Answer:
4.2
Step-by-step explanation:
3 x (sqrt 2)
3 x (1.41421356237)
4.24264068712
4.2
The graph of f(x)=x2 is horizontally stretched by a factor of 2 and then shifted to the left 2 units and down 4 units. Which equation describes the function g that results?
Using shifting concepts, it is found that function g is given by:
[tex]g(x) = \frac{x^2 - 4x - 12}{4}[/tex]
--------------
Horizontally stretching a function f(x) a units is the same as finding [tex]f(\frac{x}{a})[/tex]Shifting a function f(x) a units to the left is the same as finding f(x - a).Shifting a function f(x) down a units is the same as finding f(x) - a.--------------
The parent function is:
[tex]f(x) = x^2[/tex]
--------------
Horizontally stretching by a factor of 2.
[tex]f(\frac{x}{2}) = (\frac{x}{2})^2 = \frac{x^2}{4}[/tex]
--------------
Shifting left 2 units:
[tex]f(\frac{(x-2)}{2}) = \frac{(x - 2)^2}{4} = \frac{x^2 - 4x + 4}{4}[/tex]
--------------
Shifting down 4 units:
[tex]g(x) = f(\frac{(x-2)}{2}) - 4 = \frac{x^2 - 4x + 4}{4} - 4 = \frac{x^2 - 4x + 4}{4} - \frac{16}{4} = \frac{x^2 - 4x - 12}{4}[/tex]
A similar problem is given at https://brainly.com/question/24465194
The
perimeter of
rectangle is 36 cm
If its width is 7cm Exaluate to its length
Answer:
11
Step-by-step explanation:
Write it slope intercept form:
Slope= -1 Y intercept= 8
Answer:
y = -x + 8
Step-by-step explanation:
Slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
We are given that the slope is -1 and the y-intercept is 8. We are asked to write the information in slope-intercept form. To do this, lets plug in -1 for m, the slope, and 8 for b, the y-intercept, into the equation for slope-intercept form.
y = mx + b
y = -1x + 8
y = -x + 8
So the slope intercept form would be y = -x + 8.
I hope you find my answer and explanation to be helpful. Happy studying.
Jenny & Natasha are working on a problem together: Solve x / 3 + 8 = −2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct & justify your reasoning.
Answer:
−2x3
Step-by-step explanation:
i sloved the equation then mulitipilied by 3
if (x) = x+8 and g(x) = -4x-3, find (f+ g)(x).
A. (F+ 9)(x) = 5x +11
B. (f+9)(x) = -3x+5
C. (f+ g)(x) = 3x - 5
D. (f+ 9)(x) = -5x - 11
Answer:
Answer=B
(f+g)(x)=-3x-5
Step-by-step explanation:
f(x)=x+8.
g(x)=-4x-3.
(f+g)(x) means f(x)+g(x),So
(x+8)+(-4x-3)
(add all same terms together)
=(x+(-4x))+(8+(-3))
=-3x+5
so,
(f+g)(x)=-3x+5
At 1:00 p.m., Kahlil hops in his car and drives at a constant speed of 35 mph for 12 minutes to the grocery store. After 15
minutes at the grocery store, he realizes he is late and drives at a constant speed of 40 mph to the school, arriving at 1:42 p.m.
He then spends 20 minutes at school, buying tickets for the game.
Answer:
Uh? What's the question?
In the cafeteria, 100 milk cartons were put out for breakfast. After breakfast there were 40 milk cartons left. What is the ratio of milk cartons taken to total milk cartons put out for breakfast.
Answer:
3:5
Step-by-step explanation:
There were 100 milk cartons there and someone took 100-x=40. Add 100 on both sides 40-100=-60 so 60 milk cartons were taken. So the ratio would be 60:100, which can be simplified further 30:50 15:25 3:5.
8 and 1/2 + 7 and 1/ fourth
Answer:
15 3/4
Step-by-step explanation:
8+7=15
1/2+1/4= 3/4
15+3/4
Answer:
15 3/4
Step-by-step explanation:
You need to have like denominators before you add so you need to find the LCM (least common multiple) of the two numbers. Then you have to find how much you have to multiply each number by to get the multiple. Then you just have to remember that whatever you do to the bottom you do to the top.
1. 8 1/2 + 7 1/4 This is your equation.
2. 8 2/4 + 7 1/4 The LCM of 2 and 4 is 4. You multiply by two in the bottom to get 4 so you multiply by 2 at the top. (This is talking about the first fraction).
3. 15 3/4 Then you just add as you would normally add without changing the denominators an simplifying if you need to. (You don't need to simplify for this equation).
I hope this helped you.
johanna prepares a mixture of salad mixed with mayonnaise carrots cucumber lettuce and cheese. what type of mixture divine salad is? why do you think so?
Answer:
johanna prepares a mixture of salad mixed with mayonnaise carrots cucumber lettuce and cheese. what type of mixture divine salad is? why do you think so
after sharing a pizza you and two friends divide the cost by three. You each owe $2.66. Explain how to round this to the nearest dime?
Answer:
Hi so you have the answer
Say you have 1.23 if the last digit is under 5 it would be 1.20
Now say you have 3.47 if the last digit is above 5 it would be 3.50
If it is something like 4.45 the 5 is the last digit so it would be 4.50
Step-by-step explanation:
um hope this helped :)
the difference between half of a number and 9 is 17
Answer:
4
Step-by-step explanation:
9 divided by 2 is 4.5 17 divided by 2 is 8.5 subtract the two to get 4
Answer: The difference between 26 and 9 is 17
Which of these equations is correct? Select all that apply.
(4-42=4 -
0 (224 = 26
D(6-5) -3 -6 15
(832=8
(35)-2-
1
Answer:
(35-2- is the correct answer you can believe me
Time sure passes when you're procrastinating. My math homework is due tommorow. so answer please, with solutions to how you got the answer.
Multiple Choice. Choose the letter of the best answer. Write the chosen
letter on space before each number.
____1. You can answer a quadratic equation in the form of ax²+c=0 by?
A. Isolating C. Extracting the Square Roots B. Elimination
D. Divide both by a
____2. What is the form of quadratic equation when b=0?
A. ax²+c=0 C. ax²+bx+c=0
B. ax²+b+c=0 D. ax²+bx+cx=0
____3. Which of the following is equal to x² =
100? A. 10 C. -10,-10 B.-10 D. 10,-10
____4. What are the factors of the quadratic equation x² – 6x = - 8?
A. (x + 4) (x – 2) C. (x + 4) (x + 2)
B. (x - 4) (x - 2) D. (x – 4) (x + 2)
____5. One of the roots of 2x²-5x-3=0 is -1/2 what is the other root?
A. 3 C. 5
B. -3 D. -5
___6. Which of the following is equal to x² -121= ?
A. 11 C. -11,-11
B.-11 D. 11,-11
___7. It is important that in factoring you set first the equation in_________.
A. standard form C. substituting the given C. factored form
D. all of the above
Answer:
3. [tex]x^{2}[/tex] = 100 answer: A.10
Step-by-step explanation:
10 x 10 =100
The function g(x) = –|x| is a transformation of the absolute value parent function. Which graph shows g(x)? Apex
Answer:
A
Step-by-step explanation:
Apex
A. The parent function reflect across x-axis.
What is Function ?A relation between set of inputs & set of outputs is called function. In a function, for each element of input set there is exactly one element of the set of outputs.
What is Parent function ?The simplest form of a family of functions is called the parent function. A family of functions always share same highest degree & shape.
What is Absolute value function ?If a function has an algebraic expression in absolute value symbols, then the function is called absolute value function.
How to describing the transformation ?
The parent function y = |x| always go downwards & hence the curve opened upward.
So, The parent function y = |x| reflect across x-axis.
Learn more about parent function here :
https://brainly.com/question/17079244
#SPJ2
The definition of a circle uses the undefined term _______.
arc
line
plane
ray
Answer:
I believe the answer is plane
Step-by-step explanation:
Answer:
plane
Step-by-step explanation:
What is the equation for the line?
Answer:it may be the first one but I can’t see the lines on the graph clearly.
Step-by-step explanation:
Calvin is starting a new job this summer. He has created a table to represent his earnings, which are dependent on the number of hours he works. Write an equation to represent y, Calvin’s total earnings based on x the number of hours he works. * PLEASE HELPPP!!!!!!
Answer:
I think its 232.5
Step-by-step explanation:
Divide 3 by one then multiply that by 15.
Answer:
how much does he make in a hour
Step-by-step explanation:
−|9| = −9 True or False
Answer:
false
Step-by-step explanation:
Answer:
false because the absolute value of -9 would be 9 not negativ 9
Can someone help me with this math problem 34.2 divided by 7.6
What is the domain of the following relation?
a. {-3, -1, 1, 4, 5}
b. {-5, 0, 2, 6}
c. {-3, -5, 0, 2, 4, 5, 6}
d. there is no domain
Please help with math, will give brainliest
Answer:
1; 31.2 2; 12.4 3; 30.8 4; 118.4 5; 16.53 (i ran out of time or else i wouldve finished, just use google for answers! ^_^)
done the rest, just Step-by-step explanation:
A stadium has 55,000 seats . Seats sell for $28 in Section A
The last awsner choice is 3/21 thank u pls pls I’ll give u brainliest
Answer:
question 10 answer I think is 4/147
Step-by-step explanation:
I did this
3/21 X 2/21 = 4/147
don't remember if that's the procedure but wish you luck
Monica works in a mailroom for 18 hours
each week. How many hours does she work in
52 weeks?
Answer:
936
Step-by-step explanation:
Because 18 times 52= 936
Karen scored a 76 on an exam meaning is 74 and one standard deviation of eight. Find her Z score.
Answer:
0.25
Step-by-step explanation:
(76-74)/8
=2/8
=1/4
=0.25
The most a baker can spend on strawberries is $95.00. Strawberries cost $3.99 per pound, and the produce supplier charges a $15.20 delivery fee. The following inequality, where s stands for the number of pounds of strawberries, represents this situation:
Answer:
3.99s + 15.20 = 95.00
Step-by-step explanation:
you would put 's' next to the 3.99 because that's what your multiplying or having more than 1 of, then you would add the 15.20 because it's just a one time delivery fee.
Answer:
The answer is 20
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: s≥20
Interval Notation: [20,∞)
The length and width of a rectangle is (x + 5) and x, respectively.
Which statement best describes (x + 5)?
A.
The width of the rectangle is 5 times the length.
B.
The width of the rectangle is 5 more than the length.
C.
The length of the rectangle is 5 more than the width.
D.
The length of the rectangle is 5 times the width.
Answer:
the lenght of the rectangle is five more than the width
helppp me please!!!
Answer:
18 hdhb
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
21/1 x 6/7
21 x 6 = 126
1 x 7 = 7
126 / 7 = 18
Bill is a builder.
On Monday he made mortar mix.
He used 24kg of sand and 5 kg of cement.
On Tuesday Bill will make the same type of mortar mix.
He will use 36 kg of sand.
How much cement does he need to make the same type of mortar mix?
Answer:
7.5 kg
Step-by-step explanation:
24 : 5
36 : x
x = 5 × 36 / 24
= 7.5 kg
Bill needs 7.5 kg of cement
Monday:
Sand = 24 kg
Cement = 5 kg
Tuesday:
Sand = 36 kg
Cement = x kg
Ratio of sand to cement
24 : 5 = 36 : x
24/5 = 36/x
Cross product
24 * x = 5 * 36
24x = 180
x = 180/24
x = 7.5 kg
Read more:
https://brainly.com/question/20411172
Luke ate a snack with 91 total calories. If the chips he ate were 41.2
calories, how many calories were in the rest of his snack? *
50.8
132.2
049.8
Answer:
132.2
Step-by-step explanation:
you just add the percentage of its calories