Answer:
[tex]1\frac{1}{4} c[/tex]
Step-by-step explanation:
[tex]c+\frac{1}{4}c[/tex]
Rewrite the expression
[tex]= 1c+\frac{1}{4} c[/tex]
Add
[tex]= 1\frac{1}{4} c[/tex]
Therefore, [tex]c+\frac{1}{4}c[/tex] is equal to [tex]1\frac{1}{4} c[/tex].
I hope this helps!
PLEASE HELP ME on #57 WITH ALL WORK SHOWN!!
Tmr is my exam pls help...
=========================================================
Explanation:
Recall that quadratic form is ax^2+bx+c.
So we need an x^2 term followed by an x term, then a constant at the end.
It may not look it, but the given equation is nearly in quadratic form.
Rewrite 9^(2x) as (9^x)^2
We get this equivalent equation (9^x)^2 - 2*(9^x) - 3 = 0
From here, let's make w = 9^x. Replace every copy of '9^x' with 'w' and we end up with this new simpler equation: w^2 - 2w - 3 = 0
From here we can use the quadratic formula or factor. I'll factor.
w^2 - 2w - 3 = 0
(w - 3)(w + 1) = 0
w-3 = 0 or w+1 = 0
w = 3 or w = -1
---------------------
Now we use these values of w to find x
If w = 3, then,
w = 9^x
3 = 9^x
log(3) = log(9^x)
log(3) = x*log(9)
x = log(3)/log(9)
x = log(3)/log(3^2)
x = log(3)/(2*log(3))
x = 1/2
At the last step, we have the log(3) terms cancel.
Repeat for w = -1
w = 9^x
-1 = 9^x
log(-1) = log(9^x)
We run into a problem. The log of any negative number is not a real number output. In other words, 9^x is never negative. Raising any positive number to a real number output leads the result to be positive. Take a look at the graph of y = 9^x to confirm this.
In short, w = -1 is extraneous so it doesn't lead to any x value solution.
So only w = 3 is useful.
Ultimately, the only solution is x = 1/2.
A rectangular prism is 4 meters long, 5 meters wide, and has a height of 7 meters. What is its volume?
166 m 3
70 m 3
84 m 3
140 m 3
Answer:
The volume of a rectangular prism = V = 140 m³
Step-by-step explanation:
Given:
Length l = 4 mWidth w = 5 mHeight h = 7 mTo Determine:
The volume of rectangular prism = VUsing the formula to determine the volume of the prism
V = l × w × h
V = 4 × 5 × 7
V = 140 m³
Therefore, the volume of a rectangular prism = V = 140 m³
A 5 foot tall student casts a shadow that is 8 feet long. A 12.5 foot flag pole close by casts a shadow with an unknown length, s. What is the length of the flag pole’s shadow, s?
Answer:
15.5
Step-by-step explanation:
y + 2/5y whats is its equivalent expression
Answer:
(7 y)/5 I think...
Step-by-step explanation:
Need help asap not really good with these types of questions
Step-by-step explanation:
AC = AD result : given (Side congruence)
CB = DB result: given (Side congruence)
AB =AB result : reflexive property (side congruence)
ACB=ADB (SSS)
Find the missing side length. Round to the nearest TENTHS place if
necessary
Answer:
2 is your answer
Step-by-step explanation:
What is the area of figure ABCD?
(image of figure down below)
104 square inches
120 square inches
136 square inches
168 square inches
Answer:
a
Step-by-step explanation:
Select the correct location on the table.
Luke solved a rational equation as shown, but his work contains an error. Identify the step in which Luke made an error.
Answer:
someone plz answer this I need the answer
Step-by-step explanation:
PLEASE HELP ME QUICKLY
I NEED HELP WITH THIS QUESTION
Answer:
69
Step-by-step explanation:
All of the angles in the triangle will add together to be 180 degrees. So to find angle M, you add the two angles that you have together (79 + 32) to get 111. You then subtract 111 from 180 to get angle M (69).
Mark brainiest pls :)
Man travelled twofifth of his journey by train,onethird by bus, one fourth by car and thr remaining 3 km by foot . What is the length of his total journey
Answer:
180 km
Step-by-step explanation:
Let total length of journey = x
By train = 2/5x
By bus = 1/3x
By car = 1/4x
By foot = 3km
(2/5)x + (1/3)x + (1/4)x + 3 = x
L. C. M of 5, 3 and 4 = 60
(24x + 20x + 15x) / 60 = x
24x + 20x + 15x + 180= 60x
24x + 20x + 15x - 60x = - 180
-x = - 180
x = 180
Hence, total length of journey = 180km
The product of two numbers has a 5 in the ones digit. Are the two numbers even or odd
The ones digit of the product of two numbers has an odd 5 in it.
What are products?
The outcome of one or more multiplications is referred to as a "product." For instance, the mathematical statement "times equals" would be written with the multiplier, the multiplicand, and their product as the variables.According to our question,
You might perform a simple calculation like 5x5 to get the odd value of 25, as 5 is odd.hence,The ones digit of the product of two numbers has an odd 5 in it.
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n2 = 39
HELP YALL ILL GIVE BRAINLY
Answer: 78
Step-by-step explanation: multiply 39 by 2
Which of these investments are intended to collect dividends as income?
bonds
real estate
savings account
stocks
Answer:
stocks
Step-by-step explanation:
Stocks are the type of investment that are intended to collect dividends as income, mainly referred to as dividend stocks. Companies pay these dividends to investors who hold stocks from their company and these dividends are usually paid out quarterly, meaning four payments per year. The other options provided provide forms of passive income but they are not considered dividend payments.
The discount of a hat is 18 Dollars,
what is the regular price
20°/• discount
Answer:
14.4 dollars
Step-by-step explanation:
the Hat has 20 percent discount
The Hat with discounted price is 18 dollars
the 20% of 18 dollar is 3.6 dollars
hence if we subtract 3.6 dollars from 18 dollars
we get 14.4 dollars as regular price
If g(x) = 2x2 + 6x + 5, use synthetic division to find g(-5).
=================================================
Explanation:
Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).
Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.
As a way to check the answer, we can say
g(x) = 2x^2 + 6x + 5
g(-5) = 2(-5)^2 + 6(-5) + 5
g(-5) = 25
So the answer is confirmed.
Solve each equation mentally for x.
5/2 • x = 1
Your answer must be in the form of a fraction.
You need to get x by itself to solve
So to get rid of 5/2, you need to multiply both sides by the reciprocal or 2/5...
5/2*2/5 = 1 which we don't write and 1*2/5 = 2/5
So now you'd have x =2/5
Can someone put this into slope intercept form?
4x + y *insert greater than or equal to sign here* 2
i’ll give brainliest to first person with an actual answer
(20 point question)
Answer:
y>=-4x+2
Step-by-step explanation:
Answer:
Greater than 2
Step-by-step explanation:
Have trust
A= 12.8m
B=13.9m
C=12m
D= 7m
Answer:
C: 12m
Step-by-step explanation:
We can solve this by using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex]
For this triangle
a= x b= 5 c= 13
We now have the equation
[tex]x^{2} + 5^{2} =13^{2}[/tex]
If we simplify this we get
[tex]x^{2} + 25 = 169[/tex]
Next, we subtract 25 from both sides
[tex]x^{2} = 144[/tex]
Finally, if we take the square root of both sides of the equation, we find that
x= 12
Yes, because each input has an output.
Yes, because 3 has one output.
No, because 1 has two inputs.
No, because -2 has two outputs.
Answer:
no because -2 has two outputs
Equation of the Line
Lesson
I
After going through this lesson, you are expected to find the equation of a
line given (a) two points, (b) the slope and a point and (c) the slope and its
intercepts
From the given linear equation, we can determine 2 points that will satis-
fy the equation. Also we can determine the slope and the y- intercept so as the
x and y intercepts.
Example: Given - 2x + y = 6
Find: a. two points that will satisfy the equation
(b) slope and y-intercept
(c) x and y intercept
Solution:
(a) -2x + y = 6
If x = -1
If y = 2
-21-1) + y = 6
- 2x + 2 = 6
2 + y = 6- y = 4
-2x = 4-x= -2
The point is (-1,4)
The point is (-2, 2)
(b) Change the equation to slope intercept form : y = 2x + 6
Therefore the slope m = 2 and the y-intercept b = 6
(c) Find the and y intercept of -2x + y = 6
Let x = 0, -2(0) + y = 6; y = 6. the intercept is (0,6)
Let y = 0, -2x + 0 = 6; -2x = 6, X = -3, the y intercept is (-3,0)
Learning Task 1 : From the given equation of the line a) find two points that will
satisfy the equation, b) the slope and the y intercepts and c) the x and y-
intercepts.
2.
3y - X9
1. 3x + 2y = 5
9514 1404 393
Answer:
a) (0, 5/2), (5/3, 0)
b) m = -3/2; b = 5/2
c) (5/3, 0), (0, 5/2)
Step-by-step explanation:
Given:
3x +2y = 5
Find:
a) two points that satisfy the equation
b) slope and y-intercept
c) x-intercept
Solution:
Since the intercepts are points on the line, finding them satisfies all parts of the question except finding the slope.
a) Let x=0. Then we can find y from ...
3·0 +2y = 5
y = 5/2
One point is (0, 5/2).
Let y=0. Then we can find x from ...
3x +2·0 = 5
x = 5/3
Another point is (5/3, 0).
Two points on the line are (0, 5/2) and (5/3, 0).
__
b) The slope can be found using the slope formula on the two points we found.
m = (y2 -y1)/(x2 -x1)
m = (0 -5/2)/(5/3 -0) = -(5/2)/(5/3) = -3/2
The slope is -3/2. The y-intercept is 5/2.
__
c) The x- and y-intercepts are (5/3, 0) and (0, 5/2), respectively.
Choose the graph that matches the system of inequalities.
–x + y ≤ –1
x + 2y ≥ 4
Answer:
The correct
answer is B
The correct option is B)
What is a feasible region?A feasible region satisfies all the inequalities of a linear programming problem. It is based on the technique of optimization.
Given here the inequalities as –x + y ≤ –1
x + 2y ≥ 4
The graph plotting the two equations is plotted in the attached file
Hence from the given graph option B is the correct option.
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Ryan is saving money to buy a skateboard that cost $85.00. He has already saved $40.00 and plans to save the same amount each week for 3 weeks. How much should he save each week to buy the skateboard?
Answer:
i got 45 but I'm not sure
Step-by-step explanation:
so if he is saving up fot the skate board,
you would need to multiply 40 × 3 that will give you 120, then after that I subtracted 85 from 120 and got 45 but like I said I'm not so sure
What dividend is represented by the synthetic division below?
Answer:
the dividend is 2x^3 + 10x^2 + x + 5
Step-by-step explanation:
I took the test and I got a 100%
Answer:
the dividend is 2x^3 + 10x^2 + x + 5
Step-by-step explanation:
Which of the following statements about air masses is true?
A.
Air masses maintain the same moisture and temperature as they move over new areas.
B.
Air masses are areas of condensed water vapor, which are also known as clouds.
C.
Air masses are responsible for creating holes in the ozone layer.
D.
Air masses are created by patterns of heating and cooling of the Earth's surface.
Air masses are created by patterns of heating and cooling of the Earth's surface. Therefore, option D is the correct answer.
Air masses are large bodies of air that move over the Earth's surface. They are created when large amounts of air are heated and cooled in different areas of the Earth. As the air masses move, they maintain the same moisture, temperature, and other characteristics they had when they originated. Air masses are responsible for many of the weather patterns we experience on Earth.
Therefore, option D is the correct answer.
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What inequality is shown by the graph? algebra 1
I need help with this. This is a test so please answer is correctly!!!
Answer:
4 batches
Step-by-step explanation:
just took the quiz can i have Brainliest pls
Answer:
4 batches
Step-by-step explanation:
Half a pepperoni pizza plus three fourths of a ham-and-pineapple pizza contains 765 Calories. One fourth of a pepperoni pizza plus a whole ham-and-pineapple pizza contains 745 Calories. How many Calories are in a whole pepperoni pizza? How many Calories are in a whole ham-and-pineapple pizza?
Answer:
Let x be the number of calories in the pepperoni pizza and y be the number of calories in ham-and-pineapple pizza. Then, we can make two equations out of the problem statement.
Eq 1: (1/2)x + (3/4)y = 765
Eq 2: (1/4)x + y = 745
By transposing, Eq 2 becomes: y = 745 - (1/4)x. We substitute this to Eq. 1:
(1/2)x + (3/4)(745 - (1/4)x) = 765
x = 660
Then we substitute x to Eq 2 to get y:
y = 580
Thus, there is 660 calories in pepperoni pizza and 580 calories in ham-and-pineapple pizza.
Solve for x:
3x – 2 (5 – x) = 30
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3x - 2(5 - x) = 30
Step 2: Solve for x
Distribute -2: 3x - 10 + 2x = 30Combine like terms: 5x - 10 = 30Isolate x term: 5x = 40Isolate x: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8) - 2(5 - 8) = 30Multiply: 24 - 2(5 - 8) = 30Subtract: 24 - 2(-3) = 30Multiply: 24 + 6 = 30Add: 30 = 30Here we see that 30 does indeed equal 30.
∴ x = 8 is the solution to the equation.
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
11,60,62
Hope this helps
What is 23/24 as a decimal rounded to the nearest hundredth?
Answer:
95.80
Step-by-step explanation:
The number 23/24 rounded to the nearest hundredth is 0.96
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Given data ,
Let the number be A = 23/24
So , in order to round the number
First we need to find the decimal for of the number A
And ,
A = 23/24
A = 0.9583
And , rounding the number to its nearest hundredth is rounding the number to two decimal places
So ,
A = 0.9583
A = 0.96
Hence , The number 23/24 rounded to the nearest hundredth is 0.96
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