The graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.
The function is given as:
[tex]f(x) = -2x^2 +6x - 3[/tex]
See attachment for the graph of function f(x).
From the attachment, we can see that the graph opens down, and it crosses the x-axis at two distinct points.
Hence, the graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.
Read more about quadratic functions at:
https://brainly.com/question/11631534
Please help me and If your answer is wrong or not appropreat I will report it
Simplify (-2x^(3)y^(7))^(2)(3x^(2)y^(2))^(5)
Answer:
972 x^16 y^24
Step-by-step explanation:
Simplify the following:
(-2 x^3 y^7)^2 (3 x^2 y^2)^5
Multiply each exponent in -2 x^3 y^7 by 2:
(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5
2×7 = 14:
(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5
2×3 = 6:
(-2)^2 x^6 y^14 (3 x^2 y^2)^5
(-2)^2 = 4:
4 x^6 y^14 (3 x^2 y^2)^5
Multiply each exponent in 3 x^2 y^2 by 5:
4 x^6 y^14×3^5 x^(5×2) y^(5×2)
5×2 = 10:
4×3^5 x^6 y^14 x^(5×2) y^10
5×2 = 10:
4×3^5 x^6 y^14 x^10 y^10
3^5 = 3×3^4 = 3 (3^2)^2:
4×3 (3^2)^2 x^6 y^14 x^10 y^10
3^2 = 9:
4×3×9^2 x^6 y^14 x^10 y^10
9^2 = 81:
4×3×81 x^6 y^14 x^10 y^10
3×81 = 243:
4×243 x^6 y^14 x^10 y^10
4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:
4×243 x^(6 + 10) y^(14 + 10)
14 + 10 = 24:
4×243 x^(6 + 10) y^24
6 + 10 = 16:
4×243 x^16 y^24
4×243 = 972:
Answer: 972 x^16 y^24
Answer:
972x^(16)y^(24)
Step-by-step explanation:
Hope it correct !!
H(x)=(x+5)^2 if we solve h(x)=36
One of the possible values of x is 1
What is the other possible value of x?
Answer:
x = - 11
Step-by-step explanation:
Solving
(x + 5)² = 36 ( take square root of both sides )
x + 5 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 5 from both sides )
x = - 5 ± 6
Then
x = - 5 + 6 = 1
x = - 5 - 6 = - 11
The other solution is x = - 11
what is the value of x?
please I need step by step solution
Answer:
Value of [tex]x=5[/tex]
Step-by-step explanation:
Given that
[tex]3=\log _{10}(8)+3 \log _{10}(x)\\\\3=\log _{10}(8)+\log _{10}(x^3)\\\\3=\log _{10}(8x^3)\\\\8x^3=10^3\\\\x^3=125\\\\x=5[/tex]
need help asap plz help
Number three is D and number 4 is also D.
Explanation for number three:
When you divide 12 by 3, you get 4. This gives us the number we need to multiply 10 by to get our answer. 10 x 4 = 40
Explanation for number 4:
In the last question, the first step to getting to the answer was to divide the first two numbers. This is no different. When you divide 32.5 by 5, you get 6.5. Then you multiply 10 and 6.5, which equals 65.
Yaniq has these two spinners
Answer it all right NO wrong
Answer:
b should be 2/11
c should be 2/11 as well
Step-by-step explanation:
Used The Graph info
total spins 11
both are 2over9
Step-by-step explanation:
9 results 2 only
write a polynomial function in standard form with the given zeros x=1,-1,-2
Answer:
y = x³ +2x² -x -2
Step-by-step explanation:
A polynomial with root q has a factor (x -q). The factored form of the polynomial is ...
y = (x -1)(x +1)(x +2)
y = (x² -1)(x +2) . . . . . . partial simplification
y = x³ +2x² -x -2
0.41g -2) + 1.2 =-(g-1) + 2.9
Answer:
g=-3repeated
Step-by-step explanation:
what is the order from least toe greatest with the numbers 0.75,0.3215,2/8,9/16
Answer:2/8, 0.3215, 9/16, 0.75
Step-by-step explanation:
2/8 = 0.25 0.3215 is higher then 9/16 =0.5625 next is 0.75
For a system of linear equations, the solution for the system is__
I NEED HELP PLZZ, can someone help me out w/ this question plz?
Answer:
both of them are correct !
-1/1 = 0
and -1+1 = 0, and 0/-1 equals 0
Step-by-step explanation:
James has $7.60 in nickels and quarters. He has 4 fewer nickels than quarters. How many of each coin does he have?
I need help! please! Ill give brainiest
I don't agree with Cameron
The relation { (1,2), (1,3) } has the domain {1} and range {2,3}.
The domain describes the list of x coordinates of the relation, while the range is the set of y coordinates. While we don't have a function, this is a relation.
will mark brainleist
Answer:
x=5.834729, rounded down to 5.83
Select all the functions whose output is 4 when the input is 16.
A.
y = 2x
B. y=x?
2
= x
C.
y = x + 12
D.
y = x - 12
E. y = 1
x
Answer:
Please check your post. I did the best I could.
Step-by-step explanation:
A. y = 2x 4 = 2*(16)? Nope
B. y=x? I don't understand the equation: y = x? 2 = x?????
C. y = x + 12 4 = 16 + 12? Nope
D. y = x - 12 Same???
E. y = 1 x 4 = 16? Nope
Which of the following functions is graphed below
What type of number is ?
Choose all answers that apply:
A
Whole number
00
B
Integer
С
Rational
D
Irrational
Answer:
Irrational Number
Step-by-step explanation:
Mark as brainliest if correct
If someone is traveling 3mi per 15 mins how far do they go in 1min?
Answer:
0.2 mi
Step-by-step explanation:
3 mi for 15 min
so divide 3 mi by 15 min = 0.2
Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly describes the resulting image, triangle ? A. Both the reflection and dilation preserve the side lengths and angles of triangle . B. Neither the reflection nor the dilation preserves the side lengths and angles of triangle . C. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths. D. The dilation preserves the side lengths and angles of triangle . The reflection does not preserve side lengths and angles.
The statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.
Since the triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. These are transformations which include
Reflections - Which are transformations which change the coordinates of an object without affecting its dimensions.Dilations - Which are transformations which change the size of the object and thus its coordinates.The operations performed on the triangle are the following
A reflection across the y-axis changes the coordinates of the triangle from (x, y) to (-x, y) without changing the side lengths and angles.The dilation of the triangle by a factor an then centered at the origin increases the side length of the triangle but the angles in the triangle remain the same since the ratio of the sides before and after dilation are the same.So, the reflection would preserve the side lengths and angles, but the dilation would only preserve the angles.
So, the statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.
Learn more about transformations here:
https://brainly.com/question/17311824
how to know which way to solve a quadratic equation
Answer:
Practice -- lots of it
Step-by-step explanation:
I usually choose a solution method that I believe will find the desired answer for me in the least number of simple steps. What constitutes a "simple" step depends on a number of things:
the given information and/or the given form of the equationfamiliarity with all of the different solution processesfamiliarity with arithmetic facts (multiplication tables, squares)familiarity with quadratic forms: difference of squares, perfect square binomials, product of binomials, vertex formavailability of a graphing calculatorwhether an approximation will serve the purpose.__
I often choose a graphing calculator as my first approach to solving a quadratic. It easily shows the roots, and can show the vertex. (Sometimes, scaling the graph is required, so I actually prefer to use a touch-screen for the purpose. It is easier to "pinch" than to type in possible graph limits by trial and error.) The answer is generally provided to 3 or 4 significant figures, which is usually enough to tell if the solution is rational or irrational.
The easiest way to describe an integer (or rational) solution to someone else (on Brainly, for example) is usually to show the factoring of the quadratic. Finding the roots with a graphing calculator significantly aids the factoring process. (It is much easier to "find" the solution if you know the solution before you start looking.)
__
As we said at the beginning, the answer to your question is "practice." Many curricula try to offer opportunities to practice. I find most of these pretty annoying. What I suggest is that you find your own internal motivation to practice solving different kinds of quadratics in several different ways. That is, solve the same quadratic by ...
using the formulacompleting the squarefactoringgraphing (with a graphing calculator)scaling and/or translation and/or transformation*It might take you a couple of hours of work to learn the best way to solve an equation in under 5 minutes.
In this process, you will discover what you need to know to choose a method that works nicely for you. I believe you will find that total familiarity with arithmetic facts (sums, products, squares) and operations on all the different ways to represent numbers (integer, decimal, fraction, percent, scientific notation) will help you significantly.
_____
* Additional comment
Some "area" problems give you the difference of dimensions (length and width), and ask you to find the dimensions that give a specific area. This can be solved by (x)(x -d) = A. If you don't immediately recognize factors of A that differ by d, then you might have to resort to the quadratic formula to solve this.
Another approach is to let the variable represent the average dimension. Then the equation becomes (x -d/2)(x +d/2) = A, which is a "difference of squares" form that is much more easily solved. The solution for x is √(A +(d/2)²), and all you have to do is add and subtract d/2 from that solution to find the dimensions. This is an example of what I mean by transforming the problem.
Luis made an error when he used the distributive property to write an equivalent expression.
Which sentence describes the error?
35x−15====(5⋅7)−(5⋅3)5(7−3)5(4)20
Answer:
35x does not equal 5 times 7Step-by-step explanation:
The second step ''(5 × 7) - (5 × 3)'' has an error.
Given that;
Luis made an error when he used the distributive property to write an equivalent expression.
Here the expression is,
35x - 15
It can be written as;
(5 × 7)x - (5 × 3)
Take 5 as common,
5 (7x - 3)
Therefore, the second step ''(5 × 7) - (5 × 3)'' has an error.
To learn more about the equation visit:
brainly.com/question/28871326
#SPJ3
write in point slope form an equation of the line that passes through point (6,5) with slope 3
Answer:
y - 5 = 3(x - 6)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = 3 and (6, 5 ) a point on the line , then
y - 5 = 3(x - 6) ← equation of line
brainliset
Solve.
p217=−5.3
Enter your answer as a mixed number in simplest form in the box.
p =
Answer: - 11 5/14 or -159/14
Step-by-step explanation:
Multiply both sides by 2 1/7.
Correct me if I am incorrect.
The value of p for the given expression is equal to 11(⁵/₁₄).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is P / 2(¹/₇) =-5.3. the value of p will be calculated as,
P / 2(¹/₇) =-5.3
P = -5.3 x 2(¹/₇)
Solve the equation by changing the mixed fraction to a simple fraction.
P = -5.3 x 15 / 7
P = 159 / 14
P = 11(⁵/₁₄).
To know more about an expression follow
https://brainly.com/question/21446512
#SPJ2
x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)
Answer:
(x+1)^2*(x+2)*(x+3)
Step-by-step explanation:
(x+1)(x+2)(x+3)x.(x+1)
(x+1)^2*(x+2)*(x+3)
(x+3)
(((x•(x+1))•(x+2))•—————)•(x+1)
x
(x + 1) • (x + 2) • (x + 3) • (x + 1)
Multiply (x+1) by (x+1)
Given pr // st. pr = 7 cm. ts = 3cm tq = 5cm what the length of pt
The question is an illustration of parallel lines, and equivalent ratios
The length of pt is 11.7 cm
Given that:
[tex]pr = 7cm[/tex]
[tex]ts =3cm[/tex]
[tex]tq = 5cm[/tex]
This means that:
[tex]pr : ts = pt : tq[/tex]
Substitute values for pr, ts and tq
[tex]7cm : 3cm =pt : 5cm[/tex]
Express the ratios as fractions
[tex]\frac{7cm }{ 3cm }= \frac{pt}{5cm }[/tex]
Cancel out the common units
[tex]\frac{7}{ 3}= \frac{pt}{5cm }[/tex]
Cross multiply
[tex]3pt = 35cm[/tex]
Divide both sides by 3
[tex]pt = 11.7cm[/tex]
Hence, the length of pt is 11.7 cm
Read more about equivalent ratios at:
https://brainly.com/question/2328454
omg please i need help this is worth sm pointssss PLEASE BESTIES
Answer: 1. don't call me your bestie...
2. the answer is A. 72 B. 75 C. 55 D. 52 E. 112 F. 55 G. I'm not sure what G is
A number more than 1.
Answer:
there is no more number than one
Step-by-step explanation:
Seven less than three times the sum of a number and 5 is at least 11 Find all the number that satisfy this condition
Answer:
x <= -6.33333
(>= is greater than or equal to)
(<= is less than or equal to)
Step-by-step explanation:
7 - 3(x+5) >= 11
7 - 15 - 3x >= 11
-8 - 3x >= 11
-3x >= 19
x <= 19/-3
x <= -6.33333
please mark brainliest
The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Seven less than three times the sum of a number and 5 is at least 11.
The sum of the a number (x) and 5 is given as,
⇒ (x + 5)
Three times the sum of a number and 5 will be given as,
⇒ 3(x + 5)
Seven less than three times the sum of a number and 5 will be
⇒ 3(x + 5) - 7
Seven less than three times the sum of a number and 5 is at least 11. Then the inequality will be
3(x + 5) - 7 ≥ 11
Simplify the inequality, then the value of x will be
3(x + 5) ≥ 18
x + 5 ≥ 6
x ≥ 1
The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
Help me with this please!!!!
Answer:
je suis désolé je ne vois pas bien
Step-by-step explanation:
et aussi je ne comprend pas l'anglais
.
A liquid takes up space because it: _______. has a definite volume but no definite shape has a definite shape but no definite volume has no definite shape or volume will take up as much space as they can
Answer:
1, It has a definite volume but no definite shape.
Step-by-step explanation:
Volume is the amount of space that something takes up. A liquid can only take up a certain amount of space, but it's shape will always depend on what container it is in.
question that EQUALS
67.5