Answers
The parent function is given to be:
[tex]f(x)=10^x[/tex]The new function is given to be:
[tex]g(x)=-4f(x)+12[/tex]Therefore, the function will be:
[tex]g(x)=-4(10)^x+12[/tex]The y-intercept is the value of y when x = 0. Therefore, we have:
[tex]\begin{gathered} y=-4(10)^0+12 \\ y=-4+12 \\ y=8 \end{gathered}[/tex]Therefore, the y-intercept is:
[tex]\mathrm{Y\:Intercepts}:\:\left(0,\:8\right)[/tex]Related Questions
Need help ASAP thank you
Answers
Domain and range of a function is the set of values that we are allowed to enter into our function. This set consists of the x values for a function like f. (x). The set of values that a function can accept as input is known as its range.
answer -2< = x< = 3.
What are some illustrations of the domain and range of a function?
A simple function, such f(x) = x2, can only have the counting numbers 1, 2, 3, etc. as its domain (what goes in) and the set of numbers 1, 4, 9, etc. as its range (what comes out). Another function, g(x) = x2, may have a range of..., and an integer domain of..., -3, -2, -1, 0... 1, 2, 3.
To learn more about Domain refer to:
https://brainly.com/question/1369616
#SPJ13
A can of beans has surface area 329 cm². Its height is 14 cm. What is the radius of the circular top?
Answers
radius = 1/2 x (square root of 14^2 + 2 x 329 / pi) - 14 / 2
radius = 3.07 to 2dp
Eliminate factors equivalent to 1 and rewrite the right side of this equation
Answers
Find the variance and the standard deviation of the following set,(5,6,7,8,9)
Answers
To find the variance, and standard deviation, calculate first for the mean.
[tex]\begin{gathered} \mu=\frac{\sum x_i}{n} \\ \mu=\frac{5+6+7+8+9}{5} \\ \mu=\frac{35}{5} \\ \mu=7 \end{gathered}[/tex]Now that we have the mean, we can now solve for the variance.
[tex]undefined[/tex]A bank deposit slip shows a total of $441 in $1 loonies and $2 coins. If the number of $2 coins was 3 times the number of $1 loonies, how many of each are there?
Answers
The number of $1 loonies are 63 and the number of $2 coins are 189
Let x be the number of $1 loonies and y be the number of $2 coins.
A bank deposit slip shows a total of $441 in $1 loonies and $2 coins.
so, we get an equation,
x + 2y = 441 .................(1)
The number of $2 coins was 3 times the number of $1 loonies.
so, we get an equation,
y = 3x .............(2)
Substitute the above value of in equation (1),
x + 2(3x) = 441
x + 6x = 441
7x = 441
x = 63
Substitute above value of x in equation (2),
y = 3 * 63
y = 189
Therefore, the number of $1 loonies are 63 and the number of $2 coins are 189
Learn more about the equation here:
https://brainly.com/question/649785
#SPJ1
Can someone help me asap
Answers
Answer:
A) 670
B) 192 and 670
C) 192
please help asap! will give brainliest
Answers
Answer:
See below
Step-by-step explanation:
It'll look like this (but you will need to change the + - signs on the x and y axes !)
Step by step
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
Your coordinates and the new coordinates after 180 degree rotation
(4, 4) ➡️ (-4, -4)
(4, 1) ➡️ (-4, -1)
(2, 1) ➡️ (-2, -1)
(2, 3) ➡️ (-2, -3)
So with each rule in transformations, you change the sign and/or the x and y change places. In the 180 degree rotation, we simply change the x and y sign, taking the shape from a positive x and y location in quadrant I to a negative x and y location in quadrant 3.
See my attachment below
Solve quadratic equations by finding square roots (2r-5)^2=81
Answers
r
=
7
r
=
−
2
Explanation:
(
2
r
−
5
)
2
=
81
or
2
r
−
5
=
±
√
81
or
2
r
−
5
=
±
9
or
2
r
=
5
±
9
or
r
=
5
±
9
2
or
r
=
5
+
9
2
or
r
=
14
2
or
r
=
7
-------------Ans
1
or
r
=
5
−
9
2
or
r
=
−
4
2
or
r
=
−
2
------------Ans
2
https://socratic.org/answers/295715
i have to find out if the triangles are similar and if so y
Answers
We will determine the height of the tree as follows:
*First: We take the height of Dave to just ft, that is:
We know that one feet has 12 inches, so:
[tex]x=\frac{4\cdot1}{12}\Rightarrow x=\frac{1}{3}[/tex]Now, we add that to the 6 feet:
[tex]6+\frac{1}{3}=\frac{19}{3}=6.333\ldots[/tex]So, his height is 19/3 ft.
Now, we determine the height of the tree as follows:
[tex]\frac{15}{(\frac{19}{3})}=\frac{y}{66+15}[/tex]Here y represents the height of the tree, now we solve for it:
[tex]\frac{45}{19}=\frac{y}{81}\Rightarrow y=\frac{45\cdot81}{19}\Rightarrow y=\frac{3645}{19}[/tex][tex]\Rightarrow y\approx191.8[/tex]So, the height of the tree is approximately 191.8 feet.
Sales are $500,00 and variable cost are $350,00. What is the contribution margin ratio
Answers
If Sales are $500,000 and variable cost are $350,000. The contribution margin ratio is 30%.
What is contribution margin ratio?Contribution margin ratio can be determine or find by substracting or deducting the variables cost form the sales and then dividing it by the sales.
Now let find the contribution margin ratio using this formula
Contribution margin ratio = Sales - Variable cost / Sales
Where:
Sales = $500,000
Variable costs = $200,000
Let plug in the formula
Contribution margin ratio = $500,000 - $350,000 / $500,000
Contribution margin ratio = $150,000 / $500,000
Contribution margin ratio = 0.3 × 100
Contribution margin ratio = 30%
Therefore we can conclude that 30% is the contribution margin ratio .
Learn more about Contribution margin ratio here: https://brainly.com/question/24170559
#SPJ1
One option in a roulette game is to bet $20 on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) Ifthe ball lands on red, you get to keep the $20 you paid to play the game and youare awarded $20. If the ball lands elsewhere, you are awarded nothing and the $20that you bet is collected. Find the expected payback for this roulette game if you bet $20 on red.The expected payback is $ (Round to the nearest cent as needed.)
Answers
In order to calculate the expected value, we need to calculate the sum of products of every possibility (the product of its pr
solve for y y - 2x = 15
Answers
Starting with the equation:
[tex]y-2x=15[/tex]Add 2x to both sides of the equation:
[tex]y-2x+2x=15+2x[/tex]Since -2x+2x=0, then:
[tex]y=15+2x[/tex]how do I do this question
Answers
The value of x can be determined as,
[tex]\begin{gathered} \tan 39^{\circ}=\frac{x}{15} \\ x=15\tan 39^{\circ} \\ x=12.15 \end{gathered}[/tex]Thus, the required value of x is 12.15.
You deposit $1,200 in an account that earns 5% interest compounded monthly. Estimate how long it would take for the investment to double.
Answers
17.5 years.
It takes 17.5 years to double the investment of $1200.
What is compound interest?Compound interest simply means that the interest on a bank account, loan, or investment grows exponentially over time rather than linearly.Given ,
P = $1200
r = 5 % = 0.05
n = 12
A = $2400( Since double of p)
Equation ,
A = [tex]P ( 1 + r / n)^{nt}[/tex]
2400 = [tex]1000 ( 1 + .05/ 12)^{12t}[/tex]
2.4 = [tex](1 + .05/12)^{12t}[/tex]
log both sides,
log 2.4 = log[tex]( 1 + .05/ 12)^{12t}[/tex]
log 2.4 = 12t . log ( 1 + .05/ 12)
(log 2.4) / (12 log (1 + .05/ 12)) = t
t = 17.5 years.
To learn more about compound interest refer to :
https://brainly.com/question/28020457
#SPJ13
Convert 0.03 inches to days to grow 3 inches
Answers
Answer: 700
Step-by-step explanation:
i am smart
Sharon baked 72 cookies for herclassmates. Her brothers ate some ofthe cookies and 54 cookies remain.Find the percent of decrease.
Answers
Answer
Percent decrease = 25%
Explanation
Percent decrease is given as
[tex]\text{Percent decrease = }\frac{Amount\text{ decreased}}{\text{Original amount}}\times100\text{ percent}[/tex]For this question,
Amount decreased = (Original amount) - (Amount remaining)
Amount decreased = 72 - 54 = 18 cookies
Original amount = 72 cookies
Percent decrease = (18/72) × 100%
Percent decrease = 25%
Hope this Helps!!!
I need help breaking it down to understand the answer.
Answers
SOLUTION
Each amount in the situation with the expression that represents it will be shown below
Situation Expression
The centimeters of rain on Thursday r
How many more centimeters of rain fell on Saturday 0.15r
than on Thursday
The centimeters of rain on Saturday 1.15r
Water drips from a faucet at a rate of 41 drops a minute assuming there is a 15,000 drop in a gallon. How many minutes will it take for the dripping faucet to fill a 1 gallon bucket?
Answers
Corbin begins calculating the volume of a cylinder, in cubic meters, using the following steps. V = Bh V = (113.04) x 20 Which model could represent Corbin's cylinder? 120 m 113.04 m 20 m 36 m A 20 m 6 m 20 m *50.52 m
Answers
Given the following expression:
[tex]\begin{gathered} V=Bh \\ \Rightarrow V=(113.04)\cdot(20) \end{gathered}[/tex]Notice that the value of the area of the base is the following:
[tex]B=\pi\cdot r^2=113.04[/tex]with pi = 3.14, we can solve for r to find the radius of the cylinder:
[tex]\begin{gathered} 3.14r^2=113.04 \\ \Rightarrow r^2=\frac{113.04}{3.14}=36 \\ \Rightarrow r=\sqrt[]{36}=6 \\ r=6 \end{gathered}[/tex]therefore, the cylinder has radius 6 and height 20 (the correct model is C)
an astronsut weighs 174 pounds on earth and 29 pounds on the moon if his daughter weighs 108 pounds on earth what is the daughters weight on the moon in pounds
Answers
Answer:
Step-by-step explanation:
18 pounds
Sole the following problem by using the 4 measurements given
Answers
The symbol Σ (called sigma) means "sum up". So, in this case, the expression indicates the sum of the (xᵢ)², where i goes from 1 to 4, which is 1, 2, 3 and 4. Then, we have:
[tex]\sum_{i\mathop{=}1}^4(x_i)^2=(x_1)^2+(x_2)^2+(x_3)^2+(x_4)^2[/tex]From the word problem, we know the value of each xᵢ.
[tex]\begin{gathered} x_1=5 \\ x_2=13 \\ x_3=19 \\ x_4=16 \end{gathered}[/tex]Finally, we operate.
[tex]\begin{gathered} \sum_{i\mathop{=}1}^4(x_i)^2=(x_1)^2+(x_2)^2+(x_3)^2+(x_4)^2 \\ \sum_{i\mathop{=}1}^4(x_i)^2=(5)^2+(13)^2+(19)^2+(16)^2 \\ \sum_{i\mathop{=}1}^4(x_i)^2=25+169+361+256 \\ \sum_{i\mathop{=}1}^4(x_i)^2=811 \end{gathered}[/tex]AnswerThe result of computing the given expression is 811.
In ADEF below, mZD=3x+5, mZE = 4x-15, and mZF = 2x+10. Which statement is1) DF=FE2) DE = FE3) m
Answers
Therefore:
[tex]DF=FE[/tex]properties of chords. leave answer in simplest form. DONT TAKE FOREVER TO ANSWER
Answers
Let's put more details in the figure to better understand the problem:
To be able to determine DC, let's treat this as two similar triangles and apply ratio and proportion.
We get,
[tex]\text{ }\frac{\text{ AB}}{\text{ OB}}\text{ = }\frac{\text{ EF}}{\text{ OE}}[/tex][tex]\frac{18}{12}\text{ = }\frac{x}{\text{ 10}}[/tex][tex]\frac{18\text{ x 10}}{12}\text{ = }x[/tex][tex]\frac{180}{12}\text{ = }x[/tex][tex]15\text{ = }x[/tex][tex]\text{ FE = 15}[/tex]If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc. Therefore, we can say that FE = ED.
Determining the length of FD, we get:
[tex]\text{ FE + ED = FD}[/tex][tex]\text{ FE + FE = FD}[/tex][tex]\text{ 15 + 15 = FD}[/tex][tex]\text{ FD = 30}[/tex]Therefore, FD = 30
solve the literal equation for x.v= x• y•zx=
Answers
v = x• y•z
v/(y•z) = x• y•z/(y•z) (dividing by (y•z) on both sides of the equation)
v/(y•z) = x (simplifying)
The answer is x=v/(y•z)
Stella is a scientist. She observes and counts 210 bacteria in a culture. Later, Stella counts again and finds the number has increased by 30%. How many bacteria are there now? There are bacteria now.
Answers
Answer:
273
Step-by-step explanation:
you just need to find 30% of 210 which is 63
Then you do 210 + 63 which is 273 bacteria
Which of the following is equivalent to the expression below?
√28-√63+√112
Answers
The value of given expression is 3√7.
What is the expression?
An expression is a set of numbers or variables combined using the operations + , – , × or ÷ . Arithmetic expression that contains only numbers and mathematical operators and algebraic expression that contains variables, numbers and mathematical operators.
F(x) = √28 - √63 + √112
F(x) = 2√7 - 3√7 + 4√7
F(x) = 3√7
Option A is right answer.
To know more about Expression visit:-
brainly.com/question/15994491
#SJP13
Hello, I really need help solving this. It is a practice problem from my ACT prep guide. The subject is trigonometry. The answer options are at the bottom, *one answer per box*
Answers
Answer:
To find the domain of the function f(x)=tanx restricted so that its inverse function exists
we know that,
Since the range of tan inverse x is (-π/2, π/2), the answer should lie in this interval. Assume that y = tan -1 x. Then by the definition of inverse tan, tan y = x. The value of y in the interval (-π/2, π/2) that satisfies the equation tan y = x .
The domain of tanx is restricted to (-π/2, π/2). The range of tanx is always real numbers.
we get that,
The domain of f(x)=tanx is restricted to (-π/2, π/2) so that the inverse function exists. This means that all functional values of f(x)=tan^-1 x are on the interval (-π/2, π/2).
Clara scores 24 points per coin. In all, how many coins does Clara have to collect to score a total of 48 points?
Answers
what is the error and how do I explain it
Answers
When we do multiplications of polynomials we have to multiply every term of the first expression with every term of the second expression, then:
[tex]\begin{gathered} (k+4)^2=(k+4)(k+4) \\ =k\cdot k+4k+4k+4\cdot4 \\ =k^2+8k+4^2 \\ =k^2+8k+16 \end{gathered}[/tex]Now, the error in the expression given is that they did not do all the possible multiplications, they only squared the two terms.
How many liters each of a 55% acid solution and a 80% acid solution must be used to produce 50 liters of a 60% acid solution? (Round to two decimal places if necessary.)
Answers
Given:
Let x denote the number of liter solutions.
[tex]\begin{gathered} \text{acid}+\text{acid}=\text{acid} \\ 55\text{ \%x+80 \%( 50-x)=}60\text{ \%}\times50 \end{gathered}[/tex]Solve the equation for x,
[tex]\begin{gathered} 55\text{ \%x+80 \%( 50-x)=}60\text{ \%}\times50 \\ \frac{55}{100}x+\frac{80}{100}(50-x)=\frac{60}{100}\times50 \\ 0.55x+0.8(50-x)=30 \\ 0.55x+40-0.8x=30 \\ -0.25x=30-40 \\ x=-\frac{10}{-0.25} \\ x=40 \end{gathered}[/tex]It gives,
[tex]\begin{gathered} 40\text{ liters of 55 \% acid will be n}eeded \\ (50-x)=(50-40)=10\text{ liters of 80 \% acid will be n}eeded \end{gathered}[/tex]Answer: 40 liters of a 55% acid solution and 10 liters of 80% acid solution must be used to produce 50 liters of a 60% acid solution
