9514 1404 393
Answer:
-8
Step-by-step explanation:
If α and β are roots of x^2 +5x +a = 0, then we must have ...
(x -α)(x -β) = x^2 +5x +a
x^2 -(α+b)x +αβ = x^2 +5x +a
Then ...
α + β = -5
Together with the other relation between the roots, we have a system of equations in α and β.
Using the above to write an expression for β, we get ...
β = -α -5
Substituting this into the given relation, we have an equation for α:
2α +5(-α -5) = -1
-3α -25 = -1 . . . . . . eliminate parentheses
-24 = 3α . . . . . . . . add 3α +1
-8 = α
The root α is equal to -8.
There is 3/8 of A PIZZA IN ONE BOX AND 1/4 OF A PIZZA IN ANOTHER BOX HOW MUCH DO YOU HAVE ALTOGETHER
Answer:
5/8
Step-by-step explanation:
I believe this should be fraction addition (?)
3/8 + 1/4
8, 4: 8 = 3/8 + 2/8
= 3 + 2/8 = 5/8
You have a total of (5/8)th part of a complete pizza.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that you have 3/8 of a pizza in one box and 1/4 in another box.
Assume that the total pizza you have is denoted by [x].
[x] = (3/8 + 1/4) of a pizza
[x] = (3 + 2)/8 of a pizza
[x] = 5/8 of a pizza
Therefore, you have a total of (5/8)th part of a complete pizza.
To solve more questions on functions, expressions and polynomials, visit the link below -
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1 9/7 ÷ 5/4 please help me
Answer:
64/35
In mixed number form: 1 29/35
Step-by-step explanation:
Thats my fasted record for solving a division problem hehe :) You're welcome!
What is the opposite integer of 53
-53
The opposite of 53 is -53
What’s 10 x 3?? Please help me
Answer:
the answer is 30
Step-by-step explanation:
10 x 1 is 10, if you use multiple 10 x 2 it will be 20, the thing that will help is any number times 10. for example 10 x 5. use the smallest number (5) and add a zero next to it (50)
I need these 2 question this is important like actually
Answer:
1) 1,3,5,7
2) I can't really see it, it is blurry. Im sorry
Step-by-step explanation:
Cecilia simplified an expression. Her work is shown below.
(6 and one-half + 2 and three-fourths) minus 1.5 times (4.5 divided by 0.5)
Step 1 9 and one-fourth minus 1.5 times (4.5 divided by 0.5)
Step 2 7.75 times (4.5 divided by 0.5)
Step 3 7.75 times 9
Step 4 69.75
Where did Cecilia make her first mistake?
step 1
step 2
step 3
step 4
WIll mark brainliest !
Answer:second one
Step-by-step explanation:
you then have to distribute the answer not subtract 9 1/4 from 1.5
you have to do the parenthesis next
4.5/0.5=45/5=9
then
1.5*9= 13.5
then
9.25-13.5 which I think you are capable of solving
Answer:
Answer is B
Step-by-step explanation:
I did the test
2x + 1=4x-3 solve for x
Answer:
x = 2
Step-by-step explanation:
To start, you want to isolate x.
To do so, get all the x terms to one side.
2x + 1 = 4x - 3
Subtract -4x on both sides.
-2x + 1 = -3
Then, subtract 1 on both sides.
-2x = -4
Finally, divide -2 on both sides.
x = 2
Please help me I'm so stress out
.· Find the perimeter of a parallelogram with the following measurements
: a = 8, b = 5, h = 4
Answer:
The answer is 26
Step-by-step explanation:
Its right just do it
− 3 − {3 − [ − 3(2 +4) − ( − 2)]}
Tim bought some avocados that were $0.72 each. The total cost of the
avocados was $5.76. How many avocados did he buy? (just put the
number)
Answer:
8
Step-by-step explanation:
Help meeeeeeeeeee pleasee !!
Answer:
Acute triangle
Step-by-step explanation:
There are three sides and they are all not equal to each other
how much higher is 500 then 400m
What is a supplementary angle?
Answer:
a supplementary angles are adjacent angles that have a sum of 180 degrees
Step-by-step explanation:
if a supplementary angle measure up.to 180 degrees and x is 3 times the measure.of angle y then 3÷180 is equal to 60 then 60 degrees is the answer .
What is the missing length of this rectangle?
Answer:
10ft
Step-by-step explanation:
The bottom length is 16 and the top length is 6, so you would do 16-6 to get the missing value.
Jake lives 15 times as far away from the mountains as Larry. If Larry lives 32 miles from the mountains, how many miles from the mountains does Jake live?
Answer:
480 miles
Step-by-step explanation:
7/8 + (-2/3) divided by 5/6
enter your answer as a fraction in the simplest form
Answer:
23/72 is the answer in simplest form
Step-by-step explanation:
-34x+6=-28
I need to learn how to solve for x
Answer:
x=1
Step-by-step explanation:
-34x+6=-28
-6 -6
-34x=-34
-34 -34
x=1
Subtract 6 from both sides. on the left the 6 will be canceled out and on the right -28-6= -34
Than you divide -34 on both sides on the left the -34 will be canceled and on the right -34 divided bt-34 is positive 1. So x equals 1.
Answer:
Your answer is x = 11/17
Step-by-step explanation:
I gotchu!
Alright first, subtract 6 on both sides. After doing so, your equation should look like:
-34x = + 22
Then, divide -34 on both sides. Do not divide x though! The equation will look like:
x= -22/34
Now, let's simplify the answer. We can divide 22 and 34 by 2 so we will do that.
After simplifying, it should be 11/17.
Finally, keep it improper because you always should keep fractions improper when doing this.
Your answer is x = 11/17
can someone please figure out the first one, I already got the second one. I need help with the first one.
Thank you :)
Answer:
∠DBG= 109°
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer:
DBG=109
Step-by-step explanation:
What is an equation of the line that passes through the point (-2,3) and is
parallel to the line for 4x- y = 1?
Line m passes through points (2,-5) and (4,-3). Line n passes through points (-4,-8) and (-6,-6). Are lined m and n perpendicular? Explain?
A. Yes, the lines are perpendicular because the product of their slopes does not equal -1.
B. Yes, the lines are perpendicular because the product of their slips equals -1.
C. No the lines are not perpendicular because the product of there slopes equals -1.
D. No the lines are not perpendicular because the product of their slopes does not equal -1
Which of the following are equivalent to
- 5/10?
A)- 1/2.
B)-5/-10.
C)- (4/8).
D)-0.5.
E)5/-10.
Select all that apply.
a,b and e Read the paragraph from The Evolution of Useful Things.
In 1916 the company's sales manager insisted that a laboratory be formed to carry out experiments and tests to ensure quality control so that salesmen would not be embarrassed by faulty products. The laboratory in time made possible the research and development necessary to produce new and improved items in response to problems experienced by sandpaper users.
Which words from the excerpt indicate an order of the events in this paragraph?
In 1916, to carry out
to carry out, ensure
so that, in time
In 1916, in time
Noah is designing a set for a school theater production. He has 150 cardboard bricks. He needs to use some bricks to make a chimney and 4 times as many bricks to make an arch. He also saves 15 bricks in case some get crushed. How many cardboard bricks can he use to make the arch?
Answer:
The answer is c=108
If B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14, then what is the length of AB?
Answer:
The length of AB: 34
Step-by-step explanation:
What are we given?
B = Midpoint of AC
AB = 8x + 2
BC = 5x + 14
|--------------|--------------|
A B C
(This is what your line would look like)
Our equation would be:
AB + BC = AC
(8x + 2) = (5x + 14)
(AB) = (BC)
(Assuming that our line and points are evenly spread out, we can say that they can equal each other)
8x + 2 = 5x +14
- 5x- 2 = -5x -2
---------------------
3x = 12
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
---------------------
x = 4
1) Substitute
(8x + 2) + (5x + 14) = AC
(AB) + ( BC) = AC
AB = 8(4) + 2
32 + 2
= 34
BC = 5(4) + 14 =
20 + 14
= 34
(We may be able to assume that since the length of the line is possible the same for AB and BC this is considered correct)
The length of the line segment AB is 34 units.
Given that, B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14.
What is the midpoint of line segment?A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments. The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.
Since, B is the midpoint of AC
AB=BC
8x + 2=5x+14
Subtract 5x on both sides of the equation, that is
8x+2-5x=5x+14-5x
⇒ 3x+2 = 14
Transpose 2 to other side of the equation, we get
3x = 14 - 2
⇒ 3x=12
Transpose 3 to other side of the equation, we get
x=4
So, AB=8x+2
=8×4+2
=32+2=34 units
Therefore, the length of the line segment AB is 34 units.
To learn more about the line segment visit:
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Jax is at the gym about to lift weights. He finds the bar already has weights on it, but some are not labeled.
Answer:
what's the question?
Step-by-step explanation:
Expand and smiplify(3m + 3)²
Solve for x -4<11-3x
Answer:
( - infinity, 3.75) x < 3.75
Step-by-step explanation:
x - 4 < 11 - 3x
x < 15 -3x
4x < 15
x < 3.75
Draw the image of ABC under dilation whose center is P and scale factor is 4.
Answer:
By plotting points A', B' and C' we can get the dilated image A'B'C'.
Step-by-step explanation:
Let the point P is origin (0, 0), segment AB lies on the x-axis and segment PC on the y-axis,
Coordinates of A, B and C will be (1, 0), (2, 0) and (0, 2).
When triangle ABC is dilated by a scale factor 4 about the origin,
Rule for dilation;
(x, y) → (4x, 4y)
New coordinates of the points A, B and C will be,
A(1, 0) → A'(4, 0)
B(-2, 0) → B'(-8, 0)
C(0, 2) → C'(0, 8)
Answer:
Correct
Step-by-step explanation:
New coordinates of the points A, B and C will be,
A(1, 0) → A'(4, 0)
B(-2, 0) → B'(-8, 0)
C(0, 2) → C'(0, 8)
The length of the Amazon River in South America is 6,400 kilometers. What is the length written in scientific notation?
6.4 x 102 km
64 x 102 km
6.4 x 103 km
6.4 x 105 km
Answer:
[tex] 6.4 * 10^{3} km[/tex]
Step-by-step explanation:
Scientific notation can be defined as a way of expressing and writing a very small or large real number in decimal form. Generally, to use the scientific notation, we will multiply the real number by a power of 10.
Given that the length of Amazon River is 6,400 kilometers.
[tex] \frac{6400}{1000} = 6.4[/tex]
[tex] 1000 = 10^{3}[/tex]
Therefore,
6, 400 kilometers = 6.4 × 10³ kilometers.
2. Let z represent the unknown number. Write expressions for:
a. A third of the unknown number plus three
b. Four times the unknown number less twice the number
C. The sum of the unknown number and its square
d. The fraction obtained when double the unknown number is divided by the sum of the unknown number and four
Answer:
a. z+3
b. 2z - 4z
c. z + z^2
d. 2z/(z+4)
Hope it helped.
what is the given domain for this
y=-2+2
Answer:
Y = 0
Step-by-step explanation:
Y = -2 + 2
Negative 2 plus 2 equals zero, there is no more numbers so Y = 0.
