Simplify x + 15 - 4.
Answers
Answer:
[tex]x+11[/tex]
Step-by-step explanation:
In order to simplify this:
[tex]x+15-4[/tex]
You just need to substract like terms:
[tex]15-4=11[/tex]
Hence, the simplified is expression is:
[tex]x+11[/tex]
This represents a line which intercepts with the y-axis at 11 and with the x-axis at -11. I attached you the graph.
The simplified form of the expression is x + 11.
How do we simplify the expression?To simplify the expression "x + 15 - 4", you just need to do the addition and subtraction operation:
x + 15 - 4 = x + 11
Simplifying an expression means to make it as easy to understand as possible. This can involve combining like terms, removing unnecessary parentheses, and using the distributive property.
In the expression x + 15 - 4, the like terms are x and 15. These terms can be combined to give x + 11. The parentheses around the 15 are unnecessary, so they can be removed. The simplified expression is x + 11.
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Related Questions
The sum of the first and third of three consecutive even integers is 128. find the three even integers.
Answers
Final answer:
The three even integers are 62, 64, and 66.
Explanation:
The sum of the first and third of three consecutive even integers is 128. To find the three even integers, we start by letting the first integer be x. Because the integers are consecutive even numbers, the second integer will be x + 2 and the third will be x + 4. The sum of the first and third integers gives us the equation:
x + (x + 4) = 128
Solving this equation:
Combine like terms: 2x + 4 = 128.
Subtract 4 from both sides: 2x = 124.
Divide both sides by 2: x = 62.
So, the first even integer is 62. Consequently, the second is 62 + 2 = 64, and the third is 62 + 4 = 66. Therefore, the three consecutive even integers are 62, 64, and 66.
Express the volume v of the box as a function of the length x of the sidfe of the square cut from each corner
Answers
It snowed 4 times during October. The snowfall amounts were 0.75 inches, 1.93 inches, 4.73 inches, and 2.33 inches. What was the total snowfall for October?
Answers
The total snowfall for October was 9.74 inches. Adding the snowfall amounts of 0.75, 1.93, 4.73, and 2.33 inches resulted in this sum.
Let's break down the calculation step-by-step:
Identify the given snowfall amounts for October:
The snowfall amounts are 0.75 inches, 1.93 inches, 4.73 inches, and 2.33 inches.
Add up the snowfall amounts to find the total:
Total snowfall = 0.75 inches + 1.93 inches + 4.73 inches + 2.33 inches.
Perform the addition
Total snowfall = 9.74 inches.
The total snowfall for October was 9.74 inches. This result is obtained by adding all four individual snowfall amounts together.
So, the calculation in step-by-step form is as follows:
0.75 + 1.93 + 4.73 + 2.33 = 9.74 inches.
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Is 0 prime odd or even prime or composite?
Answers
Answer:
0 is nor prime or composite
Step-by-step explanation:
The definition of a prime number is a positive integer that has exactly two positive divisors. Therefore, the simplest reason why 0 is not prime is that 0 is not a positive integer, and the axiom says that all whole numbers greater than 1 are either prime or composite.
The perimeter of a rectangle is 44 inches, and its area is 105 square inches. find the length and width of the rectangle.
Answers
Area = LengthxWidth
P=(L+W)x2
P/2=L+W
L=P/2 - W
Area=(P/2 - W)(W)
A=WP/2-W^2
105=W(44)/2 - W^2
105=22W - W^2
W^2-22W+105=0
(W-7)(W-15)=0
Width= 7 or 15
A=LxW
105=Lx7
105/7=L
L=15
Length is 15 inches, Width is 7 inches.
Four times the difference of a number and seven is 32
Answers
This solves to n-7 = 8, so n=15
Question 1 (3 points) study the Proof Given.
List the reasons for Items 2,3, & 4.
Right the number and then the answer.
Question 2 (3 points
)Study the Proof: Give the reasons for the missing reason. List the number and then state the reason.
Answers
2. Definition of midpoint
3. Given
4. Transitive Property
Question 2
1. Given
2. Addition Property of Equality
3. Segment Postulate Property.
16 pound turkey cost $14.24 what is the price per pound
Answers
$14.24 divided by 16
What is the 100th term in the following arithmetic number pattern: 2,7,12
Answers
Amber has 4/5-pound bag of colored sand. She uses 1/2 of the bag for the project. How much sand does she use for the project?
Answers
4/5 - 1/2= 8/10-5/10
Answer:
[tex]\frac{2}{5}[/tex]-pound of sand
Step-by-step explanation:
We have been given that Amber has [tex]\frac{4}{5}[/tex]-pound bag of colored sand. She uses 1/2 of the bag for the project.
We need to find 1/2 'of' the 4/5 as:
[tex]\frac{4}{5}\times \frac{1}{2}[/tex]
[tex]\frac{4\times1}{5\times2}[/tex]
[tex]\frac{2\times1}{5\times1}[/tex]
[tex]\frac{2}{5}[/tex]
Therefore, Amber used [tex]\frac{2}{5}[/tex]-pound of sand for the project.
An exhibit at Tabu World Square in Japan includes a scale model of the Empire State Building. The model was built using a scale of 1 m : 25 m. The height of the actual Empire State Building is 443.2 meters. What is the height of the model? Round your answer to the nearest thousanths place.
Answers
The actual height = 443.2 m
Therefore the scaled height is 443.2/25 = 17.7280 m
Answer: 17.728 m (nearest thousandth)
A kennel owner needs 4 1/2 feet of wall space for each crate. How many crates can she fit along a 27 foot wall?
Answers
Explain why the following statement are equivalent 4(x+y)=4x+4y
Answers
The equation 4(x+y)=4x+4y represents the same value after solving.
What is Distributive Property?This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
Given:
We have 4(x+y)=4x+4y.
We have the Distributive Property
a x ( b+ c )= a x b + a x c
let x= 2 and y = 5
So, 4 (x+ y) = 4 (2+ 5)= 4(7) = 28
and, 4x+ 4y= 4(2)+ 4(5) = 8+ 20 = 28
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Long Division for a quadratic polynomial and binomial, please show your work!
Quadratic polynomial: x^2-x-6=f(x)
Binomial: (x-3)
Answers
[tex]\(x^2 - x - 6\)[/tex] can be expressed as the product of [tex]\((x - 3)\) and \((x - 2)\)[/tex]. The long division image is given below.
Long division for polynomials is similar to long division for numbers. We'll divide the quadratic polynomial [tex]\(f(x) = x^2 - x - 6\)[/tex] by the binomial [tex]\((x - 3)\)[/tex].
Here's a step-by-step breakdown of the process:
1. Start by dividing the highest-degree term of the dividend (in this case, [tex]\(x^2\)[/tex]) by the highest-degree term of the divisor (in this case, [tex]\(x\))[/tex]. This gives us [tex]\(x\)[/tex].
2. Multiply the divisor [tex]\((x - 3)\)[/tex] by the result from step 1, which is [tex]\(x\),[/tex] and write the result below the dividend, aligning like terms. So, [tex]\(x \cdot (x - 3) = x^2 - 3x\)[/tex].
3. Subtract the result from step [tex]2 (\(x^2 - 3x\))[/tex] from the dividend ([tex]\(x^2 - x - 6\)[/tex]). This gives us [tex]\(x^2 - x - 6 - (x^2 - 3x)\)[/tex], which simplifies to [tex]\(-x + 3x - 6\),[/tex] resulting in [tex]\(2x - 6\)[/tex].
4. Now, we repeat the process with the new expression [tex]\(2x - 6\)[/tex]. We divide the highest-degree term ([tex]\(2x\)[/tex]) by the highest-degree term of the divisor [tex](\(x\)),[/tex] which gives us [tex]\(2\).[/tex]
5. Multiply the divisor [tex]\((x - 3)\)[/tex] by the result from step 4, which is [tex]\(2\)[/tex], and write the result below the previous result: [tex]\(2 \cdot (x - 3) = 2x - 6\)[/tex].
6. Subtract the result from step [tex]5 (\(2x - 6\))[/tex] from the previous expression [tex](\(2x - 6\))[/tex], which results in [tex]\(0\)[/tex].
Since we have a remainder of [tex]\(0\),[/tex] this means that [tex]\(x^2 - x - 6\)[/tex] is evenly divisible by [tex]\((x - 3)\)[/tex], and the quotient is [tex]\(x - 2\).[/tex] The final result is:
[tex]\[ \frac{x^2 - x - 6}{x - 3} = x - 2 \][/tex]
This tells us that [tex]\(x^2 - x - 6\)[/tex] can be expressed as the product of [tex]\((x - 3)\) and \((x - 2)\)[/tex].
Steven investigates the amount of damage to the head gaskets on the trucks in his fleet and finds that the damage index depends on the ambient temperature. He develops the equation y = - 2 3 x + 14 to model the relationship. If the temperature increases 1 degree, what happens to the damage index for the head gasket?
Answers
Answer:
d
Step-by-step explanation:
Solve the following problem for the roots by completing the square
3x^2 -12x = 9
Answers
Divide both sides by 3
x^2 - 4x = 3
To make a square with "x^2 - 4x", you need to have a "+ 4" after it so it can be simplified as (x-2)^2. So add 4 to both sides.
x^2 - 4x + 4 = 7
(x-2)^2 = 7
x - 2 = (square root) of 7
x = 2 (+/-) (square root) of 7.
x = {-0.65, 4.65}
The solutions are -0.65 and 4.65.
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Mason deposited $763.21 in a savings account that earns 1.7% simple interest. What is Mason's account balance after nine years?
Answers
A=p (1+rt)
A future value?
P present value 763.21
R interest rate 0.017
T time 9 years
A=763.21×(1+0.017×9)
A=879.98
Hope it helps!
What is the area of a circle with a radius of 14 feet? use 22/7 for π?
Answers
If you only have a 1/3 measuring cup and a recipe calls for 8 2/3 cups of flour, how many 1/3 cups would you need to use?
Answers
24/3+2/3= 26/3
you are going to need 26 1/3 cups
Graph the image of the given triangle after the transformation with the rule (x, y)→(y, x) .
Answers
Note how the x and y values swap places.
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen.
The purple triangle is the final answer.
Do you know the answer to this question
Answers
_______________________________________________________
Add the following military times: 0645 + 0745
Answers
(Aka 2:30 PM)
40 students are going on a field trip to the aquarium. Every student needs to be in a group, and all groups must have the same number of students. If there is 1 group, there will be students in the group. If there are groups, there will be 20 students in each group. If there are 4 groups, there will be students in each group.
Answers
If there is 1 group there will be 40 students in the group. There will be 20 students in each group if there are 2 groups. If there are 4 groups, there will be 10 students in each group.
What is Division?Division is one of the four basic operations of mathematics.
On performing the operation division, a number is divided into some number of equal parts.
The number which is being divided is called the dividend, the number which divides the dividend is called divisor and the number got when division is performed is called the quotient and the remaining number which has not divided is called the remainder.
Total number of students = 40
If there is 1 group, number of students in the group = 40/1 = 40
If there are 20 students in each group, then the number of groups = 40/20 = 2.
If there are 4 groups, then number of students in each group = 40/4 = 10.
Hence there will be 40 students in the group if there is 1 group. There are 2 groups if there will be 20 students in each group. There will be 10 students in each group if there are 4 groups.
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Find f(x) and g(x) so the function can be expressed as y=f (g (x)).
y=2/x^2 +3
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what property is illustrated by this problem 2(3 + 4) = 2x 3 +2 x 4
Answers
Y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account?
Answers
y = -27x +577
145 = -27x +577
145 -577 = -27x
-432 = -27x
-432/-27 = -27x/-27
16 = x
x = 16
After 16 weeks she will have $145 dollars in her account.
Two thirds of a number is no more than -10
Answers
[tex] \frac{2}{3} [/tex]x≤-10
In order to cancel out the [tex] \frac{2}{3} [/tex] on the left and isolate x, we multiply both sides by [tex] \frac{3}{2} [/tex] (since [tex] \frac{3}{2}[/tex]·[tex] \frac{2}{3} [/tex]=1). Thus, we have
x≤-10·[tex] \frac{3}{2} [/tex]=-15
Therefore, x≤-15
Can someone help me with these maths questions? I totally don't get them.
Do the following coordinates lie on the following graphs?
1) y=2x+4 (7,20)
2) y=4x-14 (-1,-18)
3) y=5x-1 (0.5,2.5)
4) y=-2x+6 (0.8,5.4)
[tex] 5) y=\frac{1}{2}x+2 (0.7,1.6) [/tex]
Answers
1. 2(7) +4 = 18, does not = 20, does not lie on graph
2. 4(-1) -14 = -18, equals -18, does lie on the graph
3. 5(.5)-1 = 1.5, does not = 2.5, does not lie on the graph
4. -2(0.8)+6 = 4.4, does not = 5.4 does not lie on graph
5. 1/2(0.7) +2 = 2.35, does not = 1.6, does not lie on graph
What value of c makes the trinomial below a perfect square x2 + 10x + c?
Answers
x² + 10x + c
calculate the discriminant Δ = b²-4ac a = 1 b = 10 c = c
Δ = 10²-4c
the trinomial below a perfect square when : Δ = 0
10² -4c = 0
4c = 10²
c= 25
x²+10x+25 = x² +2(5)x+5² = (x+5)²
NEED HELP BADLY PLEASEEEE WILL GIVE BRAINLY
List the next three terms in the following sequence:
1, 2, 4, 8, 16, 32,...
a. 48, 80, 128
b. 64, 96, 160
c. 64, 128, 256
d. 46, 92, 184