5.
Use the quadratic function to predict f(x) if x equals 2.
f(x) = −3x^2 + 180x − 285
A. f(2) = 111
B. f(2) = 63
C. f(2) = 87
D. f(2) = 125
Answer:
B. f(2) = 63
Step-by-step explanation:
f (x) = -3x2 + 180x - 285
For this case, the first thing to do is replace the value of x = 2 in the given function to know the result.
We have to replace:
f (2) = -3 * (2) ^ 2 + 180 * (2) - 285
f (2) = 63
Answer:
the value of pa for x = 2 is:
f (2) = 63
Jerome hikes down a mountain for 3 hours. During this time, he hikes a total distance of 2 ½ miles. How long does it take Jerome to walk 1 mile?
Answer:
5/6
Step-by-step explanation:
3 hours= 2 1/2 miles
1 hour= 2 1/2 divided by 3
It would take him 5/6 of an hour
Hop this helps!
The show gave a 10% discount for students. The full ticket price is $30. How much was the students price?
Answer:
$27
Step-by-step explanation:
You can get the equation 30 - 30 * 1/10 = x, and x is what we are looking for. Simplifying gives 30 - 3, so x is 27. So, the answer is $27.
Answer:
$3
Step-by-step explanation: 10%= 0.10 divide that by 30, 30 ÷ 0.10 = 3
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality
on a number line.
Answer:
whats your equation?
Step-by-step explanation:
Ill edit my answer after.
Answer:
Step-by-step explanation: Sorry if im late
I need help on 26 please and thank you
Answer:
your answer is 1.65 or E :)
Need help fast i have a test tomorrow and i need to get ready
Question there asking:examine (a), (b), and (c) and select the best answer.
(a) 1 / 5 of 30 (b) 1 / 4 of 20 (c) 1 / 3 of 15
Answer:
a) 6
b) 5
c) 5
Step-by-step explanation:
In this context, "of" means "times."
a) 1/5 of 30 = 1/5×30 = 30/5 = 6
b) 1/4 of 20 = 1/4×20 = 20/4 = 5
c) 1/3 of 15 = 1/3×15 = 15/3 = 5
Find HGI, FGH and FGI I’ll mark the brainiest
Answer:
∠FGH = ∠HGI = 29°
∠FGI = 58°
Step-by-step explanation:
GH is marked as an angle bisector, so we have ...
∠FGH = ∠HGI
2x -9 = 3x -28
19 = x . . . . . . . . . . . . add 28-2x to both sides
Of course, the angle FGH is the sum of its parts. Then the angle measures are ...
(2x -9)° = (2·19 -9)° = 29°
∠FGH = ∠HGI = 29°
∠FGI = 58°
Are the ratios 17:10 and 2:1 equivalent?
Answer:
No, they don't have the same valueStep-by-step explanation:
Are the ratios 17:10 and 2:1 equivalent?
17 : 10 = 1.7
2:1 = 2
Rose spent 124 on 10 cars & 4 cats what is the cost for 1 car & 1 cat.
Answer:
$6 per cat, $10 per car
Step-by-step explanation:
I guess and checked my work.
A group of 169 students needs to be seated in a square formation for a
yearbook photo. Solve the equation N² = 1,024 to find how many students
should be in each row. ASAP
We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-
[tex]r = \sqrt{169} = 13[/tex]
Then, a square of 13 rows and 13 columns will fit the 169 students.
If the number of students is 1024, then the number of rows N can be calculated as :-
[tex] {N}^{2} = 1024[/tex]
[tex]N = \sqrt{1024} [/tex]
[tex]N = 32[/tex]
Final Answer :-169 students will seat in a 13×13 formation.
1024 students will seat in a 32×32 formation (N=32)
-------------------★-------------------
a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 17. find the value of a.
Since we have an even amount of numbers here, the median is going to be the average of the two middle values, in this case:
(2a-1+a+7)/2 = 17
(3a +6)/2 = 17
3a + 6 = 34
3a = 28
a = 9[tex]\frac{1}{3}[/tex]
There are two numbers the second number is 1 larger than twice the first number. The sum of the reciprocals of the number is 7/10. Find the two numbers.
Let the first no be x
second no=2x+1ATQ
[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]
[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]
On solving we get
[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]
Take it 2First no=2
Second no=5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.
Let the two numbers be 'x' and 'y'. Then the equations are given as,
y = 2x + 1 ...1
1/x + 1/y = 7/10 ...2
From equations 1 and 2, then we have
1/x + 1/(2x + 1) = 7/10
10(2x + 1 + x) = 7x(2x + 1)
30x + 10 = 14x² + 7x
14x² - 23x - 10 = 0
14x² - 28x + 5x - 10 = 0
14x(x - 2) + 5(x - 2) = 0
(14x + 5)(x - 2) = 0
x = 2, - 5/14
At x = 2, then the value of y is given as,
y = 2 (2) + 1
y = 5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
More about the solution of the equation link is given below.
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In 1993, the moose population in a park was measured to be 4650. By 1998, the population was measured
again to be 4100. If the population continues to change linearly:
A.) Find a formula for the moose population, P, in terms of t, the years since 1990.
P(t) =
B.) What does your model predict the moose population to be in 2006?
Answer:
Here plz give brainliest not easy to explain in detail like this
Step-by-step explanation:
We will consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.
We have two points on the graph: (4, 4290) and (8, 3850)
Using the slope formula (m = [y2 - y1]/[x2 - x1]), we can find the slope of this line:
m = (y2 - y1)/(x2 - x1) Slope formula
m = (3850 - 4290)/(8 - 4) Substitution
m = -440/4 Solve the subtraction problems in the parenthesis
m = -110 Reduce the fraction
Now that we have the slope of the line, we can use the point-slope formula (y - y1 = m[x - x1]) to find the equation for the line. I will use the first point, but either point will produce the same answer.
y - y1 = m(x - x1) Point-slop e formula
y - 4290 = -110(x - 4) Substitution
y - 4290 = -110x + 440 Distribute the -110
y - 4290 + 4290 = -110x + 440 + 4290 Add 4290 to each side
y = -110x + 4730 Simplify
Since the formula that is being sought is supposed to be interms of P and t, I will replace y with P and x with t.
P(t) = -110t + 4730
To predict the population in 2006, we need to determine the years from 1990 to 2006.
2006 - 1990 = 16
P(16) = -110 (16) + 4730
P(16) = -1760 + 4730
P(16) = 2970
can someone help???
Answer:
dilation by a factor of 1/3 about the origin
Step-by-step explanation:
Triangle B has 1/3 the dimensions of triangle A, and it is 1/3 as far from the origin. The transformation of interest is ...
dilation by a factor of 1/3 about the origin
Plzzz help meeee plzzzzzz
Answer:
a) $560
b) 80%
c) $1134
Step-by-step explanation:
a)The profit is the difference between selling price and cost price:
profit = $1260 -700 = $560
__
b)As a fraction of the cost price, the profit is ...
$560/$700 × 100% = 80% . . . . of the cost price
__
c)A 10% discount from the selling price makes it ...
$1260 × (1 -10%) = 0.90×$1260 = $1134
A student will pay $1134 for a calculator.
(I’m having trouble with this question, it would be greatly appreciated if I could have some help, thank you)
What is the equation of a line that is parallel to – 2x + 3y = -6 and passes through the point (-2, 0)?
Answer:
y = 2/3x + 4/3
Step-by-step explanation:
you need to know the slope of the line -2x + 3y = -6 because parallel lines have the same slopes
let's put the equation in y=mx+b format (slope-intercept format)
-2x + 3y = -6
add 2x to each side to get:
3y = 2x - 6
divide each side by 3 to get:
y = 2/3x - 2
the equation now shows us the slope is 2/3 and the y-intercept is (0,-2)
now we use y=mx+b again and use the point (-2,0) and the m=2/3 to get the y-intercept ('b' value) of the equation that is parallel:
0 = 2/3(-2) + b
0 = -4/3 + b
b = 4/3
equation would be:
y = 2/3x + 4/3
Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
B)How fast is the area of the triangle changing 2 minutes later?
Answer: 5 in
Step-by-step explanation: Consider a right triangle which is changing shape in the following way. The horizontal leg is increasing at the rate of 5 in.
Mrs. Johnson weighs her suitcases ready for her holidays. It weighs 7.3kg. She takes out shoes that weigh 2.6kg. how heavy is her suitcase now
Answer:
4.7kg
Step-by-step explanation:
since when ready it is 7.3
subtract
7.3_2.6
Therefore the answer is4.7kg
In a survey of 2,600 people who owned a certain type of car, 1,820 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
70%
Step-by-step explanation:
is/of =x/100
Find the least common multiple of each set of numbers . 4, 10
4, 8, 12, 20
10, 20
The least common multiple of 4 and 10
I hoped this helped. :)
A bag contains 12 red marbles. The ratio of red marbles to blue marbles is 4 : 3. Find the number of blue marbles in the bag.
Answer:
9
Step-by-step explanation:
→ Divide the number of red marbles by the ratio of red marbles
12 ÷ 4 = 3
→ Multiply 3 by the ratio of 3
9
ANSWER ASAP PLEASE!!!!!
What is the domain of the square root function graphed below?
A. x is less than or equal to -1
B. x is greater than or equal to -1
C. x is less than or equal to 0
D. x is greater than or equal to 0
Answer:
Step-by-step explanation:
A. If you need proof message me.
Answer:
D
Step-by-step explanation:
its correct
A 12 foot fence on the property line casts a 25 foot shadow on the shortest day of the year, and the north side of the house is set back 60 feet from the property line.
Using similar triangles formed by the fence, and the house, the top of which the property line passes, the height of the house can be determined.
The height of the house is 28.8 feet.Reasons:
The given parameters are;
Height of the fence = 12 foot
Length of the shadow cast by the fence = 25 foot
Distance of the house from the property line = 60 feet
The maximum allowable height for the house.
Solution:
Using similar triangles, we have;
[tex]\displaystyle \frac{Height \ of \, fence}{Length \ of \ fence \ shadow} = \mathbf{\frac{Height \ of \, house}{Distance \ of \ house\ from \ property \ line}}[/tex]
Which gives;
[tex]\displaystyle \frac{12}{25} = \mathbf{\frac{Height \ of \, house}{60}}[/tex]
[tex]\displaystyle Height \ of \ house = \frac{12}{25} \times 60 = 28.8[/tex]
The height of the house = 28.8 feet
Learn more here:
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Please find attached the drawing of the question created with MS Visio, obtained from a similar question online.
cody spent 3 hours and 5 minutes looking for his missing cat if he finally found it at 7:35 what time was it when he originally started
Answer:
4:30
Explanation:
Three hours before 7:35 is 4:35, but you also have to subtract the extra 5 minutes to make it 4:30
A guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500. The counselor converts the frequency table to a conditional relative frequency table by column. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0. 12, 0. 88, 1. 0. The third column is labeled lower than 90 with entries 0. 28, 0. 72, 1. 0. The fourth column is labeled total with entries X, Y, 1. 0. What is the value of X? 0. 16 0. 20 0. 24 0. 40.
Answer:
it's 0.24 because if you do 500/120 in the first data table it gives u 0.24 and bc I just took the test
The frequency table is used to find the relative frequency. The value of x is 0.24. Option C is correct.
How to find the relative frequency?Relative frequency is the ratio of the considered sub-group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
The given data from the table as follows;
The subgroup count of the column = 120
The total count = 500
Let x be the relative frequency
The relative frequency is found as;
[tex]x = \dfrac{120}{500} \\\\x = 0.24[/tex]
Therefore, the value of x is 0.24. So, Option C is correct.
To learn more about the frequency table;
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i need answers thank you
If I have 4 magazines, and each magazines has 13 bullets, And there are 30 people in class and you need 4 bullets for each person. How many people get 4 bullets.
Answer:
13Step-by-step explanation:
4 magazines, and each magazines has 13 bullets:
4*13 = 52 bullets4 bullets for each person:
52/4 = 13 peopleIf line L is parallel to line M, solve for x and y
Answer:
x = 18, y = 5
Step-by-step explanation:
Because lines L and M are parallel, the corresponding angles 7x - 23 and 49 + 3x are equal. Thus, 7x - 23 = 49 + 3x, or -72 = 2x. Thus,
4x = 72 and x = 18.
Check: Is 7x - 23 = 49 + 3x true when x = 18?
7(18) - 23 = 49 + 3(18)?
103 = 103? yes
Also: If we concentrate on the triangle in the middle of the picture:
49 + (180 - 7x + 23) + (11y - 1) = 180 (sum of the interior angles of a triangle)
Then: 49 + 180 + 23 - 7x + 11y - 1 = 180. But x = 18, so we have:
125 + 11y = 180, or 11y = 55, and so y = 5
9x^2-(3x+1)(4x-5)+1+6x=0
Answer:
x = -1/3 or x = 6
Step-by-step explanation:
For this equation, you should use the FOIL method or the BOX method. Break it apart to solve it easier. Sites like mathpapa or symbolab can help break these down for you.
HELP PLEASE AHH I WILL GIVE BRAINLIEST
Answer:
140 Minutes
Step-by-step explanation:
Y = 0.125x ---> Corinne every 1 minute
Y = 3.5 + .1x ----> Aretha
0.125x = 3.5 + .1x
-.1x - .1x
0.025x = 3.5
0.025x/.025 = 3.5/.025
x = 140 minutes