Explanation:
The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,
a = 1b = -3c = -1Use the quadratic formula to get the following
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]
The last equation matches with choice C.
A ski resort is building two parallel straight ski slopes for children. One of them has a gradient of 1/3. The other ski slope will pass through points (2,-3) and (s,-5). Find the value of s
Answer: s= -8
Step-by-step explanation:
The gradient of the ski slope can ge used as the slope (literally) of a line equation:
y = mx + b,
where m is the slope and b the y-intercept (the value of y when x = 0).
The first slope would be y = -(1/3)x + b.
The slope is (-1/3) since the ski run is headed downhill. The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").
y' = -(1/3)x' + b
We may assume that b is the same for both slopes - they start and end at the same point.
We can find b by using the given point (2,-3):
y' = -(1/3)x' + b
-3 = -(1/3)(2) + b
-3 = -(2/3) + b [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]
-7/3 = b
b = -(7/3)
The second ski slope, y', thus has the equation
y' = (1/3)x' -(7/3)
We want the value of s in (s, -5).
y' = (1/3)x' -(7/3)
-5 = (1/3)s -(7/3)
(1/3)s = -5 +(7/3) [-15/3 + 7/3 = -8/3]
(1/3)s = -(8/3) [Multiply both dies by 3]
s = -(24/3)
s = -8
(ASAP) I really need help on this I have a C- in Math right now and( I NEED TO GET UP MY GRADE) plsssss
Answer:
answer is <
Step-by-step explanation:
first equation is equal to 6 and the other is equal to 7
Simplify the expression using the order of operations.
4+(3+2)2
= 4+
2
= 4+
=
Step-by-step explanation:
4+(3+2)2
4+(5)2
4+10
14
Peter is 75.25 inches tall, but Steve is 1.75 inches taller. How tall is Steve? ?
Answer:
77 in.
Step-by-step explanation:
Peter: 75.25 in.
Steve: 75.25 in. + 1.75 in. = 77 in.
simpllefie this ansewer 10c–7c
Answer:
3c
Step-by-step explanation:
10c - 7c = 3c
Peter drives his motorcycle for 56 miles with three different speeds and the average speed is 12.8 miles per hour. First, he drove 4.8 mph and the last speed is 7.4 mph. What is the second speed?
Answer:
your answer is 0.8 mph
Step-by-step explanation:
i hope i help you
Examine the solution to the equation
-6(x + 5) + 3 = -2(x + 4) - 4x
-6x - 30 + 3 = -2x - 8 - 4x
-6x-27 = -6x - 8
Which statements accurately describe this equation?
Check all that apply.
This equation has one solution.
This equation has no solution.
This equation has infinitely many solutions.
Any input value for the variable will generate a true
equation
O Any input value for the variable will generate a false
equation.
-27 = -8
Answer:
option (2) and (5) is correct.
2) This equation has no solution.
5) Any input value for the variable will generate a false equation.
Step-by-step explanation:
Given a solution to the equation,
-6( x + 5) + 3 = -2( x + 4) - 4x
⇒ –6x – 30 + 3 = –2x – 8 – 4x
⇒ –6x – 27 = –6x – 8
⇒ –27 = – 8
Which is false statement as -27 is never equal to -8.
Thus, This equation has no solution.
Also, if we substitute any value of x , then also the equality never hold.
For example lets put x = 1 in -6( x + 5) + 3 = -2( x + 4) - 4x , we get,
⇒ -6( 1 + 5) + 3 = -2( 1 + 4) - 4(1)
⇒ -6( 6) + 3 = -2(5) - 4
⇒ -36 + 3 = -10 - 4
⇒ -33 = -14
Still the value is false as -33 is never equal to -14.
Any input value for the variable will generate a false equation.
Thus, option (2) and (5) is correct.
(04.04)
Which graph represents a linear function? (4 points)
Group of answer choices
A coordinate plane is shown with a line passing through the x-axis at negative 2 and the y-axis at negative 6.
A coordinate plane is shown with a curved line that starts in the bottom left area of the graph, passing through the point -1 comma -5, curving to pass through the y-axis at 2.5, then curving up again to pass through the point 1 comma 5
A coordinate plane is shown with a parabola graphed in an upward U shape. The bottom of the parabola touches the y-axis at -10 and curves upward on both sides
A coordinate plane is shown with a wavy line that sits on the x-axis and moves across the graph in even up and down waves.
A linear function is one of the most simplest form of functions. As the name "linear" indicates, a linear function is simply a line, more precisely a straight line.
So it is in the form of f(x) = ax + b.
Lets now check the possible answers : (second answer :) "a curved line", not correct.
(third answer:) "a parabola", this is not a straight line, so not correct.
(fourth answer:) "a wavy line", not a straight line, so not correct.
The only correct answer is the first one : a line passing through the x axis at negative 2 and the y axis at negative 6.
Planes S and R both intersect plane T .
Horizontal plane T intersects vertical planes S and R. Planes T and S intersect at line x. Planes T and R intersect and line y. Horizontal line v intersects line x at point B and line y at point A. Line z intersects the lower half of plane S at point C. Point D is on line z but not on a plane.
Which statements are true based on the diagram? Select three options.
Plane S contains points B and E.
The line containing points A and B lies entirely in plane T.
Line v intersects lines x and y at the same point.
Line z intersects plane S at point C.
Planes R and T intersect at line y
Answer:
B,D,E
Step-by-step explanation:
PRETTTTYYYYYYYYYYY PLS HELP ME RN
Answer:
(5,-3)
Step-by-step explanation:
We can substitute the y in the second equation by the first equation:
2x+3(x-8)=1->
2x+3x-24=1 ->
5x-24=1 ->
5x=25 ->
x=5.
Then solve for y in the first equation:
y=5-8 ->
y=-3.
So the first is correct:
(5, -3)
Hope that helps! :)
Answer:
First option: (5,-3)
Step-by-step explanation:
First turn the second equation to slope intercept form (y=mx+b):
Subtract 2x on both sides to get 3y = -2x + 1, then divide 3 on both sides to get y = -2/3 x + 1/3.
Now you can graph both, and the solution would be the point that intercepts both of these lines.
(Here it is graphed above for you⤴⤴⤴)
Hope this helps :)
answer this question. (5.6)(1.8)
Help me with school (math)!!!
Answer: y=-4x+7
Step-by-step explanation: Move 8x to the right side to isolate y. 2y=14-8x. Divide the whole equation by 2 to get y by itself. y=7-4x
plz help!!!!!!!!!!!!!!!
Answer:
equation of line of best fit: y = -.018x + 7.3
y-intercept = 7.3
correlation coefficient = -.018
correlation coefficient indicates there is no correlation between the x-and-y values
Step-by-step explanation:
-x+y=5
2x-5y=12
Select the best method to solve the system
Substitution or Elimination
Answer:
x=-37/3
y=-22/3
Step-by-step explanation:
-2x+2y=10 (1)
2x-5y=12 (2)
(1)+(2) <=> -3y=22
Answer:
Elimination method is good enough
2. Using 50 for the number of weeks in a year is a(n) exponent
hundredths
overestimate
partial products
power
round
tenths
thousandths
underestimate
which one?
There are 52 weeks in a year.
Using 50 for the number of weeks in a year is a(n) round.
Rounding is a process which we approximate the known number by just scaling it up or down.
In rounding the numbers less than 5 are scaled to one number less than the given integer and numbers such as 5 or above than 5 are scaled a number greater than the given number .
For example if there were 55 or more than weeks in a year we can say there are approximately 60 weeks in a year.
But there are 52 weeks so we round it to 50 weeks as 2 is less than 5.
https://brainly.com/question/9165533
https://brainly.com/question/10605353
or Precalculus
Unit: Get ready for trigonometry
x
Unit test
f is a trigonometric function of the form f(x) = a cos(bx + c) + d.
Below is the graph of f(x). The function has a maximum point at (pi, 9) and a minimum point at
(3pi/4, 1)
Find a formula for f(x). Give an exact expression.
Answer:
4cos(4x-4pi)+5
Step-by-step explanation:
It was from khan
i need to find what is 18 divided by 8
Answer:
2.25
Step-by-step explanation:
19. Is there any bias in the survey question? Explain.
What do you think would help students pay more attention in class?
Answer:
yes
Step-by-step explanation:
because everyone has a different method that works for them.
but then again it uses the pronoun you which means its asking for your opinion its not phrased
what would help študents pay more attention in class
so yes and no
1 1/3 x 1 2/3 please help
Answer:
_
6.1
Step-by-step explanation:
_
11/3 * 5/3 = 11·5/3·3 = 55/9 = 6.1
Find the next two numbers in the pattern -96, 48, -24, 12,...
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given sequence is a geometric ~
let's find the common ratio (r) first ~
[tex] \dfrac{48}{ - 96} [/tex][tex] - \dfrac{1}{ 2} [/tex]And the first term (a1) of the sequence is ~ -96
let's find the 5th and 6th term.
The value of 5th term is ~
[tex]a_1{(r )}^{n - 1} [/tex][tex] - 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 - 1} [/tex][tex] - 96 { \bigg( - \dfrac{ 1}{2} \bigg) }^{4} [/tex][tex] - 96 \times \dfrac{1}{16} [/tex][tex] - 6[/tex]The value of 6th term is ~
[tex]a_1{(r )}^{n - 1} [/tex][tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{6 - 1} [/tex][tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 } [/tex][tex] - 96 \times - \dfrac{1}{32} [/tex][tex]3[/tex]8
-8
4
4
-8
The dotted figure is a dilation of the solid figure. What is the scale factor?
Can someone please help meeee!!!!
Answer:
1/2
Step-by-step explanation:
in the below figure point A is (8,-4)
and shifted A is (4, -2)
it is half of original
for B (4,4) ---> (2,2)
for C (-4,4) ----> (-2,2)
so scale factor is 1/2
If PQ = 6cm, QR = 55cm and RP = 55cm, What type of triangle can be constructed?
Answer:
isosceles triangle
Step-by-step explanation:
In an isosceles triangle 2sides are equal
SIMPLIFY
STEP BY STEP EXPLANATION
WILL MARK BRAINLIEST!!!!!!!!!!!!!
Answer:
3x+7
3
Step-by-step explanation:
(3x-7) × (3x+7) × ____2x+4_____
6 3x∧2-x-14
(3x-7) × (3x+7) × ____2(x+2)_____
6 3x∧2 × 6x-7x-14
(3x-7) × (3x+7) × _____x+2_______
3 3x × (x+2)-7(x+2)
(3x-7) × (3x+7) × _____ x+2_______
3 (x+2) × (3x-7)
3x+7
3
Hope this helps! :)
HELPPPPPPPPP
Those are two problems.
Differentiate y = csc(x)cot(x).
Answer:
[tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringFunctions
Calculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle y = \csc (x) \cot (x)[/tex]
Step 2: Differentiate
Derivative Rule [Product Rule]: [tex]\displaystyle y' = \frac{d}{dx}[\csc (x)] \cot (x) + \csc (x) \frac{d}{dx}[\cot (x)][/tex]Trigonometric Differentiation: [tex]\displaystyle y' = - \csc (x) \cot (x) \cot (x) + \csc (x) \big[ - \csc ^2 (x) \big][/tex]Simplify: [tex]\displaystyle y' = - \csc (x) \cot^2 (x) - \csc^3 (x)[/tex]Factor: [tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Help given the graph of the function below what happens to f(x) when x is a small positive number?
Answer:
A
Step-by-step explanation:
HELP ASAP 10 POINTS WILL MARK BRAINIEST IF CORRECT
Answer:
Bryan
Step-by-step explanation:
Rate of Change
Answer:
Malory Makes more money than bryan
Step-by-step explanation:
Substitute x = 9 and solve for B
3x + 10 = b
Answer:
b = 37
Step-by-step explanation:
3x + 10 = b
(3 x 9) + 10 = 27
27 + 10 = 37
Answer:
b Is 37
Step-by-step explanation:
x Is 9
instead of x you write 9
3x mean 3×X
3×X+10= 3×9+10=27+10=37
Which expression has a sum of one and eight thirtieths?
Question 5 options:
three sixths + three fifths
four sixths + three fifths
four sixths + four fifths
five sixths + one fifth
Answer:
[tex]\frac{4}{6}+\frac{3}{5}[/tex]
Step-by-step explanation:
1 + [tex]\frac{8}{30}[/tex] = [tex]\frac{30}{30}[/tex] + [tex]\frac{8}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]
[tex]\frac{3}{6}[/tex] + [tex]\frac{3}{5}[/tex] = [tex]\frac{3.5}{6.5} + \frac{3.6}{5.6}[/tex] = [tex]\frac{15}{30} + \frac{18}{30} = \frac{33}{30}[/tex] = [tex]\frac{11}{10}[/tex]
[tex]\frac{4}{6} + \frac{3}{5} = \frac{4.5}{6.5} + \frac{3.6}{5.6} = \frac{20}{30} + \frac{18}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]
[tex]\frac{4}{6} + \frac{4}{5} = \frac{4.5}{6.5} + \frac{4.6}{5.6} =\frac{20}{30}+\frac{24}{30}[/tex] = [tex]\frac{44}{30}[/tex] = [tex]\frac{22}{15}[/tex]
[tex]\frac{5}{6}+\frac{1}{5}=\frac{5.5}{6.5}+\frac{1.6}{5.6}=\frac{25}{30}+\frac{6}{30}=\frac{31}{30}[/tex]
divide £64 in the ratio 3:5
Answer:
64/1 . 5/3
320/3
106.666666?
Answer:
£24 and £40
Step-by-step explanation:
To divide into the ratio of 3:5, we can start by dividing into 8 parts - as 3+5=8, then do 3 parts and 5 parts to achieve the ratio.
£64 / 8 = £8
3 * £8 = £24
5 * £8 = £40