Answer:
3
Step-by-step explanation:
So we have the function:
[tex]f(x)=3x^2+2x-5[/tex]
To evaluate the value of f(-2), substitute -2 for x. Thus:
[tex]f(-2)=3(-2)^2+2(-2)-5[/tex]
Square first:
[tex]f(-2)=3(4)+2(-2)-5[/tex]
Multiply:
[tex]f(-2)=12-4-5[/tex]
Now, subtract:
[tex]f(-2)=8-5=3[/tex]
So:
[tex]f(-2)=3[/tex]
And we're done!
Answer question 8,9 and 10 with full details.
Answer:
See Explanation
Step-by-step explanation:
8. (1)
Area of trapezoid = 1/2(sum of || sides) *perpendicular distance
36 =1/2(x+ y) * 6
36 = ((x + y)*3
36/3 = x + y
12 = x + y
x + y = 12.... (1)
8(2)
It is given that:
x = 2y....(2)
From equations (1) & (2)
2y + y = 12
3y = 12
y = 12/3
y = 4
From equation (2)
x = 2y = 2*4
x = 8
9.
Area of square = 1 square m
Side of square = 1 m
Area of circle = 1 square m
[tex]\pi {r}^{2} = 1 \\ {r}^{2} = \frac{1}{\pi} \\ r = \frac{1}{ \sqrt{\pi} } \\ c = 2\pi \: r \\ c = 2\pi \times \frac{1}{ \sqrt{\pi} } \\ c = 2 \sqrt{\pi} \\ c = 2 \sqrt{3.14} \\ c = 2 \times 1.77200451 \\ c = 3.54400902 \\ c = 3.544 \\ difference = 3.544 - 1 = 2.544 \\difference \approx \: 2.54[/tex]
Anna's salary is four times Emily's salary. They decide to share the cost of a $120 gift card. Anna will contribute four times as much as Emily. How much does each contribute
Answer:
Emily will contribute $24 and Anna will contribute $96
Step-by-step explanation:
From the given information:
Let Emily's salary be x
and let Anna's salary be 4x since Anna's salary is four times Emily's salary.
They were to share the cost of a $120 gift card.
SO, x+4x = 120
5x = 120
x = 120/5
x = 24
Therefore, Emily will contribute x = $24
and Anna will contribute 4x = 4 × $24 = $96
Point G is on line segment FH. Given FG = 4 and FH = 20, determine the
length GH
Answer:
16
Step-by-step explanation:
20-4=16
If AB = 20, and BC = 10, what is AC?
WILL GIVE BRAINLIEST IF DO QUICKLY!!! $A$, $B$, $C$, and $D$ are positive digits such that $\overline {ABCD} + \overline {BCD} +\overline {CD} +\overline {D} = 2012.$ Find $A+B+C+D.$
what is the value of x?
Answer: The value of x is 20
Step-by-step explanation:
The angles are vertical angles so they have to equal each other in other to solve for x.
(x + 40) = 3x
x + 40 = 3x subtract x from both sides
-x -x
40 = 2x Divide both side by 2
x= 20
I need help with this problem, i am confused and don't know what to do.
Problems a through c are asking you what the values would be at those values.
What will the value of [tex]f(x)[/tex] be at [tex]x=0[/tex]? Let's look at the graph.
It seems at [tex]x=0[/tex], [tex]f(x)=0[/tex], meaning that [tex]f(0)=0[/tex]
Let's do the same for the others.
At [tex]x=-3[/tex], [tex]f(-3)=2[/tex]
At [tex]x=2[/tex], [tex]f(2)=-4[/tex]
For the last question, it is giving us the [tex]f(x)[/tex] value and asking us which [tex]x[/tex] values would give us that.
At [tex]f(x)=3[/tex], [tex]x=-2[/tex].
*Note* this function is continuous to the right, meaning that there is another point where [tex]f(x)=3[/tex].
Hope this helps.
頑張って!
Boyle's Law states that the volume of a fixed amount of gas (at constant temperature) is inversely proportional to the pressure of the gas. A pressure of 46 pounds per square inch (psi) has a volume of 360 cubic feet. What is the particular equation that represents the problem situation?
Step-by-step explanation:
According to Boyle's law,
[tex]$ V \propto \frac{1}{P} $[/tex]
or [tex]$ V = \frac{k}{P} $[/tex] , where k is the proportionality constant
Given that volume is 360 cubic feet and the pressure is 46 psi.
Therefore, replacing V with 360 cubic feet and P with 46 psi in the above equation gives
[tex]$ 360 = \frac{k}{46} $[/tex]
(360)(46) = k
k = 16560
Cassie is baking cookies from scratch. Her recipe calls for 7/8 of a cup of sugar per batch. If she is baking Just 2/3 of abatch of cookies, how much sugar should she use?
Answer
A
Step-by-step explanation:
This trip the family will spend $117.96. The next trip they will spend $119.27. This is an increase of ($117.96 − $119.27) or an increase of $1.31. What is the percent of increase? Round your answer to the nearest whole percent.
Answer:
1%
Step-by-step explanation:
To find the percent increase, take the difference over the original amount
1.31/ 117.96
.011105459
Change to percent form
1.110545948%
To the nearest percent
1%
one fourth plus one tenth
Find common denomianators.
1/4 = 5/20
1/10 = 2/20
Add.
5/20 + 2/20 = 7/20
Therefore, the answer is 7/20.
Best of Luck!
Answer:7/20
Step-by-step explanation:first you have to find the common denominator which is twenty. Since 4x5 is 20 you multiply the 1 by five and get 5/20.
Then since 10x2 is 20 you have to muliply
1x2 and you get 2/20. Then you and 5/20 and 2/2o and you get 7/20
\sqrt{12} real number whole number integer rational number
[tex]\sqrt{12}[/tex] is an irrational number
Given f(x) = -3x + 5, find f(-6).
Answer:
23
Step-by-step explanation:
Since it says f(x) that means that when we see f(-6) we are substituting x for -6.
This means that the equation will become
f(-6) = -3(-6) + 5
First multiply -3 and -6 (18)
f(-6) = 18 + 5
Next add 18 and 5 (23)
This means that f(-6) = 23
23
This problem is basically asking you to plug in -6 for x and solve using the order of operations (PEMDAS)
[tex]f( - 6) = - 3( - 6) + 5[/tex]
[tex]f( - 6) = 18 + 5[/tex]
[tex]f( - 6) = 23[/tex]
what expression is equivalent to 2x+3y-x-(8+1)
Answer:
Step-by-step explanation:
2x + 3y - x - 9
x + 3y - 9
33/3 is classified as?Select all that apply * Natural Number Whole Number Integer Rational Number
Answer:
Rational Number
Step-by-step explanation:
A rational number is, by definition, a number that can be expressed as the quotient or fraction of p/q of two integers, a numerator p and a non-zero denominator q. 33/3 is a fraction of p/q of two integers, a numerator p, or 33, and a non-zero denominator q, or 3. This makes 33/3 a rational number.
8-9x-6-5x=4 can you please help me with this :)
Answer:
-1/7
Step-by-step explanation:
8 - 9x -6-5x =4
2-14x = 4
-14x = 2
x = -1/7
the intersection must have__letters
Answer:
12 letters
Step-by-step explanation:
Select all that apply.
To which sets does
belong?
5/8
real numbers
rational numbers
Irrational numbers
Integers
whole numbers
natural numbers
Answer:
real, rational
Step-by-step explanation:
The set to which the fraction 5/8 belongs to are real numbers and rational numbers.
What are real numbers and rational numbers?A real number is a number that is both a rational number and an irrational number. A rational number is a number that can be expressed as a fraction of two integers
Examples of rational numbers are 1, 0, - 1, 5/8.
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Please help! On my 2nd attempt again. '-'
Answer:
9?
Step-by-step explanation:
just try imputing number until you get the closet to what you need(Don't Take my answer as a fasho I haven't done this in a while
The vertices of a triangle are listed below. E(-1, 2), F(-5, -1), G(-1, -4) What is the area of the triangle? A. 24 square units B. 12 square units C. 16 square units D. 6 square units
Answer:
B. 12 square units
Step-by-step explanation:
Answer: 12 square units
Step-by-step explanation: 1/2(6)(4)
HELP PLEASE !
ASAP
a=
b=
c=
Answer:
a = 0, b = 6, c = 4
Step-by-step explanation:
Given
f(x) = - x² + x + 6 , then
f(- 2) = - (- 2)² + (- 2) + 6 = - 4 - 2 + 6 = 0 ← a
f(0) = 0 + 0 + 6 = 6 ← b
f(2) = - (2)² + 2 + 6 = - 4 + 2 + 6 = 4 ← c
Answer:
a = 0
b = 6
c = 4
Step-by-step explanation:
f(x) = -x² + x + 6
a = -(-2)² + (-2) + 6 = 0
b = -(0)² + (0) + 6 = 6
c = -(2)² + (2) + 6 = 4
Which of the following algebraic expressions could represent thirty less than one-half the value of x?
Answer: x/2-30
Step-by-step explanation: half= divide by 2 30 less= minus 30
The sum of x and 7 is less than -3
Answer:
[tex]x+7<-3[/tex]
Step-by-step explanation:
Sum = +
Less than = <
Merge all together accordingly you get ;
[tex]x +7<-3[/tex]
If you solve the equation , you will get;
x<-10
2/3(4w+9) I NEED HELP ASAP
Answer:
We need to perform a multiplication.
Notice that all non-fraction factors are placed in the numerator.
The only factor in the new denominator is:
3
So most likely C.
cuánto es 0.45 de 50=
Answer:
es 0.225 ... I believe so
I need help please I’m confused
Answer:
9. 3
10,1
Step-by-step explanation:
find (fog)(3) f(x)=|x+2| g(x)= -x^2 f(x) = |x+2| g(x) = -x^2 a. -25 b. 1 c. 4 d. -15
Step-by-step explanation:
f{g(x)}
= -x²+2
now,
(fog)(3)= -3²+2
Jack wants to purchase a Wallet for $33. He currently has $18 . By how much money will he be in debt if he decides to borrow the difference ?
Answer:
$15 in debt
Step-by-step explanation:
Subtract 33 from 18
18 - 33
= -15
So, he will be $15 in debt
Where can we put parentheses in 2 x 3+1+2 to make it equivalent to 12?
If f and g are functions, then (fog)(x) is always equal to (gof)(x)
true or false
Answer:
False
Step-by-step explanation:
Here is a counter example:
● f(x) = x^2
● g(x) = 3x
● (f○g)(x) = (3x)^2 = 9x^2 (1)
● (g○f)(x) = 3(x^2) = 3x^2 (2)
We can see that (1) and (2) aren't equal to each others.
The given statement is False
The following information should be considered:
[tex]f(x) = x^2\\\\g(x) = 3x\\\\(fog)(x) = (3x)^2 = 9x^2 (1)\\\\(gof)(x) = 3(x^2) = 3x^2 (2)[/tex]
based on the above calculations we can see that equation (1) and equation (2) are not equal to each other.
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