Answer:
see explanation
Step-by-step explanation:
(a)
To evaluate f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = 9 - 4(- 2)² = 9 - 4(4) = 9 - 16 = - 7
(b)
Similarly substitute x = - 3 and x = 3 into f(x)
f(- 3) = 9 - 4(- 3)² = 9 - 4(9) = 9 - 36 = - 27
f(3) = 9 - 4(3)² = 9 - 4(9) = 9 - 36 = - 27
(c)
let f(x) = 0 , then
9 - 4x² = 0 ( add 4x² to both sides )
9 = 4x² ( divide both sides by 4 )
[tex]\frac{9}{4}[/tex] = x² ( take the square root of both sides )
± [tex]\sqrt{\frac{9}{4} }[/tex] = x
± [tex]\frac{\sqrt{9} }{\sqrt{4} }[/tex] = x
± [tex]\frac{3}{2}[/tex] = x
That is x = - [tex]\frac{3}{2}[/tex] or x = [tex]\frac{3}{2}[/tex]
Please answer this and simplify
Btw, the a, b, c stuff is the numbers, just replace each of them with the numbers including the powers. Where there is not a power put 1
Answer:
Step-by-step explanation:
(1/2)(x+3)(2x+4)
= x^2 + 5x + 6
a=1
b=2
c=5
d=1
e=6
plz help me to solve this question....
Answer:
1
or,x+60°=180°(Being the sum of supplementry angle is equal to 180°)
or,x=180°-60°
:x=120°
2
or,y=120°(Being corresponding angle)
Please help I will give brainliest!
Answer: 50%
Step-by-step explanation:
hope this helps !
Give the next 2 terms in this sequence. 1/8 ; 2/7 ; 1/2 ; 4/5
Answer:
5/4, 2Step-by-step explanation:
Given sequence:
1/8, 2/7, 1/2, 4/5Rewrite as:
1/8, 2/7, 3/6, 4/5We observe the numerators: 1, 2, 3, 4 and denominators: 8, 7, 6, 5
The next two terms are:
5/4 and 6/3or
5/4 and 2Recreate
1/8,2/7,3/6,4/5We can see
The denominator is decreasing by 1 and numerator is increasing by 1
So next term
(4+1)/5-15/4Next term
(5+1)/4-16/32Please help me I need help for this
Answer:
the greatest common factor is 4a
find the slope of the line that passes through each pair of points J(-4 8) and K(-4, 4)
George gets paid £2,100 per month. Assuming he worked every month of the last year, how much would he earn in one year?
Answer:
In one month he earn €2,100
He worked whole year
1 year = 12 months
So,
George earning is 12 months = 12 × Earning of one month
=> 2100 × 12
=> 25200
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?
Answer:
450
Step-by-step explanation:
The total is 100 %
20% + 35% +15% = 70%
100-70 = 30
He saves 30%
1500 * 30%
1500 *.30
450
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?
S O L U T I O N :Total Income = $ 1500
According to the question,
He spends 20% to his kids education
He spends 35% for food
He spends 15% for miscellaneous
Out of total income he spends 20% on kids education
So, amount spent on kids education = 20% of $1500
Amount = 20/100 × $1500
Amount = $300
Hence, money spent on his kids education is $300
35% is spent on food
Money spent on food = 35% of $1500
Money spent = 35/100 × $1500
Money spent = $525
Hence, money spent on food is $525
15% is spent on miscellaneous
Money spent on miscellaneous = 15% of $1500
Money spent = 15/100 × $1500
Money spent = $225
Hence, money spent on miscellaneous is $225
Now, adding all the three we get
$300 + $525 + $225
$825 + $225
$1050
Total money spent = $1050
Remaining money = $1500 - $1050 = $450
Remaining amount left with him is $450An alloy is made of copper and iron by weight. 42% of it is copper and the rest is iron. If the alloy weights 55 kg, find the weight of copper and iron
Answer:
percent of iron in alloy= 100-42 = 58%
weight of the iron = 55×58÷100= 31.9
weight of iron= 31.9 kg
weight of copper= 55-31.9=23.1
weight of copper = 23.1
Step-by-step explanation:
[ I'm not sure but I think this is right ]
Answer: copper = 23.1 kg
iron = 31.9 kg
Step-by-step explanation:
copper = 42% of 55
= 42/100 * 55
= 42/20 * 11
= 21/10 * 11
= 231/10
= 23.1 kg
so iron = 100% - 42%
= 58%
so
58% of 55
= 58/100 * 55
= 58/20 * 11
=31.9 kg
x² + 4x from 5x² + x
Write the Roman Numeral CLXIV in standard form. Roman Numeral Standard Number 1 5 10 50 100 500 1,000 X L C D A) 169 B) 166 C) 164
Answer:
164
Step-by-step explanation:
in standard form CLXIV IS 164
Please can someone hell me with this!!!!!
Plzz any 1!!
Step-by-step explanation:
I hope this makes sense...and is visible..
:)
Can someone explain how to do integers since I have a test today? Also can someone please help me with the sheet too so I could understand? :)
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.
Mrs. Jim earned $40.00 for selling tacos, and she spent $9.75 for supplies. The next day, she earned $35.00 in taco sales and she spent $12.50 for supplies. How much did Mrs. Jim earn and how much did she spend?
a
She earned $15 and she spent $2.75
b
She earned $22.25 and she spent $75
c
She earned $75 and she spent $22.25
d
She earned $75 and spent $23.75
He earns 300 reward points for every 100 dollars he spends. If he earned 1,800 reward points, how much money did he spend
Answer:
$600
Step-by-step explanation:
1800/300 = 6, so he got 6 'lots' of reward points
6 * 100 = $600
Answer:
He spent $600
Step-by-step explanation:
What you do is 1800/300= 6, so 100 × 6 = $600
I need help pleeeaaasss
Which of the following means the same as 2(3x – 4) ?
5x – 8
5x – 4
6x – 8
6x – 4
none of these
Answer:
6x - 8
Step-by-step explanation:
2(3x – 4)
Distribute
2*3x - 2*4
6x - 8
Answer:
answer C
6x minus 8
use distributive property
help 100 points AND please DONT REPLY IF YOU DO NOT KNOW THE ANSWER
Thankyou!
Answer:
[tex]than k\: you[/tex]
1 7/10 divided by 7/8
Answer:
68/35
Step-by-step explanation:
Answer:
1.94285714286 (Rounded to): 1.943
f(x)=x^2-6x
g(x)= √x
Evaluate f(g(25)) = ???
Answer:
f(g(25)) = -5
Step-by-step explanation:
You have to put 25 in place of x in g, and after, you take the result and put in place of x in f:
g(5) = √25 = 5
f(5) = 5^2 -6•5
f(5) = 25 -30
f(5) = -5
yancy made a 1:14 scale model airplane. the model airplane's tail is 5.7 inches long what is the length of the actual airplane tail its modeled after? round to two decimals
Scale factor used by Nancy for the model of an airplane = 1 : 14
Length of the tail of the airplane = 5.7 inches
Scale factor is defined by the expression,
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
By substituting the dimension of the model in the expression,
[tex]\frac{1}{14}=\frac{5.7}{\text{Dimension of the original}}[/tex]
Dimension of the original plane = 14 × 5.7
= 79.80 inches
Therefore, length of the tail of the actual airplane will be 79.80 inches.
Learn more,
https://brainly.com/question/11053144
Length of Actual airplane's tail is 79.8 inches or 6.65 ft
Given:
Scale model sample = 1 : 14
Length of model airplane's tail = 5.7 inches
Find:
Length of Actual airplane's tail
Computation:
Length of Actual airplane's tail = Length of model airplane's tail × Scale model sample
Length of Actual airplane's tail = 5.7 × 14
Length of Actual airplane's tail = 79.8 inches
Length of Actual airplane's tail = 79.8 inches or 6.65 ft
Learn more:
https://brainly.com/question/18134643?referrer=searchResults
Could someone do 14,15,and 16 for me? It would really help me out. Thank you!
Answer:
Step-by-step explanation:
13) LCM of 20 , 5 is 20
Find equivalent fraction for 2/5 with denominator 20
[tex]\dfrac{2}{5}=\dfrac{2*4}{5*4}=\dfrac{8}{20}[/tex]
Now compare
[tex]\dfrac{7}{20} \ < \dfrac{8}{20}\\\\\dfrac{7}{20} \ < \dfrac{2}{5}[/tex]
14) Convert fraction to decimal
[tex]\dfrac{1}{8}= 0.125[/tex]
0.15 > 0.125
[tex]0.15 \ > \dfrac{1}{8}[/tex]
15) 0.5 , -1/7 , -0.2 ; 1/3
[tex]\dfrac{-1}{7}=-0.14\\\\\dfrac{1}{3}=0.3\\[/tex]
0.5, - 0.14 , -0.2 ; 0.3
Least to greatest:
-0.2 ; - 0.14 ; 0.3 ; 0.5
Answer:
-0.2 ; [tex]\dfrac{-1}{7} \ ; \dfrac{1}{3} \ ; \ 0.5[/tex]
help me please urgent
Answer:
3+ x • {2x} + 5 = 858
Step-by-step explanation:
<33 hoped this helped !!!
rationalise 2 divided by 2 square root 3
Answer:
[tex]\displaystyle \frac{\sqrt{3}}{3}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{2}{2\sqrt{3}} = \frac{1}{\sqrt{3}} = \boxed{\frac{\sqrt{3}}{3}}[/tex]
I am joyous to assist you at any time.
What is the product of 3x+4 and 6x^{2} −5x+7?
[tex](3x + 4)(6 {x}^{2} - 5x + 7) \\ = 18 {x}^{3} - 15 {x}^{2} + 21x + 24 {x}^{2} - 20x + 28 \\ = 18 {x}^{3} + 9 {x}^{2} + x + 28[/tex]
I hope I helped you^_^
The Value in cents of q quarters
Answer:
one quarter is 0.25c
so q=0.25c
A regular hexagon has sides of 8 + 5m. Find the perimeter and write the expression in simplified form.
Answer:
48 + 30m
Step-by-step explanation:
The perimeter of a hexagon is 6 times its side length.
6(8 + 5m)
= 48 + 30m (Distributive property)
The perimeter of a triangle is 16 squar root 7 feet if two of the sides measure 343 square root feet amd 175 square root fins the length of the third side as a redo all in simplest form
Answer:19
Step-by-step explanation:
because if it added it becomes that
Please help fast. I will give brainliest. Show work pls.
Answer:
[tex] \frac{3 {a}^{3} \sqrt[3]{ {a}^{2} } }{ {b}^{3} } [/tex]
Step-by-step explanation:
[tex] \sqrt[3]{ \frac{243 {a}^{11} }{9 {b}^{9} } } = \sqrt[3]{ \frac{27 {a}^{11} }{ {b}^{9} } } [/tex]
➡️ [tex] \sqrt[3]{ \frac{27 {a}^{11} }{ \sqrt[3]{ {b}^{9} } } } = \sqrt[3]{ \frac{ {3}^{3} • {a}^{9} • {a}^{2} }{ \sqrt[3]{ {b}^{9} } } } [/tex]
➡️ [tex] \frac{ \sqrt[3]{ {3}^{3 }} • \sqrt[3]{ {a}^{9} } • \sqrt[3]{ {a}^{2} } }{ \sqrt[3]{ {b}^{9} } } [/tex]
➡️ [tex] = \frac{3 {a}^{3} \sqrt[3]{ {a}^{2} } }{ {b}^{3} } [/tex] ✅
help me pls i don't understand the problem so can u give me the answers and also explain
Step-by-step explanation:
1)
[tex]\frac{2}{3} +\frac{4}{5} =\frac{10+12}{15}=\frac{22}{15} .[/tex]
2) the same value of the denominator of the fractions.
3) 4²*2²=16*4=64 or 4²*2²=(4*2)²=8²=64.
Megan's answer is correct.
4) if the given length is 2,25=9/4 (feet), then the length of each piece is 9/4 :3=3/4=0.75 (feet) or 3/4*12=9 (inches).
5) a. 4-6= -2; b. -4+6=2; c. -4-6= -10, so the required order is c<a<b.
6) A. -8+3= -5; B. -8*3= -24, so the greater value is (-5) - answer A.
7) if to calculate every option, then A. 2.3*6.5=14.95; B. 21.45-6.5=14.95; C. 8.32+6.63=14.95, - all of them are equal.