Answer:
(x, y) = (2, -5)
Step-by-step explanation:
The coefficient of y in the second equation is an integer multiple of the coefficient in the first equation, so it is convenient to eliminate y. Subtracting 3 times the first equation from the second, we have ...
(-2x +3y) -3(-7x +y) = (-19) -3(-19)
-2x +3y +21x -3y = -19 +57 . . . . . . . eliminate parentheses
19x = 38 . . . . . . . . . simplify
x = 2 . . . . . . . divide by 19
-7(2) +y = -19 . . . . . substitute for x in the first equation
y = -5 . . . . . . add 14
The solution is (x, y) = (2, -5).
What value of x makes this equation true? 12x minus 15 = 6 minus 3x.
Answer:
x = 1.4
Step-by-step explanation:
12x - 15 = 6 - 3x
12x + 3x = 6 + 15
15x = 21
x = 1.4
Check:
12(1.4) - 15 = 1.8
6 - 3 (1.4) = 1.8
The value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4
Given:
12x minus 15 = 6 minus 3x
12x - 15 = 6 - 3x
collect like terms
12x + 3x = 6 + 15
15x = 21
x = 21 / 15
x = 1.4
Therefore, the value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4
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Is the relationship between the temperature scales proportional?Why or why not?
Answer: No, see explanation below
Step-by-step explanation:
For the relationship between the temperature scales to be proportional, the ratio (the number we get when dividing the given temperature in Celsius by the temperature in Fahrenheit) has to be constant.
[tex]\frac{0}{32}=0\\\frac{10}{50}=0.2\\\frac{20}{68}=0.29[/tex]
In the example, I give, we can see that is not the case. It applies to any value as well, therefore the relationship between the temperature scales is NOT proportional
- is dilated to be ' ' ' '. The original is the center of dilation.
What scale factor is used to create the dilation?
HELP ASAP!! FULL RATING IF AWNSER!
ANSWER ALL PLEASE!!
IM STUCK!
Answer:
1: 3)
2: 2)
4: 3)
5: 4)
6: 4)
A nurse gave an 8 year old child a dose of 6 mL of medicine. What would be the adult equivalent of this dosage
If 4/3 liters of water are enough to water 2/5 of the plants in the house, how som:
much water is necessary to water all the plants in the house? *
Answer:Group of answer choices 2/5 x ? = 4/3 ? X 2/5 = 4/3 4/3 x ? = 2/5 ? ÷ 5/2 = 3/4 4/3 ÷ 2/3 = ?
Step-by-step explanation:If 4/3 liters of water is enough to water 2/5 of the plants in the house, how much water is necessary to water all the plants in the house? Select all of the multiplication and division equations that represent this situation.
Answer:
3 1/3 liters of water
Step-by-step explanation:
4/3 is to 2/5
What 1 is to x
(4/3) / (2/5) = 10/3 = 3 1/3
A copy machine makes 32 copies per minute. How long does it take to make 144 copies?
?????
Using the digits 1 to 9, without repeating any numbers, place a digit in each box that will create 3 equivalent ratios.
6:3 = 14:7 = 58:29
hope this is helpful!
I need help please :(
Answer:
x = 7
Step-by-step explanation:
Given:
∠DEF = 117°
∠DEG = (12x + 1)°
∠GEF = (5x - 3)°
Find:
value of x
Computation:
∠DEF = ∠DEG + ∠GEF
117° = (12x + 1)° + (5x - 3)°
117° = 17 x - 2
x = 7
Answer:
7
Step-by-step explanation:
(12x + 1) + (5x - 3) = 117
17x - 2 = 117 Combine like terms
17x = 119 Add 2 to both sides
x = 7 Divide both sides by 17
a school community had planned to reduced the number of grade 9 students per class room by constructing additional class rooms. how ever ,they constructed 4 less rooms than they planned.as the result the number of students per class was 10 more than they planned. if there are 1200 grade 9 students in the school,determine the current number of class rooms and the number of students per class
help me plsssssssssssssssssssssssss
when -3 - 2m < 0 => -2m < 3 => m > -3/2
ANSWER: C
Ok done. Thank to me :>
Please help! I would triple the points
Answer:
1033.33
Step-by-step explanation:
If you take 30 percent of a number and get 310, then what is that number? In other words, you know that 30 percent of a number is 310 and you want to know what that initial number is.
To solve this problem you multiply 310 by 100 and then divide the total by 30 as follows: (310 x 100) / 30
When we put that into our calculator, we get the following answer: 1033.33
You're welcome :)
Answer:1033.33
Step-by-step explanation: i am changing to the right answer I am not copying I just don’t want people seeing the wrong answer
Can you please help me with this question
Answer:
y = 1/2x-3
Step-by-step explanation:
y=mx+b, where m is slope and b is y-int and x and y are variables.
y = 1/2x-3
Plot your point at (8,1) and then use your slope and rise 1 go over 2 then draw your line.
Hope that helps
what is 17/20 - 4/15
Hello there, today you gave us the problem [tex]\frac{17}{20}-\frac{4}{15}[/tex],
Our first step is to give them common denominators, which is [tex]\frac{51}{60}-\frac{16}{60}[/tex], solve it and we get [tex]\frac{35}{60}[/tex] as our answer, which can be simplified down to [tex]\frac{7}{12}[/tex]
What is the product of 41 and 4.4 \times 10^54.4×105expressed in scientific notation?
Answer:
4
Step-by-step explanation:
The solution is 1.804 x 10⁷
The product of the two numbers is given by the equation A = 1.804 x 10⁷
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the product of two numbers be A
Now , the equation will be
Let the first number be P = 41
Let the second number be Q = 4.4 x 10⁵
The value of Q = 4.4 x 100000
The value of Q = 440000
The product of two numbers A = P x Q
Substituting the values in the equation , we get
The product of two numbers A = 41 x 440000
On simplifying the equation , we get
The product of two numbers A = 1,80,40,000
So , the value of A = 1.804 x 10⁷
Hence , the product of numbers is A = 1.804 x 10⁷
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find the zeros of each function. State the multiplicity of multiple zeros y=2x^3+x^2-x
Answer:
Step-by-step explanation:
To find the roots/zeros, set
2
x
3
+
x
2
−
x
equal to
0
and solve.
2
x
3
+
x
2
−
x
=
0
Factor the left side of the equation.
Tap for more steps...
x
(
2
x
−
1
)
(
x
+
1
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
=
0
2
x
−
1
=
0
x
+
1
=
0
Set the first factor equal to
0
.
x
=
0
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
1
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
The final solution is all the values that make
x
(
2
x
−
1
)
(
x
+
1
)
=
0
true. The multiplicity of a root is the number of times the root appears.
x
=
0
(Multiplicity of
1
)
x
=
1
2
(Multiplicity of
1
)
x
=
−
1
(Multiplicity of
1
)
Answer:
-1, 0, 1/2
Step-by-step explanation:
The function can be factored as ...
y = x(2x^2 +x -1)
y = x(2x -1)(x +1)
The factors are unique, so each zero has multiplicity 1. The zeros are the values of x that make the factors zero:
-1, 0, 1/2 . . . . zeros of the function; each with multiplicity 1
Answer 1 question. Thanms
Let's solve your inequality step-by-step.
[tex]11+\frac{a}{2}\le 16[/tex]
Step 1: Simplify both sides of the inequality.
[tex]\frac{1}{2}a+11 \le 16[/tex]
Step 2: Subtract 11 from both sides.
[tex]\frac{1}{2}a+11-11\le 16-11[/tex]
[tex]\frac{1}{2}a\le 5[/tex]
Step 3: Multiply both sides by 2.
[tex]2\cdot \left(\frac{1}{2}a\right)\le (2)*(5)[/tex]
[tex]a\le 10[/tex]
Answer:a≤10What is the answer to this?
Answer:
option b.)y=1/4x-7/2.....
1
The blue print of Vanessa's new home was drawn with a scale factor of 1 foot = 0.33 inch. The
actual length of the living room was to measure 12 feet. Determine the length of the living
room shown in the blueprint.
The length of the living room in the blue print is 3.96 inch
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the given question
We have,
1foot = 0.33 inch
The actual length of the living room =12feet.
Therefore,
The length of the living room in the blue print = 12 × 0.33 = 3.96inch
Hence, the length of the living room in the blue print is 3.96 inch.
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what is -10 - 2g = -2(3g - 1) + 4
Determine the intercepts of the line.
Answer:
y intercept= 12
x intercept = 4
Step-by-step explanation:
It is just one interception because the equation is linear
Take the greatest possible factor out of the square root.
Square root of 80
Answer:
4.
Step-by-step explanation:
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. Furthermore, the greatest perfect square on this list is 16 and the square root of 16 is 4.
The greatest factor of 80 is
We have to determine, the greatest possible factor out of the square root of 80.
According to the question
The square root of the greatest perfect square from the list of all factors of 80.
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
The greatest perfect square on this list is 16 and the square root of 16 is 4.
To determine the greatest square root of 80 following all the steps given below.
The square root of 80,
[tex]\rm = \sqrt{80} \\\\= \sqrt{2\times 2\times 2 \times 2\times 2\times 5} \\\\= 2 \times 2\times \sqrt{5} \\\\= 4\sqrt{5}[/tex]
Hence, The greatest factor of 80 is 4.
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What's the area of a triangle and circle?
Answer:
Formula?
Step-by-step explanation:
Triangle = Area = 1/2bh
circle = Area = pi x r^2
Hope it helps
if f(x) = 2x-7 and g(x)= x2-5, find g[f(5)]
Answer:
4x-12
Step-by-step explanation:
2x-5[2x-7(5)}=2x+2x-7-5
4x-12
negative integers are added to each other
how will you know if two variables are proportional on a graph?
Answer:
Compare the constants of the two variables.
Changed at the same rate, or by the same factor, then they are directly proportional. For example, since the x-coordinates changed by a factor of 2 while the y-coordinates also changed by a factor of 2, the two variables are directly proportional.
Step-by-step explanation:
Which expression is equivalent to 2-5?
○
A 1/5 x 1/5
B (-5)(-5)
C1/2x1/2x 1/2 x 1/2
D (-2)(-2)(-2)(-2)(-2)
Answer:
non of them are there any other answers
Step-by-step explanation:
2-5=-3
1/5*1/5=1/25
(-5)(-5)=25
1/2*1/2*1/2*1/2=1/16
(-2)(-2)(-2)(-2)(-2)=-32
What is a bond and how do you make money from it?
Answer:
Bonds are among a number of investments known as fixed-income securities. They are debt obligations, meaning that the investor loans a sum of money (the principal) to a company or a government for a set period of time, and in return receives a series of interest payments (the yield).
Step-by-step explanation:
Line N passes through the points (-1, 4) and (-1, -4).
5
4
3-
2
1
-5 -4 -3 -2 -14
1
2 3 4 5
x
X
اسة.
5
3
ܛܝܝܝ
5
Which is true of line N?
Answer:
i don't know btw is this eighth grade
Please help i cant figure it out will mark branliest
Answer:
b
Step-by-step explanation:
hope it helped u take a look at the picture u attached
Simplify the expression 6C5.
a.6.
b. 24
C. 30
d. 720
=====================================================
Explanation:
Plug n = 6 and r = 5 into the nCr combination formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_6 C _5 = \frac{6!}{5!*(6-5)!}\\\\_6 C _5 = \frac{6!}{5!*1!}\\\\_6 C _5 = \frac{6*5*4*3*2*1}{5*4*3*2*1*1}\\\\_6 C _5 = \frac{720}{120}\\\\_6 C _5 = 6\\\\[/tex]
Or you could use the shortcut
[tex]_n C _{n-1} = n\\\\[/tex]
Yet another path you could take is to use Pascal's Triangle. Locate the row that starts with 1,6,... and then locate the second to last item. That value in the triangle is 6.
A real world interpretation is to consider having 6 people and you are selecting 5 of them to form a group where order doesn't matter. How many ways are there to do this? Well there are 6 such ways because there are 6 ways to leave someone out of the group.