Answer:
He rented 4 movies
Step-by-step explanation:
Each movie costs $4 and if he rents 4 it'll be 4x4= $16, you then subtract the $1.00 coupon and get the total of $15
Factor the expression
x^2 − 14x + 45 completely.
Answer:
(x+5) (x+9)
Step-by-step explanation:
In order to the trinomial
x
2
+
14
x
+
45
Begin by finding the factors for the first term
x
2
=
x
⋅
x
Place those factors as the first term in each parenthesis
(
x
_
)
(
x
_
)
Since both signs of the trinomial are positive you will be adding the factors and both signs will be positive.
(
x
+
_
)
(
x
+
_
)
Now determine the factors of the third term
45
=
1
⋅
45
,
3
⋅
15
,
5
⋅
9
We need the factors that will add up to the middle term
14
=
5
+
9
Place these factors as the second term in each of the parenthesis.
(
x
+
5
)
(
x
+
9
)
(x-5)(x-9) is the factored form of the expression x²-14x+45
The given expression is x²-14x+45
x is the variable in the expression
x square minus forteen times of x plus forty five
Plus and minus are operators in the expression
x²-9x-5x+45
Now let factor out the expression
x(x-9)-5(x-9)
(x-5)(x-9)
Hence, the factored form of the expression is (x-5)(x-9)
To learn more on Expressions click:
https://brainly.com/question/14083225
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Which data values are outliers?
71, 96, 110, 112, 114, 114, 121, 127, 135, 175, 180
Answer: 71, 175, 180
Step-by-step explanation:
Find the interquartile range. 127- 112 = 23 Multiply by 1.5 = 34.5
Add to the mean 114 + 34.5 = 148.5
Subtract from the mean 114 - 34.5 = 79.5
Any number greater than 148.5 or less than 79.5 is considered an outlier
The temperatures in my town one week in December were 3°F, 10°F, 5°F, 18°F, 7°F, 3°F, and 3°F. What was the mean temperature that week?
Answer:
It was 3
Step-by-step explanation:
This is because its the one clóset to 0
I hope this help you out
Which of these is most likely to form a normal distribution?
10 dice rolled 100 times
10 dice rolled 1 times
10 dice rolled 1000 times
010 dice rolled 10 times
Answer: a distribution with a known shape and other properties.
Step-by-step explanation: 10 dice rolled 1000 times
Answer:is below
Step-by-step explanation:
10 dice rolled 100 times
1 less than the quotient of a number n and 6
Answer:
(n/6) - 1
Step-by-step explanation:
Quotient means to divide so the Expression will be (n/6)- 1
A store is having a sale on hats. The sale is buy one hat, get one 50% off. The original price of one hat is $34.98. Nate bought several hats, and the
total cost was $262.35.
How many hats did she buy
Answer:
15 hats
Step-by-step explanation:
First off, we need to divide 34.98 by 2 because it is 50 percent off.
We get 17.49 dollars.
262.35/ 17.49 because we need to find out how many hats Nate bought.
We get 15 hats
Find the values of R, P, and Q that make the polynomial addition problem true. Write your answer in this order: R, P, Q. \left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7 (12x 5 +Rx 4 +Px 2 −5)+(−6x 5 −4x 4 +13x+Q)=6x 5 +3x 4 +9x 2 +13x+7
Given:
[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]
To find:
The values of R, P and Q.
Solution:
We have,
[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]
On combining like terms, we get
[tex](12x^5-6x^5)+(Rx^4-4x^4)+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]
[tex]6x^5+(R-4)x^4+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]
On comparing the coefficients of [tex]x^4[/tex], we get
[tex]R-4=3[/tex]
[tex]R=3+4[/tex]
[tex]R=7[/tex]
On comparing the coefficients of [tex]x^2[/tex], we get
[tex]P=9[/tex]
on comparing the constants, we get
[tex]Q-5=7[/tex]
[tex]Q=7+5[/tex]
[tex]Q=12[/tex]
Therefore, [tex]R=7,P=9[/tex] and [tex]Q=12[/tex].
The function f(x) represents the amount of people it takes to build x engines in a car factory. What is a reasonable domain for the function f(x)?
Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. and passes through the point (3, –2) in function notation.
Step 1: y – (–2) = Step 1: y minus left-parenthesis negative 2 right-parenthesis equals StartFraction 3 Over 4 left-parenthesis x minus 3 right-parenthesis. (x – 3)
Step 2: y + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Step 3: y + 2 + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x – + 2
Step 4: y = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Step 5: f(x) = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Analyze each step to identify if Andy made an error.
Yes, he made an error in Step 1. He switched the x and y values.
Yes, he made an error in Step 2. He did not distribute StartFraction 3 Over 4 EndFraction properly.
Yes, he made an error in Step 3. He should have subtracted 2 from both sides.
No, his work is correct.
answer is C
He made an error in Step 3. He should have subtracted 2 from both sides.
Answer:
c
Step-by-step explanation:
Solve the absolute value equation. |2x-31| = 17
Answer:
x = 24 x = 7
Step-by-step explanation:
|2x-31| = 17
Absolute value equations have 2 solutions, one positive and one negative
2x-31 = 17 and 2x-31 = -17
Add 31 to each side
2x-31+31 = 17+31 and 2x-31+31 = -17+31
2x = 48 2x = 14
Divide by 2
2x/2 = 48/2 2x/2 = 14/2
x = 24 x = 7
Answer:
24
To find:
x
Step-by-step explanation:
2x-31 = 17
2x=17+31
2x=48
x=48/2
x=24
hope it helps you!
Determine the measure of ∠Z. images attached
Answer:
The answer is option DStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Z
To find the value of ∠Z we use tan
We have
[tex] \tan(∠Z) = \frac{28}{25} \\ ∠Z = { \tan }^{ - 1} \frac{28}{25} \\ ∠Z = 48.239700...[/tex]
We have the final answer as
48.24°Hope this helps you
Answer:
the answer is B)41.76
Step-by-step explanation: I took the test
A recipe calls for 4 teaspoons of salt to 12 teaspoons of red pepper flakes. How many teaspoons of salt are needed for each tablespoon of red pepper flakes?
Answer:
1 teaspoon of salt to 3 teaspoons of red pepper flake
Step-by-step explanation: 12 divided by 4
1. Which set of numbers includes the square root of 42?
a) irrational number
b) integers
c) rational numbers
d) whole numbers
2. What is the name of this set?
{ … -3, -2, -1, 0, 1, 2 3, …}
a) real numbers
b) integers
c) rational numbers
d) whole numbers
3. Which set does not include negative numbers?
a) real numbers
b) integers
c) rational numbers
d) whole numbers
4. Which of these equals an integer?
a) 12 ¸ 5
b) -12 ¸ 5
c) -15 ¸ 4
d) -15 ¸ 5
5. Which of these is closest to 150?
a) 12.2
b) 12.4
c) 14.2
d) 15
Answer:
C,B,D,A,D
Step-by-step explanation:
What’s the correct mathematical expression for 2 groups of z
Answer:
2z = 2 groups of z
Help me plz!!!!!!!!!!!
Answer:
88%
Step-by-step explanation:
22/25 = .88 x 100= 88%
Answer:
88%
Step-by-step explanation:
First, you start with the bottom (denominator). You turn it into 100 since all percentages are over 100. So 25 times 4 is 100. Therefore, you also have to multiply the top with a 4, getting an 88 over 100. That is equal to 88%.
What is the square root of 51.84
z=b+ma, for a PLS ASAP
Answer:
a= b+m/2
Step-by-step explanation:
What is a force between an object and the surface it is moving over?
Answer:
Friction
Step-by-step explanation:
Find the area of the polygon with
E(3, 1), F(3, – 2), GC – 2, - 2)
Answer:
7.5 square units
Step-by-step explanation:
A = (.5)bh
= (.5)(3)(5)
= (.5)(15)
= 7.5
What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?
Answer:
y=2x-15
Step-by-step explanation:
In parallel lines the gradient is always the same. then we sub the coordinates in to find c.
so
1=2(8)+c
c equals to -15 t
then
y=2x-15
david and Jack share $120 in the ratio 3:5.how much did david get ?
Answer:
$45
Step-by-step explanation:
ratio is 3:5
David gets 3x, Jack gets 5x
So, 3x+5x=120
8x=120
x=15
David got 3x = 3*15 = $45
Answer:
45$
Step-by-step explanation:
120/8=15
15*3=45
because it is 3:5 ratio
How many $4.30 packets of sugar can be bought for $24.00?
Answer:
About 5 and a half
Step-by-step explanation:
which fraction is greater 4/6 or 2/10 or is it equal
Answer: 2/10 is larger
Step-by-step explanation:
$16.99 cap; 20% discount
Answer:
$13.59
Step-by-step explanation:
your answer needs to be atleast 20 characters long
Answer:
$13.592
Explanation:
$16.99 cap , discount 20%
new price = 100-20/100× 16.99 = $13.592
The football team scored 128 total points last season. This year they scored 144 total points. What is the percent of change?
Answer:
88%.
Step-by-step explanation:
Answer:
12.5% increase
Step-by-step explanation:
Take the difference in points
144-128 = 16
And divide by the original number of points
16/128 =.125
Change to percent form
12.5%
Since the points went up it is an increase
12.5% increase
A thief steals an ATM card and must randomly guess the correct three-digit pin code from a 7-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try? The number of possible code is__?? (Type an integer or fraction. Simplify your answer) The probability that the correct code is given in the first try is __?? (Type an integer or fraction. Simplify your answer.)
Answer:
1/343
Step-by-step explanation:
Given that:
Required pass code = 3 digit long
Digit or keypad option / length = 7
What is the probability of a correct guess on the first try? To obtain this,
Probability = required outcome / Total possible outcomes
The required outcome = correct guess; which is a single combination of the right digits = 1
Total possible outcomes = number of available combinations or the number of possible codes = (7^3) = 343
Hence,
P(right guess on first try) = required outcome / Total possible outcomes
= 1/343
What is 3/4 dived by 1/2
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex]
Since we are dividing by a fraction, we switch [tex]\frac{1}{2}[/tex] to it's reciprocal.
Doing that would make it [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{1}[/tex]. In other words, that is [tex]\frac{3}{4}[/tex] x [tex]2[/tex].
We can use cross multiplying to simplify/solve for it.
(Look at the image to see the cross multiplying).
Therefore, the answer is [tex]\frac{3}{2}[/tex].
Which expression is equivalent to 25x2 + x
Answer:
50+x
Step-by-step explanation:
if you simplify, 25*2 is 50.
50+x
show work
only do those
32,34,36,38,40
Answer: see below
Step-by-step explanation:
[tex]32)\quad \dfrac{3}{5}(x-12)>x-24[/tex]
3(x - 12) > 5(x - 24)
3x - 36 > 5x - 120
-5x -5x
-2x - 36 > -120
+36 +36
-2x > -84
÷ -2 ↓ ÷ -2
x < 42
Graph: ←------------o
42
34) 6[5y - (3y - 1)] ≥ 4(3y - 7)
6[5y - 3y + 1] ≥ 4(3y - 7)
6{2y + 1] ≥ 4(3y - 7)
12y + 6 ≥ 12y - 28
-12y -12y
6 ≥ -28
TRUE so the solution is All Real Numbers
Graph: ←-----------------------→
36) BC + AC > AB
4 + 8 - AB > AB
12 - AB > AB
+AB +AB
12 > 2AB
÷2 ÷2
6 > AB
AB < 6
[tex]38)\quad \dfrac{1}{2}(y-16)\geq y+2\quad ;\text{claim}\ y\leq 20[/tex]
Check: let y = 16
then [tex]\frac{1}{2}[/tex](16 - 16) ≥ 16 + 2
0 ≥ 18
FALSE so the claim is wrong
40) question not provided in the image so I cannot give a solution.
Reorder the steps to construct Angle JOB, a copy of Angle A.
__ Construct oj
__ Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A.
__ On Angle A, set your compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass.
__ Place the point of the compass on the intersection of the arc on OB. Mark an arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.
__ Draw a ray that will become one of the two rays of the new angle. Label the ray OB.
__ Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.
Answer:
The right order is given as follows;
_Draw a ray that will become one of the two rays of the new angle, label OB
_Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A
_On Angle A, set the compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass
_Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.
_Place the point of the compass on the intersection of the arc on OB. Mark an arc arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.
_Construct OJ
Step-by-step explanation:
1) The first step is to draw a line in the location where the angle to be copied is to be constructed
2) The distance of two points on the rays forming the angle to be copied from the vertex are found by drawing an arc from the vertex and setting the compass opening width to the distances between the intersection of the arc and the rays
3) With the set compass width from the step above, an arc is drawn which intersects the constructed first new ray. The arc is made to extend to a large angle to accommodate large angle sizes
4) From the point of intersection of the arc on the new line, another arc is drawn to intersect the previous arc located on the new line construction
5) Join the point intersection of the two arcs on the new construction to the start point of the constructed first new line (the point from which the first arc was constructed to complete the construction of a copy of the angle.