Answer:
x - intercepts: (4,0) and (-2,0)
vertex: (1/2 , - 17/2)
Step-by-step explanation:
Part A
To find the x-intercepts you have to set y=0
(x-4) (x+2) = 0
Separate the parenthesis. Solve for x
x-4 = 0
x= 4
x+2 = 0
x= -2
x - intercepts: (4,0) and (-2,0)
-------------------------------------------------
Part B
vertex formula for the x: coordinate : -b/2a
Expand the function.
y = 2x^2-2x-8
a = 2
b = -2
c= -8
-b/2a = -(-2)/2(2) = 1/2
vertex x- coordinate: 1/2
Substitute 1/2 back into every "x" in the function to find the "Y" for the vertex.
y = 2(1/2)^2 -2(1/2) -8
y = -17/2
vertex: (1/2 , - 17/2)
Sami has a set of cards. When she separates the cards into groups of 19, she has 36 groups of cards. How many groups of cards would Sami have if she separated them into groups of 12 instead?
Answer:
57 groups
Step-by-step explanation:
36*19=684
684÷12=57
Raisins were $700 for a measure, where as plums cost $900 a measure. David and Bruce
bought 50 measures and spent $41,000. How many measures of raisins did they
buy
Answer:
20 measures of raisins
Step-by-step explanation:
700 r + 900 p = 41000 ...... (1)
r + p = 50 ⇒ p = 50 - r ....... (2)
(2) ------> (1)
700 r + 900( 50 - r ) = 41 000
700 r - 900 r = 41000 - 45000
- 200 r = - 4000
r = 20 measures
7. Points A, B, and L are coplanar.
8.JL lies on plane K.
9.DF intersects AC.
10.Points D F and E are collinear
Answer:
a
Step-by-step explanation:
axhhdhhdlwsk
(m+n)¹⁰; The 6th term will contain m?n?
Answer:
252.m^5.n^5
Step-by-step explanation:
Ohio City Burgers charges $6.75 for a
burger plus $.75 for each additional
topping.
Write an equation to determine
how many toppings you can get
with a total of $10.
Answer: x = (10 - 6.75) ÷ 0.75
Step-by-step explanation:
x stands for the maximum number of toppings you can afford.
10 stands for the amount of money you have (10$).
6.75 is the amount of money spent on the Burger alone.
0.75 is the money spent on each topping with your remaining money.
-1/2-(-5/9) with explanation!
Answer:
8/9
Step-by-step explanation:
-1/2-(-5/9)
solution.
-2-(-5/9)
3/9 + 5/9
5+3/9
ans=8/9
Find the slope of the line that passes through (5, 18) and (9, 9)
The question gives us two points, (5, 18) and (9, 9), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (18 - 9) ÷ (5 - 9)
= - ⁹/₄
Checking my answer:
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 9 = - ⁹/₄ (x - 9)
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
is the value of 2a+3b Prime or composite when a=11 & b=7
Answer:
Prime
Step-by-step explanation:
1. Let's plug in the values of a and b then simplify.
[tex]2(11)+3(7)[/tex] [tex]22+21[/tex] [tex]43[/tex]2. Okay, now let's find the factors of 43:
1, 433. Since 43 has the factors of only 1 and itself, it's prime.
Amy cut 32 feet of chain into pieces that were each ft long. How many of these pieces did Amy have after cutting the chain?
Pls help! If you want brainly list please explain pls and ty!
Answer:
f(x) = -19
g(x) = -10
Step-by-step explanation:
just substitute.
-4(2)^2-3 = -19
-3(4)+2 = -10
Answer:
f(2) = -19
g(4) = -10
Step-by-step explanation:
f(x) = -4x² - 3 g(x)) = -3x + 2
Find f(2)
Technically, we input 2 for x in the function f(x)
Solve:
f(2) = -4(2)² - 3
f(2) = -4(4) - 3
f(2) = -16 - 3
f(2) = -19
Find g(4)
As before, we input 4 for x in the function g(x)
Solve:
g(4) = -3(4) + 2
g(4) = -12 + 2
g(4) = -10
-Chetan K
At a particular restaurant, each slider has 225 calories and each chicken wing has 70 calories. A combination meal with sliders and chicken wings has a total of 7 sliders and chicken wings altogether and contains 1110 calories. Write a system of equations that could be used to determine the number of sliders in the combination meal and the number of chicken wings in the combination meal.
Answer:
The appropriate equation for the above mentioned conditon would be
x+y=7
225x+70y=1110
Step-by-step explanation:
As mentioned in the question the meals contain just two delicacies (i.e. sliders and chicken wings)
Let the number of Sliders be represented by “x”
Let Number of Chicken wings be represented as “y”
As given in the question the total number of sliders and chicken wings equals 7
Hence x + y =7… Equation 1
Further, it is mentioned that each slider carries worth 225 calories of energy and chicken wing carries 70 calories of energy. Total calorie of a meal which contains sliders and wings is 1110 calories.
Thus, Total energy carried by sliders individually = total sliders* energy carried by one slider= 225x
Similarly, Total energy carried by wings individually = total chicken wings* energy carried by one wing= 70y
Thus 225x+70y=1110
Evaluate using suitable identity:
e). 102 × 98
Step-by-step explanation:
★ Solution :-[tex]\sf \longmapsto 102 \times 98[/tex]
[tex]\sf \longmapsto (a + b)(a - b) = a^2 - b^2[/tex]
Here,
a = 100b = 2[tex]\sf \longmapsto (100 + 2)(100 - 2) = 100^2 - 2^2[/tex]
[tex]\sf \longmapsto 100^2 - 2^2[/tex]
[tex]\sf \longmapsto 10000 - 4[/tex]
[tex]\sf \longmapsto 9996[/tex]
Answer:
9996
Step-by-step explanation:
Algebraic Identity: (a-b)(a+b)=a²-b²
102×98=(100+2)(100-2)
=100²-2²
=10000-4
=9996
Please help!!!!!!!!!!!!!!!!!!!!
4.445+3.252=
pake caranya ya tolong ya
Answer:
4.445 + 3.252 = 7.697
Step-by-step explanation:
What is the solution to the system of equations
Answer:
Step-by-step explanation:
line A
0,4 and 1,6
gradient = y2-y1/x2-x1
6-4/1-0
=2
it starts at y=4
put that into equation =2x+4
line B
0,12 and 3,10
gradient
10-12/3-0
=-2/3
it starts at y=12
put that into equation=-2/3x+12
44 divided by 469 is what
Answer:
0.09381663113
Step-by-step explanation:
please answer and explain asap
Answer:
5.2=x
5=y
4x+y=25.8
Step-by-step explanation:
180-94=86
86=15x+8
78=15x
5.2=x
180-94=86
86=17y+1
85=17y
5=y
4x+y=
4(5.2)+5=25.8
plz help me with 13-16
Answer:
13) [tex]x = 10[/tex]
14) [tex]x = 22[/tex]
15) [tex]x = 12[/tex]
16) [tex]x = -15[/tex]
Step-by-step explanation:
13) [tex]4x+5x=9x;90/9=10[/tex]
14) [tex]45-1=44;44/2=22[/tex]
15) [tex]37-1=36;36/3=12[/tex]
16) [tex]-54+26=-28;x-28=3x+2;x=-15[/tex]
Which statement about rational numbers is true?
A. All rational numbers are fractions.
B. Rational numbers never have repeating decimals.
C. Some integers are not rational numbers.
D. All fractions containing integers are rational numbers.
Answer:
A
Step-by-step explanation: Because they can be written as a decimal
What’s the answer to this
Answer:
[tex]x = 2 \\y = 3[/tex]
Step-by-step explanation:
Type a digit that makes this statement true.
936,44_
is divisible by 10.
Answer:
0
Step-by-step explanation:
Any number that ends with a zero is divisible by ten
Your camera determines the focal distance required for your picture to be in focus using the lens equation, 1−1=1, where the focal distance to the object from the lens(D)is related to the focal length (F)and the distance from the lens to the film (S).If an object is placed 8 cm from a lens with a focal length of 4 cm, how far from the lens is the image (film) formed?
If an object is placed 8 cm from a lens with a focal length of 4 cm, the image is 8 cm from the lens
Let the focal length be represented by f
Let the distance between the object and the lens be represented by u
Let the distance between the image and the lens be v
The focal length, f = 4 cm
The distance between the object and the lens, u = 8cm
The distance between the image and the lens, v = ?
The relationship between the focal length (f), distance between the object and the lens (u), and the distance between the image and the lens (v) is given below:
[tex]\frac{1}{u} + \frac{1}{v} = \frac{1}{f}[/tex]
Substitute f = 4, and u = 8 into the equation above:
[tex]\frac{1}{8} + \frac{1}{v} = \frac{1}{4} \\\\\frac{1}{v} = \frac{1}{4} - \frac{1}{8}\\\\\frac{1}{v} = \frac{2-1}{8}\\\\\frac{1}{v} = \frac{1}{8}\\\\v = 8[/tex]
Therefore, the image is 8 cm from the lens
Learn more here: https://brainly.com/question/19146043
will mark brainliest answer
Answer:
1/2
Step-by-step explanation:
hope it helps :)
I need the answers noww plz
all of them plzzz
Answer:
1.
a. 70
b.40
c.130
d.130
e.95
f.115
2.
a.102
b.40
c.80
Hope it helps .
plz mark me brainest and follow me to get the answer faster.
Step-by-step explanation:
1.
a. Isosceles right triangle
a° = 180 - (90 + 20)
a° = 180 - 110 = 70
b. Isosceles acute triangle
a° = 180 - (70+70)
a° = 180 - 140 = 40
c. The three angles inside a triangle always add up to 180°
∠A = 180 - (70 + 60)
∠A = 180 - 130
∠A = 50
so a° = 180 - 50 = 130
d. Isosceles acute triangle
∠A = 180 - (65 + 65)
∠A = 180 - 130
∠A = 50
so a° = 180 - 50 = 130
e. The angles of a rectangle add up to 360°
a° = 360 - (100 + 95 + 70)
a° = 360 - 265
a° = 95
f. The angles of a rectangle add up to 360°
2a° = 360 - (70 + 60)
2a° = 360 - 130
2a° = 230
a° = 115
2.
a. Straight angle is 180°
180 - 141 = 39
so x° = 180 - (39 + 39)
x° = 180 - 78
x° = 102
b. The three angles inside a triangle always add up to 180°
180 - (40 + 60)
180 - 100 = 80
opposite angle
x° = 180 - (80 + 35)
x° = 180 - 115 = 65
c. The angles of a rectangle add up to 360°
(x + 20)° + x° = 360 - (90 + 90)
(x + 20)° + x° = 360 - 180
(x + 20)° + x° = 180
x° = 80
please give me a brainliest answer
Olivia wants to clean her mansion, so she decides to hire a cleaning company. Company Fabuloso charges an initial hiring fee of $50 plus $30 per hour. Company Clorox charges an initial fee of $70 plus $25 per hour. After how many hours will it cost the same for both companies?
Answer:
4hrs
Step-by-step explanation:
Fabuloso charges = 50 + 30x = 80
Clorux charges = 70+25x = 95
£15 difference =( 3 * 5 ) = 30-25 = 5 = 15/3
= 3hrs + 1st hour = 4hrs
Fabuloso charges = 50 + 30(4) = 80+90 = $170
Clorux charges = 70+25(4) = 95 + 75=$170
= 4hrs
Solve S= lw + wh+ lh for h. Hint: Use the distributive property to factor out h.
the
vcloc
Answer:
[tex]{ \rm{S = lw + wh + lh}}[/tex]
• Group the h terms by organised term arrangement :
[tex]{ \rm{S = (wh + lh) + lw}}[/tex]
• Then using distributive property, factorise out the value h so that the reverse is true.
[tex]{ \rm{S = h(w + l) + lw}}[/tex]
• for the variable "lw", divide it by h in order to add it to the bracket of (w + l). Make sure the reverse is true:
[tex]{ \rm{S = h(w + l) + h( \frac{lw}{h} )}} \\ [/tex]
• finally, completely factorise out the value h
[tex] \hookrightarrow \: \: { \boxed{ \boxed { \rm{ \: \: S = h(w + l + \frac{lw}{h} ) \: \: }}}}[/tex]
how many 3\4 are in 1
Answer:
1
Step-by-step explanation:
There is only 1/4 left. 3/4 + 1/4 = 1
18 less than 5 times a number is 52. What is the number?
Answer:
14
Step-by-step explanation:
5x-18=52
Add 18 to both sides
5x = 70
Divide 5 to both sides
x = 14
The required number is 14.
Let's solve the problem step by step:
Let's assume the number is "x."
"5 times a number" can be expressed as 5x.
"18 less than 5 times a number" can be written as 5x - 18.
According to the problem, "18 less than 5 times a number is 52." So we can write the equation:
5x - 18 = 52
Now, let's solve the equation to find the value of x:
Add 18 to both sides of the equation:
5x - 18 + 18 = 52 + 18
5x = 70
Divide both sides of the equation by 5:
(5x)/5 = 70/5
x = 14
Therefore, the number is 14.
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0.1 is 1/10 of what??///
Answer:
0.1 is 1/10 of 1as 1 divided by 10 is 0.1so the answer is 1 hope this helps
Step-by-step explanation:
Please help, you just find the answer and follow the arrow that the answer was on and continue until you reach the finish block.
Answer:
i cant see the question do u mind stating it?