Answer:
Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2
Step-by-step explanation:
1. Angelina received 10% off a $50 pair of shoes. How much did she save?
Answer:
$5
Step-by-step explanation:
Multiply 0.10 by $50
5
So Angelina saved $5
Hope this helped :)
Write the zero that corresponds to the factor (x+5)
Answer:
0+5
Step-by-step explanation:
Hope this helps. :)
Solve.
-11 2/3 × (-4 1/5) = ?
A) 49
B) -44 2/15
C) -49
D)-44 2/15
Answer:
the answer is C
Step-by-step explanation:
i just went over this question like just now
true or false: the points (6, 13), and (21, 33) and (99, 137) all lie on the same line. th equation of the lines is y + /3x + 5. explain or show your reasoning.
Answer:
point A (6,13) lies on the equation. True
given point B(21,33) lies on the equation. True
given point C (99, 137) lies on the equation. True
The equation that was given was y = 4/3x + 5
Now,check the given equation for the given points.
1) A (6,13)
Substitute x = 6 in the given equation y = 4/3x +5
y = 4/3(6) + 5 = 4(2) + 5 = 8+5 = 13
y=13
the given point A (6,13) lies on the equation.
2) B (21,33)
Substitute x = 21 in the given equation y=4/3x+5
y=4/3(21) + 5 = 4(7) + 5=28+5=33
y = 33
the given point B(21,33) lies on the equation.
3) C (99, 137)
Substitute x = 99 in the given equation y = 4/3x + 5
y=4/3(99) + 5 = 4(33) + 5 = 132 + 5 = 137
y = 137
the given point C (99, 137) lies on the equation.
There is your answer
Laura bought a bike on sale for $7.16 off the list price. The discount was 8%. What was the list price?
please help me! (will mark branliest)
Answer:
0.5728
Step-by-step explanation:
8*7.16/100 =0.5728
Candace is considering purchasing a common stock that pays an annual dividend of $3.42 per share. If she purchases 400 shares for $53.18 per share, what would her annual income be from dividends?
Answer:
$1368
Step-by-step explanation:
Income from dividends = price per share x number of dividends purchased
$3.42 x 400 = $1368
Sheila has 14 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1/4 pounds. How many containers does she need? Complete the explanation.
Answer:
11 3/5 containers
Equivalent to 11.6 containers
Step-by-step explanation:
Total pounds of potato salad = 14 1/2 pounds
Pounds in each container = 1 1/4 pounds
How many containers does she need?
Number of containers needed = Total pounds of potato salad / Pounds in each container
= 14 1/2 ÷ 1 1/4
= 29/2 ÷ 5/4
= 29/2 × 4/5
= (29×4) / (2×5)
= 116/10
= 11 6/10
= 11 3/5 containers
Equivalent to 11.6 containers
One to one function and value
Answer:
yes
Step-by-step explanation:
no two points have the same y value
please complete marking the first answer brainliest!
Answer:
$31.56
Step-by-step explanation:
$9.85 × 4 = $39.40
$39.40 25% off is $29.55
6.75% rounded to the nearest cent 6.80%
Sales tax is $2.01
$29.55 + $2.01 = $31.56
Hi Someone plz help me ty have a great day.plz see the picture
Answer:
Your answer is 34 1/2, have a great day and happy holidays!
Step-by-step explanation:
Answer:
34 1/2
if you use the distributive property and multiply 11×3 you would get 33 then multiply 1/2×3 you get 3/2 or 1 1/2 then add 33+1 1/2 and you get 34 1/2. hope this helped.
y=-4x+2
At point (1,y), what is y?
what is the quotient of 4 divided by 1/8
Answer:
32
Step by step explanation
What is the slope of the line?
-2x + y = -4
Need help asap
Answer:
y = 2x - 4
Step-by-step explanation:
Can I ask which variable you are solving?
PS I will assume you need the formula y=mx+b
-2x + y = - 4
Here you would translate the m and x variables to the right side making them positive.
y = 2x - 4
Now the formula is in proper form
Hey :)
If you are solving for x, the answer is: x = y/2 + 2
-2x + y = -4
Subtract y from both sides
−2x = −4 − y
The equation is in standard form:
−2x = − y −4
Divide both sides by −2:
-2x/-2 = -y - 4/-2
Dividing by −2 undoes the multiplication by −2
x = -y -4/-2
Divide −4 −y by −2
x = y/2 + 2
However, if you are solving for y, the answer is: y = −4 + 2x
−2x + y = −4
Add 2x to both sides:
y = −4 + 2x
Hope this helps!
Graph g(x) = –2x – 3
Answer:
The slope would be -2 with a y-intercept of (0, -3).
I hope this helped to answer your question.
HELP PLEASE what;s the slope of the line?
Answer:
u didnt even send an attachment
Step-by-step explanation:
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance
from point A to point C is 16 ft.
A
12 ft
B
15 ft
С
What is the distance from point A to point B in feet?
Answer:7
Step-by-step explanation:
please help! 1 quick question! xoxo
Finbar invested money in a transportation stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents number of days. Find the approximate average rate of change from day 11 to day 15.
Answer:
The average rate of change is 76.8
Step-by-step explanation:
The average rate of change is ;
f(b)-f(a)/b-a
where ; a is 11 and b is 15
f(11) = 0.01(2)^11 = 20.48
f(15) = 0.01(2)^15 = 327.68
The average rate of change will
be;
(327.68-20.48)/15-11 = 307.2/4 = 76.8
Answer:
76.8
Step-by-step explanation:
The average rate of change is f(b)-f(a)/b-aSo u basically do
f(11) = 0.01(2)^11 = 20.48
f(15) = 0.01(2)^15 = 327.68
The average rate of change will be uh 76.8
(327.68-20.48) /1 5-11 = 307.2/4
= 76.8
Hope this helps
~~Wdfads~~
Can anyone simplify this??
Answer:
[tex]3^{12}[/tex]
Step-by-step explanation:
[tex]([/tex][tex]3^{5}[/tex][tex])^{2}[/tex]
You multiply the exponents to get:
[tex]3^{10}[/tex]
Then you divide it by [tex]3^{-2}[/tex]
When dividing exponents, you subtract.
10 - - 2 = 12 so the exponent is 12.
That leaves us with:
[tex]3^{12}[/tex]
Parker grew
21 inches each year for the past 3 years. How many inches total has Parker grown in the past 3 years
Answer:
63
Step-by-step explanation:
21*3
As an estimation we are told 5 miles is 8 km.
Convert 100 km to miles.
Answer:
62.5 miles
Step-by-step explanation:
The answer is 62.5 miles because 5 divided by 8 is 0.625 and 0.625 multiplied by 100 is 62.5
I need it done du the end of the day
Please please
Answer:
1). Options (B) and (E)
2). First train is going faster than the second train.
Step-by-step explanation:
1). Rate of 2 gallons of vinegar = $3
Therefore, per gallon rate of vinegar = [tex]\frac{3}{2}[/tex] = $1.5
In $3 quantity of vinegar chef will get = 2 gallons
Therefore, quantity of vinegar chef will get in $1 = [tex]\frac{2}{3}[/tex] gallons
Option (A).
Price of 4 gallons = 4 × $1.5 = $6.00
False.
Option (B)
Price of 1 gallon = $1.50
True
Option (C)
Price of 30 gallons = 30 ×$1.5 = $45
False.
Option (D)
In $2 number of gallons of vinegar chef will get = [tex]\frac{2}{3}\times 2=\frac{4}{3}[/tex] gallons
False
Option (E)
Number of gallons of vinegar chef gets in $1 = [tex]\frac{2}{3}[/tex]
True
Therefore, Options (B) and (E) are the correct.
2). Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
For first train,
Speed = [tex]\frac{30}{\frac{1}{3}}[/tex]
= 90 miles per hour
For second train,
Speed = [tex]\frac{20}{\frac{1}{2}}[/tex]
= 40 miles per hour
Since, 90 miles per hour > 40 miles per hour
First train is going faster than the second train.
Simplify by combining like terms. 7x^2 + 2x^3 - 5x^2 + 3x - 4x^3
(someone plz help)
Answer:
Step-by-step explanation:
2x^2-2x^3+3x
Answer:
Step-by-step explanation:
Add them together
-2[tex]X^3[/tex] + 2[tex]X^2[/tex] + 3x
What is the rate of change for y=0.5x+9
Answer:
0.5
Step-by-step explanation:
The rate of change is the same as the slope. The equation y=0.5x+9 is written in slope intercept form, so 0.5 is the slope.
Answer:
Slope: 0.5
Y - Intercept: (0, 9)
x y
-18 0
0 9
(pretend that's a graph)
Proportional: Ratios are equivalent.
Non-proportional: Ratos are not equivalent.
-18/ 0 is not equal to 0/9.
Undefined =0
Non-proportional
ASAP solve 21x+6=300 30 points
Answer:
X = 14
Step-by-step explanation:
Answer:
x-14
Step-by-step explanation:
Pls help I don’t under stand and I’ve been on this question for 2 hours
Answer:
Lumberrum2 [tex]x^{2} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi \alpha \frac{x}{y}[/tex]
Step-by-step explanation:
Answer:
x = 20
p = 144
y = 144
Step-by-step explanation:
Vertically opposite angles are equal.
2x - 4 = 96 - 3x
2x + 3x -4 = 96
5x - 4 = 96
5x = 96+4
5x = 100
x = 100/5
x = 20
2x - 4 = 2*20 - 4 = 80 - 4
= 36
p + (2x - 4) = 180 {linear pair}
p + 36 = 180
p = 180 - 36
p = 144
y = p {vertically opposite angles}
y = 144
I need help on this question
Answer:
A
Step-by-step explanation:
The approximate areas of two states are listed below. Texas: 2.69\times10^5 square miles Rhode Island: 1.21\times10^3 square miles Determine the difference, in square miles, between the area of Texas and the area of Rhode Island. Write your answer in scientific notation.
Answer:
10 times 5 =50 (2.69 x 50) = 134.5
10 times 3=30 (1.21x30)= 36.3
Step-by-step explanation:
The difference between the area of Texas and Rhode Island in square miles and scientific notation should be (2.68 × 10⁵) square miles.
Calculation of the area:Area of Texas = (2.69 × 10⁵) square miles = 269000 square miles
Area of Rhode Island = (1.21 × 10³) square miles = 1210 square miles
Now
Difference between the Area of the Texas and Rhode Island should be
= 269000 - 1210
= 267,790 square miles
= (2.68 × 10⁵) square miles.
Learn more about an area here: https://brainly.com/question/4329157
A jewelry store buys a gold watch sell.
The price of the watch is marked up 45%
The store sells the watch for $2,610.00.
How much did the jewelry store pay for the watch?
Answer:
-2565
Step-by-step explanation:
because all you have to do is subtract the percentage and the actual price of the jewelry so yeah he's paid that much money so yeah