The -3 is not in the exponent
Explanation:
The parent function is [tex]f(x) = 2^x[/tex]. Plugging in x = 0 leads to y = 1. So the point (0,1) is on the f(x) curve. Going from (0,1) to (0,-2) is a vertical shift of 3 units downward. To represent this shift, we tack on a "-3" at the end of the f(x) function.
[tex]g(x) = f(x) - 3\\\\g(x) = 2^x - 3[/tex]
You could look at other points as well, but I find working with x = 0 is easiest.
As a check, plugging x = 0 into g(x) leads to...
[tex]g(x) = 2^x - 3\\\\g(0) = 2^0 - 3\\\\g(0) = 1 - 3\\\\g(0) = -2[/tex]
This confirms our answer.
Estimate 6 8 9 ( 1 9 10 ) by rounding to the nearest whole number. The estimate is the actual product because
Answer:
[tex]6\frac{8}{9} (1\frac{9}{10}) = 13[/tex]
Step-by-step explanation:
Given
[tex]6\frac{8}{9} (1\frac{9}{10})[/tex]
Required
Estimate
To do this; we start by converting both fractions to improper fraction
[tex]6\frac{8}{9} (1\frac{9}{10})[/tex]
[tex]\frac{62}{9} (1\frac{9}{10})[/tex]
[tex]\frac{62}{9} (\frac{19}{10})[/tex]
Open Bracket
[tex]\frac{62}{9} * \frac{19}{10}[/tex]
Combine to form a single fraction
[tex]\frac{62 * 19}{9 * 10}[/tex]
Multiply numerators and denominators
[tex]\frac{1178}{90}[/tex]
Convert fraction to decimal
[tex]13.0888888889[/tex]
Approximate to nearest whole number
[tex]13[/tex]
Hence, [tex]6\frac{8}{9} (1\frac{9}{10}) = 13[/tex]
Answer:
First box: 14
Second box: greater than
Third box: both factors were rounded up.
Step-by-step explanation:
I JUST DID IT AND GOT IT RIGHT!
HOPE IT HELPS!
Can I get the awnser to this?
Answer:
100
Step-by-step explanation:
Since the inscribed angle of a circle is always half of its corresponding, the measure of this angle is 200/2=100 degrees. Hope this helps!
Answer:
100
Step-by-step explanation:
A pen costs twice as much as a pencil. The total cost of 1 1 pen and 1 1 pencil is $2.10 $2.10 . If p p represents the cost of 1 1 pencil, which equation could you use to find p p ?
Answer:
Step-by-step explanation:
You didn't list any choices here, but it doesn't matter. There's only one way to get to the answer so we'll work it through and you can match it up to your choices. The only thing I don't know is how pens is identified if pencils is "p". So I'm going to use the words "pens" and "pencils" and you can take it from there at the end.
If a pen's cost IS twice as much as a pencil...
the word "is" indicates an equals sign, the words "twice as much" indicates 2 multiplied by something. To put that above sentence into an algebraic expression:
pen = 2 pencils
Now for the money part of this.
The total cost of 11 pens and 11 pencils IS (there's that word again!) 2.10
Therefore,
11 pens + 11 pencils = 2.10
But we know from the first expression that pen = 2 pencils so we make the substitution:
11(2 pencils) + 11 pencils = 2.10
I'm not sure how far you are to go with this. That's the main equation you need to solve this. If you were to go further with it you would distribute the 11 into the set of parenthesis to get:
22 pencils + 11 pencils = 2.10 and combine like terms:
33 pencils = 2.10 so
1 pencil is approximately $.06
Can I have some help please? Thanks!
Answer:
(22/7)/6=0.523809
Step-by-step explanation:
V=4/3πr^3
V=4/3π(1/2)^3=π/6
or (22/7)/6=0.523809
What is the value?
I’m so stuck :/
Answer:
15
Step-by-step explanation:
do PEMDAS
do parenthesis first so -3^2 plus 3 times 2
then do exponents so 9 plus 3 times 2
then multiplication so 9 plus 6
then addition so 15
hope this helps
Answer:
Hey!
Your answer is 15!!
Step-by-step explanation:
IF YOU NEED A FURTHER EXPLANATION PLS LET ME KNOW!
HOPE THIS HELPS!!
is xsquare+1/xsquare equal5 is quadratic or not
Answer:
Yes, it is a quadratic equation.
Step-by-step explanation:
Let's solve it to make it a quadratic equation:
=> [tex]\frac{x^2+1}{x^2} =5[/tex]
=> x²+1 = 5x²
=> 5x²-x²-1 = 0
=> 4x²-1 = 0
Comparing it with the standard form of quadratic equation i.e.
[tex]ax^2+bx+c = 0[/tex]
So, we get
a = 4 , b = 0 and c = -1
So, yes. It is a quadratic equation and it is a pure quadratic equation since b is equal to 0.
P(X< ) 1-P(X> ) A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the softball pitcher throws 30 curve balls, what is the probability that no more than 16 of them are strikes? Fill in the blanks below to represent the probability
Answer:
19.49% probability that no more than 16 of them are strikes
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In this problem, we have that:
[tex]n = 30, p = 0.626[/tex]
So
[tex]\mu = E(X) = np = 30*0.626 = 18.78[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.626*0.374} = 2.65[/tex]
What is the probability that no more than 16 of them are strikes?
Using continuity correction, this is [tex]P(X \leq 16 + 0.5) = P(X \leq 16.5)[/tex], which is the pvalue of Z when X = 16.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16.5 - 18.78}{2.65}[/tex]
[tex]Z = -0.86[/tex]
[tex]Z = -0.86[/tex] has a pvalue of 0.1949
19.49% probability that no more than 16 of them are strikes
What is the value of g(0)
-2
-1
3
6
Answer:
Step-by-step explanation:
An x value of 0 can only be plugged into the equation that has a domain that includes 0. The first function's domain is between -2 and -4, so 0 is not included in that domain. In the third function, the domain is between 1 and 3, so 0 is not included in that domain, either. The middle function's domain does include 0 (0 falls between -2 and 1) so we can only evaluate this function at an x value of 0.
g(0) = -0 - 1 so
g(0) = -1
Answer:
B
Step-by-step explanation:
-1
Please help help❤️help me it would mean a lot
Answer:
B. points C, F and G
Step-by-step explanation:
B. Points G C F
We know that central angles are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because . Then by the congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because .
Answer:
because they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Step-by-step explanation:
Answer:
Complete the missing parts of the paragraph proof.
Proof:
We know that central angles
✔ AOC and BOD
are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because
✔ all radii of a circle are congruent
. Then by the
✔ SAS
congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because
✔ CPCTC.
how many times do you need to add 5 to 17 to reach the product of 6 and 7
Answer:
5
Step-by-step explanation:
The product of 6 and 7 is 42.
Let x be the number of times needed to add 5 to 17 to reach 42.
17 + 5x = 42
5x = 42 - 17
5x = 25
x = 5
Answer: I’m pretty sure it’s 5
Step-by-step explanation:
Plzz help ,I’ll give so many points
Answer:
in total she would spend 27.90 so she should bring C i got this by doing 7.80 x 3 because she is buying 3 medium pizzas then i did 0.75 x 6 and got 27.90 so at least bring 25-30 dollars with her
Step-by-step explanation:
Jason walked for 0.75 hours at the rate of 3.4 miles per hour. He determines that he walked 0.255 miles. Which best refutes Jason’s solution?
Answer:
Jason likely misplaced the decimal, because 3 times 1 = 3, and if the decimal was between the 2 and the 5, the number would be near 3.
Step-by-step explanation:
Jason applied 2 and 82.242 miles
Answer:
b
Step-by-step explanation:
Approximately how many liters are in 18 quarts?
Answer:
18 liquid quarts ≈ 17 litres
Answer:
18 us liquid quart =17.034 liters
Step-by-step explanation:
1) 1 us liquid quart = 0.946 liter
2) Multiply 0.946 *18 = 17.034
Please help with answers A and B :)
What else would need to be congruent to show that ABC= A DEF by SAS?
B
E
Given:
AC DF
ZCZE
А
O A. BC = EF
O B. ZCEF
O C. ZAŁ ZD
O D. AC = DF
Answer:
A.
Step-by-step explanation:
BC ≅ EF
BC needs to be congruent to EF to show that ΔABC ≅ ΔDEF by SAS(Side -Angle-Side) Postulate.
7th grade math I needs some help
Answer:
Step-by-step explanation:
To find 5e. El change, find the difference between week 1 and 1.
56.92-(-16.54) = 56.92+16.54 = -73.46.
Note: this is negative, because we are calculating the difference.
Hope this helps
A package of 3 pairs of insulated socks costs $20.67. What is the unit price of the pairs of socks?
The unit price is $ per pair of socks.
Please quickly
Answer:
$6.89
Step-by-step explanation:
To find unit price divide the dollar by the amount. The dollar is 20.67. The amount of socks are 3. The equation would then be 20.67/3. Then solve and the answer would be $6.89.
Please help :( will mark brainliest!!
Answer:
Median = 3.5
Step-by-step explanation:
Median is the middlemost number.
Here, there are two middlemost numbers, 5 and 2
So, we'll take the mean of them to find out the median
Median = 5+2/2
Median = 7/2
Median = 3.5
Please help thank you
Answer:
D
Step-by-step explanation:
subsitute each of the x and y values for each of the equations and if they both equal each other It is correct.
Answer:
x = 2, y= -1
Step-by-step explanation:
12x - y = 25
9x + y = 17
add both equations to eliminate y
21x = 42
divide by 21
x = 42/21
x = 2
sub x in equation i to find y
12(2) - y = 25
24 - y = 25
-y = 1
therefore y = -1, x = 2
in binary system 100 + 101 = 1001. write decimal equivalent of the summand and sum.
Answer:
The summands are 4 and 5. The sum is 9.
Step-by-step explanation:
In the binary system, the digits, starting at the right and moving to the left are:
1's
2's
4's
8's
etc.
100 = 0 units + 0 2's + 1 four = 0 + 0 + 4 = 4
101 = 1 unit + 0 2's + 1 4's = 1 + 0 + 4 = 5
In decimal, the addition is:
4 + 5 = 9
The summands are 4 and 5. The sum is 9.
The decimal equivalent of the sum is 9.
It is required to write decimal equivalent of the summand and sum.
Why is binary system?Positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1.It is used for representing binary quantities which can be represented by any device that has only two operating states or possible conditions.
Given:
In the binary system, the digits, starting at the right and moving to the left.
The binary numeral system or base-2 numeral system which represents numeric values using two different symbols: typically 0 (zero) and 1 (one). The base-2 system is a positional notation with a radix of 2.
1's 2's 4's 8's etc.
[tex]100\\\\0*2^{0} +0*2^{1}+1*2^{2}\\\\=0+0+4\\\\=4[/tex]
[tex]101\\\\=1*2^{0} +0*2^{1} +1*2^{2} \\\\=1+0+4\\\\=5[/tex]
In decimal, the addition is:
4 + 5 = 9
∴The summands are 4 and 5.
Therefore, the decimal equivalent of the sum is 9.
Learn more about binary system here:
brainly.com/question/16964105
#SPJ6
The given line passes through the points (-4, -3) and (4.
1)
What is the equation, in point-slope form of the line that is
perpendicular to the given line and passes through the
point (-4, 3)?
V-3 -2(x+4)
3-
2-
+
Oy-3 =-{(x+4)
Ov-3 = {(x + 4)
-2
y-3 =2(x + 4)
-3
(-3)
9514 1404 393
Answer:
y -3 = -2(x +4)
Step-by-step explanation:
The slope of the given line is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2
The perpendicular line will have slope -1/(1/2) = -2.
__
The point-slope equation of the line with slope m through point (h, k) is ...
y -k = m(x -h)
For point (-4, 3) and slope -2, the equation is ...
y -3 = -2(x +4)
Daniel expanded the expression as shown. Negative 2 (Negative 8 x minus 4 y + three-fourths) = negative 10 x minus 8 y minus 1 and one-fourth What errors did he make? Select three options.
Answer:
16x + 8y -3/2
Step-by-step explanation:
The expression can be represented mathematically as follows.
-2(-8x - 4y + 3/4) = - 10x - 8y - 1 1/4
-2(-8x - 4y + 3/4) = - 10x - 8y - 5/4
The first way to solve this expression is by opening the bracket by multiplying the outside values by the inner values.
-2(-8x - 4y + 3/4)
Multiply -2 by all the values in the brackets
-2 × - 8x = 16x not - 10x
-2 × - 4y = 8y not -8y
-2 × 3/4 = -6/4 = - 3/2 not -5/4
Bringing the value together the expected answer will be 16x + 8y -3/2 and not - 10x - 8y - 5/4.
Answer
A, B, and C
Step-by-step explanation:
Hope this helps!
4x= 2y + 38; 2 - 3y=x
Simultaneous equation please help
Answer:
x = 59/7, y = -15/7
Step-by-step explanation:
4x= 2y + 38;
2 - 3y=x
We can substitute for x in the first equation since the second equation is solved for x
4(2-3y) = 2y+38
Distribute
8 - 12y = 2y+38
Add 12y to each side
8-12y+12y = 2y+12y+38
8 = 14y+38
Subtract 38 from each side
-30 = 14y
Divide by 14
-30/14 = y
-15/7 = y
Now solve for x
2 - 3y = x
2 - 3*-15/7 = x
2 +45/7 = x
14/7 + 45/7 = x
59/7 =x
What is the range of this function?
In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?
This question is incomplete
Complete Question
In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?
a) 2x + 3x + 9
b) 2x + 3 + 9
c) 2x + 3x + 9x
d) 2 + 3x + 9
Answer:
a) 2x + 3x + 9
Step-by-step explanation:
Let the number of points shots a player scores = x
In a free throw, the player scored 9 points = 9
The player also scored a number of 2-point shots = 2x
In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half = 3x
The expression represents the total number of points the player scored in the game =
2x + 3x + 9
The numerator of a fraction is 2 less then its denominator. If 2 is subtracted from the numerator and 1 is the added to the denominator then the fraction becomed 1/2. Find the fraction.
Answer:
Probably, 3/1.
Step-by-step explanation:
Just do the reverse of the instructions and you get your answer.
1+2=3
2-1=1
If 96 out of 200 pet owners own cats, what fraction and what percentage of
pet owners do not own cats?
Check all that apply.
A. 52%
104
IL B.
200
C. 48%
D. 0.52%
E 96 help ASAP plz
200
Answer:
A. 52% and B. 104/200
Step-by-step explanation:
To find the answer, we first have to find how many pet owners own cats. As percentages are x/100, when we have x/200 we divide the numerator and denominator by 2 to bring the fraction to 48/100. (96/200 divided by 2 equals 48/100). Now that we have the percentage of pet owners that own cats (48%), we need to find how many do not own cats. To do so, we just subtract 100-48 to get 52. Then, we do the same to the fraction of 96/200. (200-96 = 104). This brings our answers to A. 52% and B. 104/200
The percentage of owners that do not own cat is 52%
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Given here, 96 out of 200 pet owners own cats then the owners who do not own cat are 104
Therefore the number of non cat owners in percentage terms is
= (104/200) ×100
= 52.5%
Hence, the answer is 52.5%
Learn more about percentages here:
https://brainly.com/question/14979505
#SPJ2
x - 25x = alegbra question
Answer:
-24x
Step-by-step explanation:
=> x-25x
Taking x common
=> x(1-25)
=> x(-24)
=> -24x
Answer:
=−24x
Step-by-step explanation:
=x+−25x
=(x+−25x)
=−24x
x is equal to ____ degrees. Angle Y measures _____ degrees.
Answer:
x=62 and y=246
Step-by-step explanation:
x was given in the figure so x=62. and y=4x-2 so you substitute x by 62
y=4x-2
y=4*62-2
y=248-2=246