If DG = 10, what is the value of x?
X + 1
2x -15
0
G
0 A 12
OB. 8
O C.
4
cole
O D. 14
Answers
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
Given:
[tex]DG = 10[/tex]
See attachment for complete question.
From the attachment, we can conclude that:
[tex]x + 1 + 2x - 15 = DG[/tex]
Substitute 10 for DG
[tex]x + 1 + 2x - 15 = 10[/tex]
Collect Like Terms
[tex]x + 2x = 10 + 15 - 1[/tex]
[tex]3x = 24[/tex]
Solve for x
[tex]x = 24/3[/tex]
[tex]x = 8[/tex]
Related Questions
Write the equation of the line described that passes through (-6,8), perpendicular to y = 5x - 15
PLS ANSWER THIS PLSSSSSSSS.
Answers
Answer:
[tex]y=-\frac{1}{5}x+9\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]y-y_{1} =m(x-x_{1} )\\y-8=-\frac{1}{5} (x+6)\\y-8=-\frac{1}{5}x-\frac{6}{5}\\y=-\frac{1}{5}x+9\frac{1}{5}[/tex]
Consider the linear equation.
32 4y = 18
Which two ordered pairs are on the graph of the linear equation?
Answers
PLEASE PLEASE PLEASE HELPPP MEEE !!! Identify all of the roots of the function.
f(x) = x3 – 5x2 – 2x + 24
Answers
Answer:
4, 3, -2 are the 3 roots of the function
Answer:
-2, 3 & 4
Step-by-step explanation:
The integer roots of the polynomial function f(x)=x^3-5x^2-2x+24f(x)=x
3
−5x
2
−2x+24 can be only among the divisors of free term.
The divisors of free term are:
\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 24.±1,±2,±3, ±4,±6,±8,±12,±24.
Check them:
1. f(1)=1^3-5\cdot 1^2-2\cdot 1+24=18\neq 0f(1)=1
3
−5⋅1
2
−2⋅1+24=18
=0 , 1 is not a root.
2. f(-1)=(-1)^3-5\cdot (-1)^2-2\cdot (-1)+24=20\neq 0f(−1)=(−1)
3
−5⋅(−1)
2
−2⋅(−1)+24=20
=0 , -1 is not a root.
3. f(2)=2^3-5\cdot 2^2-2\cdot 2+24=8\neq 0f(2)=2
3
−5⋅2
2
−2⋅2+24=8
=0 , 2 is not a root.
4. f(-2)=(-2)^3-5\cdot (-2)^2-2\cdot (-2)+24=0f(−2)=(−2)
3
−5⋅(−2)
2
−2⋅(−2)+24=0 , -2 is a root.
5. f(3)=3^3-5\cdot 3^2-2\cdot 3+24=0f(3)=3
3
−5⋅3
2
−2⋅3+24=0 , 3 is a root.
6. f(-3)=(-3)^3-5\cdot (-3)^2-2\cdot (-3)+24=-42\neq 0f(−3)=(−3)
3
−5⋅(−3)
2
−2⋅(−3)+24=−42
=0 , -3 is not a root.
7. f(4)=4^3-5\cdot 4^2-2\cdot 4+24=0f(4)=4
3
−5⋅4
2
−2⋅4+24=0 , 4 is a root.
The cubic function has at most 3 roots, then
Answer: roots of the function are -2, 3 and 4.
HELP PLEASEEEE!!!!! [Easy]
Answers
Answer: 120
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Which expression is equivalent to
Answers
Answer:
a
Step-by-step explanation:
Solve for z. Assume the equation has a solution for z, -p.(d+z) = -2z+59
Answers
Answer:
[tex]z = \boxed{ \frac{59 + pd}{2 - p} }[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Expanding/FactoringStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle -p(d + z) = -2z + 59[/tex]
Step 2: Solve for z
[Distributive Property] Distribute -p:[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd -pz = -2z + 59 \\\end{aligned}[/tex][Addition Property of Equality] Add -2z to both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd -pz = -2z + 59 \\& \rightarrow -pd -pz + 2z = 59 \\\end{aligned}[/tex][Addition Property of Equality] Add -pd to both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\\end{aligned}[/tex]Factor:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\& \rightarrow z(-p + 2) = 59 + pd \\\end{aligned}[/tex][Division Property of Equality] Divide -p + 2 on both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\& \rightarrow z(-p + 2) = 59 + pd \\& \rightarrow z = \boxed{ \frac{59 + pd}{2 - p} } \\\end{aligned}[/tex]
∴ we have solved the given equation for z.
___
Learn more about Algebra I: https://brainly.com/question/16452009
___
Topic: Algebra I
4. Write any number to make the statement is
true?
Answers
Answer:
124<369
Step-by-step explanation:
Solve for x.
x/2 = -5
x = 5/2
x = -5/2
x = -10
Answers
Answer:
x = -10
Step-by-step explanation:
x/2 = -5
Multiply each side by 2
x/2 * 2 = -5 *2
x = -10
What is the answer to 5 (y-10) = -5
Answers
Answer:
5(y-10)=-5
5y-50=-5
5y=45
y=9
Step-by-step explanation:
distribute
add 50 to the other side and undo it from its original side
get the variable by itself by dividing 5 on both sides
then you have your answer
I hope this helps!
Answer:
9
Step-by-step explanation:
5(y-10)=5
divide both sides by 5
50-5=45
45 divided by 5 is 9
Carlo’s Bakery is having a special where he packages 6 muffins together for a low price and he packages 20 cookies together for a low price. His baker realized they sold the same amount of muffins and cookies yesterday due to this great sale. What is the minimum amount of muffins that were sole yesterday? Is this a GCF or LCM problem?
Answers
Answer:
They sold 60 muffins and 60 cookies yesterday
It is a LCM problem
Step-by-step explanation:
6 muffins together
20 cookies together
To sell the same amount of muffins and cookies,
Find the lowest common multiple of 6 muffins and 20 cookies
6 muffins = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78
20 cookies = 40, 60, 80
The lowest common multiple of 6 muffins and 20 cookies is 60
Therefore,
They sold 60 muffins and 60 cookies yesterday
It is a LCM problem
Solve and show how you did 5 (x-1) + 3 = 13
Answers
5x - 5 + 3 = 13
5x -2 = 13
5x = 15
x = 15/5
x = 3
Answer:
x=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(x−1)+3=13
(5)(x)+(5)(−1)+3=13(Distribute)
5x+−5+3=13
(5x)+(−5+3)=13(Combine Like Terms)
5x+−2=13
5x−2=13
Step 2: Add 2 to both sides.
5x−2+2=13+2
5x=15
Step 3: Divide both sides by 5.
5x
5
=
15
5
x=3
Answer:
x=3
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Answers
Solve the inequality.
8(x − 4) > −8
Answers
Answer:
x>3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x > 3
Interval Notation:
( 3 , ∞ )
If two angles have the same measure, then they are right angles true or false
Answers
Answer:
False
Step-by-step explanation:
Answer: true
Step-by-step explanation:
HEY CAN ANYONE ANSWER DIS PLS!
Answers
-6a - 4(a - 3) = -6a + 15
Answers
Step-by-step explanation:
-6a - 4(a - 3) = -6a + 15
=> -6a - 4a + 12 + 6a - 15 = 0
=> -4a - 3 = 0
=> -4a = 3
=> a = -3/4
find the value of a
Answers
Answer:
45
Step-by-step explanation:
81° + a° + 2a° = 180°
81° + 3a = 180°
3a = 180 - 81
3a = 99°
a = 99 ÷ 3
a = 33°
Therefore , a = 33° .
Rachel has a bag that contains a total of 224 red and yellow candies. The ratio of red candies, R , to yellow candies, Y , is 3 to 4.
How many red candies are in Rachel's bag?
Answers
Answer:
96 red
Step-by-step explanation:
96 red, 128 yellow; 3/4=.75; r+y=224; .75y+y=224; 1.75y=224; 224/1.75=128, 224-128=96
The clocks shows when Tisa’s movie started and ended. How long did the last movie last? Plz hurry I need to finish
Answers
Answer:
it last 2 hours and 30 min
Step-by-step explanation:
What is the product of the expression (-2.2)(1.5)(-4.2)
Answers
Answer:
13.86
Step-by-step explanation:
(-2.2)(1.5)(-4.2) =
Use a calculator. Start with -2.2 * 1.5.
= (-3.3)(-4.2)
= 13.86
Answer:13.86
Step-by-step explanation:
((−2.2)(1.5))(−4.2)
=(−3.3)(−4.2)
=13.86
Can someone please help me with my homework???
Answers
Answer:
Step-by-step explanation:
Yes I would be glad to help you
The distance from Phoenix to Tucson is 120 miles. The distance from Phoenix to Flagstaff is about 21.7% longer. To the nearest mile, what is the distance from Phoenix to flagstaff?
Answers
Answer:
146.04
Step-by-step explanation:
120×21.7%= 26.04
21.7% of 120 miles
120+26.04= 146.04
Answer plzzzzzzzzzzzzzzz
Answers
Answer:
1 63636363 /1000000000
Step-by-step explanation:
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Someone help I really need it.
Answers
Answer:
c
Step-by-step explanation:
C
12 = x
12 times 12 = 144
Duke is a part-time student at Horizon Community College. He currently has 22 credits, and he plans to take 6 credits per semester until he is finished.
Duke's friend Kila is also a student at the college. She has 4 credits and plans to take 12 credits per semester. After how many semesters will Duke and
Kila have the same number of credits?
Answers
Answer:
3
Step-by-step explanation:
22=6c=4+12c
-6c -6c
22=4+6c
-4 -4
18=6c
/6 /6
3=c
The Babysitter's Block charges a rate of $15 an hour per child plus an initial fee of $25 per household. Super Sitters charges a flat rate of $20 an hour per child.
For hours ______ of service, both babysitting services would cost the same.
Answers
15x + 25 = 20x
Subtract 15x from both sides:
25 = 5x
Divide both sides by 5 to isolate x:
x = 5
Answer:
i think its 7500
Step-by-step explanation:
According to the system of equations above, what is
the value of x ?
Need someone to explain how to do it
Answers
Answer:
7
Step-by-step explanation:
try substituting
crossmultyply
x=-9-y
substituting
-9-y=-25+9
y=16
substituting
pick one of the equations
x+y=-9
x-16=-9
x=-9+16
x=7
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Evaluate the expression when x=3 , y=−4 , and z=−6.
z−2x/y
Answers
Answer:
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distribute the value of x,y, and z, on the given questions, and then you do multiplication, next addition, lastly lowest term.
I need sum help please and thanks :)
Answers
Answer:
6/16n is your answer I think