What single decimal multiplier would you use to decrease by 7% followed by a 20% decrease?
Answer:
13 percent
Step-by-step explanation:
Single decimal multiplier used to decrease by 7% followed by a 20% decrease is 0.744.
What is decimal multiplier?A percentage multiplier is a number which is used to calculate a percentage of an amount or used to increase or decrease an amount by a percentage. In order to use a percentage multiplier to calculate the percentage of an amount, convert the percentage to a decimal by dividing by 100 ; this is the decimal multiplier.
Given,
First decrease = 7%
Second decrease = 20%
Let a number be x.
If x is decreased by 7% then the value of the number is
( (100 - 7) / 100) × x = 0.93 x
Again if 0.93 x is decreased by 20% then the value of the number ((100 - 20) /100) × 0.93 x = 0.744 x
Hence, The single decimal multiplier is 0.744.
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Which equation represents an exponential function that passes through the point (2, 36)?f(x) = 4(3)xf(x) = 4(x)3f(x) = 6(3)xf(x) = 6(x)3
Answer:
Step-by-step explanation:
A is the answer
Answer:
Option A. f(x) = 4(3)x
is the answer.
Step-by-step explanation:
please answer correctly asap to get brainleist! :/
Answer:
a
Step-by-step explanation:
a can not be -9,-8,8,0 or -2, therefore, it is 7
Mr. Schwartz recorded the time, in minutes, that each of the 17 members at his fitness club spent on a treadmill in a single session. The bar
graph displays the data he recorded.
Which statement is true?
А.
The data is skewed to the left.
B.
The data is symmetrical
C.
The skew of the data cannot be determined,
D.
The data is skewed to the right
Answer:
A
Step-by-step explanation:
I am pretty sure the graph is skewed to the left, because the trailing tail is on the left. Sorry for the bad explanation lol
Solve the following problem: 892 ÷ 4 = ? *
\
Answer:
223
Step-by-step explanation:
hope it helps!!!!......
Answer:
223
Step-by-step explanation:
892 ÷ 4 = 223
Can i get brainliest? plz!
Answer:*******************brainliest
Answer:
How is your day going lol
Step-by-step explanation:
was this supposed to be a question lol>
Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
All of the coins together have a value of $3.45. How many dimes does Jillian have?
o 7 dimes
o 9 dimes
o 12 dimes
o 14 dimes
SUBMIT RESPONSE
Answer:
12 dimes
Step-by-step explanation:
1 dollar= 4 quarters
1 dime=10 cents
3.45-1.20=2.25
2 dollars= 8 quarters
2.25-2.20=.25
1 quarter=.25
SOOOO your answer is 12 dimes
y= 2x-4
6r - 3y = 12
What is 6 1/4 divided by 2
Answer:
3 1/8
Step-by-step explanation:
6 1/4 ÷ 2
~Turn each number into an improper fraction
25/4 ÷ 2/1
~Copy Dot Flip
25/4 * 1/2
~Multiply
25/8 or 3 1/8
Best of Luck!
When the mixed number i.e. [tex]6\frac{1}{4}[/tex] is divided by 2 so the answer is [tex]3 \frac{1}{8}[/tex]
Given that,
The mixed number is [tex]6\frac{1}{4}[/tex].And, the other number is 2.We need to do the division.Based on the above information, the calculation is as follows:
[tex]= 6\frac{1}{4} \div 2\\\\= \frac{25}{4} \div 2\\\\= \frac{25}{4} \times \frac{1}{2} \\\\= \frac{25}{8}\\\\= 3 \frac{1}{8}[/tex]
Therefore we can conclude that when the mixed number i.e. [tex]6\frac{1}{4}[/tex] is divided by 2 so the answer is [tex]3 \frac{1}{8}[/tex]
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Find the real or imaginary solutions.
x^4 + 3x^2 - 18 = 0
PLEASE SHOW WORK.
Step-by-step explanation:
Here is your explanation:
((x4) - 3x2) - 18 = 0 Factoring x4-3x2-18
The first term is, x4 its coefficient is 1 .
The middle term is, -3x2 its coefficient is -3 .
The last term, "the constant", is -18
Step-1 : Multiply the coefficient of the first term by the constant 1 • -18 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -3 .
-18 + 1 = -17 -9 + 2 = -7 -6 + 3 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 3
x4 - 6x2 + 3x2 - 18
Step-4 : Add up the first 2 terms, pulling out like factors :
x2 • (x2-6)
Add up the last 2 terms, pulling out common factors :
3 • (x2-6)
Step-5 : Add up the four terms of step 4 :
(x2+3) • (x2-6)
Which is the desired factorization
Find roots (zeroes) of : F(x) = x2+3
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 3.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,3
Let us test ....
P Q P/Q F(P/Q) Divisor -1 1 -1.00 4.00 -3 1 -3.00 12.00 1 1 1.00 4.00 3 1 3.00 12.00
Factoring: x2-6
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 6 is not a square !!(x2 + 3) • (x2 - 6) = 0 product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.Solve : x2+3 = 0
Subtract 3 from both sides of the equation :
x2 = -3
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ -3
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Accordingly, √ -3 =
√ -1• 3 =
√ -1 •√ 3 =
i • √ 3
The equation has no real solutions. It has 2 imaginary, or complex solutions.
x= 0.0000 + 1.7321 i
x= 0.0000 - 1.7321 i
Solve : x2-6 = 0
Add 6 to both sides of the equation :
x2 = 6
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ 6
The equation has two real solutions
These solutions are x = ± √6 = ± 2.4495
Solving x4-3x2-18 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Solve x4-3x2-18 = 0
This equation is reducible to quadratic. What this means is that using a new variable, we can rewrite this equation as a quadratic equation Using w , such that w = x2 transforms the equation into :
w2-3w-18 = 0
Solving this new equation using the quadratic formula we get two real solutions :
6.0000 or -3.0000
Now that we know the value(s) of w , we can calculate x since x is √ w
Doing just this we discover that the solutions of
x4-3x2-18 = 0
are either :
x =√ 6.000 = 2.44949 or :
x =√ 6.000 = -2.44949 or :
x =√-3.000 = 0.0 + 1.73205 i or :
x =√-3.000 = 0.0 - 1.73205 i
so we found four answers:
x = ± √6 = ± 2.4495
x= 0.0000 - 1.7321 i
x= 0.0000 + 1.7321 i
sorry for taking time to answer
hope its helps
The correct option is A because [tex]x=\pm\sqrt{6}i[/tex] or [tex]x=\pm\sqrt{3}[/tex].
Given:
The given equation is:
[tex]x^4+3x^2-18=0[/tex]
To find:
The real and imaginary solutions of the given equation.
Explanation:
We have,
[tex]x^4+3x^2-18=0[/tex]
Substitute [tex]x^2=t[/tex] in the given equation.
[tex]t^2+3t-18=0[/tex]
Splite the middle term.
[tex]t^2+6t-3t-18=0[/tex]
[tex]t(t+6)-3(t+6)=0[/tex]
[tex](t+6)(t-3)=0[/tex]
Using zero product property, we get
[tex]t+6=0[/tex] or [tex]t-3=0[/tex]
[tex]t=-6[/tex] or [tex]t=3[/tex]
Substituting [tex]t=x^2[/tex], we get
[tex]x^2=-6[/tex] or [tex]x^2=3[/tex]
[tex]x=\pm\sqrt{-6}[/tex] or [tex]x=\pm\sqrt{3}[/tex]
[tex]x=\pm\sqrt{6}i[/tex] or [tex]x=\pm\sqrt{3}[/tex]
Therefore, the correct option is A.
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If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation:
h(t) = -16t^2 + 128t
What is the maximum height the rocket reaches?
Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
(h, k) is the vertex pointh = [tex]\frac{-b}{2a}[/tex] and k = f(h)(h, k) is a minimum point if a > 0 and a maximum point if a < 0Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet
HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)
Answer:
A
Step-by-step explanation:
Find two ordered pairs of the solution- 2y=4x+8
1. (-6, -8) (3, 10)
2. (-6, -16) (3, 10)
3. (8, 20) (4, 4)
4, (8, -16), (4, 2)
Its for my final plz help fast I'm giving all my points and brainliest
The parabola y = 3(x + 1)^2 + 3 has a vertex of
Answer:
( 1, -3)
Step-by-step explanation:
[tex]y=a(x-h)^2+k[/tex]
The vertex is at (h,k). For "h", swap the negative to positive and positive to negative.
So the vertex is (-1,3)
Subtract 2x/ x^2 -9 - 5/ x^2 - x - 12
Answer:
Let's do an example first and then summerize what are the techniques to complete the square for quadratic equation in order to solve for x. -2x^2 + 5x + 12 = 0 -2x^2 + 5x = -12 -2 (x^2 - 5/2 x) = -12 so 2ab = 5/2 x ("2ab" refers to the formula (a+b)^2 = a^2 + 2ab + b^2 or (a+b)^2 = a^2 - 2ab + b^2 ) Since a=1 (because x^2 is the a^2 in the formula), we get 2*1*b = 2b = 5/2 x, so b = 5/4 That means to complete the square we will add "b^2" (which is (5/4)^2 here) and then subtract (5/4)^2 in the parenthesis: -2 [ x^2 - 5/2 x + (5/4)^2 - (5/4)^2 ] = -12 Now that is same as -2 (x - 5/4 )^2 + (-2) * (-5/4)^2 = -12 To simplify it we follow these steps: -2 (x - 5/4 )^2 + 2 * 25/16 = -12 -2 (x - 5/4 )^2 + 25/8 = -12 Multiply both sides of the equation by 8 we get this: -16 (x-5/4)^2 +25 = -96 then -16 (x-5/4)^2 = -121 Techniques summerization: To complete the square for quadratic equation in order to solve for x, first we need to move the terms without x (which is "c" in the "ax^2+bx+c=0" form) to the right side of the equation. Then we divide both sides of the equation by "a" in the "ax^2+bx+c=0" equation. Through the formula (a+b)^2 = a^2 + 2ab + b^2 or (a+b)^2 = a^2 - 2ab + b^2 we will then figure out the value of "b", so then we know what is the b^2 we need to add then subtract. Finally just simplify the equation. Hope this helps.
Step-by-step explanation:
Write an algebraic expression for the verbal expression.
the sum of a number xand 10
Someone help me
Please help will brainlist
Answer:
4 is C for sure!
Step-by-step explanation:
Which of the following mixtures will have a stronger coffee flavor? explain please thank you!!
A) Mixture B
B) Mixture A
C) Both the mixtures are equally strong.
Solve for the line from the graph, thank you!
Answer:
y = 3/4 + 3/2
Step-by-step explanation:
Slope = 3/4
Solve for y-int.
0 = 3/4(-2) + b
-3/2 + b = 0
b = 3/2
y = 3/4x +3/2
What is an equation of the line that passes through the points (2,5) and
(8,2)? Put your answer in fully reduced form.
Write the standard form of the equation of the horizontal and vertical lines that pass through the point (-7,5)
HELPP ASAP PLEASE
Answer:
A horizontal line has a gradient = 0 and only has a y-intercept.
In the standard form this would mean that
m =0, and c =5 So, y = 5
Step-by-step explanation:
I need answer ASAP I’m next 10 mins
Answer:
B
Step-by-step explanation:
First simplify the first term to get
10y^4
then multiply 10y^4 by 4 square root 6y^3
40y would be all you needed to get answer
Answer:
40y^5√6y (B)
Step-by-step explanation:
Let's multiply 2√25y^8 * 4√6y^3:
8√150y^11 (When you multiply exponents with the same base, you can just add the exponents and keep the same base:
Ex. 4^5 * 4^9 = 4^14)
Let's simplify 8√150y^11
√150 = 5√6
√y^11 = y^5√y
So our final answer would be:
40y^5√6y
What is the rate of change between the two given points? ..... help
Solve the equation simultaneously
3x+4y-z=19
5x+2y+z=15
2x+3y+2z=11.
Find x+y+z
Answer:
sorry little busy to calculate
Step-by-step explanation:
+5x+2y+z=15
3x +4y_z=19,,,choose which term u wanna eliminate first so u will be able to get your answer there
if the measure 3= (2y+20) degrees, and the measure of 5= (210-4y) degrees, what is the measure of 4?
Answer:
110°
Step-by-step explanation:
y = 25
Angle 5 equals Angle 4 because of the Alternate Angles Postulate.
Angle 4 equals 110°
The measure of angle ∠4 is 110 degrees.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
Given that the measure Angle 3= (2y+20) degrees, and the measure of Angle 5= (210-4y) degree
Then ∠3 + ∠5 = 180, By Co-interior angles are supplementary
2y + 20 + 210 - 4y = 180
2y - 4y + 20 + 210 = 180
-2y + 230 = 180
Now Subtract 230 from both sides;
-2y = 180 - 230
-2y = -50
Then Divide both sides by (-2);
y = -50/-2
y = 25
Now, ∠5 = 210 - 4y
= 210 - 100
∠5 = 110
∠4 = ∠5 { by Alternate interior angles are equal}
∠ 4 = 110°
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solve for h 17 + 4h + 2 = 1 − 5h
Answer:
h= -2
Step-by-step explanation:
Move the terms,
19 + 4h = 1 -5h
Combine like terms,
4h+5h=1-19
Divide both sides...
9h= -18
-18/9 = -2
Answer:
h=-2
Step-by-step explanation:
17+4h+2=1-5h
19+4h=1-5h
-1 -1
18+4h=-5h
-4h -4h
18=-9h
18/-9=-9h/-9
h=-2
hopefully this helps :)
What is the constant of variation, k, for the table?
Angela enjoys swimming and often swims at a steady pace to burn calories. At this pace, Angela can swim 1,700 meters in 40 minutes.
A.What is Angela's Unit rate
B.What is the unit rate
Answer:
1700 divided by 40 and that would be 42.5 so she does 42 1/2 meters a minute.
Is this correct so far
i think it's correct so far
Answer:
yes it is correct so far
Solve the proportion below. X/12=12/72
Answer:
x=2
Step-by-step explanation:
2/12 is equal to 12/72
Answer:
its 2
Step-by-step explanation:
