Answer:
-3.0
Explanation:
First, we open the bracket and take note that:
[tex]+\times-=-[/tex][tex]\begin{gathered} -1.8+\left(-1.2\right)=-1.8-1.2 \\ =-3.0 \end{gathered}[/tex]Next, we determine Tom's mistake.
[tex]\begin{gathered} 1.8+(-1.2)=1.8-1.2 \\ =0.6 \end{gathered}[/tex]Therefore, the mistake Tom made was that he ignored/forgot the negative sign before 1.8.
The vertex form of a function is g(x) = (x-3)² +9. How does the graph of g(x) compare to the graph of the function f(x) = x²?
• g(x) is shifted 3 units left and 9 units up.
• g(x) is shifted 3 units right and 9 units up.
• g(x) is shifted 9 units left and 3 units down.
• g(x) is shifted 9 units right and 3 units down.
The correct option is g(x) is shifted 3 units left and 9 units up, for the given graph of function f(x) = x².
Whats is referred as the translation?In geometry, translation refers to a function which also shifts an object a specified distance. The component is not otherwise altered. It hasn't been rotated, mirrored, or resized.Every spot of the item should be moved in same direction for much the same distance during a translation.When conducting a translation, this same initial object is referred to as the pre-image, as well as the object after translation is referred to as the image.For the given question,
The graph of the parent function is f(x) = x².
To from the vertex form of a function is g(x) = (x-3)² +9, the process is-
First, shift three units to the left, such that g(x) becomes (x-3)².Now, shift the function 9 units up to form (x-3)² + 9.Thus, the vertex of the function is g(x) = (x-3)² +9 is formed by translation of g(x) is shifted 3 units left and 9 units up.
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the ratio of baseballs to basketballs is 3 to 7 if there are 21 basketballs how many baseballs are there? how many baseballs and basketballs in total?
Answer:
30 baseballs and basketballs
Hope I helped
Step-by-step explanation:
21 divided 7 = 3 times 3 = 9 plus 21 = 30 baseballs and basketballs in total.
Answer:9:21
Step-by-step explanation: 3*3=9 and 7*3=21
Owen is deciding between two parking garages. Garage A charges an initial fee of $10 to park plus $1.50 per hour. Garage B charges an initial fee of $4 to park plus $3 per hour. Let A represent the amount Garage A would charge if Owen parks for tt hours, and let BB represent the amount Garage B would charge if Owen parks for tt hours. Graph each function and determine the number of hours parked, t that would make the cost of each garage the same. I NEED THIS ON A GRAPH
Answer:
At 4 hours both options will be $16.00
Step-by-step explanation:
find the equation of the line in slope–intercept form that passes through the following point with the given slope. Simplify your answerPoints (-10, -6); Slope = -4
Given:
[tex](x_1,y_1)=(-10,-6)\text{ ; slope(m)=-4}[/tex][tex]y-y_1=m(x-x_1)[/tex][tex]y+6=-4(x+10)[/tex][tex]y+6=-4x-40[/tex][tex]y=-4x-46[/tex]Above equation is the slope intercept form.
A line passes through the point (8, -3) and has a slope of 5/4.
Write an equation in slope-intercept form for this line.
Answer: y = 5/4x - 13
Step-by-step explanation:
m = 5/4
y = mx + b
substitute the coordinate into the equation to find b
-3 = 5/4(8) + b
b= -13
Find the measures of angle x and angle y
the 2 angles are equal so both are 148
A store owner buysy scooter for $40.99 and sells it for $94. What is the percent of increase for the price of the scooter? Round to the nearest tenth if necessary.
Percentage increase in the price of scooter = 129.3%
What is percentage?The word "percentage" refers to a figure that is stated as a percentage of 100, a relative value that denotes hundredths of any amount. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
For example 2% means [tex]\frac{2}{100}[/tex]. Here 2 is expressed as a fraction of 100.
Cost price of scooter = $40.99
Selling price of scooter = $94
Increase in price of the scooter = $(94 - 40.99)
= $53.01
Percentage increase in the price of scooter = [tex]\frac{53.01}{40.99}\times 100[/tex]
= 129.3%
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Use the normal distribution to the right to answer the questions. (a) What percent of the scores are less than 19? (b) Out of 1500 randomly selected scores, about how many would be expected to be greater than 21?
Percent of the scores are less than 19 is 45.4%.
591 many would be expected to be greater than 21.
A data set with a normal distribution has the majority of its values clustered in the middle of the range, while the remainder taper off symmetrically toward either extreme.
(a) μ = 19.6, σ = 5.2
First, find the z-score.
z = (x − μ) / σ
z = (19 − 19.6) / 5.2
z = -0.115
To calculate the probability, use a chart or calculator.
P(Z < -0.115) = 0.454
45.4 % of the scores are under 19.
(b) First, find the z-score.
z = (x − μ) / σ
z = (21 − 19.6) / 5.2
z = 0.269
To calculate the probability, use a chart or calculator.
P(Z > 0.269) = 1 − P(Z < 0.269)
P(Z > 0.269) = 1 − 0.606
P(Z > 0.269) = 0.394
Among the scores, 39.4% are higher than 21.
There are 1500 scores, therefore 591 represent 39.4% of those.
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The value of a stock decreases by an average of 17 dollars each week. Which of the following represents the total average decrease in the stock after 6 weeks?
6|−17| = 102 dollars
|−17| − |6| = 11 dollars
|−17| − 6 = 11 dollars
−6|17| = 102 dollars
The total average decrease in the stock after 6 weeks is represented by 6|−17| = 102 dollars.
It is given that the value of a stock decreases by an average of 17 dollars each week.We need to find the total average decrease in the stock after 6 weeks.Let the starting price of the stock be "p".Let the number of weeks passed be represented by "x".We know that each week, the value of the stock decreases by 17 dollars.So, in "x" number of weeks, the decrease in the price of the stock is the product of the decrease per week and the number of weeks.The decrease in the price of the stock is |-17|*x.We need to find the decrease after 6 weeks.This means that the value of "x" is 6.The decrease in the price of the stock is |-17|*6.The decrease in the price of the stock is 102.Thus, the equation that represents the above situation is 6|−17| = 102 dollars.To learn more about equations, visit :
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Suppose there is a 26.2% probability that a randomly selected person aged 20 years or older is a jogger. In addition, there is a 10.2% probability that arandomly selected person aged 20 years or older is male, given that he or she jogs. What is the probability that a randomly selected person aged 20years or older is male and jogs? Would it be unusual to randomly select a person aged 20 years or older who is male and jogs?The probability that a randomly selected person aged 20 years or older is male and jogs is(Round to three decimal places as needed.)
Answer:
P(J∩M) = 0.027
Explanation:
Let's call J the event that a selected person aged 20 years or older is a jogger and M the event that a selected person aged 20 years or older is male.
Then, the probability P(J∩M) that a randomly selected person aged 20
years or older is male and jogs can be calculated as:
P(J∩M) = P(J) * P(M|J)
Where P(J) is the probability that a selected person aged 20 years or older is a jogger and P(M|J) is the probability that hat a selected person aged 20 years or older is male given that he or she jogs.
So, replacing P(J) by 26.2% and P(M|J) by 10.2%, we get:
P(J∩M) = 0.262 * 0.102
P(J∩M) = 0.027
P(J∩M) = 2.7%
Therefore, the probability that a randomly selected person aged 20 years or older is male and jogs is 0.027
Master input values on the left x with the output values on the right why
Given the function;
y = x/2 + 1
x is the input value
y is the output value
If x = 2
y = 2/2 + 1
y = 1 + 1
y = 2
when x = 4
y = 4/2 + 1
y = 2 + 1
y = 3
when x = 7
y = 7/2 + 1
y = 3.5 + 1
y = 4.5
when x = 9
y = 9/2 + 1
y = 4.5 + 1
y = 5.5
Use the graph to fill in the blank with the correct number.
f(0) =
6
5
4
3
2
1
-5-4-3-2-1
-1
-2-
23
-3-
-4
-5
1
2345
Numerical Answers Expected!
Answer for Blank 1:
Answer:
3029
Step-by-step explanation:
1
5. What is the value of 4x² + x + x
11
2)
9
1|2
1/2
3) 10호
4) 17를
-1*
when x = 16?
Rational Exponent Defin
Answer:
[tex] 17\frac{1}{2} [/tex]
Step-by-step explanation:
Explanation in the photo.
Assuming no denominator equals zero which expression is equivalent to the given expression
From the problem :
[tex]\frac{\frac{r-5}{9r}}{\frac{5-r}{3r^2}}[/tex]We can rewrite the expression as multiplication :
[tex]\begin{gathered} \frac{r-5}{9r}\times\frac{3r^2}{5-r} \\ \Rightarrow\frac{-(5-r)}{9r}\times\frac{3r^2}{5-r} \\ \Rightarrow-\frac{r}{3} \end{gathered}[/tex]The answer is C -r/3
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 26 liters per minute. There are 600 liters in the pond to start.
Let W represent the total amount of water in the pond (in liters), and let I represent the total number of minutes that water has been added. Write an equation
relating I to T. Then use this equation to find the total amount of water after 19 minutes
The equation for the conditions given in the question can be written as: W = 600 + (26)I and the total amount of water after 19 minute is 1094.
What is an equation?
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
As given in the question,
The amount of the water at the beginning is 600 liters.
And the rate of water being added is 26 liters per minute.
Let I be the number of minutes. So, the amount of water added in I minute is 26I.
Adding the initial amount and the amount of water after I minute. We get the equation as:
W = 600 + (26)I
Here, W represents the total amount of water in the pond.
Putting the value of I as 19 in the above equation.
W = 600 + (26)(19)
W = 600 + 494
W = 1094
Hence, the total amount of water after 19 minute is 1094 liters.
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Calculate percentage: 75 people to 25 people
Given:
75 people to 25 people
To find:
The percentage value.
Explanation:
The percentage is,
[tex]\begin{gathered} \frac{75}{25}\times100\text{ \% =3}\times100\text{ \%} \\ =300\text{ \%} \end{gathered}[/tex]Hence, the percentage is 300%.
Final answer:
The percent value is 300%
A falcon swoops down to snatch an animal from the ground before flying back into the air. Her height above the ground in feet is shown after x seconds. What does the x intercept(s) represent?
We are given a graph of the height of a falcon with respect to time. The x-intercept of the graph represents the height of the falcon when x = 0, that is, the initial height. since the graph shows that the x-intercept is 8, this means that the falcon starts 8 feet in the air.
Determine whether one figure is a dilation of the other. Complete the justification of your answer.Triangle XYZ has angles measuring 53° and 23º. Triangle X'Y'Z' has angles measuring 23°and 90°.Triangle X'Y'Z' is not a dilation of Triangle XYZ. The ratios of the lengths of the correspondingsides are equal because the triangles havethree pairs of congruent angles.havedo not have
If one triangle is the dilation of the other triangle, then they are similar
The addition of the angles in a triangle is equal to 180°
Triangle XYZ has angles measuring 53° and 23º, then the third angle measure:
53° + 23° + x = 180°
x = 180° - 53° - 23°
x = 104
AA similarity postulate states that If two angles in one triangle are congruent to two angles in another triangle, the two triangles are similar
In this case, the two triangles have only one angle in common, then the AA postulate is not satisfied, and the triangles are not similar nor dilated.
Triangle X'Y'Z' is not a dilation of Triangle XYZ. The ratios of the lengths of the corresponding sides are not equal because the triangles do not have three pairs of congruent angles.
Part 2 of 2 Using x as the unknown number, write the statement below as an equation. Four times a number, minus 9, is equal to three times the number, plus 8 solve the equation for x
Answer:
4x-9=3x+8
17
Step-by-step explanation:
Help me pls this is hard :,)
Answer: My friend could rewrite the fraction as a percent and compare that to the given percent. This is a good strategy if the denominator is `5`, `10`, `20`, or `50`. She could also turn the percent into a fraction by writing the percent over `100`. This is a good strategy if the new fraction can be simplified to have a common denominator with the original fraction.
Step-by-step explanation: BOOM I'M A PRO
I got you
Factor the polynomial completely.
x3 + 6x + x2 + 6
Group of answer choices
(x2 + 1)(x + 6)
(6x + 1)(x + 1)
(x2 + 6)(x + 1)
(x2 + 1)(6x + 1)
The factors of the given polynomial are (x² +6) (x +1) =0.
Define polynomial.A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x. An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable). A sizable subset of algebraic expressions are polynomials. Polynomials are any expressions where the powers of the variables are all whole numbers. They frequently have a wide range of applications since they encompass such a sizable portion of all algebraic expressions.
Given Data
Polynomial
x ³+ x²+6x +6
Factorizing,
x²(x +1) + 6(x+1) =0
(x² +6) (x +1) =0
Option C) is correct.
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Hey anyone mind helping me please? Without the random numbers.. I actually need help.
Answer:
A
Step-by-step explanation:
Corresponding sides of similar figures have proportional side lengths.
m=1/4(w+d) solve for d , how do I solve for this equation?
The value of d in the equation is d= 4m-w
How to calculate the value of d ?The first step is to write out the equation given
m=1/4(w+d)
The value of d can be calculated as follows
m= w + d/4
Cross multiply both sides
4m= w + d
collect the like terms
4m -w= d
d= 4m-w
Hence the value of d in the equation is 4m-w
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I NEED HELP! this is the problem. The area of the trapezoid is 3/4x - 1/4 square centimeters. write two different pairs of expressions that represent possible lengths of the bases
Answer:
Step-by-step explanation:
The area of a trapezoid is A=(a+b/2)*h
So if you plug in what you know
3/4x-1/4 = (a+b/2)h
You would need the height but if you do have the height you can plug that in then just add a and b together as one variable so you can make a pair that equals that.
Which logical symbol would you use to change the sentence, "He can get his driver's license," into, "He cannot get his driver's license"?
Answer: The logical symbol for that sentence isV
You buy a bag of skittles that contains 500 pieces of candy in it. Each day you eathalf of the amount that is in the bag.1.Write an explicit and recursive formula for this sequence2.How many days will it take to where there is less than one skittle in the bag?
1. the sequence is:
500, 250, 125, ...
the common ratio (r) is:
250/500 = 1/2 = 0.5
125/250 = 1/2 = 0.5
So, the sequence is a geometric sequence.
Explicit formula:
[tex]\begin{gathered} a_n=a_1\cdot r^{n\text{ - 1}} \\ a_n=500\cdot0.5^{n\text{ - 1}} \end{gathered}[/tex]Recursive formula:
[tex]\left\{ \begin{aligned}a_1=500 \\ a_n=r\cdot a_{n\text{ - 1}}\end{aligned}\right.[/tex]2. In the formulas, n represents days. Using the explicit formula with an = 1, we get:
[tex]\begin{gathered} 1\text{ = 500}\cdot0.5^{n\text{ - 1}} \\ \frac{1}{500}=0.5^{n\text{ - 1}} \\ ln(\frac{1}{500})\text{ = (n - 1)}\cdot\ln (0.5) \\ \frac{ln(\frac{1}{500})}{ln(0.5)}+1\text{ = n} \\ 9.965=\text{ n} \end{gathered}[/tex]then, after 10 days there will be less than 1 skittle in the bag
Mike can make 7 holiday cards with the cardstock he already has on hand. He is also buying more paper, and he can make 12 additional cards with each package of cardstock he buys. Write an equation that shows how the total number of cards Mike can make, y, depends on the number of packages of cardstock he buys, x.
Answer:y = 12x + 7
Step-by-step explanation:
Divide:5.52 x 1031.2 x 105Write your answer in scientific notation. For example, you'd enter 2.3*10^4 for 2.3 x 104
The question can be solved as follows:
[tex]\frac{5.52\times10^3}{1.2\times10^5}=\frac{5.52}{1.2}\times10^{-2}=4.6\times10^{-2}[/tex]Hence the value of the given expression in scientific notation is expressed as:
[tex]\frac{5.52\times10^3}{1.2\times10^5}=4.6\times10^{-2}[/tex]help mee pleasee!!
thank you <3
A linear equation that models the price-sales relationship for this toy is y = -500x + 5000
In this question, we need to find a linear equation that models the price-sales relationship for this toy.
We have been given that the line passes through (6, 2000) and (8, 1000)
Using the formula for the two-point form of equation of line,
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y - 2000)/(1000 - 2000) = (x - 6)/(8 - 6)
(y - 2000)/(-1000) = (x - 6)/2
2(y - 2000) = -1000(x - 6)
y - 2000 = -500(x - 6)
y = -500x + 3000 + 2000
y = -500x + 5000
Therefore, a linear equation that models the price-sales relationship for this toy is y = -500x + 5000
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The value of a stock decreases by an average of 10 dollars each week. Which of the following represents the total average decrease in the stock after 8 weeks? O-101-18) = 2 dollars O-8|10|= 80 dollars O1-10)-8=2 dollars 81-101 = 80 dollars
The decrease on the value of stock is found to be 80 dollars and the second option is correct option
What is decrease on value of stock?The decrease on value of stock refers to reduction from the original value of the stock.
From the question we have that:
value of a stock decreases by an average of 10 dollars each week
This means that each week 10 dollars is subtracted from the value of the stock
How to find the total average decrease in the stock after 8 weeksif the stock reduces 10 dollars every week this is written mathematically as
1 week = 10 dollars
8 weeks = ?
cross multiplying gives
1 week * ? = 8 weeks * 10 dollars
? = 80 dollars
The unknown variable represented as ? is calculated to be 80 dollars
Hence multiplying the number of weeks by the amount reduced per week gives the decrease in stock and option b has modulus of 10 and the correct option
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