Answer:
c.) x = -3
Step-by-step explanation:
Solve for x:
-10 x = 2 (9 - 2 x)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
-10 x = 18 - 4 x
Hint: | Move terms with x to the left hand side.
Add 4 x to both sides:
4 x - 10 x = (4 x - 4 x) + 18
Hint: | Look for the difference of two identical terms.
4 x - 4 x = 0:
4 x - 10 x = 18
Hint: | Combine like terms in 4 x - 10 x.
4 x - 10 x = -6 x:
-6 x = 18
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -6 x = 18 by -6:
(-6 x)/(-6) = 18/(-6)
Hint: | Any nonzero number divided by itself is one.
(-6)/(-6) = 1:
x = 18/(-6)
Hint: | Reduce 18/(-6) to lowest terms. Start by finding the GCD of 18 and -6.
The gcd of 18 and -6 is 6, so 18/(-6) = (6×3)/(6 (-1)) = 6/6×3/(-1) = 3/(-1):
x = 3/(-1)
Hint: | Simplify the sign of 3/(-1).
Multiply numerator and denominator of 3/(-1) by -1:
Answer: x = -3
How do I write 3x3x3x3 in exponential form
Answer:
3 with the exponent of four.
Step-by-step explanation:
You would count the number of of three's. Since there are four three's, then you would write the 4 right by the three on the top right hand corner.
The exponential expression is [tex]3^4[/tex].
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
3 x 3 x 3 x 3
The form to write an exponential expression.
= [tex]Base^{Exponents}[/tex]
Now,
There are four 3's and we can write it as an exponent form where the base is 3 and the exponent is 4.
So,
= [tex]3^4[/tex]
Thus,
The exponential expression is [tex]3^4[/tex].
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Which inequality matches the number line ? Help!!
Please Hurry!!! THANKS!!
Answer:
first one is A. I have no idea what the second is. good luck, it might be D.
Answer:
1) 3x³ - x² - 15x + 5
2) x² - 4
3) (5, 3)
4) f⁻¹(x) = 1/3x - 4
Step-by-step explanation:
1......................
Givenf(x) = 3x - 1g(x) = x² - 5f(x) · g(x) =?Solution f(x) · g(x) = (3x - 1)(x² - 5) =3x·x² - 3x·5 - x² + 5 =3x³ - x² - 15x + 5Correct option is A.
2......................
Givenf(x) = x²g(x) = x - 4g(f(x)) =?Solutiong(f(x)) = g(x²) = x² - 4Correct option is D.
3......................
Point (5, 3) is the inverse of point (3,5)
Correct option is C
4......................
Givenf(x) = 3x - 12Inverse of function = ?SolutionTo get the inverse of the function, switch over domain and range:
x = 3f⁻¹(x) - 123f⁻¹(x) = x - 12f⁻¹(x) = 1/3x - 4Correct option is D.
Exponents does what to the same number continuously?
Answer:
Exponents multiply a base number by itself continuously
Step-by-step explanation:
Exponents create repeated multiplication, where the base number will be continuously multiplied by itself.
The number of times it will be multiplied depends on the exponent.
For example, 2³ will be the number 2 multiplied by itself 3 times.
the product of 5 and g
Answer:
5g
Step-by-step explanation:
What is the value of x?
Answer:
x = 24
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
a = a leg
b = another leg
c = hypotenuse
Step 1: Plug in known variables
x² + 10² = 26²
Step 2: Evaluate
x² + 100 = 676
Step 3: Isolate x term
x² = 576
Step 4: Isolate x
√x² = √576
x = 24
Answer:
[tex]x=24[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem.
The Pythagorean Theorem is:
[tex]a^2+b^2=c^2[/tex]
The hypotenuse is c, and the legs are a and b.
Plug in 26 for c since 26 is the hypotenuse, and let 10 for a and x be b. Therefore:
[tex]x^2+10^2=26^2[/tex]
Square:
[tex]x^2+100=676[/tex]
Subtract 100 from both sides:
[tex]x^2=576[/tex]
Take the square root of both sides:
[tex]\sqrt{x^2}=\sqrt{576}\\x=\sqrt{576}=24[/tex]
The answer is 24.
Mia is making fruit punch for her birthday party. She puts 120 milliliters of cherry juice into a pitcher. Then she adds 250 milliliters of raspberry juice. She tops it off with sparkling water. How many milliliters of juice does she use?
Answer: She used 370 milliliters of juice
Step-by-step explanation:
Check the functions whose inverses are also functions.
a. On a coordinate plane, an absolute value function opens down.
b. On a coordinate plane, an exponential functions increases from quadrant 2 into quadrant 1.
c. On a coordinate plane, a cubic function has an x-intercept of (0, 0).
Answer: B and C.
Step-by-step explanation:
A function will have an inverse, only and only if every value of y can be linked to only one value x.
A) Here we have an absolute value:
We know that for example:
I5I = 5 and I-5I = 5.
Then an absolute value function can not have an inverse function.
B) one way of having a function that is invertible or not, is see if the function is increasing or decreasing.
If a function is, for example, increasing, then as the value of x increases, also does the value of y.
Then we will never see that a single value of y is related to two or more different values of x.
Then an exponential function, which is an increasing function, will have an inverse that is also a function.
C) A cubic function that has a root in (0,0)
The cubic function that has only one root at x = 0 is the function:
f(x) = a*x^3 + b*x
where a and b are real numbers of the same sign.
Now, we can see at the first derivate of f(x) to see if it is strictly increasing or strictly decreasing.
f'(x) = 3*a*x^2 + b
Ok, as x^2 is always positive, we can know that the sign of f'(x) will always be the same, so this function is strictly increasing or strictly decreasing (it depends on the signs of a and b).
Then this function has an inverse that is also a function.
Answer:
b and c
Step-by-step explanation:
got a 100 on edge2020. I hope this helped!
The steps below show the solution to the equation LaTeX: 3\left(x-2\right)=2\left(x-3\right)3 ( x − 2 ) = 2 ( x − 3 ). Order the reasons for the steps.
LaTeX: 3\left(x-2\right)=2\left(x-3\right)3 ( x − 2 ) = 2 ( x − 3 )
LaTeX: 3\left(x\right)+3\left(-2\right)=2\left(x\right)+2\left(-3\right)3 ( x ) + 3 ( − 2 ) = 2 ( x ) + 2 ( − 3 )
[ Select ]
LaTeX: 3x-6=2x-63 x − 6 = 2 x − 6
[ Select ]
LaTeX: 3x-2x=-6+63 x − 2 x = − 6 + 6
[ Select ]
LaTeX: x=0x = 0
Answer:
See Bold Texts
Step-by-step explanation:
Given
The steps to solve:
[tex]3( x - 2 ) = 2( x - 3 ).[/tex]
Required
Order the steps with reasons
[tex]3( x - 2 ) = 2( x - 3 ).[/tex]
Open Brackets
[tex]3(x) + 3(-2)= 2(x)+ 2(-3)[/tex]
Open Brackets
[tex]3x - 6 = 2x -6[/tex]
Collect Like Terms
[tex]3x - 2x = -6 + 6[/tex]
[tex]x =0[/tex]
Answer:
i believe X=4? sorry math is not my strong suit and probably didn't get the answer right!
help me pls brainliest+10pts
Answer:
It is A
Step-by-step explanation:
It is A: it shows the total change in Akash's account because he paid the bill
In a bank statement the amount that you pay always shows negative it means the money withdraw from the account
Korey completely covered a square counter top using 103.5 ft² of tile without any overlap. Which measurement is closest to the side length of this counter top in feet? A. 10 ft B. 11 ft C. 27 ft D.55 ft
The measurement is closest to the side length of this counter top in feet is 10.17ft
Area of a squareThe formula for calculating the area of a square is expressed as:
area of a square = L^2
where
L is the length of a square
Given the following parameter
A = 103.5ft^2
Substitute
103.5ft^2 = L²
L = √103.5
L = 10.17ft
Hence the measurement is closest to the side length of this counter top in feet is 10.17ft
he measurement is closest to the side length of this counter top in feet is 10.17ft
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which expression is equivalent to (-4^-5)^0
Answer:
can't see the options.
Step-by-step explanation:
Answer those please
11.) 0.5.
12.) 0.25.
13.)1/2,0.49,55%.
14.)2/5,0.6,35%.
15.) To get a whole number from a fraction you have to multiply the fraction by the denominator of the fraction=5/9×9=5.
or you can say that can add 4/9 to 5/9=9/9=1 a whole number also
The number of adult tickets sold at a school talent show, a, is 5 less than 3 times the number c of children’s tickets sold. Which equation represents the number of adult tickets sold?
Answer:
3c - 5
steps: A=3c+5
Find the equation of an ellipse centered at the origin with foci at the points( 0 , 3 ) and ( 0 , − 3 ). Additionally, the major axis of this ellipse has a length of 10. 15 POINTS, DUE IN 2 HOURS, will give BRAINLIEST!
Answer:
[tex]\frac{x^2}{25}+\frac{y^2}{16}=1[/tex]
Step-by-step explanation:
We know that the foci lies on the major axis, so it should lie on the x - axis. Additionally the center is the midpoint of the line joining the foci, at (0,0).
Now remember we have our foci at the point (0, ± 3). Our major axis length is 10, so if covers 5 units on either side of the x - axis. Therefore, c = 3, and a = 5. But remember that c is not part of an ellipse equation. Take a look at the formula below,
(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1
However we can solve for " b " instead, using c. Take a look at another major formula below,
c^2 = a^2 - b^2,
(3)^2 = (5)^2 - b^2,
9 = 25 - b^2,
- b^2 = 16,
b = 4 = - 4
Whether b = - 4 or b = 4, or equation will be the same.
(x - 0)^2 / (5)^2 + (y - 0)^2 / (4 or - 4)^2 = 1,
x^2 / 25 + y^2 / 16 = 1
Our solution is hence option number 1 : [tex]\frac{x^2}{25}+\frac{y^2}{16}=1[/tex]
Need to find x please.
Answer:
4 MIUSE 90 PLUSE 22
Step-by-step explanation:
Find the value(s) of k such that 4x² + kx + 4 = 0 has 1 rational solution
Answer:
If you mean only one rational solution, the answer is
[tex]k_1 = 8, k_2 = -8[/tex]
If you mean at least 1 rational solution, the answer is
[tex]k\in (-\infty, -8]\cup[8, \infty)[/tex]
Step-by-step explanation:
[tex]4x^2 + kx + 4 = 0[/tex]
Let's calculate the discriminant.
[tex]\Delta = b^2 - 4ac[/tex]
[tex]\Delta = k^2 -4 \cdot 4 \cdot 4[/tex]
[tex]\Delta = k^2 -64[/tex]
Now, remember that:
[tex]\text{If } \Delta > 0 : \text{2 Real solutions}[/tex]
[tex]\text{If } \Delta = 0 : \text{1 Real solution}[/tex]
[tex]\text{If } \Delta < 0 : \text{No Real solution}[/tex]
Therefore, I will just consider the first two cases.
[tex]k^2 - 64 > 0[/tex]
and
[tex]k^2 -64 = 0[/tex]
[tex]\boxed{\text{For } k^2 - 64 > 0}[/tex]
[tex]k^2 > 64 \Longleftrightarrow k>\pm\sqrt{64} \Longleftrightarrow k\in (-\infty, -8)\cup(8, \infty)[/tex]
[tex]\boxed{\text{For } k^2 - 64 = 0}[/tex]
[tex]k^2 = 64 \Longleftrightarrow k=\pm\sqrt{64} \implies k_1 = 8, k_2 = -8[/tex]
A ball flies through the air. Right before it hits the ground, its speed is 10 meters/second and it has 500 joules of kinetic energy. The mass of the ball is kilograms.
Answer:
10 kg
Step-by-step explanation
Explanation:
Kinetic Energy = 1/2 * M (V square )
M is mass and V is velocity of the ball
500J = 1/2 *M *( 10)*(10)
M = 10 kg
Answer:
10 kg
Step-by-step explanation:
Formula for the kinetic energy:
½mv²
Find the mass:
= ½ × m × 10² = 500 joules
= 50 × m
m = 500 ÷ 50
m = 10 kg
The answer is 10 kg.
Which two ordered pairs represent a proportional relationship?
OA. (2, 2) and (4, 4)
ОВ.
(4, 3) and (4,4)
OC. (3, 2) and (4, 4)
OD. (2, 2) and (4, 6)
I need the answer ASAP
Answer:
Hey there!
(2, 2) and (4, 4) represent a proportional relationship.
Let me know if this helps :)
Six classes from a school in Indiana collected a total of 2,166 pounds of paper to recycle. if each class collected the same amount, how much did each class collect?
Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax). How much will someone earning $43,047 a year pay towards social security?
Answer:
$1807.94
Step-by-step explanation:
Given that:
Annual income = $43047
Social security (FICA tax) = 4.2% of the gross wages
To find:
Social security paid = ?
Solution:
Social security (FICA tax) is calculated by finding the 4.2% of the Total Gross Annual income.
i.e. for the given value, the social security paid can be calculated as:
4.2% of $43047
[tex]\Rightarrow \dfrac{4.2}{100}\ of \ \$43047\\\Rightarrow \dfrac{42}{1000}\times 43047\\\Rightarrow 0.042\times 43047\\\Rightarrow \bold{\$1807.97}[/tex]
Therefore, the Social Security paid is $1807.94.
During a science experiment, Daniel noted the starting temperature of a At the end of the experiment, the change in temperature was What was the final temperature?
Complete question :
During a science experiment, Daniel noted the starting temperature of a -4°F. At the end of the experiment, the change in temperature was -5°F. What was the final temperature?
A.-1 B.1 C.9 D.-9
Answer:
D.) - 9
Step-by-step explanation:
Given the following :
Temperature at the start of experiment = - 4°F
At the end of experiment, change in temperature = - 5°F
This means between the temperature at the start of the experiment was - 4°F and during the cause of the experiment, there was a change in temperature of - 5°F.
Hence, the final temperature is the sum of the initial temperature and and the temperature change recorded.
Initial temperature + temperature change
-4°F + (-5°F)
- 4°F - 5°F = - 9°F
Hence, final temperature = - 9°F
Answer:
The answer is 9
Given the following :
Temperature at the start of experiment = - 4°F
At the end of experiment, change in temperature = - 5°F
This means between the temperature at the start of the experiment was - 4°F and during the cause of the experiment, there was a change in temperature of - 5°F.
Hence, the final temperature is the sum of the initial temperature and and the temperature change recorded.
Initial temperature + temperature change
-4°F + (-5°F)
- 4°F - 5°F = - 9°F
Hence, final temperature = - 9°F
Need help stuck with this
Answer:
2 is scalene
3 is obtuse
4 is isosceles
Step-by-step explanation:
Christopher has breakfast at a cafe and the cost of his meal is $36.00dollar sign, 36, point, 00. Because of the service, he wants to leave a 10%, percent tip.
Answer: $39.60
Step-by-step explanation:
Here is the correct question:
Christopher has breakfast at a cafe and the cost of his meal is $36.00 . because of the service he wants to leave a 10% tip.What is his total bill including tip?
His total bill will be the addition of the cost of his meal and the tip. This will be:
= $36.00 + (10% × $36.00)
= $36.00 + $3.6
= $39.60
His total bill including tip is $39.60
Solve 25n=2×25 for n. You can use a related equation. n = [tex]\frac{2*25}{25}[/tex]
Answer:
n=2
Step-by-step explanation:
25n=2×25
Divide each side by 25
25n/25=2×25/25
n = 2 * 25/25
n =2
Express the formula d=rt in teens of the time, t use your formula to find the time the distance is 49 and the rate is 8.
Answer:
d=rt
rt=d
t= d/r
t= 40/8
t= 5
Solve for s.
(6s - 5)(s - 3) = 0
Write your answers as integers or as proper or improper fractions in simplest form.
S = or s =
Answer:
s = 5/6, s = 3
Step-by-step explanation:
(6s - 5)(s - 3) = 0
Solving for s:
1. ...........
6s - 5 =06s = 5s = 5/62. ...........
s - 3 = 0s =3Find the coordinates of point A, if point M(-1, 2) is the midpoint of segment AB and B has coordinates of (3, -5) A. ( -5, 9) B. ( 1, -1 ) C. ( 4, 3) D. ( -2 , 4)
Answer:
A. (-5,9)
Step-by-step explanation:
hard to explain but i found the distance of M and B which is (4,7). using this i added that with M which equals (-5,9)
(sorry for bad explanation)
Given directed line segment PR below, find the coordinates of Q on PR
such that the ratio of PQ to QR is 2:1.
Answer:
[tex](\frac{4}{3},-3)[/tex]
Step-by-step explanation:
The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at ([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) is given by the formula:
[tex]x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1[/tex]
From the graph, the location of the point is P(2, 5), R(1, -7). Let point Q be (x, y) which divides PR in ratio 2:1. Coordinates of point Q is at:
[tex]x=\frac{a}{a+b}(x_2-x_1)+x_1=\frac{2}{2+1}(1-2)+2=\frac{2}{3}(-1)+2=\frac{4}{3} \\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1=\frac{2}{2+1}(-7-5)+5= \frac{2}{3}(-12)+5=-3[/tex]
Point Q is at [tex](\frac{4}{3},-3)[/tex]
Use calculator to decide whether each statement is true or false. It may be that a true statement will lead to results that differ in the last decimal place due to rounding error.
tan² 72° 25' + 1 = sec² 72° 25'
Answer: 72.416
Step-by-step explanation: