Step-by-step explanation:
[tex] {2x}^{2} + 8x - 1 = 0 \\ {x}^{2} + 4x - \frac{1}{2} = 0 \\ {x}^{2} + 4x + {( \frac{1}{4} )}^{2} - \frac{1}{2} - { (\frac{1}{4} )}^{2} = 0 \\ {(x + \frac{1}{4}) }^{2} - \frac{9}{16} = 0 \\ {(x + \frac{1}{4}) }^{2} = \frac{9}{16} \\ x + \frac{1}{4} = ±( \frac{ 3}{4} ) \\ x = \frac{1}{2} \: or \: - 1[/tex]
Answer:
Step-by-step explanation:
divide each term by 2 to begin with x²
x² + 4x - 1/2 = 0
now add 1 to each side
x² + 4x = 1/2
now divide 4 in half and square the result and add it to each side
x² + 4x + 4 = 1/2 + 4
(x + 2)² = 9/2
ANYONE PLS HELP ASAP!!!
Find the area and round it to the nearest hundredth if necessary
Answer:
16.28 squared inches
Step-by-step explanation:
Use the formula A = bh.
b = base
h = height
A = (4.4) (3.7)
A = 16.28
Simplify √14q times 2√4q
Answer:
[tex]4\sqrt{14} q^{2}[/tex]
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
I need help with question number 4
Answer: x = -3
Step-by-step explanation:
Find the area of figure 2.
25 units2
10 units2
16.5 units2
7.5 units2
Answer:
7.5 units2
[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 3 \times 5 \\ = 7.5 \: sq \: units[/tex]
Please help me with this question
Answer:
x = 11
Step-by-step explanation:
Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:
PQ / PT = QR / TU = PR / PU
We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:
PQ / PT = PR / PU
Now, we can substitute the values given by the diagram:
70 / 30 = 49 / (x + 10)
We can cross multiply,
70(x + 10) = 30 * 49
And divide by 70 on both sides(too lazy to multiply :P)
x + 10 = 3 * 7
x + 10 = 21
x = 11
find the value of x. round to the nearest tenth
Answer:
using Pythagoras theorem x=32.7
Answer:
21.7
Step-by-step explanation:
In order to solve this problem, we can use trig functions. We are given the side adjacent to the 37° given and we are looking for the hypotenuse. This means that cosine function is the most suitable. Cosine is written as:
cos(θ°) = adjacent / hypotenuse
We can substitute the values we have:
cos(37°) = 17.3 / x
And rewrite the expression:
x = 17.3 / cos(37°)
Then, use a calculator to evaluate:
x = 21.66194689
This can be rounded to 21.7
find the rate of change
Answer:
adds 4 each time
Step-by-step explanation:
for one week 2 car dealerships keep track of the number of cars they sell each day
Answer:
Dealership A
Step-by-step explanation:
Dealership A: 0 + 4 + 4 + 6 + 6 + 7 + 8 / 7 = 5 mean sales
Dealership B: 1 + 2 + 2 + 4 + 5 + 7 + 7 / 7 = 4 mean sales
A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.
What is the surface area of the figure? Express the answer in terms of π.
96 + 64π cm2
96 + 80π cm2
96 + 112π cm2
96 + 128π cm2
Answer:
A
Step-by-step explanation:
bag of candy contains 4 strawberry
flavored gumdrops, and 5 orange
flavored gumdrops. If Billy reaches in,
takes one out and eats it, and then 20
minutes later selects another and eats
that one as well, what is the probability
that they were both orange flavored
gumdrops? Leave answer as a fraction in simplest form.
There are 9 candies in total, with 5 being orange. Think of it. For the first grab, you have a 5/9 chance of it being orange flavored. Now there are 4 orange flavored candies, and 8 total candies in the bag. Grabbing a second candy, Billy has a 4/8 chance of grabbing an orange flavored candy. So your two fractions are...
5/9, 4/8
Can you combine these two fractions for a final answer?
If a rectangle is 30 feet long and the perimeter is 78 feet. What would be the width of the rectangle?
Answer:
The width should be 9 feet in this situation
Step-by-step explanation:
(30 x 2) + (9 x 2) =
60 + 18 =
78 ft
Or
78 - (30 X 2) =
78 - 60 =
18 / 2 =
9
Show the given equation in a graph
x + y = 5
Answer:
you us the equation given and plot points in the graph that are given with the equation.
What is the domain of the function y = l n (x + 2)
A. x < -2
B. x > -2
C. x < 2
D. x > 2
Answer:
Option B.
Step-by-step explanation:
For a function f(x), the domain is the set of all the possible values of x that can be used in the function.
We know that the natural logarithm is only defined for positive real numbers.
So, the function:
Ln(x + 2)
Works always that
x + 2 > 0
So we can just solve this inequality for x, and that will give us the domain of the function.
To isolate x, we just need to subtract 2 in both sides of the inequality.
x + 2 - 2 > 0 - 2
x > - 2
This is the domain of the function.
The correct option is B.
Answer:
b.x>-2
Step-by-step explanation:
edge 2021
How many 1/4 pound packages of cheese can the deli make with 12 pounds of cheese
Answer:
48 1/4 packages
Step-by-step explanation:
Help please ;3; ksajnwns
Answer:
yes
no
yes
yes
Step-by-step explanation:
replace every number on y
and check whether it works or not.
A baby weighs 6.4 pounds at birth. At the end of ten months the baby has grown 2 1/2 times its birth weight. How many pounds did the baby weigh at the end of ten months?
Answer:
The answer would be 16.
Step-by-step explanation:
Its easy multiplication. I hope this helps you!
Answer:
16 pounds (i belive)
Step-by-step explanation:
6.4 lbs × 2 1/2 = 16 lbs
plzzzzzzzzzzzzz help meeeeeeeee
Answer:
D. 1,000
Step-by-step explanation:
A flower box is 3 ft. Long, 2 3/4 ft. Wide, and 1/2 ft. Deep. How many cubic feet of dirt can it hold? A. 4 1/8 B. 5 3/4 C. 6 1/2 D. 6 3/8
Answer:
The box can hold 4 1/8 cubic feet of dirt
Step-by-step explanation:
What we simply have to find here is the volume of dirt it can take
To get this, we have to multiply the dimensions of the box
We have this as follows
Volume or box = length * width * height
Volume of box = 2 3/4 * 1/2 * 3
Volume of box = 11/4 * 3 * 1/2 = 33/8 = 4 1/8 cubic feet
Help help help help help
Answer:
OPTION A
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
2(x - 9.46)(x + 2.54)
Step-by-step explanation:
2(x² - 12x + 24)
since there are no factors that multiply to 24 and add to -12 then i used the quadratic formula to get:
6+2[tex]\sqrt{3}[/tex], 6-2[tex]\sqrt{3}[/tex]
hey! please help i’ll give brainliest
Answer:
Your answer would be C: occurred during the same period of time
Step-by-step explanation:
How many solutions does the equation
-2(x + 3) = 2x - (5 – x) have?
Step-by-step explanation:
-2(x + 3) = 2x - (5 – x)
-2x+6= 2x-5+x
-2x+6=3x-5
-2x-3x=-5-6
-5x=-11
x= 11/5
( 1 solution)
Answer:
Solution given:
-2(x + 3) = 2x - (5 – x)
-2x-6=2x-5+x
-6+5=2x+2x+x
5x=-1
x=[tex] \frac{-1}{5} [/tex]
It has one Solution.
Find the value of a by using law of sines.
Apparantly this Math problem is impossible? Ive posted it like 10 times and yet nobody has answered
Answer:
Step-by-step explanation:
r=5 ×90/100=4.5 in
h=6×90/100=5.4 in
a.
volume of original cylinder=π×5²×6=150 π≈471.24 in³
b.
volume of new cylinder=π×4.5²×5.4=109.35 π in³≈343.53 in ³
c.
decrease in volume=150 π-109.35 π=40.65π
% decrease=(40.65 π)/150 π×100=4065/150=1355/50=27.1 %
Find the volume of a cone with a height of 9 in the base of 6 in used pie and do not round your answer
Answer:
84.823 in.³
Step-by-step explanation:
V = πr²[tex]\frac{h}{3}[/tex]
84.823 in.³
What is 3n at n = 11
Answer:
33
Step-by-step explanation:
3n but n is 11 means 3x11
Answer:
3n = 33 when n = 11
Step-by-step explanation:
n = 11
therefore
3(11)
which means 3 times 11
Answer = 33
Hope this helps!
Why can't we factor x^2+25?
Answer:
Explanation: Notice that if x is Real then x2≥0 , so x2+25 has no linear factors with Real coefficients
Function “p” is in the form y=ax^2 + C. If the values of “a” and “c” are both less than 0, which graph could represent “p”?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
B
Step-by-step explanation:
Since the value of a is less than 0, the graph of the parabola would be opening downwards. Because of this we can rule out option C. In a quadratic equation, c represents the y-intercept, and, in this case c is negative, meaning the y-intercept is less than 0. Only option B has a downward-opening curve and a y-intercept less than 0, so it is the answer.
Answer:
B. Graph B
--------------------
hope it helps...
have a great day!!!
I didn’t understand so I need a help
Answer:
y is 107° and z is 36°
Step-by-step explanation:
73° and y are supplementary angles so they add up to 180°
Answer:
y = 107
z = 36
Step-by-step explanation:
We are given that line o is parallel to line m, and we can notice line k is a transversal through them both. Using same side interior angles, we can say that:
y + 73 = 180
and
y = 107
Next, using vertical angles, we can say that:
5z - 73 = y
We already have y = 107, so we can substitute that in:
5z - 73 = 107
5z = 180
z = 36