Answer:
the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x)
Step-by-step explanation:
The vertex form of a quadratic equation is y = a(x - h)^2 + k. (h, k) represents the vertex.
Comparing the given f(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = 2.
Comparing the given g(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = -5.
Thus, the x-coordinates of the vertex in both cases are the same: 1. The y-coordinates differ: for f(x), k = 2. and for g(x), k = -5.
Changing the k value translates the graph up or down.
In this case we see that the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x).
Ariana rode the bus 5 3/8 miles to the mall. Then she got back on the bus and ride 2 3/4 miles to her friends house and then another 6 1/12 miles back to her house. What is the total distance, in miles that ariana rode the bus
Answer:
14 5/24
Step-by-step explanation:
Ariana's rode the bus 5 3/8 miles to the mall
She rode 2 3/4 miles to her friends place
Then she rode anrhe 6 1/12 miles back home
Therefore the total distance can be calculated as follows
= 43/8 +11/4 + 73/12
= 5456/384
= 341/24
= 14 5/24
Hence the total distance is 14 5/24 miles
I WILL VOTE BRAINLIEST, HELP PLS
Eliminate the x in the following system of equations. What is the result when you add the two equations?
Answer: -7y = 21
explanation:
x+y=2;3x−4y=27
Step: Solve x+y=2 for x:
x+y+−y=2+−y (Add -y to both sides)
x=−y+2
Step: Substitute −y+2 for x in 3x−4y=27:
3x−4y=27
3(−y+2)−4y=27
−7y+6=27 (Simplify both sides of the equation)
−7y+6+−6=27+−6 (Add -6 to both sides)
−7y=21 (answer)
first option
manipulate line 1 to
x = 2 - y
then substitute x in line to for the righthand side above
then solve towards y.
What are the real and imaginary parts of z? Z = 20i+26
Answer:
Imaginary: 20i
Real: 26
Step-by-step explanation:
Hope this helped.
Question 13 (1 point)
Hans is jumping on a trampoline. His distance from the ground, in metres, in terms of time, is modelled by the
equation () - 1.5 sm(360s)" + 2. What does the 2 in this equation represent?
Solve
pls help this question bamboozles me and I am now sitting here confused
Answer:
10+3pi
Step-by-step explanation:
The perimeter of of the shaded region is
AC+CT+marcSBT+SA
*Finding AC
The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.
*Finding CT
CT=RT-RC where RC is the width of the rectangle
Also RT is a radius so we have that
CT=6-RC
*Finding marcSBT
The circumference of a whole circle is 2pi*r.
We have a quarter of this with r=6.
1/4*2pi(6)
1/4*12pi
3pi
*Finding SA
SA=RS-AR
RS is a radius of the circle and AR is the length of the rectangle.
So we have that this can be rewritten as
SA=6-AR
Let's put these parts together:
6+6-RC+3pi+6-AR
Simplifying:
18-RC-AR+3pi
18-(RC+AR)+3pi
18-8+3pi (Remember length plus width equal 8)
10+3pi
Solve for x
-5x = -10
O x= -2
O x = 50
O x= 2
Answer:
x = -2
When we multiply a negative number with a positive number the answer is always negative.
Hope it helps:)
Need help with operations with polynomials!!!!
Answer:
Step-by-step explanation:
Need help on this question asap please
Answer:
3rd choice
Step-by-step explanation:
Similar triangles have congruent angles and proportional sides
They look similar but size may vary
What is the sum of 15 – 6i and –2 + 9i?
Answer:
13 + 3i
Step-by-step explanation:
I just used a app for this problem.
Answer:
[tex]13 + 3i[/tex] is the sum of the numbers
Step-by-step explanation:
[tex]13 + 3i[/tex]
[tex]15 - 6i - 2 + 9i[/tex] → Sum
collect like terms
[tex](15 - 2) + ( - 6i + 9i) =13 + 3i[/tex]
75 mm
a
60 mm
What is the length of the missing leg?
Answer:
a = 45 millimeters
Step-by-step explanation:
In order to solve this, we need to know that for right-angled triangles the following is true:
[tex]c^{2} = a^{2} + b^{2}[/tex] (where c is the hypotenuse and "a" and "b" are the legs)
From the formula above we can conlude that...
[tex]a = \sqrt{c^{2} - b^{2} }[/tex]
Now we just substitute the variable that we know and get that...
[tex]a = \sqrt{c^{2} - b^{2} }\\a = \sqrt{75^{2} - 60^{2} } \\a = \sqrt{5,625 - 3600} \\a = \sqrt{2025} \\a = 45[/tex]
Therefore a = 45millimeters.
SOMEONE, PLEASE HELP
Use the quadratic model P(x) = 25x² − 24x + 615 to predict P(x) if x equals 8.
Answer:
2,023
Step-by-step explanation:
P(8) = 25(8)²-24(8)+615
= 1600- 192 +615
= 2,023
Help pleasee
Qn is attached belowww
PLEASE HELPP
Answer:
QR = 65.4 m
Step-by-step explanation:
a. Apply Law of Cosines to find QR:
p² = q² + r² - 2qr × Cos P
p = QR = ?
q = PR = 150 m
r = PQ = 120 m
P = 25°
Plug in the values
p² = 150² + 120² - (2)(150)(120) × Cos(25°)
p² = 22,500 + 14,400 - 36,000 × 0.9063
p² = 36,900 - 32,626.8
p² = 4,273.2
p = √4,273.2
p ≈ 65.4 m (nearest tenth)
QR = 65.4 m
s the following relation a function?
x y
−1 −2
2 3
3 1
6 −2
Answer:
can u plz rewrite the question
х =
•100
•120
•140
Answer:
i just don't known
Step-by-step explanation:
1.20
what is the result of isolating y^2 in the equation below (x+6)^2+y^2=1
Answer:
(x+6)^2 + y^2 = 1 then isolate y^2 by subtracting (x +6)^2 from both sides, we get
y^2 = 1 - (x + 6)^2
expanding the right side, we now have
y^2 = 1-(x^2 + 12x +36)
y^2 = 1-x^2-12x -36
y^2 = -x^2 -12x - 35 therefore the solution is choice A
Step-by-step explanation:
Marcus' 2018 federal tax payment was $5,350. This payment was ⅕ of his 2018 annual salary. What is his 2018 annual salary?
Answer:
$26750
Step-by-step explanation:
1/5 * (total salary) = 5350
So, 5*5350 = total salary = 26750
What is the value of Y when the value of X is one?
Answer:
….
Step-by-step explanation:
You will need an image for that!
The following sequence has first five terms as: -20, -17, -14, -11, -8, .......... Find an expression for the nth term of the sequence
Answer:
a(n) = -20 + 3(n - 1)
Step-by-step explanation:
a(n) = -20 + 3(n - 1)
The height of a cuboid is45mm ,the end face is a square.The volumeof the cuboid is 162cm^3.Calculate the surface area
Answer: [tex]180\ cm^2[/tex]
Step-by-step explanation:
Given
Height of a cuboid [tex]h=45\ mm[/tex]
Volume of the cuboid is [tex]V=162\ cm^3[/tex]
End faces are square. So, assume its length to be x
[tex]\therefore x^2\times h=162\\\Rightarrow x^2\times 4.5=162\\\Rightarrow x^2=36\\\Rightarrow x=6\ cm[/tex]
Surface area of cuboid
[tex]\Rightarrow 2(lb+bh+hl)=2(6\times 6+6\times 4.5+4.5\times 6)\\\Rightarrow 2(36+27+27)\\\Rightarrow 180\ cm^2[/tex]
Which function has the same range as
f(x)=-2 Sqrt X-3 +8?
g(x)= VX-3-8
g(x) = VX-3+8
g(x)=- Vx+3+8
g(x)=√x-3-8
Answer:
C
Step-by-step explanation:
The option that has the same range than f(x) is:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
What is the range of the given function?
Here we first have the function:
[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]
Remember that the square root only can be evaluated arguments equal or larger than zero.
So the minimum value of x that we can use is x = 3.
[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]
And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.
Which other function has the same range?So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.
The option that meets these two conditions is the third one:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
If you want to learn more about domains and ranges, you can read:
https://brainly.com/question/10197594
A cube has square sides with area x2 +24x + 144. What expression represents the surface area of the cube?
Given:
A cube has square sides with area [tex]x^2+24x+144[/tex].
To find:
The expression that represents the surface area of the cube.
Solution:
We have
The area of each side of cube = [tex]x^2+24x+144[/tex]
Number of sides of a cube = 6
We know that, the total surface area of the cube is the product of number of sides of the cube and the area of each side. So, the total surface area of the cube is
[tex]SA=6(x^2+24x+144)[/tex]
[tex]SA=6(x^2)+6(24x)+6(144)[/tex]
[tex]SA=6x^2+144x+864[/tex]
Hence, the expression that represents the surface area of the cube is [tex]6x^2+144x+864[/tex].
what is the current world record for solving a rubiks cube 3x3
Need help with this question
Answer:
C
Step-by-step explanation:
In a right triangle, the side opposite the right angle is the largest side as the right angle represents the largest angle in the triangle. Therefore, as 17.5 is opposite the right angle, we can say that AB²+10²=17.5², and √(17.5²-10²)=AB = 14.4
Using sohcahtoa, we can establish that
sin(∠C) = opposite/hypotenuse = 14.4/17.5, and
arcsin(14.4/17.5) = ∠C = 55°
Because the angles in a right triangle add up to 180 degrees, we can say that ∠A+∠B+∠C = 180°, so ∠A + 90 + 55 = 180 and ∠A = 35°
Katie walked a total of 68 kilometers by making 34 trips to school. How many trips will Katie have to make in all to walk a total of 348 kilometers? Solve using unit rates.
Find the distance of each trip:
68 km / 34 trips = 2 km per trip
Divide total distance by distance per trip:
348 km / 2 km per trip = 174 trips
Answer: 174 trips
How much is 3 lbs of gold worth I’m American money
Answer:
$1865
The gold calculator is a gold melt value calculator which can be used to determine the value of gold metal inside an item with a known weight and gold purity. These items may include gold jewelry (such as, bangles, bracelets, chains, earrings, necklaces, pendants, and rings), gold bullion and gold coins.
The gold calculator is designed to calculate the gold metal value for one item at a time. If you would like to calculate the gold metal value for multiple items simultaneously consider using the scrap gold calculator for scrap gold, the gold bullion calculator for gold bullion bars and coins, and the gold coin calculator for gold coins.
What is the value of x, given that PQ BC
I need help can’t figure this out :/
The table represents Joel's earnings
fordelivering papers. How much does
Joelearnperpaper? Show yourwork. Please help me I’ll give brainliest
Answer:
She earns $0.65 per paper
Step-by-step explanation:
1. She earns $3.90 per 6 papers
2. take $3.90 and divide by 6.
3. you will get the cost per paper.
4. to check the work if you'd like then take 7.80 and divide it by 12 and again you will get $0.65 per paper.
(you don't need to find a special calculator you can use one on your phone since each dollar has 100 cents so you just need to go out to the hundredths place in a decimal or the second decimal place)
if p(x) = 3(x^2-2)+12 what is the value of p(10)?
Answer:
p(10) = 306
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
p(x) = 3(x² - 2) + 12
p(10) is x = 10 for function p(x)
Step 2: Evaluate
Substitute in x [Function p(x)]: p(10) = 3(10² - 2) + 12(Parenthesis) Evaluate exponents: p(10) = 3(100 - 2) + 12(Parenthesis) Subtract: p(10) = 3(98) + 12Multiply: p(10) = 294 + 12Add: p(10) = 306WXYZ is a rhombus. Find the measurements using what you know about the properties of a rhombus.
WZ=4cm
Answer:
See below.
Step-by-step explanation:
In a rhombus, all sides are congruent.
In a rhombus, opposite angles are congruent, and consecutive angles are supplementary.
XW = 4 cm
WZ = 4 cm
ZY = 4 cm
YX = 4 cm
m<X = 100 deg
m<Z = 100 deg
m<W = 80 deg
m<Y = 80 deg
4.26
[tex]12 \times 0.4 = 4.8 \\ [/tex]
Completing the Square
Guided Practice
Solve the equation by completing the square. If necessary, round to the nearest hundredth.
2x2 - 10x - 20 = 8
A. 91/4, — 71/4
B. 7
C.7, -2