The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction
The cost of the car after an 8% reduction on the initial price of £15,400 is £14,168. This is found by calculating 8% of the original price and subtracting that amount from the initial price.
The initial price of the car is £15,400. To calculate the price after an 8% reduction, we first find the value of the discount and then subtract it from the original price. An 8% reduction on £15,400 is calculated as follows:
Calculate 8% of £15,400: (8/100) * £15,400 = £1232.Subtract the discount from the original price: £15,400 - £1232 = £14,168.Therefore, as per the above explaination, the cost of the car after the reduction is £14,168.
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1.25 per ride. Which function can be used to determine how much money he has left over after x rides? (1 point)
f(x) = 1.25x + 64
f(x) = −16x + $80
f(x) = −1.25x + 64
f(x) = −1.25x − 64
A function is a relationship between inputs where each input is related to exactly one output.
The function that is used to determine how much money he has left over after x rides is
f(x) = -1.25x + 64.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
f(x) = 2x + 2 is a function.
f(x) = 3x + 6 is a function.
We have,
Total amount = $80
Cost of entering the fair = $4
Cost on food = $12
Cost per ride = $1.25
The money left after x rides.
= 80 - (1.25x + 12 + 4)
= 80 - 1.25x - 12 - 4
= 80 - 1.25x - 16
= 64 - 1.25x
= -1.25 + 64
The function to determine money left can be represented as:
f(x) = -1.25x + 64
Thus,
The function that is used to determine how much money he has left over after x rides is
f(x) = -1.25x + 64.
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There are 4 pears in all. How many pears in 1 group?
HELP ASAP PLEASE!
Evaluate the numerical expression.
− 1/3 − (− 4/9 )
What is the equation of the line shown in the graph?
Drag and drop the expressions to write the equation of the line in slope-intercept form.
y =_+_
Your answer is Y= 2x (a) + 4 (e)
The y intercept is 4 and the slope is 2
Factor comun polinomio de (2×+3)(3-r)-(2×-5)(3-r)
1. Which procedure could be used to graph the line represented by the following equation? Y=1/2x+3
A. Plot the x-intercept (3,0) and use the slope of 1/2 to find a second point.
B. Plot the Y-intercept (0,3) and use the slope of 1/2 to find a second point
C. Plot the X-intercept (1/2,0) and use the slope of 3 to find a second point.
D. Plot the Y-intercept (0,1/2) and use the slope of 3 to find a second point
we have
[tex]y=\frac{1}{2}x+3[/tex]
we know that
the slope m of the line is equal to
[tex]m=\frac{1}{2}[/tex]
Find the x-intercept
The x-intercept is the value of x when the value of y is equal to zero
so
For [tex]y=0[/tex] find the value of x
[tex]0=\frac{1}{2}x+3[/tex]
[tex]x=-6[/tex]
The x-intercept is the point [tex](-6,0)[/tex]
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
so
For [tex]x=0[/tex] find the value of y
[tex]y=\frac{1}{2}*0+3[/tex]
[tex]y=3[/tex]
The y-intercept is the point [tex](0,3)[/tex]
therefore
the answer is the option
B. Plot the Y-intercept (0,3) and use the slope of 1/2 to find a second point
Final answer:
To graph the line y = 1/2x + 3, plot the y-intercept (0,3) and use the slope of 1/2 to find another point on the line.
Explanation:
The correct procedure to graph the line represented by the equation y = ½x + 3 is to start by plotting the y-intercept and then using the slope to find a second point. The y-intercept is the point where the line crosses the y-axis. In this equation, the y-intercept is (0, 3) because when x is 0, y is 3. The slope of the line is ½, which means that for every 1 unit increase in x, y increases by ½ a unit. Therefore, starting at the y-intercept (0, 3), you can go up ½ unit and right 1 unit to find another point on the line.
The correct answer to the multiple-choice question is:
B. Plot the Y-intercept (0,3) and use the slope of 1/2 to find a second point
Please help? I need this like... NOW.
see attached picture for solution
answer is (2,5)
Hannah claims that -3 is not rational number because it is not written as a ratio of integers. Is she correct? Explain why or why not?
If f(x) = 2x + 8 and g(x) = x^4, what is (g ° f)(-3)?
(g *f)(x) = (2x+8)^4
replace x with -3
(2(-3)+4)^4 =
(-6+4)^4 =
= (-2)^4
= 16
I feel like this is wrong but help plz
Shane works at a computer store. If he earns 20.93 from a 7% commission on the scale of a printer what is the price of the printer
QUICKK EXPERTS/ACE OR ANYONE WHO WANTS TO HELP!!
Slope = 4/3, y intercept = -5/3
see attached picture:
Which of the following could be the number of real roots, including any repeated roots, of a quadratic polynomial with real coefficients? Select all possible answers.
0
4
5
6
A quadratic polynomial can have 0, 1, or 2 real roots, including repeated roots. The roots are determined by the discriminant. Numbers 4, 5, or 6 are not possible numbers of real roots for a quadratic polynomial.
Explanation:In Mathematics, specifically in Algebra, a quadratic polynomial with real coefficients can have either 0, 1, or 2 real roots, including any repeated roots. The number of roots is determined by the discriminant (the value under the square root in the quadratic formula). If the discriminant is greater than 0, the quadratic has 2 real roots. If it equals 0, there is 1 real root (a repeated root), and if it is less than 0, there are no real roots (there are 2 complex roots instead). Consequently, the possible number of real roots for a quadratic polynomial is not 4, 5, or 6.
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A quadratic polynomial with real coefficients can have 0, 1, or 2 real roots. Only '0 real roots' is a valid choice. This is determined based on the discriminant of the quadratic equation.
A quadratic polynomial with real coefficients is of the form [tex]\( ax^2 + bx + c = 0 \)[/tex], where ( a, b, ) and ( c ) are real numbers.
The number of real roots of a quadratic polynomial can be determined by its discriminant, [tex]\( \Delta = b^2 - 4ac \)[/tex]:
1. If [tex]\( \Delta[/tex] > 0, the polynomial has two distinct real roots.
2. If [tex]\( \Delta[/tex] = 0, the polynomial has one real root (a repeated root).
3. If [tex]\( \Delta[/tex] < 0, the polynomial has no real roots (it has two complex conjugate roots).
Based on this, the possible number of real roots, including repeated roots, for a quadratic polynomial with real coefficients are:
- ( 0 ) (when the discriminant is negative, there are no real roots)
- ( 1 ) (when the discriminant is zero, there is one repeated real root)
- ( 2 ) (when the discriminant is positive, there are two distinct real roots)
Given the options:
- 0
- 4
- 5
- 6
The only valid number of real roots for a quadratic polynomial with real coefficients from the provided options is: 0
Simplify the expression 96/8
If f(x) = x + 2, find the value of x if f(x) = 12.
can anyone help me with this questions?
By which rule are these triangles congruent? A) AAS B) ASA Eliminate C) SAS D) SSS
Answer:
D) SSSStep-by-step explanation:
In the given image you can observe two triangles with congruent sides,
[tex]PQ \cong SQ\\PN \cong SN\\QN \cong QN[/tex]
Notice that all three corresponding sides are congruent. That means,
[tex]\triangle PQN \cong \triangle SQN[/tex], by SSS postulate.
The SSS postulate states that if two triangles have all three corresponding sides congruent, then those triangles are congruent.
Therefore, the right answer is D) SSS.
Can someone help me with algebra? I REALLY NEED IT.
Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33?
A. a number line with open circles at negative 2 and 5 with shading in between.
B. number line with open dot at negative 2 with shading to the left and an open dot at 5 with shading to the right
C. number line with shading everywhere.
D. number line with open dot at negative 2 and a closed dot at 5 with shading in between.
The answer is B
I hope this helped :)
Use the descriminant to describe the roots of each equation. Then select the best description. 16x^2+8x+1=0
So the question says...
Suppose you have ∠SMB and m ∠SMB =125.35 °.
Part A: Determine the angle measure that is complement to ∠SMB, if possible. If ∠SMB does not have a complementary angle, then explain why it does not.
Part B: Determine the angle measure of the supplement of ∠SMB.
Part C: Determine the angle measure of the angle complement to ∠SMB’s supplement.
I’m stuck on this question so if anyone can help me with it that would be greatly appreciated. Thanks!
The maximum number of significant digits in float values is up to 6 or 7.
a. True
b. False
Light travels 9.45 \cdot 10^{15}9.45⋅1015 9, point, 45, dot, 10, start superscript, 15, end superscript meters in a year. There are about 3.15 \cdot 10^73.15⋅107 3, point, 15, dot, 10, start superscript, 7, end superscript seconds in a year.How far does light travel per second?Write your answer in scientific notation.
Answer:
3 x 10^8
Step-by-step explanation:
I got it right on Kahn Academy :D
Assume your favorite soccer team has 2 games left to finish the season. the outcome of each game can be win, lose or tie. the number of possible outcomes is
The number of possible outcomes for the two remaining games is 9.
Explanation:The number of possible outcomes for the two remaining games can be found by multiplying the number of outcomes for each game. Since each game can have three possible outcomes (win, lose, or tie), there are a total of 3 outcomes for each game. Therefore, the number of possible outcomes for the two games is 3 x 3 = 9.
Does anyone know this?
y = 8.6 * cos(44.25)=
6.1602
Rounded to nearest hundredth = 6.16
PRE CALCULUS
HELP PLEASEEEEEEEEE
describe the transformations that produce the graph of g(x)=1/2(x-4)^3+5 from the graph of the parent function f(x)=x^3 give the order in which they must be preformed to obtain the correct graph
If f(x) = 3x + 2, what is f(5)?
A. 10
B. 1
C. 13
D. 17
f(x) = 3x+2
f(5) = 3(5) +2 = 15 +2 =17
Answer is D. 17
Orrin had $541.06 in his checking account, and a check that he wrote to his landlord for $560.00 was just deposit?
A.service fee
B.ATM fee
C. Overdraft fee
D. Overspending fee
Who knows how to solve 9= -2+ 2x+ 1 ?
And also x-4= -9+ x
Jonathan has a bag that has 2 red marbles and 3 blue marbles inside of it if you were to pick one marble from the bag without looking what is the probability of picking a red marble