can someone please help mee i need the right answers please(30 points and i will give brainliest!!!)
Answers
Step-by-step explanation:
Funtion-A:Given:
[tex]y = {x}^{2} - x - 6[/tex]
To find the x-intercepts set y to 0 and solve for x which is done below:
⇒x²-x-6=0⇒(x-3)(x+2)=0X=3 and -2Therefore x-intercepts:(3,0),(-2,0)
To figure out the y-intercept , substitute 0 for x and simplify
⇒y=0²-0-6⇒y=-6Hence, The y-intercept is (0,-6)
The vertex (0.5,-6.25)(skipped the steps as you've already figured it out)
Function-B:Likewise A:
X-intercepts:
⇒-x²+x+6=0⇒x²-x-6=0⇒x=3 and -2Therefore,x-intercepts:(3,0),(-2,0)
Y-intercept:
⇒y=-0²+0+6
⇒y=6
Therefore, y-intercept (0,6)
The vertex:(0.5,6.25)
Inspection of the Parabolas:The difference between the two parabolas is that The blue parabola is the result of reflection over x-axis of the red one.
Answer:
a.
The x-intercepts are 3 and -2
The y-intercept is -6
The vertex is (1/2 , -25/4)
b.
The two parabola are symmetric across the x-axis
Step-by-step explanation:
x² - x - 6
[tex]=x^{2}-2\times \frac{x}{2} +\frac{1}{4} -\frac{1}{4}-6[/tex]
[tex]=(x-\frac{1}{2} )^{2} -(\frac{1}{4}+6)[/tex]
[tex]=(x-\frac{1}{2} )^{2} -\frac{25}{4}[/tex]
The x-intercepts :
(x-1/2)² = 25/4
Then
x - 1/2 = 5/2 or x - 1/2 = -5/2
Then
x = 3 or x = -2
The y-intercepts :
We get the y-intercept by replacing x by 0 in the trinomial :
0² - 0 - 6 = -6
b.
we notice that :
-x² + x + 6 = -(x² - x - 6)
Then
-x² + x + 6
[tex]=-(x-\frac{1}{2} )^{2} +\frac{25}{4}[/tex]
The x-intercepts :
[tex]-(x-\frac{1}{2} )^{2} +\frac{25}{4}=0[/tex]
⇔ (x-1/2)² = 25/4
Then
x - 1/2 = 5/2 or x - 1/2 = -5/2
Then
x = 3 or x = -2
The y-intercepts :
We get the y-intercept by replacing x by 0 in the trinomial :
0² + 0 + 6 = 6
Related Questions
What is the solution for x in the equation?
5
3x + 4 =
2
OA. * = -4
OB. * = 4
12
O C.
OD.
X
x =
-1/7/20
Answers
Equations are separated by an equal sign. The value of x is given as -6/5
Equations and valuesGiven the equations below;
5(3x + 4) = 2
Expand
5(3x) + 5(4) = 2
15x +20 = 2
Subtract 2 from both sides
15x = 2 - 20
15x = -18
x = -18/15
x = -6/5
Hence the value of x is given as -6/5
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The function f represents the marketing team's expected number of user profiles after x months, when the domain is restricted to all real or hole
Answers
The standard equation of user will be y = 625x²+1250x+5000
A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
A connection or statement involving one or more variables is called a function.
From the graph we can find following equation:
(0,5000) ----------- 5000 = [tex]\frac{1}{4(f-k)}(0-h)^2 +k[/tex]
(2,10000) ---------- 10000 = [tex]\frac{1}{4(f-k)}(2-h)^2 +k[/tex]
(4,20000) --------- 20000 = [tex]\frac{1}{4(f-k)}(4-h)^2 +k[/tex]
Solving the above three equations we will get following values:
h = -1
k = 4375
f = 10937501/2500
Hence the standard equation of user will be y = 625x²+1250x+5000
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helppppp pleaseee tap or click picture if needed
Answers
Answer:
A
Step-by-step explanation:
He saves allowance for 5 months 5 months * $6 = 30 dollars
30 ÷ 3 would be the # of rides he can go on
Find The Distance Between4.5 And -1.4. ( i Need A Answer Right Now Pleaseeeeee!!!!!!
Answers
Answer:
5.9
Step-by-step explanation:
The distance between a point A and a point B is A-B. (4.5) - (-1.4) is the same as 4.5 + 1.4 so your answer is 5.9
Answer:
Step-by-steDistance between
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Table I contains outputs of the function f(x)=b^xf(x)=b
x
I need help
Answers
Answer: Table 1: Answer = 1. 404
Table 3 Answer = 1.66
Step-by-step explanation: i hope it's right if not, tell me
The table shows the age of some participants in a quiz competition and the number of questions they could answer correctly:
Age (years) (x)
15 21
17 22 16 19 18
Number of questions they could answer (y) 17 17 17 17 17 17 17
What is the correlation coefficient for the data, and what does it represent?
O0; it represents no correlation between x and y
O1; it represents a linear positive correlation between x and y
O-1; it represents a linear negative correlation between x and y
O1; it represents a linear negative correlation between x and y
Answers
Option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
We have:
Age (years) (x) 15 21 17 22 16 19 18
Number of questions they could answer(y) 17 17 17 17 17 17 17
As we can see all y values are the same.
n∑y² = 7(2023) = 14161
(∑y)² = 119² = 14161
If we put the value of the above data the value will become undefined.
Thus, option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.
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PLS HELP ME
Mike invested $29,000 at 7.24% compounded daily.
What will Mike's account balance be in 21 years?
Answers
Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. Mike's account balance after 21 years is $69,131.44.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,
[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]
where A is the final amount
P is the principal amount
r is the rate of interest
n is the number of times interest is charged in a year
t is the number of years
The principal amount that Mike invested is $29,000. The rate of interest is 7.24% compounded daily, for 21 years. Therefore, the account balance after 21 years is
[tex]\text{Account Balance after 21 years} = 29,000(1+\dfrac{0.0724}{365})^{(365 \times 21)}[/tex]
= $69,131.44
Hence, Mike's account balance after 21 years is $69,131.44.
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How can properties of logarithms be used to change bases into equivalent bases? (to any other flvs students, this is an essential question for 05.02 of alg 2)
Answers
Answer:
We can use change of base rule
NEED HELP ASAP! ITS IN THE IMAGE BELOW.
i’ve done the graph which is part a and b but i need help in part c and d, help will be appreciated!
Answers
Answer:
(a) see below
(b) see attached
(c) (15, 180) is not on the line
(d) a = -40
Step-by-step explanation:
Given equation:
[tex]y = 10x+20[/tex]
Part (a)
To complete the table of values, simply substitute each value of x into the given equation:
[tex]x=-3 \implies y=10(-3)+20=-10[/tex]
[tex]x=-1 \implies y=10(-1)+20=10[/tex]
[tex]x=0 \implies y=10(0)+20=20[/tex]
[tex]x=1 \implies y=10(1)+20=30[/tex]
[tex]x=3 \implies y=10(3)+20=50[/tex]
[tex]\large \begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} x & -3 & -2 & -1 & 0 & 1 & 2 & 3\\\cline{1-8} y & -10 & 0 & 10 & 20 & 30 & 40 & 50\\ \cline{1-8} \end{array}[/tex]
Part (b)
Plot 2 points from the table and draw a straight line through them.
Part (c)
To determine if (15, 180) is on the line, substitute x = 15 into the given equation of the line:
[tex]\begin{aligned} x=15 \implies y & =10(15)+20\\& = 150 + 20\\& = 170\end{aligned}[/tex]
Therefore (15, 180) is not on the line
Part (d)
If (-6, a) is on the line, substitute x = -6 and y = a into the equation and solve for a:
[tex]\begin{aligned} y & = 10x+20\\\implies a & = 10(-6)+20\\a & = -60 + 20\\a & = -40\end{aligned}[/tex]
Therefore, a = -40
Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x)=2^x-5
Answers
A function assigns the values. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The complete question is:
Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x) = 2^(x-5)
As x approaches negative infinity, h(r) approaches negative infinity.
As x approaches positive infinity, h(t) approaches 0.
As x approaches positive Infinity, h(t) approaches positive infinity.
As x approaches negative infinity, h(a) approaches positive infinity.
The graph of the function is given below, as it can be observed that as x approaches positive Infinity, h(t) approaches positive infinity.
Hence, the correct option is C.
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What type of polynomial is P(X)=1-2x^2+3x+2x^5
Answers
Encontrar los valores de x,y,z
Answers
The value of the angles x,y, and z is 73 degrees,88 degrees, and 55 degrees.
We have given that,
Two overlapping triangles
Here we have the angle Z and 52
What is the sum of the angle in a triangle?The sum of the all angle in a triangle is 180 degrees.
Therefore we have
The Z+43+52+40=180
Z+125=180
Z=55
Therefore in a triangle degree 52 degrees and 40 degree
y+52+40=180
y+92=180
y=180-92
y=88 degrees
For the angle x, we have
x+15+40+52=180
x+107=180
x=180-107
x=73
The value of the angles x,y, and z is 73 degrees,88 degrees, and 55 degrees.
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Find the midpoint of the segment with the following endpoints. (9, 8) and (3, 2)
Answers
Answer:
yoooo how you guys doing?
Use graphing to determine the solution to the system of linear equations x=-1 y=3x+1
Answers
At x = -1 the value of y will be equal to -2 for the equation y = 3x + 1.
What is an 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.
Given that:-
The system of linear equations x=-1 and y=3x+1.The equation will be solved as:-
Y = 3x + 1
Y = 3 ( -1 ) + 1
Y = -3 + 1
Y = -2
I have also plotted the graph of the two equations in the graph the two equations intersect at the point x = 1 and y = -2 so the solution of the equations will be ( -1, -2 ).
Therefore At x = -1 the value of y will be equal to -2 for the equation y = 3x + 1.
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Given the figure below solve for X
Answers
Answer:
x = 37
Step-by-step explanation:
In testing for differences between the means of two dependent populations where the variance of the differences is unknown, the degrees of freedom are:
Answers
The degrees of freedom in testing for differences between the means of two dependent populations where the variance of the differences is unknown are: df = n - 1
What is the degree of freedom for dependent variables?In statistics, degrees of freedom refers to the number of distinct values that can change in an evaluation without exceeding any constraints.
The degree of freedom is crucial and necessary when attempting to comprehend the significance of a test statistic and the validity of the null hypothesis.
In testing for differences between the means of two dependent populations where the variance of the differences is unknown, the degrees of freedom are: df = n - 1
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Describe the varying vegetation regions in Canada
Answers
Answer:
es fácil solo tienes que Aser 23+578 y hay te da el resultado
I need help with this math question (Img included)
Answers
Because (x^(2/3))(x^(3/3))=x^(5/3)
Jill has c comic books. Tonya has 4 more than twice Jill's comic books. What variable expressions represents the total number of comic books Jill & Tony have all together?
Answers
Answer:
3c + 4
Step-by-step explanation:
Forming an expression
Number of books with Jill = c
To find the number of books with Tonya, multiply 'c' by 2 and then add 4 to it.
Number of books with Tonya = 2*c + 4
= 2c + 4
Total books all together = c + 2c + 4 {Combine like terms}
= 3c + 4
Please help answer needed asap
Answers
Answer:
A
Step-by-step explanation:
a = 3n-30 solve for 'n'
a + 30 = 3n
n = (a+30)/3
n(a) = (a+30)/3
allowing 16% discount on the MP of a television and leying 13% Vat buyer has pay RS 18984 to buy it . Find MP of that television
Answers
The marked price of the television is Rs. 20,000.
What is Marked Price?The market price is the current price at which a good or service can be purchased or sold.
Here, let the marked price of the television be Rs. x
Discount = 16% on MP
VAT = 13% additional on MP
Total paid amount = Rs. 18984
Now, according to question;
MP X (1 - Discount) X (1 + VAT) = 18984
x (1 - 0.16)(1+0.13) = 18984
x = 18984/(0.84 X 1.13)
x = 18984 / 0.9492
x = 20,000
Thus, the marked price of the television is Rs. 20,000.
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Look at the photo and answer the question. Please put the answer at the top of the text and don’t make it hard to find. Best answer gets brainliest.
Answers
Answer: B. When the nail became magnetized the iron atoms in the nail were temporarily aligned and caused a physical change in the nail.
Step-by-step explanation:
Electrons behave like little magnets and when they flow through a wire, they create a magnetic field, which turns the nail into a magnet
Suppose ∠A and ∠B are complements, while ∠B and ∠C are supplements. If m∠A=3x+17, m∠B=55−x, and m∠C=67(x/3−1), then m∠A=44, m∠B=46, and m∠C=134. TRUE OR FALSE? Please show your work.
Answers
Answer:
TRUE
Step-by-step explanation:
Angle <A and angle <B are complementary, which means their sum must be = 90
Angle <B and angle <C are supplementary which means their sum must be = 180
Now let's see
m∠A=3x+17, m∠B=55−x, and m∠C=67(x/3−1)
first find the sum of A and B
3x + 17 + 55 - x = 90 add like terms
2x + 72 = 90 subtract 72 from both sides
2x = 18 divide both sides by 2
x = 9
TRUE OR FALSE is asked for
m∠A=44, m∠B=46, and m∠C=134
to find that we just replace c with 9 with every expression given for angles
m<A = 3x + 17
m<A = 3*9 + 17 = 44
m<B = 55 - x
m<B = 55 - 9 = 46
m<C = 134, we don't really need to calculate one by one since the angle are complementary and supplementary.
The answer is TRUE
The statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have:
∠A and ∠B are complements, while ∠B and ∠C are supplements.
∠A + ∠B = 90 degree
3x + 17 + 55 - x = 90
2x = 18
x = 9
Angle ∠B and angle ∠C are supplementary:
∠B + ∠C = 180
55 -x + 67(x/3 - 1) = 180
x = 9
Put the value of x and find angles A, B, and C.
m∠A = 44
m∠B = 46
m∠C = 134
∠A + ∠B = 90
∠B + ∠C = 180
The above statement is true.
Thus, the statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.
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Kaye bought 7 mangoes for $49, 4 apples for $24, and 3 oranges for $15. Which fruit is very cheap in price?
Answers
Answer:
oranges
Step-by-step explanation:
Answer: The oranges.
Step-by-step explanation: I'll set up my work below.
Mangoes: $[tex]49/7=7[/tex] =$7 per mango
Apples: $[tex]24/4=6[/tex]=$6 per apple
Oranges: $[tex]15/3=5[/tex]=$5 per orange
Given this, the cheapest fruit is the orange.
I hope this helps!! Pls mark brainliest :)
Question 8) Identify the volume of the composite figure. Round to the nearest tenth.
asap.... math test....must show work
Answers
Answer:
860.71m³
Step-by-step explanation:
V(cuboid) = bhd
V(cylinder) = h(pi)r²
V(shape) = cuboid - cylinder
cuboid = 10 x 10 x 12
cuboid = 1200m³
cylinder = 12(pi)3²
cylinder = 12(pi)9
cylinder = 339.292m³
shape = 1200 - 339.292
shape = 860.71m³
Answer:
860.9 -ish
Step-by-step explanation:
To find that volume we need to find the volume of the rectangular prism and subtract the volume of the cylinder.
First, lets find the volume of the prism.
V=lwh
V=10*10*12
V=1200
Now, find the volume of the cylinder.
V=Pie*Rsquared*h
V=3.14*3squared*12
V is about 339.12
Now do
1200-339.12=860.88
So it is about 860.9
Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours
Answers
Step-by-step explanation:
im sorry but im not sure about this question
Answer:
334.488 miles
Step-by-step explanation:
You don't have a specific request on what I should answer, if it was distance then here's your answer
I need help asp. Identifying Geometric Figures.
Answers
Answer:
The angle created by OX and OZ is angle XOZ
The two rays that create YOX are ray OX and ray OY
The center of the circle is point O
Step-by-step explanation:
The image attached below shows a circle with a center at point O at which several rays meet to form the following angles, namely:
ray OX and ray OZ meet at center O to form angle XOZ.
ray OX and ray OY meet at the center O to form angel YOX.
Therefore:
The angle created by rays OX and OZ is <XOZ
The two rays that created <YOX are: OX and OY
The center of the circle is point O.
I hope this is helpful.
This is confusing please help
Answers
Step-by-step explanation:
Since we have a right triangle, we use the Pythagorean Theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
or
[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
where a and b are the legs and c is the hypotenuse
Remember the legs are the sides that form that right angle, and the hypotenuse is the side opposite of the right angle.
So here the hypotenuse is 8, and one of the legs is 4. So we plug those values into the formula
[tex] 8 = \sqrt{ {b}^{2} + {4}^{2} } [/tex]
Im just very confused. This is probably easy but im lazy
Answers
Answer:
yes
Step-by-step explanation:
and yes
Answer:
The answer is 1.
Step-by-step explanation:
If you look closely at the other answers, they are not alike as 1.
(HOPE THIS HELPED!)
PLEASE HELP FAST!!!
Answers
By trigonometric functions and law of cosines, the value of x associated with a missing angle in the geometric system is between 7.701 and 7.856.
How to find a missing variable associated to an angle by trigonometry
In this question we have a geometric system that includes a right triangle, whose missing angle is determined by the following trigonometric function:
sin (7 · x + 4) = 12/14
7 · x + 4 = sin⁻¹ (12/14)
7 · x + 4 ≈ 58.997°
7 · x = 54.997°
x ≈ 7.856
In addition, the geometric system also includes a obtuse-angle triangle and that angle can be also found by the law of the cosine:
7² = 8² + 6² - 2 · (8) · (6) · cos (7 · x + 4)
17/32 = cos (7 · x + 4)
7 · x + 4 = cos⁻¹ (17/32)
7 · x + 4 ≈ 57.910°
7 · x ≈ 53.910°
x ≈ 7.701
Hence, we conclude that the value of x associated with a missing angle in the geometric system is between 7.701 and 7.856.
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