9/(9 + 72) = (3x - 20)/(3x - 20 + 56) Combine like terms on the right
9/(81) = (3x - 20)/(3x + 36) Cross multiply
9(3x + 36) = 81 (3x - 20) Remove the brackets.
27x + 324 +1620 = 243x Add 1620 to both sides
27x + 324 + 1620 = 243x Subtract 27x from both
1944 = 216x divide both sides by 216
x = 9
If you feel comfortable canceling the size of the numbers can be reduced.
9/81 = 1/9
1/9 = (3x - 20)/(3x + 36)
3x + 36 = 9(3x - 20)
3x + 36 = 27x - 180
36 + 180 = 24x
216 = 24x
216/24 = x
x = 9
There is another cancelation possible, but this is simple enough.
Vector B has x, y, and z components of 3, 7.2,
and 4.5 units, respectively.
Calculate the magnitude of B
Answer:
[tex]\approx 9.0\:\mathrm{units}[/tex]
Step-by-step explanation:
The magnitude of 3D vector [tex]\vec{v}[/tex] can be given by the following:
[tex]| \overline{v}| =\sqrt{{v_x}^2+{v_y}^2+{v_z}^2}[/tex]
Plugging in given values, we have:
[tex]| \overline{v}|=\sqrt{3^2+7.2^2+4.5^2},\\| \overline{v}| \approx \fbox{$9.0\:\mathrm{units}$}[/tex].
True or false? 3a+15b is divisible by 3 for any values of a and b.
Answer:
true
Step-by-step explanation:
its TRUE :)
Answer:
False
Step-by-step explanation:
Take a=-1 and b=-1/7
-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove
If w is 15 when z is 9, and w varies directly with z, what is the value for z when w is 5?
Answer:
3 cuh
Step-by-step explanation:
15/3 = 5 9/3= 3
Elsie bought a video game for 85$. if the store charges 170% of its cost for the game, how much is the store's profit?
Answer: $59.5
170/100 * 85 = 144.5
144.5 - 85 = 59.5
If that is wrong my next guess is $144.50
can someone help me with this?
Answer:
12
Step-by-step explanation:
51 ÷ 3 = 17
204 ÷ 17 = 12
hope this helps
Ql. What is the slope-intercept equation of the line y-intercept=(0,1), slope =3/4
Answer:
y = 3/4x + 1
Step-by-step explanation:
A: The perimeter of a rectangular garden is 376 m. If the length of the garden is 99 m, what is its width?
B: The area of a rectangular window is 7007 cm If the width of the window is 77 cm, what is his length?
Answer:
A) the width is 89
B) if area is 7007, the length is 91
Step-by-step explanation:
Answer:
A: 89 m
B: 91 m
Step-by-step explanation:
A: P=2(L+W)
P=2L+2W
P=2(99)+2W
2W=376-198=178
W=178/2=89m
B: A=L×W
7007=L×77
L=7007/77=91
L=9l m
A graph showing a proportional relationship will...
Cuatro amigos están en un equipo de baloncesto. Durante un juego, cada amigo llevaba un registro de cuántos tiros intentaron y cuántos de esos intentos hicieron. ¿Qué amigo tuvo el mejor récord en cuanto al número de disparos realizados?
Henry acerto 0.45 de sus tiros
Allison hizo 4/15 de sus tiros
Arthur acerto 8/20 de sus tiros
Trevor fallo el 58% de sus tiros
Answer:
Allison tuvo el mejor récord
Step-by-step explanation:
Is the following equation true or false? Explain your reasoning.
(x + 8)2 = x2 + 64
Answer:
False
Step-by-step explanation:
An angle measures 24º more than the measure of its complementary angle. What is the
measure of each angle?
What are the two angles please hurry
Answer:
33, 57
(not 100% sure this is correct)
Step-by-step explanation:
90= x +(24 +x)
(drag 90, plus the x's and drag the 24)
90 = 2x + 24
(Subtract 24 from 24 and 90 from 24)
66 = 2x
(Divide both by two)
33 = x
(now use x and plus it by 24)
24 + x = 57
I NEED HELP PLEASE ASAP
Answer:
Answer choice C is correct
Step-by-step explanation:
What expression is equivalent to
15n + 20r
Answer: 5(3n+4r)
Step-by-step explanation:You need to find the gcf/factor .So the gcf of 15 and 20 is 5.So know that you know the gcf ,you divide 15n by 5 which gives you 3n and divide 20r by5 which gives you 4r.Now the last thing you do is,take the GCF which is 5 and place a Parentheses and take 3n and 4r and add them together.
So you get 5(3n+4r) as your expression that is equivalent to 15n + 20r .
Hope it helps . :)
would y=x be proportional or nonproportional?
A sweater that is regularly priced at $25 is on sale for 25% off.
What is the amount of the discount?
What is the sale price?
What is the total price of the sweater including the 6.5% sales tax?
need help now plz
Answer:
Discount = 6.25
Sale Price = 18.75
6.5% tax = 1.21875
Final price = 19.96875 = 19.97
Step-by-step explanation:
25 x .25 = discount
25 - 6.25 = sale price
18.75 × 0.065 = tax
18.75 + 1.21875 = final price
If there are 4 apples for every 5 oranges, and there are 16 apples, how many fruits are there altogether?
Answer:
36
Step-by-step explanation:
4:5
16:n
16÷4=4
4×5=20
16:20
16+20=36
Answer:
36 fruits (I'm not sure, but I think it's correct)
Step-by-step explanation:
4 apples = 5 oranges
16 apples = ? oranges
4 x ? = 16
4 x 4 = 16
5 x 4 = 20
4 apples = 5 oranges
16 apples = 20 oranges
16 + 20 = 36 fruits
Maria correctly answered 16 of the 20 questions. What fraction of the questions did she answer correctly?
Use the line of best fit to determine the y-value when the x-value is 7.
A. 25
B. 37
C.53
D.42
Answer:
53
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
PLZ HELP Write an algebraic expression for the following phrase. the product of five and k
Answer:
5k
Step-by-step explanation:
Addie increased the amount of chocolate chips she used for the cookie recipe by 45%. The original recipe used 28 ounces of chocolate chips. How many ounces of chocolate chips will Addie use for her recipe?
Answer:
10%of 28=2.8
40%=2.8 ×4=11.2
5%(half of 10%)=1.4
then you add 40%and 5% which is 11.2+1.4=12.6
(on a calculator you can work percentage by doing 45 percentage button×the amount)
then you add 28 ounces(original)+(increase) which is 12.6=
40.6
Addie will use 40.6 ounces of chocolate for her recipe
Answer:
Step-by-step explanation:
10%of 28=2.8
40%=2.8 ×4=11.2
5%(half of 10%)=1.4
then you add 40%and 5% which is 11.2+1.4=12.6
(on a calculator you can work percentage by doing 45 percentage button×the amount)
then you add 28 ounces(original)+(increase) which is 12.6=
40.6
Addie will use 40.6 ounces of chocolate for her recipe