If g(x)=−3x^2+2x−7, Find g(4)
Answer:
-143
Step-by-step explanation:
We have to substitute 4 into x.
g(4) = -3(4)^2 + 2(4) - 7
g(4) = -12^2 + 8 - 7
g(4) = -12^2 + 1
-144 + 1
-143
-47
Step-by-step explanation:
= -3(4)^2 +2(4) -7
= (-3×16) +8 - 7
= -48+8-7
= -40-7
= -47
what is 4,3125 as a fraction in the simplest form????
Answer:
0.00128
Step-by-step explanation:
4
3125
is already in the simplest form. It can be written as 0.00128 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 4 and 3125 is 1
Divide both the numerator and denominator by the GCD
4 ÷ 1
3125 ÷ 1
Reduced fraction:
4
3125
Therefore, 4/3125 simplified to lowest terms is 4/3125.
Identify the like terms in this expression: 4x^2 + 2x - 6x + 3y
Answer:
the like terms here are the x and the + symbol.
Step-by-step explanation:
If a part of the equation appears more than once that is a like term.
Find the value of (4/25)^-1/2
The value of the given exponent is [tex]\frac{5}{2}[/tex]
Given:
The exponent = [tex](\frac{4}{25})^{\frac{-1}{2}}[/tex]
To find:
The value of a given exponent
Solution:
[tex](\frac{4}{25})^{\frac{-1}{2}} = ?[/tex]
Using the identity of an exponent : [tex](\frac{m}{n})^{x} = \frac{m^{x}}{n^{x}}[/tex]
[tex](\frac{4}{25})^{\frac{-1}{2}} = \frac{(4)^{(\frac{-1}{2})}}{(25)^{(\frac{-1}{2})}}\\[/tex]
Using the identity of an exponent : [tex]a^{-x} = \frac{1}{a^x}[/tex]
[tex]=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{((5)^2)^{(\frac{1}{2})}}{((2)^2)^{(\frac{1}{2})}}\\[/tex]
Using the identity of an exponent: [tex](a^{n})^m=a^{m\times n}[/tex]
[tex]=\frac{5^{(2\times \frac{1}{2})}}{2^{(2\times \frac{1}{2})}}\\=\frac{5^1}{2^1}\\=\frac{5}{2}[/tex]
The value of the given exponent is [tex]\frac{5}{2}[/tex].
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Fifty-seven and 100 dollars as a numeral is which of the figures below?
a. $56.70
c. $34.50
b. $53.40
d. $57.50
Answer:
56.70
Step-by-step explanation:
Tell whether the indicated angles are adjacent.
Answer: 3 would be a adjacent angle
Step-by-step explanation:
They don’t overlap
Austin shops at Surfer Joe's Surf Shop before going to the beach. He buys 2 T-shirts, a pair of board shorts, and 5 towels.
If he gives the cashier $80.00, how much change will Austin get back?
Answer:
$2.86 is what he got back
PLS HURRY!!!!<3 A swimming pool has about 603 cubic feet of water. The pool liner has a small hole and is leaking at a rate of 1.5 cubic feet each hour. Ruby wrote the equation
V(h) = -1.5h + 603 to represent the scenario. Describe what each variable represents in the function, and how they relate to each other.
Answer:
hi did you find the answer ? if so can you please help me ?
Step-by-step explanation:
Answer:
Ruby function notation V(h) describes the volume of the pool after h number of hours. Hours is the independent variable and the total volume as a dependent variable
Step-by-step explanation:
I got a 100%
Which of the following expressions is equal to 2x^2+8
Step-by-step explanation:
its a photo hope this will help you
HEEEEEEELP I CAN'T GET THIS WRONG
WILL GIVE BRANI AND PONITS
Answer:
Step-by-step explanation:
4 (x -2 ) - 3 = 7x
expanded = 4x - 8 (you have to multiply the -2 as well) -3 = 7x
Answer:
I know im late but i belive i need more information
Step-by-step explanation:
Which statements about variables are true? Select all that apply.
Answer:
Step-by-step explanation:
True:
Any letter can be used as a variable (yes)
Variables are used for numbers that haven't been defined yet (maybe)
All the rest are false
Hope this helps!
The true statements about variables are:
ii) Any letter can be used as a variable.
v) Variables are used for numbers that haven't been defined yet.
Explanation:
i) This statement is not true. Equations can involve multiple variables. For example, the equation "x + y = 10" involves two variables, x and y.
ii) This statement is true. In mathematics, variables are represented by letters, and any letter can be used to represent a variable. Common choices include x, y, z, a, b, c, etc.
iii) This statement is not true. While x is commonly used as a variable in many mathematical contexts, it is not the only letter that can be used. As mentioned earlier, any letter can be used as a variable.
iv) This statement is not true. Variables are specifically used in mathematical operations. They allow us to represent unknown quantities or values that can change. Mathematical operations involving variables are fundamental in algebra and many other branches of mathematics.
v) This statement is true. One of the primary purposes of variables is to represent numbers that haven't been defined yet. Variables act as placeholders for unknown values, and they allow us to generalize mathematical relationships and solve equations. Once we assign specific values to variables, the equations or expressions can be evaluated or solved.
In summary, variables are flexible symbols that can represent unknown or changing values in mathematical equations and expressions. They can be any letter and are essential for performing mathematical operations and solving problems involving unknown quantities.
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If f(x) is a linear function and f(-4) = 0 and f(2) = -3, what is the value of f(-8)?
Answer:
answer is [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
f(x)=y
basically this is just showing the y values
Answer:
the answer is - 3/2
Step-by-step explanation:
A pair of sneakers is on sale for 20% off. The original price is $100. What is the price of the sneakers with the discount?
Answer:
it will be $80.00 and your saving $20.00
Step-by-step explanation:
P = R - C solve for C
Answer:
C = R - P
Step-by-step explanation:
Step 1: Write equation
P = R - C
Step 2: Subtract R on both sides
P - R = -C
Step 3: Divide both sides by -1
-P + R = C
Step 4: Rewrite
C = R - P
Answer:
C=R-P
Step-by-step explanation:
First move your terms
C+P=R then move variable to the right-hand side
C=R-P is your solution
Choose an equation that would be used to solve
0 = -x2 + 10X-8
(x + 25)2 = -8
O(x - 5)2 = 17
(x - 10)2 = 25
Answer:
(x - 5)² = 17
Step-by-step explanation:
Given
0 = - x² + 10x - 8 ( multiply through by - 1 to clear the leading negative )
x² - 10x + 8 = 0 ( subtract 8 from both sides )
x² - 10x = - 8
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = - 8 + 25
(x - 5)² = 17
The temperature was –30 C last night. It is now -40 C. What was the
change in temperature?
Answer:
-10 C
Step-by-step explanation:
It started out as -30 degrees, then went down to -40 degrees. Based on this, we can correct that if we add -10 degrees to -30, it will become -40 C.
Answer:
temperature decreased
more
Please I need this ASAP 15 points
Answer:
The two bowling alleys cost the same when there are 10 people in the group.
Step-by-step explanation:
Bustlin' Bowling first:
$35 base price and then $2 for each person. You can model that with b = 35 + 2x where b is the price and x is the guest number.
Grand Entertainment next:
$20 base price and then $3.50 for each person. You can model that with g = 20 + 3.5x where g is the price and x is the guest number.
So the question asks for the number of people (or what's x) that makes the cost of both bowling places equal.
In variables, it's asking when b = g, what is x?
Starting with b = g, we can replace those with the actual equations. If b = 35 + 2x and g = 20 + 3.5x, then b = g is the same as 35 + 2x = 20 + 3.5x.
I think you know how to solve that (because the trickiest part is usually translating the words into a solvable equation) but in case you don't, here's how:
35 + 2x = 20 + 3.5x
Subtract 2x from both sides.
35 = 20 + 3.5x - 2x
35 = 20 + 1.5x
Subtract 20 from both sides.
35 - 20 = 1.5x
15 = 1.5x
Divide both sides by 1.5.
15/1.5 = 1.5x/1.5
10 = x
Sooo, the answer is 10 people.
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If you invest $25.00 at 6% interest compounded monthly,
how much will you have after 1 year?
please help me with the question
Answer:
4.08, 480, 4080, 4800
Step-by-step explanation:
Consider the expression (-15) + 8. Describe a situation that could be represented by the expression. Then, find the sum and explain what it means in the context of the situation.
Answer:
it not
Step-by-step explanation:
True or False: Only like terms can be combined. A True B False
Answer:
True
Step-by-step explanation:
Like terms like 4x-3x the x term. is a like term
6-4x can be subtracted because they aren't the same.
High Hopes^^
Barry-
Answer:
i believe this false but im not positive
A bear was climbing a tree. It took a few steps forward and then slipped a few steps backward. After taking 12 total steps of equal distance, it was back at its starting position. How many steps did the bear take in the forward and backward directions? (1 point)
7 steps forward and 5 steps backward
4 steps forward and 8 steps backward
5 steps forward and 7 steps backward
6 steps forward and 6 steps backward
Answer:
it would be 6 and 6 since it states equal distance and it also says a few forward and a few backward. It makes it sound like this was an equal amount each way
Step-by-step explanation:
Answer:
6 steps forward and 6 steps backward
Step-by-step explanation:
If the bear ended up back at its starting position, this means that the distances forward and backward have to be the same.
Since 6 = 6, this answer is correct.
The bear would have to take the same amount of steps forward and backwards.
Maria bicycled every day for 14 days. She traveled 294 miles. How many miles did she travel per day?
Answer:
Maria bicycled 21 miles per day.
Step-by-step explanation:
294/14=21
Hope this helps!
What is the missing table value?
4 inches to centimeters
Answer:
the answer is 10.16 Hope This Helps!!!
Step-by-step explanation:
because 7.62+2.54= 10.16
Answer:
10.16
Step-by-step explanation:
Solve for x show your work 4(x+1)=-3x-10 plz show work
Answer:
4(x + 1)= -3x - 10
on the bracket 4( x +1)
4x + 4 = -3x - 10
collect like terms
4x + 3x = -10 - 4
7x = -14
divide both sides by 7
x = -2
which figures show that M is a midpoint? select all that apply.
Step-by-step explanation:
a D&C show that m is the midpoint
The required figures that show the mid-points are (c) and (d).
A midpoint is a point on the line whose distance from both ends of the line is equal.
Here,
Figures are shown where in figure (A) only point M is shown which does not describe itself. In figure (B) M is located so far from B and there is no point on the other side of M. In figure (C) and (D) Point M is located between two certain points with equal measures.
Thus, the required figures that show the mid-points are (c) and (d).
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A boy has 11 coins in dimes and quarters. Their value is $1.70. How many of each does he have?
Which of the following equations could be used to solve the problem?
x + (11 - x) = 1.70
0.10x + 0.25(11 - x) = 1.70
25x + 10(11 - x) = 1.70
0.10x + 0.25(11 - x) = 1.70
It has the correct values
32+8x
Simplify the following expression using the distributive property:
4.
(a) 28 + 4x
(c) 8 + 2x
I
(b) 36 + 12x
(d) 10x
Would it be answer b? :(
what is -8(4k+2)=112
Answer:K= -4
Step-by-step explanation:
Please help!! There’s 2 questions, Explain step by step pls :)
Answer:
I'm late but the answer to the question on the left is 21 and the answer to the question on the right is 3.
Step-by-step explanation:
Remember that you have to complete the equations in order of PEMDAS.
19-3×4÷(-6)
For this equation, you would do 3×4 first (which equals 12) then divide that by -6 (Which equals - 2) and finally you would subtract that from 19. 19 - (-2)= 21
6(-8) / -12 - 1
For this equation you would do 6(-8) first (which equals -48) then divide that by -12 (which equals 4) and finally subtract 1 from that 4. 4-1=3