Answer:
x = 5/2 + sqrt(61)/2 or x = 5/2 - sqrt(61)/2
Step-by-step explanation:
Solve for x over the real numbers:
x^2 - 5 x - 6 = 3
Hint: | Solve the quadratic equation by completing the square.
Add 6 to both sides:
x^2 - 5 x = 9
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 25/4 to both sides:
x^2 - 5 x + 25/4 = 61/4
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 5/2)^2 = 61/4
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 5/2 = sqrt(61)/2 or x - 5/2 = -sqrt(61)/2
Hint: | Look at the first equation: Solve for x.
Add 5/2 to both sides:
x = 5/2 + sqrt(61)/2 or x - 5/2 = -sqrt(61)/2
Hint: | Look at the second equation: Solve for x.
Add 5/2 to both sides:
Answer: x = 5/2 + sqrt(61)/2 or x = 5/2 - sqrt(61)/2
write a congruence statement for the figures below . pleeasse show your work
Answer:
[tex] \triangle FDE \cong \triangle RTS[/tex]
Step-by-step explanation:
[tex] In \:\triangle FDE \:\&\:\triangle RTS[/tex]
[tex] FD \cong RT... (given) [/tex]
[tex] \angle FDE \cong \angle RTS... (given)[/tex]
[tex] DE \cong TS... (given) [/tex]
[tex] \therefore \triangle FDE \cong \triangle RTS\\(by\: SAS\: postulate)[/tex]
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
(1, 72) (2, 73)
(73 - 72)/(2 - 1)= 1/1= 1
y - 72 = x - 1
y = x + 71
You have a bid of $250 per room for 180 guest rooms. You want to comp 12 rooms for the upcoming teacher convention. What is your average room rate across the paid and free rooms? Round to the nearest dollar.
a) $234
b) $244
c) $250
d) $254
Answer:
C
Step-by-step explanation:
QUESTION IN THE PHOTO
Answer:
ans is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
box there are 10 blue marbles for every 35 red marbles what is the reduced ratio of red marbles : blue marbles
The radius of a circle is 3 yards. What is the circle's circumference?
Answer:
18.85
Step-by-step explanation:
2(3.14)(3)
The sum of 4 consecutive odd integers is 40. Find the first number algebraically.
Step-by-step explanation:
2n+1+2n+3+2n+5+2n+7
8n+16=40
8n=40-16
8n=24
n=3
HL criteria of congruence can be used only with?
Help due in 1o mins!!!
Answer:
c = 15
Step-by-step explanation:
The angles are4 a linear pair and are supplementary, so the sum of their measures is 180 deg.
7c - 7 + 6c - 8 = 180
13c - 15 = 180
13c = 195
c = 15
needhelp
select the correct answer
what are the ratios equvialnt to each other
a 1:6 and 2:9
b 2 :23 and 4:8
c 1:64 and 4:16
d 1:16 and 4:64
The number of bacteria in a certain population increases according to a continuous exponential
growth model at a rate of 8.1% per hour. There are 1800 bacteria at t = 0.
Write an equation that gives the number of bacteria after t hours.
Answer:
Step-by-step explanation:
Question 7
Laura had 23 ounces of plant food. She wants to use the same amount of plant food each day on her garden. She wants to use all the plant food she has before buying more. Which statement is true?
If she uses plant food in her garden for 6 days, she uses
1
6
ounces of plant food each day
B
2
If she uses plant food in her garden for 10 days, she uses 2
23
ounces of plant food each day
Ounces of plant food each day
С
If she uses plant food in her garden for 8 days, she uses 3
8
8
1
D
If she uses plant food in het garden for 11 days, she uses 2 11 ounces of plant food each day
Answer:
(d) and (e) are true
Step-by-step explanation:
Given
[tex]Food = 23\ oz[/tex]
See attachment for proper presentation of question
Required
Select all true statements
For any option to be true, it must satisfy the following condition.
[tex]Days * Food = 23[/tex]
Option (a):
[tex]Days = 6[/tex]
[tex]Food = 4\frac{1}{6}[/tex] per day
So, we have:
[tex]Days * Food = 6 * 4\frac{1}{6}[/tex]
[tex]Days * Food = 6 * \frac{25}{6}[/tex]
[tex]Days * Food = 25[/tex]
This is not true because: [tex]25 \ne 23[/tex]
Option (b):
[tex]Days = 10[/tex]
[tex]Food = 2\frac{2}{23}[/tex] per day
So, we have:
[tex]Days * Food = 10 * 2\frac{2}{23}[/tex]
[tex]Days * Food = 10 * \frac{48}{23}[/tex]
[tex]Days * Food = \frac{480}{23}[/tex]
[tex]Days * Food = 21[/tex] --- approximated
This is not true because: [tex]21 \ne 23[/tex]
Option (c):
[tex]Days = 8[/tex]
[tex]Food = 3\frac{1}{8}[/tex] per day
So, we have:
[tex]Days * Food = 8 * 3\frac{1}{8}[/tex]
[tex]Days * Food = 8 * \frac{25}{8}[/tex]
[tex]Days * Food = 25[/tex] --- approximated
This is not true because: [tex]25 \ne 23[/tex]
Option (d):
[tex]Days = 11[/tex]
[tex]Food = 2\frac{1}{11}[/tex] per day
So, we have:
[tex]Days * Food = 11 * 2\frac{1}{11}[/tex]
[tex]Days * Food = 11 * \frac{23}{11}[/tex]
[tex]Days * Food = 23[/tex] --- approximated
This is true because: [tex]23 = 23[/tex]
Option (e):
[tex]Days = 7[/tex]
[tex]Food = 3\frac{2}{7}[/tex] per day
So, we have:
[tex]Days * Food = 7 * 3\frac{2}{7}[/tex]
[tex]Days * Food = 7 * \frac{23}{7}[/tex]
[tex]Days * Food = 23[/tex] --- approximated
This is true because: [tex]23 = 23[/tex]
Select the most specific name for the quadrilateral shown.
O parallelogram
O rhombus
O rectangle
square
Answer:
Square
Step-by-step explanation:
square - (geometry) a plane rectangle with four equal sides and four right angles
A. Give two examples of addition of Like Fractions.
B. Give two examples of Subtraction of Like Fractions
C. Give three examples of multiplication of Fractions.
D. Give two examples of Addition of Unlike Fractions.
E. Give two examples of Division of Fractions.
IM GIVING BRAINLIEST AND 30 POINTS!!
Answer:
A: 3/5 + 2/5 = 5/5
A: 3/5 + 1/5 = 4/5
B: 3/5 - 2/5 = 1/5
B: 3/5 - 1/5 = 2/5
C: 3/5 x 2/5 = 6/25
C: 3/5 x 1/5 = 3/25
C: 2/5 x 1/5 = 2/25
D: 1/2 + 1/4 = 3/4
D: 4/5 + 4/10 = 6/5
E: 4/6 ÷ 2/6 = 2
E: 1/6 ÷ 1/6 = 1
Step-by-step explanation:
I NEED HELP WITH THIS
Answer:
its A and C and D
Step-by-step explanation:
What’s the a and b from the quadratic function
Answer: a=1 b=-4
Step-by-step explanation:
Apply the equation y= a^2+bx+c
List 3 values that would make this inequality true.
Answer: n < 2, n < 1
Step-by-step explanation:
Find all real zeros of the function y=-9x-1
A. -9
B. 1/-9
C. 1/9
D. -9 -1
Please select the best answer from the choices proided
Answer:
OPTION D
Explanation:
For zeros of the function (y is the function, a function of x) we need y = 0 so that in turn means we need - 9x - 1 = 0 or - 9x = 1 (i.e. add 1 to both sides); now divide by - 9, and x = 1/-9 which is exactly the same as - 1/9 or - (1/9) and this is the only zero of the function.
or
If y = -9x - 1,
When y = 0
0 = -9x - 1
0 + 1 = -9x - 1 + 1
1 = -9x
1/9 = -9x/9
1/9 = -x
1/[9 X (-1)] = -x/-1
- (1/9) = x
When x = 0
y = (-9 X 0) - 1
y = 0 - 1
y = - 1
5.2 × _______ = 5.2 whats the answer
Answer:
1
Step-by-step explanation:
HELP ME DO THIS PROBLEM PLEASE PLEASE
Answer:
p=1
Step-by-step explanation:
5p=p+4
5p-p=4
4p=4
p=1
5p=5×1=5
p+4=1+4=5
p+16=1+16=17
17p=17×1=17
Please help with this problem
Answer:
Step-by-step explanation:
you can think they come in pairs :
3 crates and 5 boxes = 8 (crates +boxes)
40 (crates+ boxes) are maximum to be hold so we can have 40/8 = 5 such pairs
the truck can hold
3 *5 = 15 crates and 5 *5 =25 boxes
Somebody help me please I’m giving brainliest!
Answer:
98º
Step-by-step explanation:
If a(x) = 3x + 1 and b(x)= VX-4, what is the domain of (bºa)(x)?
0 (-0,00)
0 (0.00)
O [1,00)
O [4,00)
The domain of [tex]b\,\circ \,a\,(x)[/tex] is [tex][1, +\infty)[/tex].
How to apply composition between functions
The composition of two functions consists in replacing the variable of the former function ([tex]b(x)[/tex]) by the latter function ([tex]a(x)[/tex]). If we know that [tex]b(x) = \sqrt{x-4}[/tex] and [tex]a(x) = 3\cdot x +1[/tex], then the composite function:
[tex]b\,\circ\,a \,(x) = \sqrt{(3\cdot x+1)-4}[/tex]
[tex]b\,\circ\,a\,(x) = \sqrt{3\cdot x-3}[/tex] (1)
Since the composite function is a square root function, then the domain fulfill the following inequation:
[tex]3\cdot x -3 \ge 0[/tex]
[tex]x \ge 1[/tex]
Hence, the domain of [tex]b\,\circ \,a\,(x)[/tex] is [tex][1, +\infty)[/tex]. [tex]\blacksquare[/tex]
To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/5245372
ASAP: #43. Find the area of triangle ABC given A = 42.5°, b = 13.6, c = 10.1 (Draw a triangle, give answer to nearest tenth!)
Correct answer gets marked brainliest:)
Answer:
The area of a triangle A = 46.399 square units
Step-by-step explanation:
Explanation:-
Given that ΔABC
Given ∠ A = 42.5° and sides b= 13.6 and c =10.1
The area of a triangle
[tex]A = \frac{1}{2} b c sin A[/tex]
[tex]A = \frac{1}{2} 13.6(10.1) sin 42.5[/tex]
[tex]A = \frac{1}{2} 137.36(0.67559)[/tex] (∵ sin (42.5)° = 0.67559
A = 46.399 square units
1. Find the unit rate per sandwich. Round to the
nearest hundredth if necessary: $210 for 50
sandwiches.
Answer:
$4.20
Step-by-step explanation:
You take 210 and divide it by 50 and then it equals out to $4.20. Hope this helps! <3
I really need help omgggggggg
Answer:
The 3rd one Abc is a congeuent
A comedian is planning to make his show more appealing by telling three jokes at the beginning of each show. He has been booked in a bar for the next three months. If he gives one performance a night, and he never wants to repeat the same set of jokes on any two nights, what is the minimum number of jokes he needs to prepare?
Answer:
135 jokes
Step-by-step explanation:
3 months = 90 days
90/2 = 45 days of new jokes
45 days x 3 jokes per day = 135 jokes
Let p: The kitchen is clean.
Let q: The bedroom is clean.
Which statement iS true if the kitchen is clean but the bedroom is not clean?
• If p is true, then q is true.
• Statement q if is true if and only if p is true.
• Both p and q are true.
• Statement p or q is true.
Answer:
the last one would be the answer as we know the kitchen is clean so it might be some if true
ABCD is a rectangle. If AC = 2x + 10 and BD = 56, find the value of x.
Group of answer choices
33
23
78
122
Help!
9514 1404 393
Answer:
(b) 23
Step-by-step explanation:
The diagonals of a rectangle are the same length, so ...
AC = BD
2x +10 = 56
x +5 = 28 . . . . . divide by 2
x = 23 . . . . . . . . subtract 5
PLEASE HELP I NEED THE ANSWER NOW WILL GIVE YOU BRAINLEST
Answer:
your answer is C
Step-by-step explanation:
Answer:
D. x>8
Step-by-step explanation: