Answer:
f(-2) =-32
Step-by-step explanation:
f(x) = 5x* - 3x² + 6x + 2. f(-2)
f(-2) = 5(-2) - 3([tex]-2^{2}[/tex]) + 6(-2) + 2
f(-2) = -10 - 3(4) -12 + 2
f(-2) = -10 - 12 -12 + 2
f(-2) = (-10 - 12 -12) + 2
f(-2) = (-10 -24) + 2
f(-2) = (-34) + 2
f(-2) =-32
Hope that helps!
Answer:
[tex] \boxed{f( - 2) \: is \: - 32}[/tex]
Step-by-step explanation:
f(x) = 5x - 3x² + 6x + 2
f(-2) ?
substitute -2 as x into the equation of the function
f(-2) = 5(-2) - 3(-2)² + 6(-2) + 2
Note :positive × negative = negative(-x)² = -x × (-x)negative × negative = positive[tex]f( - 2) = - 10 - 3.4 + ( - 12) + 2[/tex]
[tex] f( - 2) = - 10 - 12 + ( - 12) + 2[/tex]
[tex] f( - 2) = - 22 - 12 + 2[/tex]
[tex]f( - 2) = - 32[/tex]
Evaluate. Express your answer to the nearest tenth, if necessary.
a) 5.3 ÷ (−8.4)
b) −0.25 ÷ (−0.031)
c) −5.3 + 2.4[7.8 + (−8.3)]
d) 4.2 − 5.6 ÷ (−2.8) − 0.9
~giving brainliest!~
Suppose y varies directly with x. If y = 3 when x = 2, find y when x = 3.
A *9/2
B *2/3
C *3/2
D *2/9
Answer:
9/2
Step-by-step explanation:
Direct variation is
y = kx where k is the constant of variation
Substitute into the equation to find k
y=3 and x=2
3 = k*2
Solve for k
3/2 = k
y = 3/2 x
We know x =3
y = 3/2 * 3
y = 9/2
Answer:
A
Step-by-step explanation:
given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 3 when x = 2 , then
3 = 2x ( divide both sides by 2 )
[tex]\frac{3}{2}[/tex] = k
y = [tex]\frac{3}{2}[/tex] x ← equation of variation
When x = 3 , then
y = [tex]\frac{3}{2}[/tex] × 3 = [tex]\frac{9}{2}[/tex] → A
expressions that are equivalent to 3x+6y+3
Answer:
3(x+2y+1)
3x+6x+3
Step-by-step explanation:
Luke can paint 91 portraits in 7 weeks.
How many portraits can Luke paint in 4 weeks?
MA
portraits
As
he can paint ( 4 / 7 ) * 91 paintings in 4 weeks
4 / 7 = 0.57142857142
0.57142857142 * 91 = 52 paintings in 4 weeks
How to find the median of 30 37 8
Answer:
to find the median, divide the odd number by 2 and round it up
for even numbers, only divide by 2.
Average the numbers with the number in the next highest position.
You have a median.
In this case, the median is 30.
The median of the numbers 30, 37, and 8 is 30.
To find the median of a set of numbers, you first need to arrange the numbers in either ascending or descending order and then determine the middle value.
Given the numbers: 30, 37, 8
Arrange the numbers in ascending order:
8, 30, 37
Determine the middle value:
Since there are three numbers, the middle value is the second number, which is 30.
To know more about median here
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One fourth of what number is 5/6
Answer:
20/6 or 10/3 or 3 1/3
Step-by-step explanation:
Answer:
10/3 = 3 1/3
Step-by-step explanation:
If 5/6 is one fourth (1/4) of a number,
multiply 5/6 by 4 to find the number:
5/6 x 4 = 10/3 = 3 1/3
If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:
(a) -10.0, (b) -0.5, (c) -0.4, (d) -0.2, (e) 10.0
Answer:
Solution:
(0.2)x = 2.
Taking log on both sides
log (0.2)x = log 2.
x log (0.2) = 0.3010, [since log 2 = 0.3010].
x log (2/10) = 0.3010.
x [log 2 - log 10] = 0.3010.
x [log 2 - 1] = 0.3010,[since log 10=1].
x [0.3010 -1] = 0.3010, [since log 2 = 0.3010].
x[-0.699] = 0.3010.
x = 0.3010/-0.699.
x = -0.4306….
x = -0.4 (nearest tenth)
Answer is option (c) -0.4
The value of x to the nearest tenth is -0.4
Logarithmic expressionGiven the following expressions
(0.2)x = 2 and log 2 = 0.3010
Taking log of both sides of (0.2)x = 2
log (0.2)x = log 2.
x log (0.2) = 0.3010,
x [log 2 - log 10] = 0.3010.
Note that log2 2 = 1
x [log 2 - 1] = 0.3010
x [0.3010 -1] = 0.3010, [since log 2 = 0.3010].
x[-0.699] = 0.3010.
x = 0.3010/-0.699.
x = -0.4306
Hence the value of x to the nearest tenth is -0.4
Learn more on logarithm here: https://brainly.com/question/25710806
Answer is option (c) -0.4
(-5x2 – 43 – 1) +(-4x2 – 4x)
Answer:
−9x 2 -44-4x
Step-by-step explanation:
1 Simplifica -5{x}^{2}-43-1−5x
2
−43−1 a -5{x}^{2}-44−5x
2
−44.
-5{x}^{2}-44-4{x}^{2}-4x
−5x
2
−44−4x
2
−4x
2 Colecciona los términos semejantes.
(-5{x}^{2}-4{x}^{2})-44-4x
(−5x
2
−4x
2
)−44−4x
3 Simplifica.
-9{x}^{2}-44-4x
−9x
2
−44−4x
listo espero te halla ayudado
Carolyn swim 35 laps in 1/2 hour. How far will she swim in 4 hours? Please help.
I need help please can you explain it please
What is the value of a?
A. 42.6
B. 31.6
C. 26.6
Answer:31.6
Step-by-step explanation: i did the test
John bought new headphones originally listed for $ 80.99 . They are \(35\%)| off. Which equation can be used to find the amount John will save?
Answer:
$28.35
Step-by-step explanation:
The headphones are $80.99 and are 35% off. To find the amount he will save, change the 35% to a decimal by moving it two times to the left, which is 0.35. Multiply 80.99 and 0.35 to get 28.3465. Round to get $28.35.
factor
2ay³/-4a²b
PLS HELP ME BRAINLIEST IF CORRECT
Answer:
the answer is y³/-2ab :)
*PLEAS E HELP* *IRRELEVANT ANSWERS WILL BE REPORTED*
A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 120 feet below the surface after 40 seconds. What is the scuba diver's rate of change (include the units)?
Find slope(Rate of Change)
Answer:
3 feet per secondStep-by-step explanation:
The rate of change is:
m = the change in depth / the change in time = (120 - 30) / (40 - 10) = 90 / 30 = 3 feet/secondTake 2 points
(10,30)(40,120)Rate of change=Slope:-
[tex]\\ \rm\hookrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{120-30}{40-10}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{90}{30}[/tex]
[tex]\\ \rm\hookrightarrow m=3ft/s[/tex]
A number p has exactly 12 factors. Two of the factors are 4 and 15. Find the value of p
Answer:
p=60
Step-by-step explanation:
it is divisible by
1
60
20
3
4
15
2
30
12
5
6
10
Challenge An arts academy requires there to be 4 teachers for every 76 students and 3 tutors for
every 36 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 108 students? The academy has 10 students per teacher.
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
11.
10
10
15. 7
14. 11
For each expression, write an equivalent expression that uses only addition.
20−9+8−7
4x−7y−5z+6
-3x−8y−4−87z
Answer:
1) 28 - 16 = 12
2) 4x + 6 -7y -5z
3) -3x -8y - 4 - 87z
These were all mostly simplified already.
Hope this helps!
The circumference of a circle is 10.4mm.
Find the length of the diameter.
Give your answer rounded to 3 SF.
Answer:
diameter: 3.31 mm
Explanation:
circumference of circle → πd
using the formula:
10.4 = πd
d = 10.4/π
d = 3.31 mm
Answer:
diameter = 3.31 mm (3 sf)
Step-by-step explanation:
Diameter of a circle (d) = 2r (where r is the radius)Circumference of a circle = 2[tex]\pi[/tex]r (where r is the radius)Given:
circumference = 10.4 mm⇒ [tex]\pi[/tex]d = 10.4
⇒ d = 10.4 ÷ [tex]\pi[/tex] = 3.31 mm (3 sf)
Layla made chili for a football party. She started making the chili at 3:45 P.M. It took 40 minutes to prepare and assemble the ingredients. Then, the chili had to simmer for 45 minutes. What time was the chili ready?
Answer:
5:10 P.M
Step-by-step explanation:
3:45 P.M + 0hrs 40 min = 4:25 P.M
4:25 P.M + 0hrs 45 min = 5:10 P.M
The chili was ready at 5:10 P.M.
850 tickets were sold for a game for a total of $1,487.50. If adult tickets sold for $2.00 and children's tickets sold
for $1.50, how many of each kind of ticket were sold?
They sold_____
adult tickets and_____
children's tickets.
anyone knows the answer?
Triangle BAC and Triangle EDF are similar. What is the length of DF?
Check the picture below.
10=8x^2+2x in standard form with the steps
Answer:
8x=10
Step-by-step explanation:
hope helps
Solve the following equation:
3x = -12
a.
b.
X = 2
x = -2
No real solutions
X= 2
C.
d.
Answer:
x = -4
Step-by-step explanation:
3x=-12
Using the division property of equality, we can divide both sides by 3 to isolate x...
x=-12/3
x = -4
An 8 ft length of 4 inch wide crown molding costs $14. how much will it cost to buy 40 ft of crown molding?
Answer:
$98
Step-by-step explanation:
Hope this helps
Answer:
17.50
Step-by-step explanation:
8 times 4 = 32
32=$14
32/14= 40/x
x= 17.50
Abigail and her mom want to make matching pairs of polka-dotted pajama pants. So, they go to the craft store to pick out fabric. Abigail needs 4 feet of fabric for her pajamas, and her mom needs 6 feet of fabric. But, the store only sells fabric by the yard. If they buy 4 yards of fabric, how many feet will be leftover?
calculate without using calculate
3(-2+4)
Answer: 6
Step-by-step explanation:
Parentheses- (-2+4)= (2)
Multiply 3(2)= 6
If you roll a 6-sided die, what is
the probability that you will get a
number greater than 5?
How many 1/4
gram dosages of medication can be obtained from a container
holding 3/8
gram of the medication?
The quantity of dosages of medication that can be obtained from the container is 1.5 dosages.
Given the following data:
Mass of medication = [tex]\frac{1}{4}[/tex] grams.Mass of container = [tex]\frac{3}{8}[/tex] grams.To calculate the quantity of these dosages of medication that can be obtained from the container:
How to calculate the dosages.In this exercise, you're required to determine the amount of dosages of medication can be obtained from the container. Thus, we would divide the given mass of container by the mass of medication as follows:
[tex]Quantity = \frac{\frac{3}{8}}{\frac{1}{4}}[/tex]
Simplifying further, we have:
[tex]Quantity = \frac{3}{8} \times 4\\\\Quantity = \frac{12}{8} \\\\Quantity = \frac{3}{2}[/tex]
Quantity = 1.5 dosages.
Read more on word problems here: brainly.com/question/13170908
The quotient of two numbers is 3 their difference is 8 what are the two numbers
Answer:
x = 12, y = 4
Step-by-step explanation:
x / y = 3
x - y = 8
Or
12 / 4 = 3
12 - 3 = 8