Answer:
5 weeks its 40 divided by 8
Step-by-step explanation:
Oranges are on sale for a $1.59 per pound write a function as a standard equation
Help me solve the following
Answer:
C. c = 8
Step-by-step explanation:
Step 1: Write equation
7 - 3c = -17
Step 2: Subtract 7 on both sides
-3c = -24
Step 3: Divide both sides by -3
c = 8
Answer:
C)8
7-3c=-17
-3c= -24
c=8
If it is 9 AM, what time was it 57 hours ago.
Answer:
1. am
Step-by-step explanation:
work is shown and pit
could someone help me with this, I have a few minds left. thanks!! Also marking as brainiest.
(i)Express 2x² – 4x + 1 in the form a(x+ b)² + c and hence state the coordinates of the minimum point, A, on the curve y= 2x² 4x+ 1.
The line x– y + 4 = 0 intersects the curve y= 2x² – 4x + 1 at points P and Q. It is given that the coordinates of Pare (3,7).
(ii)Find the coordinates of
(iii) Find the equation of the line joining Q to the mid-point of AP.
I already get the (i) but hav no idea with no.(ii) and (iii)
Can anyone help me? Thank you
Answer:
(i). [tex]y = 2\, x^2 - 4\, x + 1 = 2\, (x - 1)^2 - 1[/tex]. Point [tex]A[/tex] is at [tex](1, \, -1)[/tex].
(ii). Point [tex]Q[/tex] is at [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex].
(iii). [tex]\displaystyle y= - \frac{1}{5}\, x + \frac{17}{5}[/tex] (slope-intercept form) or equivalently [tex]x + 5\, y - 17 = 0[/tex] (standard form.)
Step-by-step explanation:
Coordinates of the ExtremaNote, that when [tex]a(x + b)^2 + c[/tex] is expanded, the expression would become [tex]a\, x^2 + 2\, a\, b\, x + a\, b^2 + c[/tex].
Compare this expression to the original [tex]2\, x^2 - 4\, x + 1[/tex]. In particular, try to match the coefficients of the [tex]x^2[/tex] terms and the [tex]x[/tex] terms, as well as the constant terms.
For the [tex]x^2[/tex] coefficients: [tex]a = 2[/tex].For the [tex]x[/tex] coefficients: [tex]2\, a\, b = - 4[/tex]. Since [tex]a = 2[/tex], solving for [tex]b[/tex] gives [tex]b = -1[/tex].For the constant terms: [tex]a \, b^2 + c = 1[/tex]. Since [tex]a = 2[/tex] and [tex]b = -1[/tex], solving for [tex]c[/tex] gives [tex]c =-1[/tex].Hence, the original expression for the parabola is equivalent to [tex]y = 2\, (x - 1)^2 - 1[/tex].
For a parabola in the vertex form [tex]y = a\, (x + b)^2 + c[/tex], the vertex (which, depending on [tex]a[/tex], can either be a minimum or a maximum,) would be [tex](-b,\, c)[/tex]. For this parabola, that point would be [tex](1,\, -1)[/tex].
Coordinates of the Two IntersectionsAssume [tex](m,\, n)[/tex] is an intersection of the graphs of the two functions [tex]y = 2\, x^2- 4\, x + 1[/tex] and [tex]x -y + 4 = 0[/tex]. Setting [tex]x[/tex] to [tex]m[/tex], and [tex]y[/tex] to [tex]n[/tex] should make sure that both equations still hold. That is:
[tex]\displaystyle \left\lbrace \begin{aligned}& n = 2\, m^2 - 4\, m + 1 \\ & m - n + 4 = 0\end{aligned}\right.[/tex].
Take the sum of these two equations to eliminate the variable [tex]n[/tex]:
[tex]n + (m - n + 4) = 2\, m^2 - 4\, m + 1[/tex].
Simplify and solve for [tex]m[/tex]:
[tex]2\, m^2 - 5\, m -3 = 0[/tex].
[tex](2\, m + 1)\, (m - 3) = 0[/tex].
There are two possible solutions: [tex]m = -1/2[/tex] and [tex]m = 3[/tex]. For each possible [tex]m[/tex], substitute back to either of the two equations to find the value of [tex]n[/tex].
[tex]\displaystyle m = -\frac{1}{2}[/tex] corresponds to [tex]n = \displaystyle \frac{7}{2}[/tex]. [tex]m = 3[/tex] corresponds to [tex]n = 7[/tex].Hence, the two intersections are at [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex] and [tex](3,\, 7)[/tex], respectively.
Line Joining Point Q and the Midpoint of Segment APThe coordinates of point [tex]A[/tex] and point [tex]P[/tex] each have two components.
For point [tex]A[/tex], the [tex]x[/tex]-component is [tex]1[/tex] while the [tex]y[/tex]-component is [tex](-1)[/tex].For point [tex]P[/tex], the [tex]x[/tex]-component is [tex]3[/tex] while the [tex]y[/tex]-component is [tex]7[/tex].Let [tex]M[/tex] denote the midpoint of segment [tex]AP[/tex]. The [tex]x[/tex]-component of point [tex]M[/tex] would be [tex](1 + 3) / 2 = 2[/tex], the average of the [tex]x[/tex]-components of point [tex]A[/tex] and point [tex]P[/tex].
Similarly, the [tex]y[/tex]-component of point [tex]M[/tex] would be [tex]((-1) + 7) / 2 = 3[/tex], the average of the [tex]y\![/tex]-components of point [tex]A[/tex] and point [tex]P[/tex].
Hence, the midpoint of segment [tex]AP[/tex] would be at [tex](2,\, 3)[/tex].
The slope of the line joining [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex] (the coordinates of point [tex]Q[/tex]) and [tex](2,\, 3)[/tex] (the midpoint of segment [tex]AP[/tex]) would be:
[tex]\displaystyle \frac{\text{Change in $y$}}{\text{Change in $x$}} = \frac{3 - (7/2)}{2 - (-1/2)} = \frac{1}{5}[/tex].
Point [tex](2,\, 3)[/tex] (the midpoint of segment [tex]AP[/tex]) is a point on that line. The point-slope form of this line would be:
[tex]\displaystyle \left( y - \frac{7}{2}\right) = \frac{1}{5}\, \left(x - \frac{1}{2} \right)[/tex].
Rearrange to obtain the slope-intercept form, as well as the standard form of this line:
[tex]\displaystyle y= - \frac{1}{5}\, x + \frac{17}{5}[/tex].
[tex]x + 5\, y - 17 = 0[/tex].
solve for x graph the solution on a number line 13+15+18+x/4 <21
Hey there!
ANSWER: [tex]x<-100[/tex]EXPLANATION:[tex]13+15+18+\frac{x}{4} <21[/tex]
To get x, simplify both sides of the inequality.
[tex]\frac{1}{4}x+46<21[/tex]
Now we have to minus(subtract) 46 from both sides.
[tex]\frac{1}{4}x+46-46<21-46\\ =\frac{1}{4}x<-25[/tex]
In the last step, we'll have to multiply both sides by 4.
[tex]4*(\frac{1}{4}x)<(4)*(-25)=x<-100(ANSWER)[/tex]
For the graph.
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
I need help?! Please
Answer:
a=5
x=4
ax+3=23
5×4+3=23
Step-by-step explanation:
⅔ = 8⁄₁₂ Yes or No? Are they Equivalent?
Step-by-step explanation:
[tex] \frac{2}{3} \times \frac{4}{4} = \frac{8}{12} [/tex]
yes
............
DeAnna had $23 to spend on two pencils. After buying them she had $17.
How much did each pencil cost?
Answer:
$3
Step-by-step explanation:
23-6=17 well 6÷2=3 so that means that it equals $3
It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? PLZ HELP
Answer:
9.45
Step-by-step explanation:
28.20/188=.15
.15x63=9.45
3. A $1,250 deposit for 10 years at a simple interest rate of 5.25%
Step-by-step explanation:
I=(pxRxt)/100
I=(1250×5.25×10)/100
I=656.25
amount to be paid is $1906.25 pls give me brainliest
I Need help asap. PLZ
Answer:
x = 12
Step-by-step explanation:
The 2 given angles are same- side interior angles and are supplementary, thus
9x - 4 + 5x + 16 = 180, that is
14x + 12 = 180 ( subtract 12 from both sides )
14x = 168 ( divide both sides by 14 )
x = 12
Simplify the following expression by combining like terms 5x^2 + 6x - 3 + 4x^2 + - 8x +2
What would be the actual length, if the length of the model is 25 ft and the scale factor is less
than one?
20 ft, 25 ft, Or 30 ft
Answer:
20ft
Explanation:
You multiply the model length by the scale factor to find the actual length. If the scale factor is less than zero, then the actual size will be smaller than the model. Therefore, your answer would be 20ft.
Specifically, the scale factor is .8 if the actual size is 20ft, 1 if the actual size is 25ft, and 1.2 if the actual size is 30ft.
The actual length of the model will be 30 feet. Then the correct option is C.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The length of the model is 25 feet. And the scale factor is less than one.
We know that if the scale factor is from zero to one, then the size of the actual length increases.
If the scale factor is greater than zero, then the size of the actual length decrease.
And if the scale factor is one, then the size does not change.
The size of the actual length will be greater than 25 feet.
The actual length of the model will be 30 feet. Then the correct option is C.
More about the dilation link is given below.
https://brainly.com/question/2856466
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Which linear equation below represents the line that goes through the point (3.4) and has a slope of 2?
Answer:
Linear equation with a slope of 2 that goes through the point (3, 4) is [tex]y = 2\cdot x -2[/tex].
Step-by-step explanation:
From statement we know the slope of the line and a point contained in it. Using the slope-point equation of the line is the quickest approach to determine the appropriate equation, whose expression is:
[tex]y-y_{o} = m \cdot (x-x_{o})[/tex]
Where:
[tex]m[/tex] - Slope, dimensionless.
[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of given point, dimensionless.
[tex]x[/tex], [tex]y[/tex] - Independent and dependent variable, dimensionless.
If we know that [tex]m = 2[/tex], [tex]x_{o} = 3[/tex] and [tex]y_{o} = 4[/tex], the linear equation is found after algebraic handling:
1) [tex]y-4 = 2\cdot (x-3)[/tex] Given
2) [tex]y = 2\cdot (x-3) +4[/tex] Compatibility with Addition/Existence of Additive Inverse/Modulative Property
3) [tex]y = 2\cdot x -2[/tex] Distributive Property/[tex](-a)\cdot b = -a\cdot b[/tex]/Definition of sum/Result
Linear equation with a slope of 2 that goes through the point (3, 4) is [tex]y = 2\cdot x -2[/tex].
which angels are corresponding angles check all that apply
C.D.And E..
I'm sure..
If this answer helps you plz mark as brainlist..TqPLZ HELLLLLLPPPPPPPP!
WILL MARK BRAINLIEST!!!!!
Answer:
more than one than its a and b but only one than its a
Given the diagram below, what is the length of segment ef
Markus decides to return 4 shirts costing $19 each to a clothing store. While there, he decides to purchase 2 pairs of shoes at $45 each and a raincoat for $62.75. The clerk charges him 5% tax on the amount due after returns. What amount does he owe the clerk?
Answer:
$80.59
Step-by-step explanation:
You add the price of the raincoat and shoes to get 152.75, you then subtract the price of the 4 shirts you returned to get 76.75. The 5% tax for this is 3.84 so you add the two together and you get $80.59.
the product of 25 and the number of students
Answer:
25n
25*n
Step-by-step explanation:
let n represent the number of students
Classify the system of equations and identify the number of solutions. 5x + y = 2 2y = 4 − 10x
infinitive
Step-by-step explanation:
The system of equations represents the dependent because the solution to the system of equations has infinitely many solutions.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The system of equations are:
5x + y = 2
2y = 4 − 10x
The system of equations can be written as:
5x + y = 2 ..(I)
10x + 2y = 4 ...(II)
In equation (II) divide by 2
5x + y = 2 ..(III)
Equations (I) and (III) represent the same equation:
The system of equations represents the Dependent because the solution to the system of equations has infinitely many solutions.
Thus, the system of equations represents the dependent because the solution to the system of equations has infinitely many solutions.
Learn more about the linear equation here:
brainly.com/question/11897796
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A car travels 100 meters in 5 seconds. Whats is the speed of the car
Answer:
20m/s
Step-by-step explanation:
[tex]Speed=Distance\div Time[/tex]
[tex]Speed=100m \div 5s[/tex]
[tex]Speed = 20m/s[/tex]
You want to start a business selling lanyards to hang your mask from. You have $25 in your banking account to purchase the materials you would need to make them. After doing some research for the best deals it is going to cost you $45 to make 10 lanyards (the minimum you can make).
Answer:
If the minimum is 10 and it costs $45 for that you would be going into the negatives as $25 is less then $45 meaning : You do not have enough money to purchase something that is $45. You would need $20 more dollars. If there was no minimum you would only be able to buy 4 with a few dollars left over.
PLEASE ANSWER ASAP
20 POINTS
Which expressions are equivalent to x4 + 5x3 - 43x2 + 4x -9? Select all that apply. (-6x4 - 8x3 - 34x2 + 4x - 23) + (7x4 + 13x3 – 9x2 + 14) A B (x4 + 2x3 - 203x2 + 9x – 13) + (x4 + 3x3 + 160x2–5x + 4) C (3x4 + 1983 - 7x2 + x - 193) - (2x4 + 14x3 + 36x2 – 3x – 184) (13x4 - 11x3 + 8x2 + 5x – 19) - (-12x4 + 16x3 - 51x2 - x + 10) (-8x4 - 31x3 – 11x2 - 8x - 43) - (-9x4 + 36x3 – 32x2 + 12x + 34)
Answer:
all of the expressions are probably random so I have no idea
(-2)(8)(-6) divided-4
Answer: -24
Step-by-step explanation:
-2 * 8 = -16
-16 * -6 = 96
Answer:
24 Please give brainliest
Step-by-step explanation:
-2 x 8
-16 x -6
96/4
24
Which of the following is equivalent to the given equation 7x2 = 98x - 343
a
(x+4)(x-3)
(x-7)
b
(x-6)(x+7)
d
Answer:
(x-7)
Step-by-step explanation:
i guessed and got it right
What is the slope of the line on the graph?
Answer:
2/4=1/2
Step-by-step explanation:
It rises 2 runs over 4.
rise/run
2/4=1/2
If x is not equal to zero, what is the value? show step by step.
Answer:
2/3
Step-by-step explanation:
Simplify the numerator
(2x) ^3 = 8 x^3
8x^3 * 3x = 24 x^4
Simplify the denominator
(6x^2) ^2 = 36 x^4
Simplify the fraction
24x^4/ 36 x^4 =
24/36 = 2/3
x^4/x^4 =1
The fraction is 2/3 when x does not equal 0
help me for a kith please
Answer:
Kith means becoz i am from India