Consider a quadratic equation with integer coefficients and two distinct zeros. If one zero is irrational, what is true about the other zero
Answer:
Step-by-step explanation:
irrational roots always occur in pairs.
Other root is also irrational and is negative of first zero.
If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .
What is quadratic equation ?Any equation of the form [tex]ax^{2}+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .
Let assume quadratic equation is
[tex]ax^{2}+bx+c=0[/tex]
Given that coefficients are integer and roots are distinct
we know root of quadratic equation are
[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]
As roots are distinct
[tex]b^2-4ac > 0\\[/tex]
and one root is irrational so [tex]b^2-4ac[/tex] is not a perfect square
Hence another root is also irrational .
If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .
To learn more about quadratic equations visit : https://brainly.com/question/1214333
I need help I'm confused.
Answer:
ok
Step-by-step explanation:
Find the square root for y=-2(x-5)(x+7)?
Carlos has 2.6 meters of wire. He has 3 projects for which he needs 0.9 meters each. Does carlos have enough wires?
Answer: Carlos does not have enough wires by 0.1 meters
Step-by-step explanation:
To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.
= 0.9 + 0.9 + 0.9
= 2.7 meters
Carlos has 2.6 meters of wire but needs 2.7 meters.
Carlos therefore, does not have enough wires.
Solve for x: 6x + 1 = -23
Answer:6x=-23 - 1
6x=-24
X=-4
Step-by-step explanation:
image down below plz and thx answer first and ill give you brailiest
Tina bought a car for $5000. After owning the car for a year, it had a depreciation of 15%.
a) How much is the car worth now?
b) How much did the cardecrease in value?
Answer:
The car is worth $4250 now and it decreased by $750
Step-by-step explanation:
5000* .85 is 4250
Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number.
Step-by-step explanation:
B. Four less than a number.
Two angles are same side interior angles between two parallel lines. One angle is 30° more than one half the other angle. What is the measure of the smaller angle?
Answer:
284
Step-by-step explanation:
Plz help
Rewrite the fraction in the sentence below as a percentage.
In 2010, a fire destroyed
3/10 of the farmer's crops.
Answer: 30%
Step-by-step explanation:
Method 1:
The original fraction is [tex]\frac{3}{10}[/tex]
To convert to a percent, the denominator should be equal to 100 (since percent is per 100)
Multiply the top and bottom by 10
[tex]\frac{3}{10} * \frac{10}{10} = \frac{30}{100}[/tex]
Since the numerator is 30, 3/10 as a percent is 30%
Method 2:
The original fraction is [tex]\frac{3}{10}[/tex]
To convert to a percent, first convert the fraction to a decimal (do 3 ÷ 10)
0.3
10 | 3 0
-30
-------------
0
You get 0.3
Now multiply the decimal by 100
0.3 * 100 = 30
30%
Method 3:
The original fraction is [tex]\frac{3}{10}[/tex]
[tex]\frac{3}{10} = \frac{x}{100} \\10x = 300\\x = 30[/tex]
cross-multiply to solve the equation
30%
the perimeter of a rectangle is (10x2).if it's width is (2x-1),which expression represents the length
a.5x-2
b.3x+2
c.8x+3
d.12x+1
Answer: b. 3x + 2
Step-by-step explanation:
2l + 2w = p
2l + 2(2x - 1) = 10x + 2
2l + 4x - 2 = 10x + 2
2l = 6x + 4
l = 3x + 2
5. What is the slope of this graph?
a) m = 2/3
b) m = -2/3
c) m = 3/2
d) m = -3/2
6. What is the slope of this graph?
a) m = 2/3
b) m = -2/3
c) m = 3/2
d) m = -3/2
answers for 5 and 6
5) C
6) B
Step-by-step explanation:
hope this helped
Please help me with math!!!!!
Answer:
We need for inforamtion like what is the volume for both of the shapes
Step-by-step explanation:
Use synthetic division to divide x^3-8x^2+9x-5 by x-3
Answer:
x^2 - 6x - 6, remainder -23
Step-by-step explanation:
Start like this:
3 | 1 -8 9 -5
|
--------------------------------
First step is to copy the 1 to below the line.
3 | 1 -8 9 -5
|
--------------------------------
1
Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.
3 | 1 -8 9 -5
| 3
--------------------------------
1 -5
Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.
3 | 1 -8 9 -5
| 3 -15
--------------------------------
1 -5 -6
Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.
3 | 1 -8 9 -5
| 3 -15 -18
--------------------------------
1 -5 -6 -23
Answer: x^2 - 6x - 6, remainder -23
The solution is, x^2 - 6x - 6, and, the remainder -23.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
divide x^3-8x^2+9x-5 by x-3
Start like this:
3 | 1 -8 9 -5
|
--------------------------------
First step is to copy the 1 to below the line.
3 | 1 -8 9 -5
|
--------------------------------
1
Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.
3 | 1 -8 9 -5
| 3
--------------------------------
1 -5
Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.
3 | 1 -8 9 -5
| 3 -15
--------------------------------
1 -5 -6
Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.
3 | 1 -8 9 -5
| 3 -15 -18
--------------------------------
1 -5 -6 -23
Hence, Answer: x^2 - 6x - 6, remainder -23
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#SPJ2
Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?
Answer:
6in
Step-by-step explanation:
Given data
Volume of the lockbox= 312 cubic inches
Height= 4in
Length= 13in
Width= ???
The expression for the volume of box is
V= L*W*H
substitute
312=13*W*4
312=52W
W= 312/52
W=6 in
Hence the width is 6in
If ABCD \cong≅ EFGH, select the answer choice that has the correct tick marks for corresponding sides
Answer:
AB and EF;
BC and FG;
CD and GH;
DA and HE
Step-by-step explanation:
Given
[tex]ABCD \cong EFGH[/tex]
Required
Select correct option for corresponding sides
No options were given. So, I will just list out the corresponding sides.
[tex]ABCD \cong EFGH[/tex] implies that:
[tex]A \cong E[/tex]
[tex]B \cong F[/tex]
[tex]C \cong G[/tex]
[tex]D \cong H[/tex]
So, the corresponding sides are:
AB and EF; BC and FG; CD and GH; DA and HE
Heidi lost an average of 4 pounds a month for five months. What was her total weight loss?
Answer:
20 lbs
Step-by-step explanation:
is heidi dieting cuz thats good!
4 lbs x 5 months = 20 lbs
help ineed help its just too much too count im so confused #screwfortnite
Answer:
7 X 10
Step-by-step explanation:
because up and down there are 7 and left to right there are 10
Answer:
7 X 10
Step-by-step explanation:
All you have to do is count how many rows there are (just count the vertical line down the side) and you get your first term 7. Then count how many columns (just count the top row) and you get your second term 10. This is a 7 by 10 array, which means there are 70 flowers in total.
HELP
What is an equation of the line that passes through the points (-6, 2) and (6, –2)?
Answer:
y=(-1/3)x
Step-by-step explanation:
y=mx+b
(x,y)
put in the first point into y=mx+b
2=m(-6)+b
then the second point is (6,-2)
put the point into y=mx+b
-2=6m+b
----------------------------
Put both equations in a system of equations
-2=6m+b
2=m(-6)+b
solve for m and b
-1/3=m and 0=b
so put that back into y=mx+b
y=(-1/3)x+0
so that is the only line that passes through both points
How many points need to be removed from this graph so that it will be a function?
Jennifer needs to make at least $325 to pay for a new Xbox. She already has $184 saved in her account. Which inequality can Jennifer use to find n, the amount of money she still needs to save to meet or exceed her goal?
Determine whether the data described in the tables is best modeled by a linear function or an exponential function.
Answer: Tigers: Linear Function
Narwhals: Linear Function
HELP DUE AT MIDNIGHT TN
Answer:
102
Step-by-step explanation:
These angles are congruent due to corresponding angles thm
3x + 21 = 6x - 60
3x - 6x = -60 - 21
-3x = -81
x = 27
3x + 21
3(27) + 21
81 + 21
102
please can anyone help me??
Answer:
140 DEGREES
Step-by-step explanation:
160-20=140
270 divided by 4
PLEASE HELP ASAP
Answer:
67.5
Step-by-step explanation:
Answer: Divide the 2 numbers
Answer:
the answer is 67.5
Step-by-step explanation:
270/4=67.5
Find the 60th term of the arithmetic sequence -27, -24, -21
Please help I will give brainliest
Answer:
x ≥ -6
Step-by-step explanation:
The arrow is directing towards the right, in which the line contains number greater than -6. Moreover the circle on top of -6 is closed, proving that it is 'greater than or equal to'. (if it was greater than, the circle on top of the number would be open; the inner part of the circle wouldn't be shaded)
(d)
2 m
-10 m
6 m
4 m
15 m
14 m
20 m
Answer:
its d
Step-by-step explanation:
If sally invests $400 into the Bank of Reyonds that offers her a 6% interest, compounded monthly, how much money will she have in the bank in 5 years?
Given:
Principal = $400
Rate of interest = 6% compounded monthly
Time = 5 years.
To find:
The amount in the bank after 5 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.
Interest compounded monthly. So, [tex]n=12[/tex].
Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get
[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]
[tex]A=400\left(1+0.005 \right)^{60}[/tex]
[tex]A=400\left(1.005 \right)^{60}[/tex]
[tex]A\approx 539.54[/tex]
Therefore, the amount of money in the bank after 5 years is $539.54.
Please help on this!
Answer:
18cm,21cm,27cm
Step-by-step explanation:
explanation in picture