Answer:
8
There are two real solutions
Step-by-step explanation:
We have the following quadratic equation
[tex]2x^2+4x+1=0[/tex]
a refers to the coefficient next to [tex]x^2[/tex]
b refers to the coefficient with [tex]x[/tex]
c refers to the number without x
This means that
[tex]a=2\\b=4\\c=1[/tex]
We now can plug these variables into the discriminant formula
[tex]b^2-4ac\\\\(4)^2-4(2)(1)\\\\16-8\\\\8[/tex]
As our answer is positive, we can determine that this quadratic equation has two real solutions.
Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it in fraction
form)
Answer: Yes
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a circle = π r^2
Reamed hole area = π 0.278^2= 0.242794846
Pin Area: π ([9/32]/2)^2= 0.062126221
Diameter = 2 radius
Radius = diameter/2
Since
Hole Area > pin area
The pin will fit into the reamed hole.
Feel free to ask for more if needed or if you did not understand something.
What is the solution to the linear equation? x – StartFraction 2 Over 3 EndFraction x minus StartFraction one-half EndFraction equals StartFraction 1 Over 3 EndFraction plus StartFraction 5 Over 6 EndFraction x. = + x x = –5 x = –negative StartFraction 1 Over 6 EndFraction x = StartFraction 1 Over 6 EndFraction x = 5
Your question is not well presented
Question:
What is the solution to the linear equation?
[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]
Answer:
[tex]x = \frac{-5}{3}[/tex]
Step-by-step explanation:
Given
[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]
Required
Simplify
[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]
Add [tex]\frac{1}{2}[/tex] to both sides
[tex]x - \frac{2}{3}x - \frac{1}{2} + \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}[/tex]
[tex]x - \frac{2}{3}x = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}[/tex]
Subtract [tex]\frac{5}{6}x[/tex] from both sides
[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{5}{6}x + \frac{1}{2} - \frac{5}{6}x[/tex]
[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2} + \frac{5}{6}x- \frac{5}{6}x[/tex]
[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2}[/tex]
Take LCMs
[tex]\frac{6x - 4x -5x}{6}= \frac{2+3}{6}[/tex]
[tex]\frac{-3x}{6}= \frac{5}{6}[/tex]
Multiply both sides by 6
[tex]6 * \frac{-3x}{6}= \frac{5}{6} * 6[/tex]
[tex]-3x= 5[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}= \frac{5}{-3}[/tex]
[tex]x = \frac{5}{-3}[/tex]
[tex]x = \frac{-5}{3}[/tex]
Answer:
x=-5
Step-by-step explanation:
In the spinner below, what is the probability of landing
on 6?
A. 1/4
B. 1/8
C. 1/3
D. 1/6
Answer:
1/4
Step-by-step explanation:
There are 4 equal sized sections, and 2 sections that are twice the size of the others ( 2*2=4), for a total of 8 sections
The section with a 6 in it is a double size section so it counts as 2 sections
P(6) =number of sections with a 6/ total sections
=2/8
=1/4
Answer:
1/4
Step-by-step explanation:
A
Which expression can be used to check the answer to 56+(-14)=n?
Answer: n = 42
Step-by-step explanation:
56 - 14 = 42
If + and - are right next to each other, the + cancels out.
Answer:
i agree with Thetides5 the answer is n=42
Step-by-step explanation:
plz give me a brainliest i been working so hard to get a brainliest but no one has give me me one so plz can u give me one??? And hope this helps :D
which is the discriminant of the quadratic equation 6x^2 + x -8=0?
Answer:
0?
Step-by-step explanation:
Which graph represents the function f(x) = 4|x|? (please answer honestly I'm on a timed test rn)
Answer:
The graph that corresponds to the function is B.
Step-by-step explanation:
We want to see which one of the given graphs represents the function f(x) = 4*|x|
The correct option is the second graph.
How to find the correct graph?
Here we want to find the graph of the absolute value function:
f(x) = 4*|x|
To get it, we can evaluate the function in some values of x and then see which graph contains these points.
for example for x = 1 and x = -1 we have:
f(1) = 4*|1| = 4
f(-1) = 4*|-1| = 4
Then we need to see which graph contains the points (1, 4) and (-1, 4)
We can see that the only graph that contains these points is the second one, so the correct option is the second graph.
If you want to learn more about absolute value functions, you can read:
https://brainly.com/question/1782403
Find the value of x if A, B, and C are collinear points and B is between A and C. AB=2x,BC=x−2,AC=28
Answer:
x = 10
Step-by-step explanation:
Data
AB=2xBC=x−2AC=28Given that A, B, and C are collinear points and B is between A and C, then the addition of the measure of segments AB and BC must be equal to the measure of segment AC, that is:
AB + BC = AC
Replacing with data:
2x + (x - 2) = 28
3x - 2 = 28
3x = 28 + 2
x = 30/3
x = 10
Solve (x + 1)2 - 4(x + 1) + 2 = 0 using substitution.
U
4(x +1)
x +1
(x + 1)2
Answer:
u=x+1
u2-4u+2=0
-2u+2=0
u=1=x+1
x=0
Step-by-step explanation:
what is the difference between -17 and -7
Answer:
-10 or 10
Step-by-step explanation: I think its 10 but if its not it will probally be -10 i'm sorry if both of these are wrong. take care :) .
Answer:
-10 or 10
Step-by-step explanation:
-17
-07
-10
A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this exponential model?
Question 3 options:
A)
f(t) = 67(.70)t
B)
f(t) = 70(67,000)t
C)
f(t) = t(.70)67,000
D)
f(t) = 67,000(.70)t
Answer:
f(t) = $67000(.30)^t (Must use " ^ " to indicate exponentiation)
Step-by-step explanation:
This is an exponential function:
f(t) = $67000(.30)^t (Must use " ^ " to indicate exponentiation)
help again please thank you
Answer:
1) False
2) True
3) False
4) True
5) True
6) False
7) True
8) True
Answer:
The electron configuration of an element describes how electrons are distributed in its atomic orbitals. Electron configurations of atoms follow a standard notation in which all electron-containing atomic subshells (with the number of electrons they hold written in superscript) are placed in a sequence. For example, the electron configuration of sodium is 1s22s22p63s1.
Step-by-step explanation:
Find the value of x.
Answer:
x=1
Step-by-step explanation:
7 times 1 is 7 minus 1 is 6
2 times 1 is 2 minus 1 is 1
6 plus 1 is 7
you have to substitute the one
Simplify (4p^3)(-4p^4)
Answer:
-16p⁷
Step-by-step explanation:
(4p³) (-4p⁴)
4 times -4 is -16. p³ times p⁴ is p⁷.
-16p⁷
Answer:
4p^3=12p
-4p^4=-16p
12p-16p=-4p
hope this helps
I have no idea how to do this.. help?
Answer:
add
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:
Remember y=mx+b and the intercept is 5. Then we do rise over run. Which is 2/3. So it think:y=2/3+5. Please correct me if i am wrong. Hope this helps.
Select the correct answer.
This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the
pyramid to the volume of the prism?
Answer:
b
Step-by-step explanation:
A line is parallel to y = 4x – 2 and
intersects the point (5, -11).
What is the equation of this parallel line?
y = [?]x +
Hint: Use the Point-Slope Form: y - y1 = m(x - X1)
Then write the equation in slope-intercept form.
Answer:
y=4x-31
Step-by-step explanation:
Ignore the hint. Point slope form makes everything so much harder than it has to be.
Parallel lines always have the same slope, in this case 4.
So our equation is now: y = 4x + b
Let's solve for b by plugging in (5, -11), as it's the only point we know is on the parallel line.
-11 = 4(5) + b
-11-20 = b
b = -31
So plug in b: y = 4x - 31
--------------------
Also rate and tell me if I'm correct :)
Answer:
y = -4x + 15.
Step-by-step explanation:
To find the equation of a line perpendicular to y = -2 and passing through the point (4, -1), we can use the point-slope form of a linear equation.
The given line y = -2 has a constant slope of 0 since there is no variable term involving x. A line perpendicular to it will have an undefined slope.
Using the point-slope form, we have:
y - y₁ = m(x - x₁),
where (x₁, y₁) represents the coordinates of the given point (4, -1), and m represents the slope.
Since the slope is undefined, the equation becomes:
y - (-1) = undefined(x - 4).
Simplifying:
y + 1 = undefined(x - 4).
Now, we can write the equation in slope-intercept form by substituting the slope as -4 (the negative reciprocal of 0):
y + 1 = -4(x - 4).
Expanding the right side:
y + 1 = -4x + 16.
To isolate y, we can subtract 1 from both sides:
y = -4x + 16 - 1.
Combining the constants:
y = -4x + 15.
Therefore, the equation of the perpendicular line is:
y = -4x + 15.
Please help me answer these e questions pleasesssss
Answer:
4) 8^14
7) h^7
10) 29^8 over 10^8
Step-by-step explanation:
If the numbers have the same base, just add their exponents together. So 10 plus 4 is 14.
Same thing for the second problem, since you have the same base, just add the exponents together. 6 plus 1 is 7
The bases are the same so just add the exponents, 7 plus one is 8.
(-2.9)^8
Convert it into a fraction: -(29/10)^8
Raise the fraction to the power (8) and the numerator and denominator to that power: 29^8/10^8
Hope this helps :)
8¹⁴
Step-by-step explanation:
4.) 8¹⁰×8⁴
=8 to the power (10+4)
=8¹⁴
7.) h⁶xh¹
=h to the power (6+1)
=h^7
10.) (-2.9)^1×(-2.9)^7
=(-2.9)^7+1
=(-2.9)^8
I need help please ASAP!!!!
Answer:
A pair of intersecting straight lines which agrees with option A of the answers in the list
Step-by-step explanation:
Recall, how a cone is built, as the surface produced by a line (called the "generatrix") as it moves at a fixed angle pivoting around a fixed point that will become the "vertex" of the cone.
As a plane cuts the cone perpendicular to its base and passing through the vertex, it will just intersect the generatrix trajectory in exactly two locations.
To create an image, Figure C is going to be translated 2 units to the left, reflected across the y-axis, and rotated 270° clockwise about the origin. What must be true about Figure C and its image?
Answer:
BRO THE IMAGE FORMED IS CONGRUENT
Step-by-step explanation:
Answer:
They are congruent
Step-by-step explanation:
Figure C will still stay the same shape and size because there was no dilation involved in the process. The image of Figure C will be in quadrant 1 and rotated 270° clockwise. Congruent means it is the same shape and size. So our answer is "They are congruent".
solve for slope. (-2,7) (-1,6)
Answer:
m = - 1/3
Thats the answer.
Step-by-step explanation:
giving brainliest to first answer!!
Determine the area of the composite figure to the nearest whole number.
A) 62 cm2
B) 147 cm2
C) 188 cm2
D) 260 cm2
Answer:
B
Step-by-step explanation:
34 + 36pi = 147
A fair,six sided dice is thrown once. Select the probability of a 3 showing on the dice.
A= 1/6
B=1/2
C=6%
D=1/3
E=1:7
Answer:
A
Step-by-step explanation:
cause it only has 3 in l side
The probability of a 3 showing on the dice would be equal to 1/6. the correct option is A.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that A fair,six sided dice is thrown once.
There are 6 possibilities and 3 is one of them so, probability of 3 is 1 out of 6,
The probability of a 3 showing on a six-sided dice is;
P(E) = 1/6
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ2
Mrs. Jackson gives the table below to her students. In order for the function to be linear, what must a be and why?
Answer:
m= 20 because the rate of change is -3.
Answer:
The answer is D
a= 20 because the rate of change is -3
Step-by-step explanation:
edg 2022
To start a taco food truck service, a woman borrowed $7,500. If the loan was for 5 years and the amount of interest was $3187.50, what simple interest rate was she charged?
Answer:
The interest rate was 42.5%.
Step-by-step explanation:
Please Help!!! Answer will get brainliest!!
Consider the expression.
What is the value of the expression if m = –5 and n = 3?
-24/25
-4/25
4/25
24/25
Answer:
4/25
Step-by-step explanation:
First move everything so they have positive exponents
4n²/9m²
4(3)² / 9(-5)² = 36/225, now simplify 4/25
What is the ratio of x to y? (Write it in simplest form)
Answer:
There is no explanation so I guess 1 to 1?
Step-by-step explanation:
Please write a Complete answer.
Answer:1. 8.6 2. 9.4 3.8.5
Step-by-step explanation:
Answer: The first puppy would weigh: 8.6 ounces
The second puppy would weigh: 9.4 ounces
The third puppy would weigh: 8.5 ounces
Step-by-step explanation: The puppies weights were 6.5, 7.3, and 6.4 respectively. The question says each puppy gained 2.1 ounces
So just add 2.1 to each of the puppies weights:
6.5+2.1=8.6
7.3+2.1=9.4
6.4+2.1+8.5
Hope this helps :)
Find the value of x and the measure of angle Y.
W
00
8
X< 62°
(4x - 2)°
Y
Value: 10
x is equal to
degrees.
Angle Y measures
degrees.
Answer:
x is equal to 16 degrees
Angle measures 62 degrees
Step-by-step explanation:
From Law of Sines:
XW/sin(∠Y) = WY/sin(∠X)
From the picture
XW = 8
WY = 8
∠X = 62°
Replacing into the equation:
8/sin(∠Y) = 8/sin(62°)
∠Y = 62°
Angle Y is also equal to:
∠Y = 4x - 2
62 = 4x - 2
62 + 2 = 4x
64/4 = x
16° = x
What is the slope of the line passing through the points (1, 2) and (5, 4)?
−2
1/2
2
1
Answer:
The answer would be 1/2
ASAP, pls I need help with these questions
Answer:
a) 2/5 x 900 = 360 hectares
b) 3/5th
c) 3/5 x 900 = 540
540 - 360 = 180
Farmer Richards needs to bring another 180 hectares under cultivation.