Solve Quadratic Equations by Factoring: Solve by factoring and using the Zero Product Property: 1. X^2-25=0 2. X^2=1=0 3. X^2=x+20 WILL MARK BRAINLIEST!!
Answer:
1. [tex]x = \pm 5[/tex]
2. [tex]x = \pm i[/tex]
3. [tex]x = 5, -4[/tex]
Step-by-step explanation:
1.
[tex]x^2-25=0[/tex]
[tex]x^2 = 25[/tex]
[tex]x = \pm \sqrt{25}[/tex]
[tex]x = \pm 5[/tex]
2.
[tex]x^2 + 1 = 0[/tex]
[tex]x^2 = -1[/tex]
[tex]x = \pm \sqrt{x-1}[/tex]
[tex]x = \pm i[/tex]
3.
[tex]x^2=x+20[/tex]
[tex]x^2 - x - 20 = 0[/tex]
[tex](x-5)(x+4)=0[/tex]
[tex]x = 5, -4[/tex]
You use it to form general ideas and rules based on your experiences and ______.
Answer:
You use it to form general ideas and rules based on your experiences and observations
Help me, please... Which two numbers on the number line have an absolute value of 2.75? Select the location of both numbers on the number line.
Answer:
2.75, and - 2.75
Step-by-step explanation:
Both have an absolute value of 2.75 which is how far away they are from 0.
Hope this helped!
Simplify the expression.
16-4 [3+2 divide (9-7)]
Answer:
0
Step-by-step explanation:
16-4 (3+2÷2)
16-4 (3+1)
16-4×4
16-16
0 ans.
2 5/7+4 3/5= help please
Answer:
[tex]7\frac{11}{35}[/tex]
Step-by-step explanation:
[tex]2\frac{5}{7}+4\frac{3}{5}[/tex]
add the whole numbers
[tex]2+4=6[/tex]
combine the fractions
[tex]\frac{5}{7}+\frac{3}{5}[/tex]
LCM is 35 because 7 * 5 =35
[tex]\frac{5}{7}=\frac{5\cdot \:5}{7\cdot \:5}=\frac{25}{35}[/tex]
[tex]\frac{3}{5}=\frac{3\cdot \:7}{5\cdot \:7}=\frac{21}{35}[/tex]
[tex]\frac{25}{35}+\frac{21}{35}=\frac{25+21}{35}[/tex]
[tex]=\frac{46}{35}[/tex]
change the improper fraction into mixed number
[tex]6+1\frac{11}{35}[/tex]
[tex]=7\frac{11}{35}[/tex]
Evaluate j/4 when j=12
Answer:
3
Step-by-step explanation:
[tex] \frac{j}{4} = \frac{12}{4} = 3[/tex]
4*3=12
3*4=12
12/4=3
12/3=4
Hope this helps ;) ❤❤❤
Answer:
We need to evaluate [tex]\frac{j}{4}[/tex] for j = 12.
First, we need to replace j by 12 on [tex]\frac{j}{4}[/tex], so we get [tex]\frac{12}{4}[/tex] and now, we only need to divide:
[tex]\frac{12}{4}=3[/tex]
So the result is 3
Help me please it’s algebraic expression
Answer:
17. xy + z = 51
18 yz - x = 18
21. 5z + ( y - x ) = 20
22. 5x - ( y2 - 4x ) = -10
23 . x2 + y2 - 10z = 70
24. z3 + ( y2 - 4x ) = 1
25. y + xz / 2
26 .3y + x2 / z = 30
Step-by-step explanation:
17.(6 x 8)+3=
48+3=51
18.(8 x 3)- 6 =
24 - 6 = 18
21. 15 + ( 8 - 3 )
15 + 5=
20
22 .30 - (64 - 24)=
30 - 40=
-10
23. 36 + 64 - 30
100 - 30
70
24. 9 + (16 - 24 )=
9 + -8 =
1
25. 8 + 48 / 2
56 / 2
28
26. 24+ 36/3
60/3=
30
At $1.22 million, they closed last month for...20 percent above what they paid in 2007." How much did they pay in 2007
Answer:
$1.02 million
Step-by-step explanation:
Given
[tex]Amount = \$1.22\ million[/tex]
[tex]\%\ increase = 20\%[/tex]
Required
Determine the amount in 2007
Let the amount in 2007 be represented with x.
The relationship between these parameters is:
[tex]1.22\ million = x + 20\%\ of\ x[/tex]
[tex]1220000 = x + 20\% * x[/tex]
[tex]1220000 = x + 0.20* x[/tex]
[tex]1220000 = x + 0.20x[/tex]
[tex]1220000 = 1.20x[/tex]
Divide both sides by 1.20
[tex]\frac{1220000}{1.20} = x[/tex]
[tex]1016666.67 = x[/tex]
[tex]x = 1016666.67[/tex]
Hence, they paid $1.02 million in 2007
A
5
B
3
4
С
Find tan(B) in the triangle.
Answer:
Step-by-step explanation:The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. Example: In the triangle shown, tan(A)=68 or 34 and tan(B)=86 or 43 .
Given two sides
if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)
if leg b is unknown, then. b = √(c² - a²)
for hypotenuse c missing, the formula is. c = √(a² + b²)
Answer:
it’s 3/4
Step-by-step explanation:
it’s right for khan (trigonometric ratios in right triangles)
Identify the vertical angles
Answer:
a and c are vertical angles
b and d are vertical angles
Step-by-step explanation:
Vertical angles are angles formed from the same lines, sharing the same vertex and opposite each other
a and c are vertical angles
b and d are vertical angles
Answer:
a and c are vertical angles
b and d are vertical angle
Step-by-step explanation:
f(x)= -X+6 g(x)=4x-6
g(f(x))
Answer:
[tex]g(f(x)) = - 4x + 18[/tex]Step-by-step explanation:
f(x) = - x + 6
g(x) = 4x - 6
In order to find g(f(x)) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)
That's
[tex]g(f(x)) = 4( - x + 6) - 6 \\ = - 4x + 24 - 6[/tex]We have the final answer as
[tex]g(f(x)) = - 4x + 18[/tex]Hope this helps you
Solving Equations Study Guide
19.) Nick opens a savings account with $50. Each week after, he deposits $15. In how
many weeks will he have saved $500?
Step 1: Underline any key information
Step 2: Define your variable.
Step 3: Write an equation
Step 4: Solve the equation:
Step 5: Answer in a complete sentence
Answer:
He took 30 weeks to save $ 500
Step-by-step explanation:
Let 'x' be the number of weeks
Money deposited after each week = $ 15
Money deposited 'x' weeks = 15 * x = 15x
Opening balance in his account = $50
So, money that will be in his account after x weeks = 50 +15x
Total money in the bank = $500
50 + 15x = 500
15 x = 500 - 50 { Subtract 50 from both sides}
15x = 450 { Divide both sides by 15}
15x/15 = 450/15
x = 30 weeks
Need help answering this question
Answer:
x=13
Step-by-step explanation:
[tex]g(x)=-4\\[/tex]
Therefore, substituting the value in the equation
[tex]g(x)=\sqrt{x+3} -8\\=>-4=\sqrt{x+3}-8\\ =>-4+8=\sqrt{x+3} \\=>4=\sqrt{x+3}\\[/tex]
Squaring both sides,
[tex]=>4^{2}=\sqrt{(x+3)} ^{2}\\=>16=x+3 \\=> x=16-3\\\\=>x=13[/tex]
x+y=2 8x+3y=-19 substitution
Answer:
{x,y}={−5,−7}
Explain:
// Solve equation [2] for the variable y [2] 3y = 7x + 14 [2] y = 7x/3 + 14/3 // Plug this in for variable y in equation [1] [1] 8x - 3•(7x/3+14/3) = -19 [1] x = -5 // Solve equation [1] for the variable x [1] x = - 5 // By now we know this much : x = -5 y = 7x/3+14/3 // Use the x value to solve for y y = (7/3)(-5)+14/3 = -7 Solution : {x,y} = {-5,-7}
Hoped I helped
Answer:
Input:
f(x, y) = x^2 - y^2
Geometric figure:
hyperbolic paraboloid
3D plot:
3D plot
Contour plot:
Contour plot
Alternate form:
f(x, y) = (x - y) (x + y)
Alternate form assuming x and y are positive:
x^2 = f(x, y) + y^2
Properties as a function:
Domain
R^2
Range
R (all real numbers)
Parity
even
Partial derivatives:
d/dx(x^2 - y^2) = 2 x
d/dy(x^2 - y^2) = -2 y
Indefinite integral assuming all variables are real:
integral(x^2 - y^2) dx = x^3/3 - x y^2 + constant
On a certain day, the temperature changed at a rate of -3F per hour. How long did it take for the change in temperature to be -33F
Answer:
11 hours
Step-by-step explanation:
To find how many hours it took, divide -33 by -3
-33/-3
= 11
So, it took 11 hours for the change to be -33°F
What is the constant of proportionality?
Answer:
3.5
Step-by-step explanation:
The constant of proportionality is the slope of the line
slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{3.5}{1}[/tex] = 3.5
Answer:
3.5
Step-by-step explanation:
solve each question -15=7n+8n=
Answer:
-15 = 7n + 8n
-15 = 15n
n = -1
plz brainlist me I need it
n = - 1
Step-by-step explanation:- 15 = 7n + 8n
15n = - 15
n = - 15 : 15
n = - 1
(3n+2)(2n–3) find the product simplified
Answer:
6n2−5n−6
Step-by-step explanation:
Answer:
6n^2-5n-6 (btw "6n^2" means its 6n squared )
Step-by-step explanation:
Use the box Method. (Picture shows the box method)
once your done the simplified answer should be 6n^2-5n-6
Q1. when 3b-4a is evaluated for a=0.5 and b=-0.333333333. what is the answer?
Q2. solution for equation
5(x+1)-3(3x-1)=15(x-2)
Q3. which is not equivalent to 4(2x-1)=3(x+1)-2
A. (2)
B. (-2)
C. (0)
D. (-3)
Q4. if a<0 and b<0 which of the following is not positive
A. ab
B. a+b
C. a÷b
D. a.a
E. a:a
Answer:
See below
Step-by-step explanation:
Q1. when 3b-4a is evaluated for a=0.5 and b=-0.333333333. what is the answer?
[tex]3b-4a, a=0.5 \text{ and } b=-0.333333...[/tex]
Once
[tex]$-0.3333333... = -\frac{1}{3} \text{ and } 0.5=\frac{1}{2} $[/tex]
[tex]$3\cdot \left(-\frac{1}{3}\right) - 4 \cdot \frac{1}{2} = -1 - 2 =\boxed{-3}$[/tex]
Q2. solution for equation
[tex]5(x+1)-3(3x-1)=15(x-2)[/tex]
[tex]5x+5-9x+3 = 15x-30[/tex]
[tex]-4x+8 = 15x-30[/tex]
[tex]38 = 19x[/tex]
[tex]$x=\frac{38}{19} = \boxed{2}$[/tex]
Q3. which is not equivalent to [tex]4(2x-1)=3(x+1)-2[/tex]
Just try all the values.
None of them makes the equation equivalent.
[tex]8x-4=3x+1-2[/tex]
[tex]5x=5[/tex]
[tex]\boxed{x=1}[/tex]
Q4. if a<0 and b<0 which of the following is not positive
B. a+b
[tex]a<0 \implies \text{a is negative}[/tex]
[tex]b<0 \implies \text{b is negative}[/tex]
[tex]a \cdot b \implies \text{positive value}[/tex]
[tex]$\frac{a}{b} \implies \text{positive number}$[/tex]
[tex]a:b \text{ is just another notation for division}[/tex]
[tex]a+b \implies \text{negative number}[/tex]
hey please help, thank you!!
Answer:
D
Step-by-step explanation:
So we have the equation:
[tex]A=\frac{1}{2}(12)(3+7)[/tex]
And we want to find out which of the answer choices is not equivalent.
Thus, let's go through each of the choices.
A)
We have:
[tex]\frac{12(3+7)}{2}[/tex]
This is correct.
Our original equation can be written as:
[tex]A=\frac{1}{2}(\frac{12(3+7)}{1})[/tex]
And if we multiply straight across:
[tex]A=\frac{12(3+7)}{2}[/tex]
We'll get choice A. So choice A is correct.
B)
We have:
[tex]6(3+7)[/tex]
This is also correct.
From our original equation:
[tex]A=\frac{1}{2}(12)\cdot(3+7)[/tex]
If we multiply the first term together:
[tex]A=6(3+7)[/tex]
We'll get choice B. So, choice B is correct.
C)
We have:
[tex]0.5(12)(10)[/tex]
This is correct as well.
If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:
[tex]A=\frac{1}{2}(12)(3+7)\\A=0.5(12)(10)[/tex]
So, C is also correct.
D)
We have:
[tex]\frac{12}{2}\times\frac{10}{2}[/tex]
Note that this is not correct.
This attempted to use the distributive property. However, the distribute property does not work for multiplication. For instance:
[tex]3(2+1)\text{ indeed equals } 3(2)+3(1)[/tex]
However:
[tex]3(2\times1)\text{ does not equal} 3(2)\times3(1)[/tex]
So, choice D is not equivalent.
So choice D is our answer :)
If we evaluate it, we will get 30, in contrast to the 60 of the others.
Helppp asap I’m so confused
Answer:
58
Step-by-step explanation:
If k = 6 and j = 2 all you have to do is plug in the numbers
So
5 x 6 x 2 - 2
and then you think of PEMDAS
so multiplication comes first so
5 x 6 x2 = 60 and then
60 - 2 = 58
Albert Works at a farmers market. he recently sold 18 pieces of fruit, 6 or witch were oranges. what is the experimental probability that the nest piece of fruit Albert sells will be an orange?
Answer: [tex]\dfrac{1}{3}[/tex].
Step-by-step explanation:
Experimental probability = [tex]\dfrac{favorable\ outcomes}{Total\ outcomes}[/tex]
Given: Total pieces of fruit = 18 (Total outcomes)
Number of oranges = 6 (Favorable )
Then, the experimental probability that the nest piece of fruit Albert sells will be an orange = [tex]\dfrac{6}{18}[/tex] [By formula of experimental probability]
[tex]=\dfrac{1}{3}[/tex]
Hence, the required probability is [tex]\dfrac{1}{3}[/tex].
10 points! Select the correct answer. Simplify: 6 ÷ 3 + 32 · 4 − 2 A. 22 B. 42 C. 98 D. 36
Answer:
128
Step-by-step explanation:
6 / 3 + 32 * 4 - 2.
We first calculate 6/3 and 32 * 4:
6 / 3 = 2
32 * 4 = 128
Our expression then becomes 2 + 128 - 2.
We can evaluate, getting 128.
Answer:
36
Step-by-step explanation:
6 ÷ 3 + 3^2 · 4 − 2
= 2 + 9 · 4 - 2
= 2 + 36 - 2
= 38 - 2
= 36
-4w=24 w= i really need the answer
Answer:
-4w = 24 then
w = -6
Step-by-step explanation:
Answer:
w = -6
Step-by-step explanation:
Solve for w:
-4 w = 24
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -4 w = 24 by -4:
(-4 w)/(-4) = 24/(-4)
Hint: | Any nonzero number divided by itself is one.
(-4)/(-4) = 1:
w = 24/(-4)
Hint: | Reduce 24/(-4) to lowest terms. Start by finding the GCD of 24 and -4.
The gcd of 24 and -4 is 4, so 24/(-4) = (4×6)/(4 (-1)) = 4/4×6/(-1) = 6/(-1):
w = 6/(-1)
Hint: | Simplify the sign of 6/(-1).
Multiply numerator and denominator of 6/(-1) by -1:
Answer: w = -6
WILL GIVE BRAINLIEST The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles. (Click on the picture below) Part A: What is the area, in square feet, of the shaded region? Part B: What is the area, in square feet, of the nonshaded region?
Answer:
part 1 : 41f[tex]t^{2}[/tex]
part 2: 87f[tex]t^{2}[/tex]
Step-by-step explanation:
part 1 : 8*2=16 1*10=10 10*3*1/2 = 15
16+10+15= 41f[tex]t^{2}[/tex]
part 2: 16*2= 32 2*8= 16 1*6=6 3*6=18 10*3*1/2 =15
32+16+6+18+15= 87f[tex]t^{2}[/tex]
Simplify the exponential expres
5.52

Answer:
6.5
Step-by-step explanation:
5.5x5.5= 30.25. 30.25 divide 30 and 25 by 5 then you get 6.5
y varies inversely with x, y=12 when x=7. Find y when x =10. Picture attached, 15 points and I'll give Brainliest! Due in two hours.
Answer:
y=8.4
Step-by-step explanation:
inverse proportion means y=k/x
k is the constant
y=12, x=7
k=xy ⇒7*12=84
y=84/x
y=84/10
y=8.4
As y varies inversely with x the value of y is 42/5 when x is 10.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, y varies inversely with x.
∴ y = k/x.
12 = k/7.
k = 84.
Now, x = 10.
∴ y = 84/10.
y = 42/5.
learn more about proportion here :
https://brainly.com/question/7096655
#SPJ2
Jim works overtime to save $500 per month for a pickup truck. The savings account Jim uses earns him 5% interest, compounded monthly. In two years, Jim will have in savings. He will have earned in interest on his savings.
Answer:
$1615
Step-by-step explanation:
500(1+.05/1)^24
500(1+.05)^24
500*1.05^24
500*3.23
1615
Translate “four more than twice a number is equal to six less than three times a number”
Answer:
[tex]2n + 4 = 3n - 6[/tex]
Step-by-step explanation:
In order to translate from words into equarion, we just have to know what means what.
Twice a number can be represented as [tex]2n[/tex], adding four to that is [tex]2n + 4[/tex].
3 times a number is [tex]3n[/tex], and 6 less than that is [tex]3n-6[/tex].
So these are equal to each other, we get [tex]2n + 4 = 3n - 6[/tex].
Hope this helped!
Can someone please help me with this question?!?
Answer:
(3, 10, 17, 24....)
Step-by-step explanation:
f(x) = 7x - 4
x = 1:
f(1) = 7*1 - 4 = 7 - 4 = 3
x = 2:
f(2) = 7*2 - 4 = 14 - 4 = 10
x = 3
f(3) = 7*3 - 4 = 21 - 4 = 17
then the sequence is:
(3, 10, 17, 24.....)