Answer:
You pay 14.85
You save 12.15
Step-by-step explanation:
Trust
What is the solution to the following inequality?
-16<14-5x
find the product of following:(i) (x+3) (x+2) (ii) (2x-1) (2x-7)
Part (i)
Answer: x^2 + 5x + 6-----------------
Work Shown:
(x+3)(x+2)
y(x+2) ..... Let y = x+3
y*x + y*2 ... distribute
x(y) + 2(y)
x(x+3) + 2(x+3) .... plug in y = x+3
x*x + x*3 + 2*x + 2*3 ... distribute
x^2 + 3x + 2x + 6
x^2 + 5x + 6
=====================================================
Part (ii)
Answer: 4x^2 - 16x + 7-----------------
Work Shown:
We could follow the same set of steps as shown back in part (i), but I'll show a different approach. Feel free to use the method I used back in part (i) if the visual approach doesn't make sense.
The diagram below is a visual way to organize all the terms. Many textbooks refer to it as "the box method" which helps multiply out any two algebraic expressions.
Each inner cell is found by multiplying the corresponding outer terms. For instance, in the upper left corner we have 2x*2x = 4x^2. The other cells are filled out the same way.
The terms in those four inner cells (gray boxes) are:
4x^2-14x-2x7The like terms here are -14x and -2x which combine to -16x, since -14+(-2) = -16.
We end up with the answer 4x^2-16x+7
Can someone help me with this?
Answer:
3. a) 37 b) 48 c) 48 d) 24
Step-by-step explanation:
What is the value of x?
Pythagorean theorem
Answer:
x=34
Step-by-step explanation:
a^2 + b^2 = c^2
16^2 + 30^2 = c^2
256 + 900 = c^2
1156 = c^2
sqrt1156 = c
34 = c
34 = x
Checked work with a calculator. Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, be safe and wash your hands. Happy Holidays.
Answer:
x = 34
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to find the missing side.
Step 2: Identify Variables
Leg a = 30
Leg b = 16
Hypotenuse c = x
Step 3: Solve for x
Substitute [PT]: 30² + 16² = x²Exponents: 900 + 256 = x²Add: 1156 = x²Isolate x: 34 = xRewrite: x = 34A restaurant sells cheeseburgers to chicken sandwiches in a ratio of 7:2. If the restaurant sells 12 chicken sandwiches one day, how many cheeseburgers does it sell
Answer:
Food problems are fun :D
Step-by-step explanation:
[tex]\frac{7}{2}[/tex] = [tex]\frac{cheeseburgers}{chicken}[/tex]
chicken =12 sooo..
[tex]\frac{7}{2}[/tex] = [tex]\frac{x}{12}[/tex]
and solve for x.... that is... get x by itself... "isolate x"
12 * [tex]\frac{7}{2}[/tex] = x
6 * 7 = x
42 = x
the restaurant sold 42 cheeseburgers :P
How are operations on functions like operations on real numbers?
please help!!!! 20 points
Step-by-step explanation:
I am explain you in image
Which graph models the equation - 3x + 4y = 8?
15. A soccer ball kicked into the air reaches 15 feet in 3 second and falls to 4 points
3 feet after 5 seconds. What is the rate of change between the 3rd second
and the 5th second? Hint: your ordered pairs should be (times in seconds,
height in feet). Your answer should be in feet/s. *
Answer:
2.6 ft/s
Step-by-step explanation:
Given that a soccer ball kicked into the air reaches 15 feet in 3 second. The first rate or speed will be:
Rate 1 = 15/3 = 5 feet/s
and falls to 3 feet after 5 seconds. Also, the second rate or second speed will be:
Rate 2 = ( 15 - 3 ) / 5
Rate 2 = 12 / 5
Rate 2 = 2.4 ft/ s
What is the rate of change between the 3rd second and the 5th second? That is, the change in speed. Which can be expressed as:
The rate of change = 5 - 2.4
The rate of change = 2.6 ft/s
find the measures of the numbered angles in the rhombus, will give brainliest ! pls show how you solved it :)))
Answer:
∠1 = 72°
∠2 = 54°
∠3 = 54°
∠4 = 72°
Step-by-step explanation:
In the isosceles triangle in which ∠4 is the top vertex angle and ∠3 & 54° are it's base angles. As it is an isosceles triangle , ∠3 = 54°
Using angle sum property of a triangle ,
∠4 + ∠3 + 54° = 180°
⇒ ∠4 + 54°+ 54° = 180°
⇒ ∠4 = 180° - 108° = 72°
Diagonals of a rhombus bisect the vertex angles of a rhombus. So,
∠2 = ∠3 = 54°
Also , opposite vertex angles of a rhombus are equal, So , ∠1 = ∠4 = 72°
somebody can give me a redeem code pls
Answer:
Lol for what
Step-by-step explanation:
pls help i swear my dad will explode if dont get this question plsss help
Drag all of the division problems that have an estimated quotient of 12 into the box. 8 ÷ 0.95 18 ÷ 2.2 47.6 ÷ 3.9 10.6 ÷ 1.89 71.9 ÷ 6.5 123.4 ÷ 9.2 157.4 ÷ 16.4
Answer:
This is only one that includes 12 in its quotient, other quotients are 11 and 13 so I didn't add them :)
47.6/3.9
Step-by-step explanation:
so it is a estimate to 12 not 12 exact
Step-by-step explanation:
sorry
It's Snowing in Syracuse
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of
snow has fallen.
14 CW
Time (hours) Snow (inches)
10 points
1
Ad or create
Please complete
4
6.5
Class comments
X
1. If it continues to snow at the same rate, how many inches of snow
would you expect after 6.5 hours? If you get stuck, you can use the
table to help
115
2. Write an equation that gives the amount of snow that has fallen after
x hours at this rate.
3. How many inches of snow will fall in 24 hours if it continues to snow at
this rate?
Answer:
13 inches ; 2 inches per hour ; 48 inches
Step-by-step explanation:
Given that :
Inches of snow after 2 hours = 4 inches
Since, snow is falling steadily ;
We can infer that:
Inches of snow per hour : (4 in / 2 hrs) = 2 in / hr
Hence, rate of snow fall = 2in /hr
Inches of snow after 6.5 hours
Rate per hour * Numbee of hours
2 * 6.5
= 13 inches
Amount of snow after x hours :
Rate * x
2 * x
= 2x
Inches of snow after 24 hours
2 * 24 hrs = 48 inches
Describe how the graph of y= x^2 can be transformed to the graph of the given equation.
y = x^2 - 12 (5 points)
a) Shift the graph of y = x2 left 12 units.
b) Shift the graph of y = x2 down 12 units.
c) Shift the graph of y = x2 right 12 units.
d) Shift the graph of y = x2 up 12 units.
Answer:
b
Step-by-step explanation:
Given y = x² then y = x² + c is a vertical translation of y = x²
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here c = - 12 < 0
Thus y = x² - 12 is the graph of y = x² shifted 12 units down → b
Answer:
b) Shift the graph of y = x2 down 12 units.
Step-by-step explanation:
Graphs
The graph of the function
[tex]y=x^2[/tex]
can be found by giving the variable x some values and calculating the values of y as follows:
For x=-2, [tex]y=(-2)^2=4[/tex]. Point (-2,4)
For x=-1, [tex]y=(-1)^2=1[/tex]. Point (-1,1)
For x=0, [tex]y=(0)^2=0[/tex]. Point (0,0)
For x=1, [tex]y=(1)^2=1[/tex]. Point (1,1)
For x=2, [tex]y=(2)^2=4[/tex]. Point (2,4)
The graph of
[tex]y=x^2-12[/tex]
Can be similarly found:
For x=-2, [tex]y=(-2)^2-12=-8[/tex]. Point (-2,-8)
For x=-1, [tex]y=(-1)^2-12=-11[/tex]. Point (-1,-11)
For x=0, [tex]y=(0)^2-12=-12[/tex]. Point (0,-12)
For x=1, [tex]y=(1)^2-12=-11[/tex]. Point (1,-11)
For x=2, [tex]y=(2)^2-12=-8[/tex]. Point (2,-8)
The graphs are shown in the attached image. It can be clearly seen that the second graph (in blue) is shifted down 12 units with respect to the red graph. Answer:
b) Shift the graph of y = x2 down 12 units.
Help me pleaseeeeeeeeeeeee
Answer:
i think the first one
Step-by-step explanation:
Answer:
A. 2x2y +7xy2
Step-by-step explanation:
Write 34/38 in lowest terms
The lowest term of 34/38 is 17/19.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
34/38
= 17/19
Thus,
17/19 is the lowest term.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ2
Liam and his twin sister, Lexi, are frosting cupcakes for a school bake sale. Liam frosts 8 vanilla cupcakes and 16 chocolate cupcakes. Lexi has less time, so she only frosts 4 vanilla cupcakes and 8 chocolate cupcakes. At the bake sale, the vanilla cupcakes are more popular than the chocolate ones. Who frosted a greater ratio of vanilla cupcakes to chocolate cupcakes HELP YALL
Answer:
They frosted the same amount
Step-by-step explanation:
did it on IXL and got it right ("Wonderful!")
f(x)=x−5 translated 2 units down
I will mark branliest!
Answer:
C
Step-by-step explanation:
If he collects 25 cans everyday,
and you use -s- for the number of days.
Multiply to get the total amount of cans.
4. Which statement is true?
A. The value of the 7 in 17,265 is 20 times the value of the 7 in 26,173.
B. The value of the 7 in 17,265 is 10 times the value of the 7 in 26,173.
C. The value of the 7 in 17,265 is 100 times the value of the 7 in 26,173.
D. The value of the 7 in 17,265 is to times the value of the 7 in 26,173.
Simplify the equation: (3√-5+2)(4√-12-1)
Answer:
undefined
Step-by-step explanation:
square root of a - # does not exist in the set of real numbers
find the zeros (roots) of the following equations.
f(x) = 2x^5-9x^4+12x^3-12x+10x-3=0
I need to find five roots
9514 1404 393
Answer:
x ∈ {1/2, 1, 3, i, -i}
Step-by-step explanation:
We assume your function is supposed to be ...
f(x) = 2x^5 -9x^4 +12x^3 -12x^2 +10x -3=0
I find it convenient to use a graphing calculator to find the real roots of higher-degree polynomials. The attached shows the real roots are ...
x = 1/2, 1, 3
Factoring those out leaves the quadratic factor ...
x^2 +1 = 0
That one has roots ±i.
So, the full complement of roots is ...
x ∈ {1/2, 1, 3, i, -i}
_____
Descartes' rule of signs tells you the real roots are all positive. The rational root theorem tells you that rational roots are in the set {1/2, 1, 3/2, 3}. The sum of coefficients is 0, telling you that x=1 is a real root.
Factoring that from the polynomial leaves the 4th-degree factor ...
2x^4 −7x^3 +5x^2 −7x +3 . . . . . division shown in 2nd attachment
For x=1, this has a negative value (-4), so you know there is a root between f(0) =3 and f(1) = -4. The only rational choice is 1/2.
Similarly, factoring that from the polynomial (along with a factor of 2) leaves the cubic ...
x^3 -3x^2 +x -3 . . . . . division shown in 3rd attachment
This is clearly factorable by grouping to (x -3)(x^2 +1), so we have our third real root and the quadratic that yields the complex roots.
Which of the following is not the same as positive 7?
1. 0 +7
2. 07
3. 7 units to the left of O on a number line
4. the opposite of -7
Answer:
the answer is 3 because is you go left it turns it negative
Enter the range of values for x: AB=AD
Answer:
6 < x < 30
Step-by-step explanation:
The angle of the side AB = 48 degrees
the angle of the side AD = 2x - 12 degrees
If the angle AD is greater than zero;
2x -12 > 0
= 2x > 12
= x > 12/ 2
= x > 6
if the maximum angle of AD is equal to angle AB, then;
= 2x -12 = 48
2x = 48 + 12
2x/ 2 = 60 / 2
x = 30
Therefore, the range of x is; 6 < x < 30
Chris has 115$ to spend at a shopping mall . If he decides to spend $42 on clothing and $37 on food how much money will he have left
Answer:
$36 left
Step-by-step explanation:
42+37=79
115-79=36
oH mY gOd I dOnT kNoW what is 5 + 3 /s
Answer:
8/s
Step-by-step explanation:
do you really not no this or are you being sarcastic
In a soccer game, Dalton scores 5 out of 8 shots on the goal. If he continues at that same rate, how many goals would he score if he made 168 shots on the goal?
Answer:
He would have made 105 shots!
Step-by-step explanation:
8 shots × 21 is 168
5 shots × 21 is 105
So, he scored 105/168
A building is 50 ft high. At a distance away from the
building, a person notices that the angle of elevation
with the ground to the top of the building is 41°.
How far is the person from the base of the building?
Scientist Dr. Sparks counted the flashes of lightning he saw around his home town for three months. He saw 25 in June, 51 in July, and 62 in August. A. What is the average number a month? B. What is the average number he saw in a day? If you help, please answer quickly after this is posted!!!
Answer:
Average number in a month = 46
Average number in a day = 1.5
Step-by-step explanation:
Given that:
Scientific Dr. Sparks has counted the flashes of lightning around his home for a period of 3 months.
Number of sparks counted in June = 25
Number of sparks counted in July = 51
Number of sparks counted in August = 62
To find:
Average number in a month ?
Average number in a day ?
Solution:
Average of observations can be defined as the ratio of total sum of all the observations to the total number of observations.
[tex]Average = \dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]
Average as per month = [tex]\frac{25+51+62}{3} =\frac{138}{3} = 46[/tex]
To find the average number in a day, we need to first find the number of days.
Number of days in June = 30
Number of days in July = 31
Number of days in August = 31
Total number of days = 92
Average as per month = [tex]\frac{25+51+62}{92} =\frac{138}{92} = 1.5[/tex]
help please I beg you I need to return it tomorrow
Answer:
it will be 3x+1. it means 3 multiplied by my number plus 1
Answer: Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. For example: Distributive
Multiplication distributes over addition. That is:
∀
Simplify
7⁸×7³×7⁴÷7⁹×7⁵
Answer:
7^53
Step-by-step explanation:
8x3=24
24x4=96
96/9=10.6
10.6x5=53
Answer:
7^11
Step-by-step explanation:
There is a rule for simplifying exponents: n^a + n^b = n^a+b.
The rule applies here too. 7 is the n and the exponents on top are a and b. Following the rule:
[tex] {7}^{8} \times {7}^{3} = {7}^{8 + 3} = {7}^{11} [/tex]
Then you continue this formula:
11+4-9+5 = 11
Since the end result is 11 the answer is
[tex] {7}^{11} [/tex]