Answer:
x = 5, -4
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
x = 5, x = -4
Explanation:
Solve with the quadratic formula
[tex]x_{1,2} =\frac{-(-1)+-\sqrt{(-1)^2-4*1*(-20)} }{2*1}[/tex] = [tex]x_{1,2} = \frac{-(-1)+-(9)}{2*1}[/tex]
Separate the solutions
[tex]x_1 = \frac{-(-1)+9}{2*1} , x_2 = \frac{-(-1)-9}{2*1}[/tex]
[tex]x_1 = 5\\x_2 = -4[/tex]
Fencepost Problem: You need to build one side of a fence that is 12 yards long. This
fence will be built with fenceposts and rails that connect one fencepost to another. If
each fencepost is 1 yard away from the next fencepost, how many fenceposts will be
needed for this side of the fence? How many fenceposts will be needed for a side of
a fence that is N (where N > 0) yards long?
Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play, Kenny buys 2 software packages and 5 months of game
play. Each software package costs $45. If their total cost is $205, what is the cost of one month of game play?
a:b=2:3
b:c= 5:6
Show that a:c=5:9
please help
24÷2[70÷5{4+(12-(12-8÷6×3)}]
Step-by-step explanation:
24÷2[70÷5{4+(12-(12-8÷6×3))}]
12[14{4+(12-(12-4))}]
12[14{4+(12-8)}]
12[14{4+4}]
12[14{8}]
12[112]
1344
total of y and five divided by x
Answer:
Do you mean y + 5 ÷ x? If so then the answer is [tex]y + \frac{5}{x}[/tex]
Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?
Answer:
31 yards
Step-by-step explanation:
If she has $12.83 left, that means she spent $2.17 out of the $15
15 - 12.83 = 2.17
One cent is .01 of a dollar
So that would be $0.07 per yard
To find the number of yards, we need to divide the total amount she spent by the price per yard.
2.17 ÷ 0.07 = 31
x+-2= I need help with this
Answer: x=3
Step-by-step explanation: Hope I helped trust me I am really good at math.
Rewrite in factored form, do not solve
X^2-x-56=0
Answer:
[tex] {x}^{2} - x - 56 = 0 \\ { \boxed{ (x - 8)(x + 7) = 0}}[/tex]
4x - y/2y +x
------- x=3 y=3
Answer:
B
Step-by-step explanation:
4x - y = 4*3 - 3 = 12 - 3 = 9
2y + x = 2*3 + 3 = 6 + 3 = 9
(4x - y) / (2y + x ) = 9/9 = 1
Solve the following equation:
X+m=p-n for p
Answer:
p = m + n + x
Step-by-step explanation:
x + m = p - n
x + m + n = p
p = m + n + x
Can someone please help? Thanks
binary calculation additional 1101+101
Answer:
¡Hello![tex]1101 + 101 = 1202[/tex]
Espero haberte ayudado :)
Use deductive reasoning to prove that x = 10 is the solution equation 3x – 7 = 23. Be sure to
justify each step in your proof.
Answer:
Step-by-step explanation:
3x-7=23
<=> 3x = 23 + 7
<=> 3x = 30
<=> X = 30 ÷ 3
<=> X = 10
Solve for x.
z=(7+x)k
Answer:
x=(z-7k)1/k
Step-by-step explanation:
z=(7+x)k
open the blanket
z=7k+kx
kx=z-7k
x=(z-7k)1/k
Write a function g whose graph represents a translation 3 units down followed by a vertical shrink by a factor of 1/3
of the graph of f(x) = x
If a function 'f' is translated by 'k' units down, image function 'g' will be,
g(x) = h(x) - 3If the function 'g' gets shrink by a factor 'm', the new function 'k' will be,
k(x) = [tex]m[g(x)][/tex] where, 0 < m < 1Following these rules image of the function 'f' given in the question will be g(x) = [tex]\frac{1}{3}x-1[/tex]
Function given in the question is,
f(x) = xIf the function f is translated by 3 units down, image function 'h' will be,
h(x) = f(x) -3
h(x) = x - 3
If the image function is vertically shrink by a factor of k, equation of the image function will be,
g(x) = [tex]k[h(x)-3][/tex]
where, k = [tex]\frac{1}{3}[/tex],
g(x) = [tex]\frac{1}{3}}(x-3)[/tex]
= [tex]\frac{1}{3}x-1[/tex]
Therefore, image function will be [tex]g(x)=\frac{1}{3}x-1[/tex].
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The temperature at 10 A.M. was -7°F.
By noon, the temperature had
dropped 12°F. By 2 P.M., it had
dropped another 5°F. What was the
temperature at 2 P.M.?
°F
Answer:
-24 degrees F
Step-by-step explanation:
12+7+5
if the temperature kept on dropping, then you would have just added them all up.
If each side of tangle is increased by 25 %, then find the percentage increase or decrease in area
Answer:
Step-by-step explanation:
Answer:
If each side of tangle is increased by 25 %, then find the percentage increase or decrease in area
Step-by-step explanation:
The midpoint of UV is (5, -11). The coordinates of one endpoint are U(3,5). Find the coordinates of endpoint V.
The coordinates of endpoint V is (7, -27) if one endpoint is U(3,5) and the midpoint of UV is (5, -11)
Midpoint of a line is a point that divides any line into two equal parts.
The midpoint of two coordinates (x1, y1) and (x2, y2) is expressed as:
[tex]M(X, Y)= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]
Given the following
midpoint of UV = (5, -11)
U = (3, 5)
Get the other coordinate x2 and y2
Based on the formula above:
[tex]X = \frac{x_1+x_2}{2}\\5=\frac{3+x_2}{2}\\10 = 3 + x_2\\x_2 = 10-3\\x_2 = 7[/tex]
Get the other coordinate x2
[tex]Y = \frac{y_1+y_2}{2}\\-11=\frac{5+y_2}{2}\\-22 = 5 + y_2\\y_2 = -22-5\\y_2 = -27[/tex]
This shows that the coordinates of endpoint V is (7, -27)
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Which is the function represented by the table? fon 0 5 6 2 O fx)= x+ 5 o Ax)= X-5 0 f(x)= x+ 1 ix)= X-1
Answer:
The choose a. f(x) = x+5
Step-by-step explanation:
f(-1)= -1+5=4
f(0)=0+5=5
Answer:
f(x)=x+5
Step-by-step explanation:
According to the table, the y values are 5 more than the x values
what is -67- blank =0
Answer:
67
Step-by-step explanation:
If you are looking for x, or blank in this case, you add 67 to -67.
this equals 0.
-67+67=0.
Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?
We need to find the yards of ribbon that Elsa bought with her debit card.
The amount of ribbon that Elsa bought was 31 yards.
Initial amount which is present on the card is [tex]\$15[/tex]
Amount left after spending is [tex]\$12.83[/tex]
Amount spent on ribbon is [tex]15-12.3=\$2.17[/tex]
Converting to cents
[tex]2.17\times 100=217\ \text{cents}[/tex]
Cost of one yard of ribbon is [tex]7\ \text{cents}[/tex]
[tex]1\ \text{yd}=7\ \text{cents}\\\Rightarrow 1\ \text{cent}=\dfrac{1}{7}\ \text{yd}\\\Rightarrow 217\ \text{cents}=\dfrac{217}{7}=31\ \text{yd}[/tex]
The yards of ribbon that Elsa bought is [tex]31\ \text{yards}[/tex].
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https://brainly.com/question/22209177
WILL GIVE BRAINLIEST
(3x – 14) (2x + 10)
Find the value of x.
Answer:
(3x - 14) = (2x+ 10) { Because the angles are vertically opposite to each other}
3x-2x= 14+10
x=24
Donovan is measuring the angles of a triangle. He uses the first two angles and gets 10° and 120° what should be the measurement of the third angle
Answer:
50°
Step-by-step explanation:
The sum of a triangles' angles is 180°
Now set up an equation:
180 - (10 + 120) = ___
180 - 130 = 50°
A patch of six cans of coffee cost $12 how much would 19 cans of coffee cost
Answer:
$38
Step-by-step explanation:
6 cans is $12
1 can is 12/6 = $2
$2 x 19 = $38
Alternative way:
19/6 = 3 1/6
3 1/6 * 12 = 36 + 2 = 38
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)
Answer:
C
Step-by-step explanation:
We want to determine the vertex of the quadratic equation:
[tex]\displaystyle y = -x^2 + 2x + 1[/tex]
Recall that the vertex is given by the formulas:
[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = -1, b = 2, and c = 1.
Determine the x-coordinate of the vertex:
[tex]\displaystyle x = -\frac{(2)}{2(-1)} = 1[/tex]
To determine the y-coordinate, evaluate the function at x = 1:
[tex]\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}[/tex]
In conclusion, the vertex of the quadratic equation is (1, 2).
Hence, our answer is C.
2(x+9)=38
is x=12 viable or non-viable
Answer:
x = 10, so non-viable.
Explanation:
[tex]2(12+9)=42[/tex]
[tex]2(10+9)=38[/tex]
Help (Geomotry)question3.
Answer:
8x+11=14x_1
14x_8x=11+1
6x=12
x=12/6
x=2
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Find the measure of JL.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Given, K is the midpoint of JL. So, JK = KL.
KL = 14x - 1JK = 8x + 11JL = ?________
JL = JK + KL (given that K is the midpoint of JL)
JL = (8x + 11) + (14x - 1)
________
[tex] \large \boxed{\mathfrak{Steps} \downarrow}[/tex]
[tex] \sf( 8 x + 11 ) + ( 14 x - 1 )[/tex]
Combine 8x and 14x to get 22x.
[tex] \sf \: 22x+11-1 [/tex]
Subtract 1 from 11 to get 10.
[tex] \boxed{ \boxed{ \bf22x+10 }}[/tex]
________
Also given that, JK = KL.
So, (8x + 11) = (14x - 1)
⇨ (8x + 11) = (14x - 1)
⇨ 8x + 11 = 14x - 1
⇨ 11 + 1 = 14x - 8x
⇨ 12 = 6x
⇨ x = 12 / 6
⇨ [tex] \boxed{ \boxed{ \bf \: x= 2 }}[/tex]
________
Now, value of JL will be,
JL = 22x + 10
Substitute the value of x.
JL = 22(2) + 10
JL = 44 + 10
[tex] \boxed{ \boxed{ \bf\: JL = 50 }}[/tex]
⇨ So, the value of JL will be 50 units.
how would i write The difference of three times a number and 4 is -19 in a equation?
Hi! I'm happy to help!
To solve this, we first have to understand the terms and the way they arrange the equation.
First, we have the difference of ____and_____=. (the "is" after 4 refers to equals)
We will write this as:
_______-_______= ,because difference means subtraction.
For our first blank, we have 3 times a number. Because we do not know this number, we will use a variable.(n) 3 times a number is 3 multiplied by a number. We can just write 3n, because it represent multiplication.
3n-______=
Now, we see the part of the equation after the "and". We just see 4, so we can insert that here:
3n-4=
Now, we see what is shown after the "is".
We just have -19, so we can insert that here:
3n-4=-19
Now, let's solve (not sure if I need to):
To solve for n, we have to isolate it on one side of the equation. To do this, let's cancel out the -4 on the left side of the equation by adding 4 to both sides:
3n=-15
From here, we need to get rid of the 3 next to the n by dividing both sides by 3:
n=-5
So, we write it as 3n-4=-19, and n=-5.
I hope this was helpful, keep learning! :D
Worked example3 is = 21
Answer:
hahahaha
Step-by-step explanation:
lol
lol
lol
lol
lol
okay
Can the sum of two irrational numbers ever be a rational number? Can the quotient of two irrational numbers ever be a rational number
Answer:
Yes and yes
Step-by-step explanation:
Example:
√2, 1 + √2 and 1 - √2 are all irrational.
(1 + √2) + (1 - √2) = 2
The irrational numbers cancel out, leaving you with 1 + 1 = 2, which is rational.
For quotients, we'll use √2 again.
√2/√2 = 1
1 is rational