Answer:
The correct answer option is true.
Step-by-step explanation:
The given statement is true that if there is no linear equation to start with, you can isolate and substitute a variable that is squared in both the equation.
For instance, if we have a non linear equation, start by dividing both sides by coefficient of the variable.
Once you do that and isolate a variable, continue solving by substituting that variable into the other equation.
F= 8/5 (c) + 40 when c=5
Answer:
F = 48
Step-by-step explanation:
F= 8/5 (c) + 40
Let c=5
F = 8/5 * 5 +40
= 8 + 40
= 48
In order for the data in the table to represent a linear function
with a rate of change of -8, what must be the value of m?
Om = 2
Om = 3
Om = 19
m = 35
Answer:
m = 19
Step-by-step explanation:
With a rate of change of -8
27 - 8 = 19
16 - 8 = 11
so m = 19
Answer:
Third option: [tex]m=19[/tex]
Step-by-step explanation:
The rate of change is the slope of the line.
The formula for calculate the slope is:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
You know that:
[tex]slope=-8\\y_2=m\\y_1=27\\x_2=11\\x_1=10[/tex]
Then, you can substitute them into the formula:
[tex]-8=\frac{m-27}{11-10}[/tex]
Finally, you must solve for "m":
[tex]-8=\frac{m-27}{11-10}\\\\-8(1)=m-27\\\\-8+27\\\\m=19[/tex]
The perimeter of a rectangle is 18 feet, and the area of the rectangle is 20 square feet. What is the width of the rectangle?
4 ft or 5 ft
i think thats right
Answer:
The width can be 5 ft or the width can be 4 ft
Step-by-step explanation:
Perimeter = 2 (l+w) for a rectangle
Area = l*w for a rectangle
Using perimeter
18 = 2(l+w)
Divide by 2
18/2 = 2/2 (l+w)
9 = l+w
Solving for l
9-w = l
Using area
20 = l*w
Substituing for l
20 = (9-w) * w
20 = 9w - w^2
Subtract 20 from each side
20-20 =-w^2 +9w -20
0 = -w^2 +9w -20
Multiply by -1
0 = w^2 -9w+20
Factor
0 = (w-5) (w-4)
Using the zero product property
w-5 = 0 w-4 = 0
w= 5 w=4
The width can be 5 ft or the width can be 4 ft
Answer this question thanks :)
First multiply 2 to both sides to isolate h. Since 2 is being divided by h, multiplication (the opposite of division) will cancel 2 out (in this case it will make 2 one) from the right side and bring it over to the left side.
4 < [tex]\frac{h}{2}[/tex]
4 * 2 < [tex]\frac{h}{2}[/tex] * 2
8 < h
For the graph will you have a empty or colored in circle?
If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.
If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.
Which direction will the ray go?
If the variable is LESS then the number then the arrow will go to the left of the circle.
If the variable is MORE then the number then the arrow will go to the right of the circle.
In this case your inequality is:
8 < h OR h > 8
aka 8 is less then h OR h is greater then 8
This means that the graph will have an empty circle and the arrow will go to the right of 8. Look at image below
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
h>8
Step-by-step explanation:
4<h/2
multiply both sides by 2
8<h
Each pound of fruit costs $4. Write an expression that shows the total cost of the fruit. Use the variable you identified in question 1. Btw the variable I used was "f".
Answer:
$[tex]4f[/tex]
Step-by-step explanation:
Let's assume [tex]f[/tex] represents the number of pounds of fruit.
We need to multiply the number of pounds of fruit by the cost per pound.
This is $[tex]f * 4[/tex], or in a simpler form, $[tex]4f[/tex].
In this context, the variable 'f' represents the number of pounds of fruit. In the expression '4f', it means that for every pound of fruit, which costs $4, you multiply the number of pounds by that price to get the total cost.
Explanation:The problem is asking us to provide an equation for the total cost of fruit based on the cost per pound, which is $4. As you identified the variable 'f' in the previous question, let's use that to stand for the number of pounds of fruit.
The written expression for the total cost would then be 4f. This expression says that the total cost is four times the number of fruit pounds ('f') purchased
Learn more about Algebraic Expressions here:https://brainly.com/question/953809
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What is the domain of the function y=^3squareroot of x
PLEASE HELP
Answer:
[0,∞)
Step-by-step explanation:
We can easily solve this question by plotting the equation with the use of a plotting tool or any graphing calculator.
The equation is
y=3^(√x)
Please see attached image
Since the x is inside a square root, we know that x must be greater or equal to zero.
By looking at the graph, we can check that the domain of the function is
[0,∞)
You put the names of all the students in your class in a paper bag. There are 19 boys and 12 girls. If you draw a name at random, what is P(boys name)?
Your question is asking what the probability of picking up a boys name out of the paper bag.
Answer: [tex]\frac{19}{31}[/tex]In order to solve this problem, we're going to have to find the total amount of names in the paper bag and the amount of boy names there are.
When you read the question, you would find some key information in it.
Key Information:
19 boys
12 girls
With the information above, we can find the probability of picking out a boy name out of the paper bag.
To find the porbability, we're going to need to get the total amount of names in the paper bag. We would just add 19 + 12.
[tex]19+12=31[/tex]
Now, we know that there are 31 total names in the bag.
But, we are trying to find the chances of pulling out a boys name. There are 19 boy names in the bag.
We would use the number 19 as our numerator and 31 as our denominator.
Your fraction should look like this:
[tex]\frac{19}{31}[/tex]
The fraction above would represent the probability to pick out a boy name.
Since 19 is a prime number, we wouldn't simplify the fraction.
Therefore, the chances of picking out a boy name from the paper bag is [tex]\frac{19}{31}[/tex]
[tex]\frac{19}{31}[/tex] should be your FINAL answer.
I hope this helps!Best regards, MasterInvestorif f(x)=3x+10x and g(x)=4x-2, find (f-g)(x)
Answer:
(f-g)(x) = 9x + 2
Step-by-step explanation:
(f-g)(x) = (3x+10x) - (4x-2)
= 3x + 10x - 4x + 2
= 9x + 2
Step-by-step explanation: would be the other answer for APEX as of 9/13/19
A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of standard Eskimo dogs are normally distributed, what range of weights would 99.7% of the dogs have?
Approximately 26–34 pounds
Approximately 24–36 pounds
Approximately 28–32 pounds
Approximately 29–31 pounds
Answer:
Option 2 - Approximately 24–36 pounds
Step-by-step explanation:
Given : A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of standard Eskimo dogs are normally distributed.
To find : What range of weights would 99.7% of the dogs have?
Solution :
The range of 99.7% will lie between the mean ± 3 standard deviations.
We have given,
Mean weight of Eskimo dogs is [tex]\mu=30[/tex]
Standard deviation of Eskimo dogs is [tex]\sigma=2[/tex]
The range of weights would 99.7% of the dogs have,
[tex]R=\mu\pm3\sigma[/tex]
[tex]R=30\pm3(2)[/tex]
[tex]R=30\pm6[/tex]
[tex]R=30+6,30-6[/tex]
[tex]R=36,24[/tex]
Therefore, The range is approximately, 24 - 36 pounds.
So, Option 2 is correct.
Answer:
B: Approximately 24–36 pounds
Step-by-step explanation:
1) Irene places a mirror on the ground 24ft from base of an oak tree.she walks backward until she can see the top of the tree in the middle of the mirror. At that point, Irene’s eyes are 5.5 above the ground, and her feet are 4 ft from the mirror.How tall is the oak tree?
Answer:
Oak tree is 33 ft tall.
Step-by-step explanation:
We know that Irene places a mirror on the ground and walks backwards such that the mirror is in between her and the oak tree (as shown in the attached picture).
Given the distance of Irene's eyes from ground, distance between oak tree and mirror and distance between mirror and Irene, we are to find the height of the tree.
For this, we will use the ratio method:
[tex]\frac{T}{24} =\frac{5.5}{4}[/tex]
T = 33 ft
Given f(x) = x squared - 1 and g(x) = x+ 2, what is the value of h(-2) where h(x) = f(g(x))?
Answer: [tex]h(-2)=-1[/tex]
Step-by-step explanation:
We need to find [tex]f(g(x))[/tex]. Substitute the function [tex]g(x)[/tex] into the function [tex]f(x)[/tex]:
[tex]f(g(x)) = (x+ 2)^2- 1[/tex]
Now, we know that the function [tex]h(x)[/tex] is [tex]h(x)=f(g(x))[/tex], then:
[tex]h(x)=(x+ 2)^2- 1[/tex]
In order to find the value of [tex]h(-2)[/tex], we must substitute [tex]x=-2[/tex] into the function [tex]h(x)=(x+ 2)^2- 1[/tex].
Therefore, the value of [tex]h(-2)[/tex] is:
[tex]h(x)=(x+ 2)^2- 1\\\\h(-2)=(-2+ 2)^2- 1\\\\h(-2)=(0)^2- 1\\\\h(-2)=0-1\\\\h(-2)=-1[/tex]
The angles below are supplementary. What is the value of x?
6x + 48)
Answer:
8 is your answer.
Step-by-step explanation:
If i think that i'm doing this right.
6x + 48
6 6 divide by 6 on both sides.
x = 8
Hope my answer has helped you!
x^2 + mx + n = 0, m and n are integers. The only possible value for x is -3. What is the value of m?
plz the solution is necessary
Thanks
Answer:
The value of m is 3
Step-by-step explanation:
we have
[tex]x^{2}+mx+n=0[/tex]
step 1
Find the value of n
For x=0
[tex]0^{2}+m(0)+n=0[/tex]
[tex]n=0[/tex]
step 2
Find the value of m
For x=-3
substitute
[tex]x^{2}+mx=0[/tex]
[tex](-3)^{2}+m(-3)=0[/tex]
[tex]9-3m=0[/tex]
[tex]3m=9[/tex]
[tex]m=3[/tex]
Which of the following is not equal to sin(-230°)?
sin(130°)
-sin(-50°)
sin(50°)
sin(-50°)
Answer:
sin(-50°) is not equal to sin(-230°)
Step-by-step explanation:
You will be required to use a scientific calculator for this.
Step 1 : Find out the value of sin(-230°)
sin(-230°) = 0.766
Step 2 : Find out all the other values and see if they are 0.766 or not.
sin(130°) = 0.766 (It is equal to sin(-230°))
-sin(-50°) = 0.766 (It is equal to sin(-230°))
sin(50°) = 0.766 (It is equal to sin(-230°))
sin(-50°) = -0.766 (It is not equal to sin(-230°))
!!
Answer:
sin(-230°) =sin(50°)
Step-by-step explanation:
1) sin(-a) = -sina
note : 2) sina = sinb : a=b or a+b =180°
in this exercice :
sin(-230°) = - sin(230°) = - sin(-50°)=- (-sin(50°)) =sin(50°) because :
sin(230°) = sin(-50°) because ; 230°+(-50°) =180°
sin(230°) = -sin(50°)
What is the total surface area of the square pyramid?
Answer:
144 in^2
Step-by-step explanation:
There are four triangular sides to this square pyramid. According to the area-of-a-triangle formula, A = (1/2)(b)(h), which here is A = (1/2)(8 in)(5 in) = 20 in^2.
Thus, the total lateral (side) area is 4(20 in^2) = 80 in^2.
The area of the bottom is (8 in)^2, or 64 in^2.
Thus, the total surface area is 80 in^2 + 64 in^2, or 144 in^2.
Answer:
144
Step-by-step explanation:
Combine the following expressions.
3\sqrt{27x^3}-2\sqrt{12x^3}
A) 19x
B) 5x
C) 13x
The correct answer is: B) 5x √3x
I just did the test, trust me it is B.
The solution for the following expression is,[tex]5x\sqrt{3x}[/tex].None of the options are correct.
What exactly is simplification?Simplifying is making something easier to do or comprehend, as well as making something less difficult.
The following expression is given ;
[tex]3\sqrt{27x^3}-2\sqrt{12x^3}[/tex]
Simplify the given expression;
[tex]3\sqrt{27x^3}-2\sqrt{12x^3} \\\\ 3 \times 3x \sqrt {3x} -2 \times 2x \sqrt{3x}\\\\ 9x \sqrt {3x}-4x\sqrt{3x}\\\\\ 5x\sqrt{3x}[/tex]
The solution for the following expression is,[tex]5x\sqrt{3x}[/tex].
Hence one of the options is correct.
To learn more about the simplification, refer to:
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Patterns and lines for (0,0) (4,-12)
If f(x) = 4x - 3 and g(x) = x + 4, find (f - g) (x)
[tex](f-g)(x)=4x-3-(x+4)=4x-3-x-4=3x-7[/tex]
Four different sets of objects contain 4, 5, 6, and 8 objects, respectively. How
many unique combinations can be formed by picking one object from each
set?
Answer:
960
Step-by-step explanation:
We can find the number of unique combinations by
Multiplying 4*5*6*8
960
There are 960 possible choices by picking 1 from each group
The perimeter of rectangular photo is 72cm. The length is twice the width what are and width of the photo?
(Hint: The formula for perimeter is 2w+ 21= P where w is the width I is the length and P is the perimeter.)
Answer:
w =12 cm
l = 24 cm
Step-by-step explanation:
P = 2w + 2l
We know the perimeter is 72 and the length is twice the width (l = 2w)
Substituting P = 72 and l = 2w
72 = 2w + 2(2w)
72 = 2w+ 4w
Combine like terms
72 = 6w
Divide each side by 6
72/6 =6w/6
12 = w
Now we need to find l
l = 2w
l =2*12
l = 24
The sum of one-third of a number and three-fourths of the number exceeds that number by one.
Which equation could be used to find the number?
1/3n = 3/4n + 1
1/3n + n 3/4= n - 1
1/3n + n 3/4= n + 1
The answer would be...
1/3n + 3/4n = n + 1
^^^That would be the last option
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
The correct answer is last option
1/3n + n 3/4= n + 1
Step-by-step explanation:
It is given that,the sum of one-third of a number and three-fourths of the number exceeds that number by one
To find the correct option
Let 'n' be the number, one- third of the number = 1/3(n)
three - fourths of the number = 3/(4n)
Therefore the equation becomes,
1/(n) + 3/4(n) = n + 1
Therefore the correct answer is last option
One solution of x^2-25=0 is 5. What is the
other solution?
Enter the correct answer.
Answer:
The other solution: x = -5Step-by-step explanation:
[tex]x^2-25=x^2-5^2\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x-5)(x+5)\\\\x^2-25=0\to(x-5)(x+5)=0\iff x-5=0\ \vee\ x+5=0\\\\x-5=0\qquad\text{add 5 to both sides}\\x=5\\\\x+5=0\qquad\text{subtract 5 from both sides}\\x=-5[/tex]
Use the graph of the function y=4^x to answer the following questions
The domain of a function is all the x-values which it passes through. The function is a continuous exponential function, and therefore, it will contain every x value. The answer is:
The domain of the function is negative infinity to positive infinity.
Hope this helps!!
The domain of a function is the set of input values, the function can take.
The domain of the function is negative infinity to positive infinity,
The function is given as:
[tex]\mathbf{y = 4^x}[/tex]
The function is an exponential function, and there are no restriction as to the input values of an exponential function.
i.e: [tex]\mathbf{(-\infty, \infty)}[/tex]
Hence, the domain of the function is negative infinity to positive infinity,
Read more about domain at:
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The following system has a solution of x=-5, y=9, z=11.
4x+y+z=12
-4x-y-z=-10
5y-z=9
Please select the best answer from the choices provided
T
F
Answer:
Step-by-step explanation:
false
what is the meaning of the slope of mr taylor's line? pls help! a lot of points
Answer:
The slope is the percentage of test score per number of days absent
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
y -----> is the percentage of test score
x ----> is the number of days absent
so
That means -----> The slope is the percentage of test score per number of days absent
In this problem the slope is negative
so
If the percentage test score increases----> the number of days decreases
If the percentage test score decreases----> the number of days increases
I need some help in this question
which graph represents the solutions for x^2+x-12>0
To find the answer, we can use the method of finding x- intercepts by solving the equation.
To solve the equation:
x^2 + x -12> 0
by using cross method,
we can find that 3 x -4 = -12
(x-3)(x+4) = 0
Therefore, x = 3 or x=-4
Hope it helps!
graph C represents the solutions for x^2+x-12>0
What are inequalities?Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
How to find which graph represents the solution ?The given inequality is :
x^2+x-12>0
Now factorizing the expression we get,
(x-3)(x+4)>0
⇒ x>3 and x<-4
Clearly graph C represents the solutions.
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Which expressions are equivalent to the one below? Check all that apply. Log^7 1 * Log^5 25
Answer:
B if you mean log_7 (1)*log_ 5 (25)
Step-by-step explanation:
I think you mean 7 and 5 as bases... like
log_7(1)*log_5(25)
log_7(1)=0 because 7^0=1
log_5(25)=2 because 5^2=25
So you have to perform the following operation 0*2=0
so 0 is definitely one answer
1 and 5*7 are definitely not equal to 0
let's look at last choice now
log_7(7)=1 because 7^1=7
so D is equivalent to saying 2*1 which is 2 not 0
so only one choice works and it is B
simplify root45 - root20 +4root5
Answer:
( -3√5)
Step-by-step explanation:
√45 - √20 - 4√5 = √5*3*3 - √2*2*5 - 4√5
= 3√5 - 2√5 - 4√5
= √5 (3 - 2 - 4)
= ( -3√5)
Step by step 24-3x=-27
For this case we have the following equation:
[tex]24-3x = -27[/tex]
To solve we follow the steps below:
We subtract 24 from both sides of the equation:
[tex]-3x = -27-24\\-3x = -51[/tex]
We divide between -3 on both sides of the equation:
[tex]x = \frac {-51} {- 3}\\x = 17[/tex]
The value of x is 17
Answer:
[tex]x = 17[/tex]
Answer:
[tex]\boxed{x=17}[/tex]
Step-by-step explanation:
Subtract by 24 from both sides.
[tex]24-3x-24=-27-24[/tex]
Simplify
[tex]-27-24=-51[/tex]
[tex]-3x=-51[/tex]
Divide by -3 from both sides.
[tex]\frac{-3x}{-3}=\frac{-51}{-3}[/tex]
Simplify to find the answer.
[tex]-51\div-3=17[/tex]
[tex]x=17[/tex], is the correct answer.