Answer:
x = 2
Step-by-step explanation:
The axis of symmetry is a vertical line passing through the vertex, with equation
x = c ( c is the x- coordinate of the vertex ) , then
x = 2 ← equation of axis of symmetry
Answer:
x=2
Step-by-step explanation:
To find the axis of symmetry for a quadratic, you use the formula:
[tex]x=-2ba[/tex]
Looking at the chart, we can see that [tex]b=-1[/tex] (the vertical shift) and [tex]a=1[/tex] (the slope. Plugging these values into the formula, we get:
[tex]x=-2(-1)(1)=2[/tex]
Therefore, [tex]x=2[/tex] is the axis of symmetry.
The much simpler way of determining this, however, is simply looking at the graph and finding where the vertex is. It is given here that the vertex point is (2, -1) and the graph is mirrored horizontally so you can simply take the x-coordinate and that will be the axis of symmetry. If the parabola was mirrored vertically, the axis of symmetry would then be the y-coordinate of the vertex.
7th grade math help me pleaseeee
Answer:
The lower left one.
Step-by-step explanation:
If you expand and rearrange it, you will find out both of its constant cancel out, and leave you with 3w=3w. So w have infinite number of solutions.
Answer:
[tex]6(\frac{1}{2} w-1)=3(w-2)[/tex]
Step-by-step explanation:
[tex]6(\frac{1}{2} w-1)=3(w-2)[/tex] (Isolate parentheses)
[tex]3w-6=3w-6[/tex] (Add six to both sides to isolate one variable w)
[tex]3w=3w[/tex] (Divide by three to isolate variable w)
[tex]w=w[/tex]
Because we got [tex]w=w[/tex], that means that any number you put in for w will still get you the same answer, or "infinite answers." If you try, say 5, you would still get the same answer if you put in 9. It has infinite answers.
I hope this helped :)
A parabola intersects the x- axis at x=3 and x=9
Step-by-step explanation:
To find the equation of a parabola we need to have 3 points. The intercept of the X axis is the X intercept. The definition of an intercept is when the other value is equal to zero. (3,0) and (9,0)
There appears to not be enough points to answer your question. we also need a vertex
Which expression is equivalent to the following complex fraction?
3
-4
x-1
2.
X-1
2-
0
2(X-2)
-4X+7
-4X+7 D.
2(X-2)
4x+7
2(x2-2)
2(x2-2)
4x+7
Answer:
[tex]\frac{-4x+7}{2(x-2)}[/tex]
Step-by-step explanation:
[tex]For x \neq 1 \\\frac{\frac{3}{x-1}-4}{2-\frac{2}{x-1}}=\frac{\frac{3}{x-1}-\frac{4x-4}{x-1}}{\frac{2x-2}{x-1}-\frac{2}{x-1}}=\frac{\frac{-4x+7}{x-1}}{\frac{2x-4}{x-1}}=\frac{-4x+7}{2(x-2)}[/tex]
The equivalent expression is 2(x - 2) / (-4x + 7).
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To simplify the given expression:
[3/(x - 1) - 4] / [2 - 2/(x - 1)]
We need to find a common denominator for the two fractions in the numerator and denominator of the main fraction.
The common denominator for the numerator is (x - 1) and for the denominator is 2(x - 1).
We can then rewrite the expression as:
[3 - 4(x - 1)/(x - 1)] / [2(x - 1) - 2/(x - 1)]
Simplifying the numerator by distributing the -4:
(3 - 4x + 4) / (x - 1)
(-4x + 7) / (x - 1)
Now, simplifying the denominator by finding a common denominator:
2(x - 1) - 2/(x - 1)
= (2x - 2 - 2)/(x - 1)
= 2(x - 2)/(x - 1)
Substituting back into the original expression, we get:
(-4x + 7)/(x - 1) / [2(x - 2)/(x - 1)]
Multiplying by the reciprocal of the denominator:
(-4x + 7)/(x - 1) x (x - 1)/[2(x - 2)]
(-4x + 7)/[2(x - 2)]
Therefore,
The equivalent expression is 2(x - 2) / (-4x + 7).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
A pet store has 115 fish that need to be placed into fish tanks. Each tank can hold 6 fish. How many tanks does the store need for the fish?
Answer:19
Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank
What is the area of a circle that has a diameter of 16in? A: 50.24 square inches B: 803.84 square inches C: 200.96 square inches D: 25.12 square inches
Answer:
A = 200.96 in² (Answer C)
Step-by-step explanation:
The formula for the area of a circle of radius (not diameter) is A = πr².
Here the diameter is 16 in, so the radius is half that, or 8 in.
Then the area of the circle in question is
A = π(8 in)² = 64π in²
If tis is evaluated, we get A = 200.96 in² (Answer C)
I need help solving these problems
Answer:
question one:
x = 6.018150231520483
adjacent angle = 7.986355100472928
Step-by-step explanation:
i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations
it automaticly does sin, cos, and tan for you.
APQR and ARST are shown.
S
R
R
Р
+
H
440
T
What is m TSR?
mZTSR = [1]
Answer:
∠ RST = 68°
Step-by-step explanation:
Since RT = ST then the triangle is isosceles with 2 base angles congruent
∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°
18 km
12 km
20 km
or
14 km
Answer:
20 km
Step-by-step explanation:
Circumference is given by
C = pi*d
20 pi = pi *d
Divide each side by pi
20 =d
I dkabouthtisoneiuisrhihurg
The amount of taxes on a chair was $3.60 the text is the tax rate was 5% find the original price of the chair??
Answer:
Original Price = $72.
Step-by-step explanation:
You first need to know that $3.60 is 5% of the original price.
Then you need to multiply by 20, because 100/5 is 20, meaning that the price multiplied is $72.
The answer is $72.
Which transformation is not isometric?
Need help ASAP !!!!!
Answer:
Option A is correct answer
hear is explaination
[tex]\longrightarrow{\blue{a.\:90}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] - 3xy[/tex]
Plugging in the values "[tex]x = 5[/tex]" and "[tex] y = -6[/tex]", we have
[tex] = - 3(5)( - 6)[/tex]
[tex] = - 3( - 30)[/tex]
[tex] = 90[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
find x pls n ty!4?2!<3
Answer:
x = 8
Step-by-step explanation:
A² + B² = C²
x² + 15² = 17²
x² + 225 = 289
x² = 289 - 225
x² = 64
x = [tex]\sqrt{64}[/tex]
x = 8
Hope this helps!
Given the equation sqrt(x+1)+3=0, explain how to and solve this equation. Is the solution extraneous? Explain
√(x + 1) + 3 = 0 ==> √(x + 1) = -3
has no real solutions, since the square root cannot be a negative number. But if we were to ignore that for the moment, one might try taking the square of both sides, which gives
(√(x + 1))² = (-3)² ==> x + 1 = 9 ==> x = 8
But this is not a valid solution, since
√(8 + 1) = √9 = 3 ≠ -3
While -3 is a square root of 9, we had started off with the *positive* square root of x + 1.
The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below:
Step 1: 2(y + 4) = 4y
Step 2: 2y + 6 = 4y
Step 3: 2y = 6
Step 4: y = 3
Which of the following explains how to correct Step 2 and shows the correct value of y?
1. The equation should be y + 4 = 4y after division by 2; y = 5
2. The equation should be y + 4 = 4y after division by 2; y = 2
3. 2 should be distributed as 2y + 8; y = 4
4. 2 should be distributed as 2y + 8; y = 2
Answer:
3; y=4
Step-by-step explanation:
2 should be distributed as 2y + 8; y = 4
2(y +4) = 4y
2y + 8 = 4y
8 = 2y
y = 4
A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160 cubic centimeters of concrete mix?
Answer: [tex]100\ cm^3[/tex]
Step-by-step explanation:
Given
The ratio of mixture of sand and cement is 5:3
If the total volume of mixture is [tex]160\ cm^3[/tex]
Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.
[tex]\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3[/tex]
Sand [tex]5x=5\times 20=100\ cm^3[/tex]
So, there is [tex]100\ cm^3[/tex] of sand in the mixture
Complete the table to show a proportional relationship,
Write the constant of proportionality, Number of Yoga Classes
Cost (5)
constant of proportionality
Answer:
Step-by-step explanation:
constant of proportionality : 60/4 = 15
Number : 2
Cost : 15 * 2 = $30
Number 6
Cost = 15 * 6 = $90
Number 8
Cost = 15 * 8 = $120
What is the perimeter in terms of x, of the rectangle shown here (x^2+7x-9) (3x^2-2x)
Given:
Consider the dimensions of the rectangle are [tex](x^2+7x-9)[/tex] and [tex](3x^2-2x)[/tex].
To find:
The perimeter in terms of x, of the rectangle.
Solution:
Let the length of the rectangle be [tex](x^2+7x-9)[/tex] and the width of the rectangle is [tex](3x^2-2x)[/tex] units.
The perimeter of a rectangle is:
[tex]P=2(l+w)[/tex]
Where, l is the length and w is the width of the rectangle.
Substituting [tex]l=(x^2+7x-9)[/tex] and [tex]w=(3x^2-2x)[/tex] in the above formula, we get
[tex]P=2((x^2+7x-9)+(3x^2-2x))[/tex]
[tex]P=2(4x^2+5x-9)[/tex]
[tex]P=2(4x^2)+2(5x)+2(-9)[/tex]
[tex]P=8x^2+10x-18[/tex]
Therefore, the perimeter of the rectangle is [tex]8x^2+10x-18[/tex] units.
help ASAP Please show working
Answer:
(a) -1
(b) -2
Step-by-step explanation:
(a) Replace the a's with 1 and the b's with 3 to get 1*3 = 1-3+1 = -1
(b) We already figured out that (1*3) equals -1 so we just need to find -1*2. Using same strategy as part a, replace a and b with -1 and two, respectively. -1*2 = -1-2+1= -2. Hope this helps and sorry if I made a mistake. :)
use the function below to find F(3).
F(x) = 4(1/3)^x
Answer:
4/27
Step-by-step explanation:
F(x) = 4(1/3)^x
Let x =3
F(3) = 4(1/3)^3
Exponents first
F(3) = 4 * 1/27
Then multiply
f(3) = 4/27
Answer:
4/27
Step-by-step explanation:
f(x) = 4(1/3)^x
f(3) = 4(1/3)^3
f(3) = 4(1/27)
f(3) = 4/27
hope that helps
Solve for x.
Please helppp
Answer:
x = 23
Step-by-step explanation:
2x + 19 + 5x = 180
I say this because it is an angle that is equivalent to the one adjacent to 2x+19, which is on a straight line. That means it is equal to 180.
7x + 19 = 180
180 - 19 = 7x
161/7 = x
x = 23
Step-by-step explanation:
5x+2x+19=180
7x+19=180
7x=180-19
7x=161
x=161/7
x=23
if u want more ans
5x
5×23
115
2x+19
2×23+19
65
hope it helps
find the sum of this infinite geometric series.
HELP!!
What is the surface area of a cube in which each face of the cube has an area of 7 cm^2?
Answer:
In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters. The surface area of a 7 cm cube will be 294 cm2 . Hope this helps!
A furnace was originally priced at $907.07 but went on sale for 33% off. If Omar bought the furnace and paid 9%
sales tax, how much did he pay in total?
PLZ HELP I’LL MAKE YOU A BRAINLEST
Answer:
662.44 total paid
Step-by-step explanation:
907.07X.33(33% off)=299.33 discount
907.07-299.33=607.74 sales price
607.74+.09=54.70 sales tax
607.74+54.70=662.44 sales price including sales tax
15 points!! Are any of these right?
Answer:
it is the second one
Step-by-step explanation:
the y intercept for the first one isnt the origin
It is decreasing from negative infinity to -2.5 for the first one
(Help fast plz)Which of these tables represents a linear function
Answer:
Step-by-step explanation:
3rd one
Solve the system using substitution. Please write the solution in the form of a coordinate pair ( x, y ) SHOW YOUR
WORK!
15x = 30
y + 3x = 12
GIVING BRAINIEST TO WHOEVER HELPS ME AND GETS IN RIGHT!!!
Which product results in x^2-1
Please solve for X and Y
Answer:
x=16
..................
HELP FAST I NEVER SAW THIS BEFORE IN MY LIFE
I'll mark brainliest for the best answer!!
Answer:
GIRL NO WAY IM LITTERALY TAKING THAT TEST RN AND IM TRYING TO FIGURE OUT THAT SAME QUESTION LOL
Step-by-step explanation:
BUT I THINK ITS -0.5 DONT TAKE MY WORD FOR IT IM JUST ASSUMING ITS THE ANSWER BC ITS THE ONLY ONE THAT MAKES SENSE
20 points I beg you help
What is the common difference for the arithmetic sequence 14, 8, 2, -4, -10…. ?
Answer:
common difference = -6
Step-by-step explanation: