Answer:
[tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].
Step-by-step explanation:
The given quadratic equation is
[tex]x^2=5-x[/tex]
It is can written as
[tex]x^2+x-5=0[/tex]
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
In the given quadratic equation [tex]a=1,b=1,c=-5[/tex]. So,
[tex]x=\dfrac{-1\pm \sqrt{1^2-4(1)(-5)}}{2(1)}[/tex]
[tex]x=\dfrac{-1\pm \sqrt{1+20}}{2}[/tex]
[tex]x=\dfrac{-1\pm \sqrt{21}}{2}[/tex]
[tex]x=\dfrac{-1+\sqrt{21}}{2},\dfrac{-1-\sqrt{21}}{2}[/tex]
Therefore, the values of x are [tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].
Which ordered pair is a solution of the equation y=2x+5
A. (3,11)
B. (2,7)
C. (1,6)
Answer:
A(3,11)
Step-by-step explanation:
[tex]y = 2x + 5[/tex]
[tex]2×3 = 6[/tex]
[tex]6 + 5 = 11[/tex]
Attention!
I have tons of math questions waited to be answer on my page check them out and get points!
Answer:
ok
Step-by-step explanation:
ok
Answer:
I will try but how many are there?
Step-by-step explanation:
The dimensions of a plastic container are 8 in x 6 in x 4 in. What is the volume of the container? in3
Answer:
8 x 6 x 4 = 192
Step-by-step explanation:
Volume is l x w x h
Answer:
The answer is 192 inches cubed.
Step-by-step explanation:
The formula to solve the volume of a 3-D shape is length times width times height. So you would multiply 8 times 6 times 4. Then you just add the descriptions.
Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that apply. p ∧ q, p ∨ q, p → q, q → p, p ↔ q, q ↔ p
Answer: the answer is p v q and q -> p
Step-by-step explanation:
edg 2022
Which of the following represents 1 < x <_ 6
a. [1/6]
b. (1,6]
c. (1,6)
d.[1,6)
Answer:
The correct answer is
b.(1,6]
Can someone help me on this math question?
Answer:
23°.
Step-by-step explanation:
Look closely at the spots where A and C connect. They end in the same exact place, suggesting that they are the same number of degrees.
It's a no-brainer.
What is the area of parallelogram ABCD?
А
B
4
3
2
16 square units
20 square units
24 square units
25 square units
1
-5 -4 -3 -2 -1,D1 2
3 4 5C
-2
-3
Answer:
20 square units
Step-by-step explanation:
Given,
CD is the base and BD is the height of the given parallelogram.
The attachment of the parallelogram has been attached.
base = CD
length of base CD = 5 - 1 = 4
∴ base= 4 units
height = BD
length of height BD = 5
∴ height = 5 units
Area of parallelogram = base × height
∴ Area = 4 × 5 = 20 square units
Answer:
20
Step-by-step explanation:
What is the probability of picking an orange marble and flipping tails?
Answer:
D
Step-by-step explanation:
The probability of orange marble is [tex]\frac{1}{7}[/tex]
Probability of tails is [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{2}*\frac{1}{7}=\frac{1}{14}[/tex]
Use the given figure to find the length of x.
Answer:
x = 18
Step-by-step explanation:
This problem can be solved using concept of Pythagoras theorem.
Pythagoras theorem states that in a right angled triangle, if "a" and "b" are sides containing the right angle and h is hypotenuse then the relation between them is [tex]a^2 + b^2 = h^2[/tex]
_________________________________________
Given in the problem
a = 24
b = x
h = x+12
applying Pythagoras theorem
[tex]24^2 + x^2 = (x+12)^2\\=> 576 + x^2 = x^2 + 24x + 144\\=>576 = x^2 + 24x + 144 - x^2\\=> 576 = 24x + 144 \\=> 576 - 144= 24x\\=> 432 = 24x\\=> x = 432/24 = 18[/tex]
for (x+12)^2 we have used formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
Thus, value of x is 18.
CAN PLEASE PLEASE GET HELP PLEASE I NEED IT PLEASE AND THANK YOU
Answer:
Step-by-step explanation:
the domain for (2x-1)/(x^2-7) is x not equal to +/- sqrt(7)
100 points, will give brainliest!
Suppose that in circle with center P, and a central angle, ∠OPQ, intersects minor arc OQ, where the measure of arc OQ = 82◦, and the measure of ∠OPQ is (5x – 3) ◦.
What is the value of x?
Thank you so much for helping!
Hope you are doing well
Answer:
x=17
About how much medicine is in a medicine bottle
Answer:
For measuring such small amounts of medicine, your doctor may give you a 1 cc syringe (there is that cubic centimeter thing again - remember, it is the same as a milliliter - ml).
...
measurement of medicines.
1/4 teaspoon 1.25 ml
1 teaspoon 5 ml
1-1/2 teaspoon 7.5 ml
1 tablespoon 15 ml
Step-by-step explanation:
Answer:
Depends on the medicine, some have more some have less there is no set amount
Step-by-step explanation:
Pls give brainliest i had 40 down to 1 for no reason, i will thank you for it via ur profile and comments also a thanks would be appreciated too
I hope this helps u! ;)
What addition expression is shown on the
number line?
8
+
?
15
Answer:
Your answer is seven
the correct answer is 15 + 8.
A line passes through the points (–2, –8) and (–4, –8). Which shows the graph of this line? On a coordinate plane, a vertical line is at x = negative 2. On a coordinate plane, a horizontal line is at y = negative 2. On a coordinate plane, a vertical line is at x = negative 8. On a coordinate plane, a horizontal line is at y = negative 8.
Answer:
Its D
Step-by-step explanation:
just put the answear stop putting this bs
Answer:
The Correct answer you are looking for is (D) - On a coordinate plane, a horizontal line is at y = negative 8.
Step-by-step explanation:
Hope this helped all of you!
Answer is letter (D) the bottom graph.
Lance bought a used car for $5500. He sold it two years later for $2475. What is the percent change of the price?
Answer: 55%
Step-by-step explanation:
2475/5500 = .45
He sold it for 45% of the price, so it went down by 55%
Can you help me please!!✌✌
Answer:
15 dogs
12 cats
Step-by-step explanation:
Let's call the number of cats c, and the number of dogs d.
4d=5c
c+d=27
4c+4d=108
4c+5c=108
9c=108
c=12
d=27-12=15
Hope this helps!
Answer:
15 dogs and 12 cats
Step-by-step explanation:
You can draw out 27 lines or dots or smth. Then cross off 4. and then keep going. But for every four you cross off, underline or highlight 5. The four represent the cats and the 5 represent the dogs. By the end you should get 15 dogs and 12 cats. Another way you can do this is by mulitplying both the numbers by the same number until they equal 27.
4:5 (*3)
12:15
A shirt that originally cost $38.00 is on sale for 30% off. What is the sale price of the shirt?
1.
$11.40
2.
$26.60
3.
$29.23
$49.40 this is due today pls help.
_________________________________
Solution,
Marked price (MP)=$ 38.00
Discount%=30%
Sale price (SP)=?
Now,
Discount amount= discount% of MP
=30%of 38
=$ 11.4
Again,
Sale price(SP)=MP-Discount
= 38-11.4
=$26.60
The right answer is $ 26.60
Hope it helps...
Good luck on your assignment
_______________________________
Answer:
$26.60Step-by-step explanation:
[tex]orginal \: \: \: \: price = 38.00[/tex]
[tex]discount \\ percentage= 30\%[/tex]
First we have to find the discount.
[tex]discount = 38 .00\times \frac{30}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 11.40[/tex]
Now let's find the sales price of the shirt.
[tex]sales \: \: \: price \\ =original \: \: \: \: price - \: discount \\ = 38.00 - 11.40 \\ = 26.6 0\\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the area of parallelogram ABCD?
7
А
6
B
5
13 square units
0 14 square units
15 squtare units
16 square units
4
3
2.
D
1
С
1
2
3
4
5
6
7
x
Answer:
13 square units
Step-by-step explanation:
The area of the parallelogram is 13 square units
The area of a parallelogram is the product of the height and the base of the parallelogram
Assume the parallelogram has the following properties
Base = 6.5 units
Height = 2 units
The area of the parallelogram is calculated as:
Area = Base * Height
So, we have:
Area = 6.5 units * 2 units
Area = 13 square units
Hence, the area of the parallelogram is 13 square units
Read more about areas at:
https://brainly.com/question/24487155
Find the domain and range of the relation. {(−7,−18),(−23,21),(4,13),(−17,22),(2,−10)}
Answer: Domain = all x values and Range = all y values
Step-by-step explanation:
The domain of a function is all the allowed x values that make the function true. Luckily you were already given the domain. Its all the x values.
The range of a function is pretty much all the allowed y values of a function. Or, what y values the function can be equal to. So that's just all the y values
When listing the domain and range, you generally want to do it from least to greatest and you do not want to repeat any values
Answer:
D:{ -23,-17,-7,2,4}
R:{-18,-10,13,21,22}
Step-by-step explanation:
The domain is the input
D:{ -7,-23,4,-17,2}
We normally put them in numerical order
D:{ -23,-17,-7,2,4}
The range is the output
R:{-18,21,13,22,-10}
We normally put them in numerical order
R:{-18,-10,13,21,22}
PLEASE HELP ASAP IM BEHIND RIP
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.
The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?
Answer:
If we have following equation right, then the angle between shorter sides is right angle:
13² = 12² + 5²169 = 144 + 25169 = 169Confirmed
Now we can start,
Assume that if the angle between shorter sides is right angle, then the equation should be equal in both sides.
Let's begin the equation,
→ 13² = 12² + 5²
→ 169 = 144 + 25
→ 169 = 169
→ LHS = RHS
Hence, the statement is proved.
if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 5 hours a day.
Answer:
7 days
Step-by-step explanation:
What is the area of a circle that has a radius of 16.25? USE 3.14 FOR PI!!!!
DO NOT ROUND.
Answer:
730.61664
Step-by-step explanation:
area equals πr2=π·15.252≈730.61664
Answer:
829.15625 units squared
Step-by-step explanation:
The formula for area is A= 3.14 * (r^2). 16.25^2 is 264.0625. 3.14 * 264.0625 is 829.15625.
Select all true statements
Answer:
f(x) has a larger growth rate
f(x) is always greater than g(x)
Step-by-step explanation:
f(x) = 2/5 x
g(x) = -2x
the slope of f(x) when graphed is 2/5 x, which is a positive value making it a larger growth rate than g(x) and it also will always be greater since the value of f(x) is positive
therefore the correct true statements are:
f(x) has a larger growth rate, and f(x) is always greater than g(x)
options 1 and 3
Step-by-step explanation:
option 1 is correct because f (x) is positive hence making it greater than g(x) which is negative.
Lachlan invested $4300 over 5 years at 4.6% p.a., compounded every 6 months. Find the total value of his investment.
Answer:
[tex]\fbox{\begin{minipage}{13em}approximately 5397.9 dollar\end{minipage}}[/tex]
Step-by-step explanation:
Given:
Lachlan invested $4300 over 5 years at 4.6% p.a., compounded every 6 months.
Solve for:
Total value of his investment.
Step 1: Define the formula to calculate the total value of Lachlan's investment
Total value = Principal x (1 + rate/2)^(Year x 2)
(the rate is divided by 2 and the year is multiplied by 2 because this is compounded semi-annual, not compounded annual)
Step 2: Perform the calculation:
With Principal = 4300$, Rate = 4.6% =4.6/100 = 0.046, Year = 5
=> Total value = 4300 x (1 + 0.046/2)^(5 x 2) ≈ 5397.9$
Hope this helps!
:)
How many degrees does the protractor show for the given angle
A. 35
B. 175
C. 175
D. 15
Please help with this I need help with it
Answer: 15 degrees
Step-by-step explanation:
180 degrees - 165 degrees = 15 degrees
Please help ASAP Very easy !!!!
Answer:
Brainleist is to be given to me!
Step-by-step explanation:
-2/3
its between -1 and 0 but is closer to -1
the only choises are -1/3 and -2/3 but its closer to -1 so it must be -2/3
If BCDE is congruent to OPQR then BE is congruent to _____
Answer:
If BCDE is congruent to OPQR then BE is congruent to RO
Is (–6, 6) a solution to the equation y = –x?
Answer:
yes
Step-by-step explanation:
y = –x
Substitute the point into the equation
6 = - (-6)
6 = 6
This is true so the point is a solution to the equation
6 gallons of paint was
purchased to paint
some small rooms. If
each room needs 3/4
of a gollon, how many
room can be painted?
Answer:
1
Step-by-step explanation:
because if 1 room is a 3/4 which is almost there but not quite, and 3+3 is 6.. 3/4 + 3/4 is bigger then 6
Answer:
5 rooms can be painted
Step-by-step explanation: we can't paint six rooms because there would be no such thing a 0.2 of a room
Please answer need help