Given:
Prime numbers can be expressed as a sum and difference of 2 prime numbers.
To find:
The prime numbers that can be expressed as a sum and difference of 2 prime numbers.
Solution:
Prime numbers are the positive integers which are greater than 1, divisible by only 1 and itself.
Prime numbers are 2, 3, 5, 7, 11, 13, 17, 19,... .
Only 2 is the even prime number.
The sum and difference of two odd integers is always an even number. So, we need to take one even prime number and one odd prime number to add and subtract the numbers to get a prime number.
[tex]2+3=5[/tex]
[tex]7-2=5[/tex]
Therefore, 5 is the only prime number that can be expressed as a sum and difference of 2 prime numbers.
Which fraction is the largest? 7/9 3/4 1/2 2/3
Rewrite the fractions as decimals by dividing:
7/8 = 0.7777
3/4 = 0.75
1/2 = 0.5
2/3 = 0.666
0.777 is the largest number so 7/9 is the largest fraction.
Answer: 7/9
Answer:
2/3
Step-by-step explanation:
L.C.M:36
7/9:28/36
3/4:27/36
1/2:1836
2/3:36/36
2/3 ÷ 8/9 step by step explanation...
Answer: 3/4 is the answer.
Step-by-step explanation:
(2/3)/(8/9)
(doing reciprocal)
2/3 * 9/8
= 18/24
= 6/8
= 3/4
Answer:
3/4
Step-by-step explanation:
2/3 ÷ 8/9 = 2/3 ×9/8 = (2×9)/(3×8) =3/4
Which is the graph of the linear inequality x - 2y > -6?
-10-
2
108
0
o
Answer:
the fourth option
Step-by-step explanation:
1/2x - 2y > -6
1/2x + 6 > y
or
y < 1/2x + 6
so, the solution is all the y values smaller (= below) the line function.
and because it is "<" and not "<=" the line itself is not included
Find the missing side. Round to the nearest tenth.
A) 38.4
C) 33.9
B) 5.0
D) 27.6
Answer:
C)33.9. I hope it's help
PLS HELP ASAP, I give 15 pts!
Suppose an isosceles triangle ABC has A=pi/4 and b=c=3. What is the length of a^2?
A. 3^2(2 - sqr2)
B. 3^2( sqr2 - 2)
C. 3^2(2 + sqr2)
D. 3^2 sqr2
Answer:
I believe it would be A 3^2(2-sqr2)
Find the measure of the missing angle using the exterior angle sum theorm
Answer:
160=130+x
x=160-130
x=30
the quadratic function f(x) = ax² + bx + c has tge minimum point (-2,-9) ans f(-1) = -7 Find (a) values of a,b and c
i'll mark u brainliest pls,help
Hello again,
"katie deleted your answer to the question Hello,a=2, b=8, c=-1Indeed,y=f(x)=ax...
You've been warned"
Answer is a=2, b=8 and c=-1
Indeed:
y=f(x)=ax²+bx+c
Since (-2,-9) is the vertex,
y=k*(x+2)²-9
Or f(-1)=-7 ==> -7=k*(-1+2)²-9 ==> k=2
f(x)=2(x+2)²-9=2*(x²+4x+4)-9=2x²+8x+8-9
f(x)=2x²+8x-1
A proof: the picture is following.
The quadratic function fhas a vertex at (3,4) and opens upward. The quadratic function g is shown below.
g(3) 2(1 – 4)² + 3
Which statement is true?
OA
The maximum value of fis greater than the maximum value of g.
The minimum value of gis greater than the minimum value of f.
O B.
Ос.
The minimum value of fis greater than the minimum value of g.
OD
The maximum value of g is greater than the maximum value of f.
Answer:
Option (C)
Step-by-step explanation:
Equation of the quadratic function having vertex at (3, 4) and opening upwards,
So the the minimum point of the function is (3, 4).
Therefore, minimum value of the function is 4 at x = 3.
y = (x - h)² + k [Here, (h, k) is the vertex]
g(x) = 2(x - 4)² + 3
Vertex of the parabola is (4, 3).
Since, leading coefficient is positive, parabola will open upwards.
Therefore, vertex will be the minimum point.
Minimum value of the function will be 3 at x = 4.
Minimum value of the function 'f' is greater than the minimum value of the function 'g'.
Option (C) will be the answer.
Answer:
C. The minimum value of f is greater than the minimum value of g.
Step-by-step explanation:
I got a 100% on my test
Which shape has the greatest number of lines of symmetry?
A. rhombus
B. square
C. rectangle
D. parallelogram
PLEASE HELP I WILL GIVE BRAINLY
If y varies directly with x and
y = 56 when x = 8, find y if x = 4.
First, find the direct variation equation.
y = [ ? ]x
Answer:
y = 7x and y = 28
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 = 56 when x = 8 , then
56 = 8k ( divide both sides by 8 )
7 = k
y = 7x ← equation of variation
When x = 4
y = 7 × 4 = 28
(6x-5)/7-(2x-1)/3=2?
As part of the math assignment, jane makes a graph pf her cookie function. Before handling it in, she compares it to the table. Do the table and the graph represent the same function
Answer:No
Step-by-step explanation:
Evaluate: 2(6+4) - 3(5)
70
1
5
85
Answer:
[tex]2(6 + 4) - 3(5) \\ 12 + 8 - 15 \\ = 5[/tex]
Answer:
1
Step-by-step explanation:
2*6+4-3*5
12+4-15
16-15
1
Worth 11 points please help me!
Answer:
124°
I hope it's helps you
A boutique was having a 20% storewide sale.Erica bought 2 dresses which originally cost $80 each.How much savings did Erica enjoy?
Answer: $32
Step-by-step explanation:
Since the boutique was having a 20% storewide sale and Erica bought 2 dresses which originally cost $80 each, therefore the sale for each dress will be:
= $80 - (20% × $80)
= $80 - (0.2 × $80)
= $80 - $16
= $64
Therefore, on each dress Erica saves $16. The amount of savings enjoyed will then be:
= $16 × 2
= $32
solve the following simultaneous equations using SUBTITUTION METHOD
m+3n=7 and 5m-n=3
To check:put value of m and n in both equations
Answer: n=2 and m=1
Step-by-step explanation:
m+3n=7 , 5m-n=3
m=7-3n => 5(7-3n)-n=3
=> 35-15n-n=3
=> -16n=-32
=> n=2
n=2 => 5m-2=3
=> m=1
There are 90 penguins in a zoo. There are two types- Humboldt and Emperor. 52 are female, of these 6 are Emperor penguins. There are 5 male Emperor penguins. Use this information to complete the frequency tree.
Answer:
Total number of penguins = 90Female penguins = 52Male penguins = 90 - 52 = 38Female Emperor penguins = 6Female Humboldt penguins = 52 - 6 = 46Male Emperor penguins = 5Male Humboldt penguins = 33Can someone help with this problem
Step-by-step explanation:
x+35+25=180
x+60 =180
x = 120.
y+x =18
A trader bought some oranges at 5c each She finds that 6 of them are rotten. She sells the rest at 8c each and makes a profit of $4,50. How many oranges did she buy? (Hint: let the number of oranges be x. Work in cents.)
can someone please help me
Find the sum
(-4) + 2/3
Answer:
[tex]-3\frac{1}{3}[/tex]
Step-by-step explanation:
---------------------------------------
Given:
[tex](-4)+\frac{2}{3}[/tex]
--------------->>>>
Make the denominators the same.
[tex](-4*\frac{3}{3} )+\frac{2}{3}=[/tex]
--------------->>>>
Multiply inside the parenthesis.
[tex]-\frac{12}{3} +\frac{2}{3}=[/tex]
--------------->>>>
Join the denominators.
[tex]\frac{-12+2}{ 3}=[/tex]
--------------->>>>
Add the numerators.
[tex]-\frac{10}{3}[/tex]
--------------->>>>
Convert to mixed fraction.
[tex]-3\frac{1}{3}[/tex]
---------------------------------------
Hope this is helpful.
Answer:
-10/3.
Step-by-step explanation:
(-4). 2
----- + ------
1 3
we have to make the denominator same:
so.,
-4. ×. 3. -12
---- ---- = ------
1. ×. 3. 3
-12 2. -12+2
---. + ---- =. -----------
3. 3. 3
-10
=. ----
3
15 / √31 - 4
can someone just solve this for me please
PLEASE ANSWER ONLY IF YOU ARE SURE else I am out of the class
Answer:
[tex]\frac{15}{ \sqrt{31} - 4}} = \sqrt{31} + 4[/tex]
Step-by-step explanation:
[tex]\frac{15}{\sqrt{31} - 4}\\\\=\frac{15}{\sqrt{31} - 4} \times \frac{\sqrt{31} + 4}{\sqrt{31}+ 4} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ rationalizing \ the \ denominator \ ]\\\\=\frac{15( \sqrt{31} + 4 )}{(\sqrt{31})^2 - (4)^2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ (a-b)(a+b) = a^2 - b^2 \ ]\\\\=\frac{15 ( \sqrt{31} + 4)}{31 - 16}\\\\=\frac{15 (\sqrt{31} + 4)}{15}\\\\= \sqrt{31} + 4[/tex]
Solve the equation and enter the value of x below. 2 + 5(x - 9) = -18
Answer:
x=5
Step-by-step explanation:
Distributive Property[tex]2+5x-45=-18\\5x=-18+45-2\\5x=25\\x=5[/tex]
x=5
Hope this helped! Please mark brainliest :)
It’s solution in step by step explanation pls help
Answer:
6) [tex]x^2 -4x+1[/tex]
7) 26x-1y +4z
Step-by-step explanation:
long division
____[tex]x^{2}[/tex]__-4x__+1____
x-2 | [tex]x^3-6x^2+9x-2[/tex]
- [tex]x^3-2x^2[/tex]
-----------
[tex]-4x^2+9x[/tex]
[tex]-4x^2+8x[/tex]
----------------
x-2
x-2
What is the equation of the following line?
Answer:
last one
y = [tex]\frac{1}{5}[/tex]x
Step-by-step explanation:
slope = [tex]\frac{3-0}{15-0}[/tex] = [tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]
y- intercept is 0
A is the correct answer since x=15
HELP PLEASE! THIS IS MY LAST QUESTION ILL GIVE BRAINLIEST, NO LINKS. <3
Which of the following sets shows all the numbers from the set {1, 2, 3, 4} that are part of the solution to the inequality 7x + 6 > 20?
A) {1, 2, 3}
B) {2, 3, 4,}
C) {3, 4}
D) {4}
Answer: C {3, 4}
Step-by-step explanation:
Solve the inequality:
7x + 6 > 20
7x > 20 - 6
7x > 14
x > 2
Only 3 and 4 are greater than 2.
What is the volume of the figure below?
Answer:
[tex]896 \pi~m^3[/tex]
Step-by-step explanation:
[tex] V_{cylinder} = \pi r^2 h [/tex]
[tex] V_{cylinder} = \pi (8~m)^2 \times (14~m) [/tex]
[tex]V_{cylinder} = 896 \pi~m^3[/tex]
Help me please and thank you.
Answer:
[tex]0.67x-2=0.43[/tex]
Step-by-step explanation:
2/3 = 0.6 repeating
3/7 = 0.42857
if 2^a =0.5 and 5^b=125, what is the value of a^b +b^a?
9514 1404 393
Answer:
-2/3
Step-by-step explanation:
2^a = 0.5 = 2^-1 ⇒ a = -1
5^b = 125 = 5^3 ⇒ b = 3
Then the expression a^b +b^a is ...
a^b +b^a = (-1)^3 +3^(-1) = -1 +1/3 = -2/3
Someone help, I suck at math
option A.55°
Answer:
Solution given:
<x+<y=<z
exterior angle of a triangle is equal to the sum of two opposite interior angle
4n-18+n+8=133-6n
5n+6n=133+10
11n=143
n=143/11
n=13
exterior angle =133-6*13=55°
option A.55°
Is the discriminant of g positive, zero, or negative?