Here's the solution,
=》
[tex] {x}^{2} - 3x = - \dfrac{5}{4} [/tex]
=》
[tex] {x}^{2} - 3x + \dfrac{5}{4} = 0[/tex]
now, let's multiply the whole equation with 4
=》
[tex]4 {x}^{2} - 12x + 5 = 0[/tex]
=》
[tex]4 {x}^{2} - 10x - 2x + 5= 0[/tex]
=》
[tex]2x(2x - 5) - 1(2x - 5) = 0[/tex]
=》
[tex](2x - 1)(2x - 5) = 0[/tex]
so,
Case 1. where, 2x - 5 = 0
=》
[tex]x = \dfrac{5}{2} [/tex]
case 2. where, 2x - 1 = 0
=》
[tex]x = \dfrac{1}{2} [/tex]
What is 3÷3/4? (Btw you guys are so helpfil literally tysm
Answer:
Answer is 0.25.
Step-by-step explanation:
3/3=1
1/4=0.25
Have a nice day!
and can I maybe have brainliest? Thanks!
WOW This is my 150th answer!!!
If p and q vary inversely and p is 2 when q is 21, determine q when p is equal to 6.
Answer:
[tex]q = 7[/tex]
Step-by-step explanation:
Given
[tex]p\ \alpha\ \frac{1}{q}[/tex] --- inverse variation
[tex]p =2; q = 21[/tex]
Required
Find q when [tex]p = 6[/tex]
[tex]p\ \alpha\ \frac{1}{q}[/tex]
This becomes
[tex]p = \frac{k}{q}[/tex]
Where k is the constant of variation.
Make k the subject
[tex]k = p * q[/tex]
Substitute [tex]p =2; q = 21[/tex]
[tex]k = 2 * 21[/tex]
[tex]k =42[/tex]
When [tex]p = 6[/tex], we have:
[tex]p = \frac{k}{q}[/tex]
[tex]6 = \frac{42}{q}\\[/tex]
Make q the subject
[tex]q = \frac{42}{6}[/tex]
[tex]q = 7[/tex]
100 points if you tell me what is range
Answer:
Difference in large and small numbers, higher or smaller value.
Answer:
The range is the difference between the largest and smallest numbers. If you are talking in math.
Example 1: 1, 2, 5, 6, 7
so the smallest number is 1 and the largest number is 7 so 7-1=6
The range is 6.
Example 2: 16, 19, 10, 17, 42
now we have a data set that is not in order. First step is to order them:
10, 16, 17, 19, 42
Next take the smallest and largest number and subtract them: 42-10=32
The range is 32.
Step-by-step explanation:
Have a nice day!
and can I maybe have brainliest? Thanks!
What’s the product of four-fifths and two-and-five-twelfths?
Answer:
One and fourteen fifteenths
Step-by-step explanation
4/5 (2 15/2)
4/5 (29/12)
29/15=1 14/15
If 12 pens are packed equally into 2 boxes, how many pens will each box hold?
Answer:
6
Step-by-step explanation:
12/2=6
Hope it helps......
The label on the can of soup covers
about 354.2 square centimeters. What is the
height of the can
Radius : 4.7 cm
HELPP
Answer:
h = 12 cm
Step-by-step explanation:
Given that,
The area of the can of a soup, A = 354.2 cm²
Radius of the can, r = 4.7 cm
We need to find the height of the can. The formula for the volume of a cylinder is given by :
[tex]A=2\pi rh\\\\ 354.2=2\times 3.14\times 4.7h\\\\h=\dfrac{354.2}{2\times 3.14\times 4.7}\\\\h=12\ cm[/tex]
So, the height of the can is equal to 12 cm.
What is the total surface area of the square pyramid?
240 square meters
280 square meters
310 square meters
380 square meters
Answer:
380 I belive! :))
Step-by-step explanation:
Correct me if I'm wrong! ((:
what its 1010 + 800 pls help
Answer:
1,810 hope this helps ;)
Answer:
1810
Step-by-step explanation:
lol, did I get trolled?
the length of each side of a square is 3 in. more than the length of each side of a smaller square. the sum of the areas is 45 in^2. find the lengths of the sides of the two squares
Answer:
2025 is the answer
Step-by-step explanation:
Please help me ASAP please
Answer:
Equation: 45 - 21 = s
The second answer is 24.
You can check by adding 24 + 21 which is 45.
The triangle and square have equal perimeters. What is the perimeter of the triangle?
A. 18
B. 4
C. 12
D. 32
E. 16
F. 24
Answer:
E. 16
Step-by-step explanation:
Perimeter of the triangle = 4x+4x+(x+7)
Perimeter of square = 4(x+3)
We know that the perimeters are equal so we can form an equation to solve for x:
9x+7 = 4x + 12
Now we can subtract 4x from both sides to move the xs to the left side, and the same with the 7 so we have the variable on one side and the constant on the other:
9x+7-7-4x=12+4x-4x-7
5x = 5
Now we divide both sides by 5 to get:
5x/5 = 5/5
x = 1
Now we can use this value to figure out the perimeter of the triangle:
P = 9x + 7
x=1, substitute into equation:
P = 9(1) + 7
P = 16
Hope this helped!
What can you conclude about alternate interior angles?
Plz be specific..Will give BRAINLIEST!!!
Answer:
We can conclude that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
Please mark as brainliest.
Find the area of similar figure.XTRA POINTS!!!! PLUS BRAILIEST!!!!!!
NO LINKS OR WEBSITES!!!!! YOU WILL GET REPORTED!!!!!
Answer:
[tex]6 in^{2}[/tex]
Step-by-step explanation:
Ratio d area= ( Ratio d side length)²
[tex]\frac{a}{24}=(\frac{3}{6})^{2}[/tex]
[tex]a=\frac{24*9}{36} =6[/tex]
So your answer is 6 you are correct!!
[tex]----------------[/tex]
hope it helps...
have a great day!!
1) A bag contains six red marbles and eight blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. Both marbles are red.
Answer:
You would have 4 red marbles and 8 blue marbles since you didn't return the ones you took out to the bag.
Step-by-step explanation:
6 - 2 = 4
The 8 would stay the same
There for you would have 4 red marbles and 8 blue marbles left in the bag. Totalled you have 12 marbles in the bag and 2 out of the bag. (8 + 4 = 12)
Including the marbles in and out of the bag you have 14 marbles. The 12 inside the bag + the 2 outside of the bag = 14 marbles totalled.
Sam drew this 40° angle on his paper. What size angle should he draw to make a pair of complementary angles?
Answer:
52
Step-by-step explanation:
40(x)=52
Answer:
50°
Complentary angles are two angles that sum up to 90°
So 50+40=90
7000 litres of water is pumped out of a tank in 42 minutes. How many litres could be pumped out in one hour at the same rate?
Answer:
8600 litre×235 will be there in the tanks
A cryptography expert is deciphering a computer code. To do this, the expert needs to
minimize the product of a positive rational number and a negative rational number, given
that the positive number is exactly 7 greater than the negative number. What final
product is the expert looking for?
What’s the answer?
9514 1404 393
Answer:
-49/4
Step-by-step explanation:
The product of a positive number and a negative number will be negative. Its value will be minimized (most negative) when the magnitudes of the two numbers are the same. That is, the numbers that are 7 apart are symmetrically located about 0, so each has a magnitude of 7/2.
The product being sought is (7/2)(-7/2) = -49/4.
Answer: -49/4
Step-by-step explanation:
First set up two equations; a primary and a secondary equation.
Primary: P=xy
Secondary: x=7+y
Substitute the secondary equation into the primary equation: P=(7+y)(y), then simply: 7y+y^.
Next find the derivative of the simplified equation: 7+2y, then find the zeros: y = -7/2
Finally substitute y value into the secondary equation and solve for x:
x = 7 - 7/2
= 14/2 - 7/2
= 7/2
Multiply the two values together: -7/2 * 7/2 = -49/4
what's the answer to this question? (zearn)
Answer:
No. The den will have 8 times the volume of the bedroom.
Step-by-step explanation:
The volume of the bedroom:
9 * 5 * 7 = 315 cubic feet
The volume of the den:
(9*2) (5*2) (7*2)
18 * 10 * 14 = 2,520
2,520/315 = 8
Noah raised $54, which is 60% of his fundraising goal to support the animal shelter.
Write an equation to represent the situation.
What is Noah's fundraising goal? Show or explain how you found it.
Answer:
make shur your using fractions
54 60
x 100 cross multiply
54(100) 60(x)
5400 60x
divided both by 60
5400/60 60/60
90 1
= $90
then you go
54 60
90 100
and use a caculater to see if your answer is coorect
you just fowllow the steps to see if you get 90
Step-by-step explanation:
Which equation shows that the Pythagorean identity is true for ø = 270º?
Select the equation that is in the form sin^2ø+cos^2ø=1
Answer: (a)
Step-by-step explanation:
Given
angle is [tex]270^{\circ}[/tex]
Sine and cosine at this angle is
[tex]\Rightarrow \sin 270^{\circ}=-1\\\Rightarrow \cos 270^{\circ}=0[/tex]
Put the values in the identity [tex]\sin ^2\phi +\cos^2 \phi=1[/tex]
[tex]\Rightarrow (-1)^2+(0)^2=1[/tex]
The same thing is depicted by option (a)
The equation sin²ø + cos²ø = 1 is written as (-1)² + 0² = 1. Then the correct option is A.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The equation is given below.
sin²ø + cos²ø = 1
We know that the ø = 270°. Then we have
sin 270° = -1
cos 270° = 0
Then the equation will be
(-1)² + 0² = 1
Then the correct option is A.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ5
What is the area of the green triangle?
Answer:
The answer is 65
Step-by-step explanation:
Formula for triangle: b x h x 1/2
base= 13cm height= 10cm
13 x 10 x 1/2 =65
The area of the green triangle is 65.
Solve for x.
2 In (3x)=-4
Do not round any intermediate computations, and round your answer to nearest hundredth
Where can we use linear inequalities in real life?
Step-by-step explanation:
we can use it to solve age problems and Money problems e.t.c
Natasha was thinking of a number. Natasha doubles it and adds 6.5 to get an answer of 79.4. Form an equation with
x
from the information.
Answer:
Let the correct number be x.
therefore,
x - 6.5 = 79.4
If y=qx5 and if q=10 then what is y?
What is the factored form of x^2-x-20
Answer:
(x+4)(x-5)
Step-by-step explanation:
x²-x-20
But ax² + bx +c
product = ac = 1 × -20 = -20
sum = b = -1
Factors are: -5,4( numbers if you multiply you get -20 and sum to get -1)
Therefore:
x²-5x+4x-20
x(x-5)+4(x-5)
(x+4)(x-5)
Step-by-step explanation:
x^2-5x+4x-20
x(x-5)+4(x-5)
(x-5)(x+4)
HELP MEEEEEEEEEEEEEEEEEEEEE!
A sweater costs $25. The store marks up the price by 85%. What is the selling price of the sweater?
Solve for x.
5+3(4x - 1) = 14
Enter your answer in the box.
X=
Answer:
5+12x-3 = 14
12x = 14 -5+3
12x = 12
x = 1
Answer:
X=1. I did mental math. I am sure.
solve the expression 7x + 8, x=4
Answer:
36
Step-by-step explanation:
7x + 8
x = 4
So, 7(4) = 28
28 + 8 = 36