[tex] \text{Given : 2x - y = 4 and x + 2y = 7}[/tex]
[tex] \text{Solution : according to the question here we are provided with} \\ \text{two equations separately. So, let's name them as eq(1) and eq(2).} \\ \text{ The rest is followed as we continue to get to our goal} \\ \\ \sf {1}^{st} \: equation : \\ \quad\dashrightarrow \frak{2x - y = 4} \\ \\ \quad \dashrightarrow \frak{ \red{x = \frac{y + 4}{2} }} \qquad \sf ...eq(1) \\ \rm{ now \: \: as \:per \: our \: plan \: we \: need \: to \: get \: eq(2) } \\ \\ \sf{ {2}^{nd} \:equation} : \\ \quad\dashrightarrow \frak{ x + 2y = 7} \\ \\ \quad\dashrightarrow \frak{ \red{y = \frac{7 - x}{2}}} \qquad \sf ...eq(2) \\ \\ \text{Now, finding x and y} \\ \\ \underline{ \frak{Finding \: x}}\\ \\ \quad \hookrightarrow \frak{x = \frac{y + 4}{2}} \\ \\ \quad \hookrightarrow \frak{2x = \frac{7 - x}{2} + 4} \\ \\ \quad \hookrightarrow \frak{2x = \frac{7 - x + 8}{2}} \\ \\ \quad \hookrightarrow \frak{2x = \frac{1 - x}{2}} \\ \\\quad \hookrightarrow \frak{4x = 1 - x} \\ \\ \quad \hookrightarrow \frak{5x = 1} \\ \\\quad \star \qquad \underline{ \boxed{ \green{ \frak{x = \frac{1}{5}}}}} \\ \\ \underline{ \frak{Finding \: y}} \\ \\ \quad \hookrightarrow \frak{y = \frac{7 - x}{2}} \\ \\ \hookrightarrow \frak{2y = 7 - \frac{1}{5} } \\ \\ \hookrightarrow \frak{2y = \frac{35 - 1}{5} } \\ \\ \hookrightarrow \frak{2y = \frac{34}{5}} \\ \\ \hookrightarrow \frak{y = \frac{34}{5} \times \frac{1}{2}} \\ \\ \hookrightarrow \frak{y = \frac{17}{5} } \\ \\ \star \qquad \underline{ \boxed{ \frak{ \green{y = 3 \frac{2}{5} }}}}[/tex]
Grafica
Y=X^2.
Y=-x^2.
Y=x^2 +2
Y=X^2-2
Y=2x^2
Answer:
y=x^2 is a parabola when y is x squared
y=-x^2 is the first one but when it is flipped over the x axis
y=x^2+2 is the first one shifted two up
y=x^2-2 is the third one but shifted 4 units down
y=2x^2 is the first one but two times the square of x
Step-by-step explanation:
Find a translation that has the same effect as the composition of translations below. (x,y) → (X + 2, Y + 2) followed by (x,y)=(x-1,y+5)
Choose the correct answer below.
O A. (x,y)=(x+3.y + 7)
OB. (x,y)=(x + 1 y + 7)
OC. (x,y)=(x + 1,y-3)
OD. (x,y)=(X+3.y-3)
urgent will mark brainliest!!!
B) (X + 1, Y + 7)
We start with X + 2, we then take away X - 1, we are left with X + 1.
We start with Y + 2, we then add Y + 5, we are left with Y + 7.
The only option that has both X + 1 and Y + 7 is B.
I hope this helps! :)
The area of a triangle is 30sq. the perimeter of the triangle is 10in. write an inequality that represents the missing side of the triangle.
Is it supposed to be 30 divided by 10?
HELP
If i can get 2 bags of Doritos and its 2 for $7.00. How much is for 1 bag of Doritos?
Answer:
$3.50 for 1 bag
Step-by-step explanation:
To Find How much is for 1 bag of Doritos Divided $7.00 by 2
Which gives you 3.50
Therefore for 1 bag of Doritos = $3.50
help................................................
Answer:
C. 16ft by 4ft
Step-by-step explanation:
What does the y-intercept represent in this situation? The weight of oats, in pounds, in the final mixture. The weight of hay, in pounds in the final mixture. The amount of protein the feed has if no oats are added. The amount of protein the feed has if no hay is added.
Your welcome!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The y-intercept in the situation given represents: C. The amount of protein the feed has if no oats are added.
What is the Y-intercept of a Linear Function?The y-intercept of a linear function is the initial value or the value of y when x equals 0.
The initial value in this situation is the amount of protein in the feed when the amount of oats added is 0.
Therefore, the y-intercept represents: C. The amount of protein the feed has if no oats are added.
Learn more about the y-intercept on:
https://brainly.com/question/10700419
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Complete the expression that represents the prime factorization of 492.
Type the factors in the increasing order.
492 = 2 × 2×
×
Answer:
The prime factors of 492 are 2, 3, 41.
Step-by-step explanation:
→ 492 = 2 × 2 × ? × ?
→ 492 = 2 × 2 × 3 × 41
Let's check,
→ 492 = (2 × 2) × (3 × 41)
→ 492 = 4 × 123
→ 492 = 492
→ LHS = RHS
Hence, prime factors of 492 are 2, 3, 41.
Mr. Tanaka is loading his boat with many identical 45-pound boxes. Mr. Tanaka weighs 190 pounds. The boat can carry at most 1,000 pounds. If each box is fully-filled, how many boxes can he load on the boat?
Write an inequality that represents this situation.
Answer:
there should be 14, 45 pound boxes
Step-by-step explanation:
1000-190= 810
810/45=14 boxes
What is the y-intercept in the equation y = 4x-3?
Answer:
-3
Step-by-step explanation:
y = mx + b
b is the y-intercept
Answer:
(0,-3)
This the answer hope this help
Evaluate.
(2a - 3) ÷ (b / 4) when a = 12 and b = - 20
Answer:
-4.2
Step-by-step explanation:
First me put a and b in
2x12
24
(24 - 3) = 21
b: -20
-20 divided by 4 = -5
21 divided by -5
Answer= -4.2
Find the nth term of this quadratic sequence 4, 7, 12, 19, 28
Answer:
The answer is 84
Step-by-step explanation:
4,7,12,19,28,39,52,67,84
what kind of cup that doesn't hold water
Step-by-step explanation:
cupcake that doesn't hold the water.
HELP I WILL GIVE BRAINLEST
Answer:
the answer is A
Step-by-step explanation:
Sin is for a and in this picture a is y
The equation y=0.2x models a proportional relationship. Complete the table and graph the data.
y=0.2x
#0
[tex]\\ \sf\longmapsto y=0.2(0)=0[/tex]
(x,y)=(0,0)#5
[tex]\\ \sf\longmapsto y=0.2(5)=1[/tex]
(x,y)=(5,1)#10
[tex]\\ \sf\longmapsto y=0.2(10)=2[/tex]
(x,y)=(10,2)#15
[tex]\\ \sf\longmapsto y=15(0.2)=3[/tex]
(x,y)=(15,3)#20
[tex]\\ \sf\longmapsto y=0.2(20)=4[/tex]
(x,y)=(20,4)Step-by-step explanation:
The given Eqⁿ is, [tex]{ \purple{ \sf{y = 0.2x}}}[/tex]
[tex]{ \star}[/tex]Put x = 0, then
[tex]{ \purple{ \sf{y = 0.2(0) = 0}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y )\: = (0,0)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 5, then
[tex]{ \purple{ \sf{y = 0.2(5) = 1}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (5,1)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 10, then
[tex]{ \purple{ \sf{y = 0.2(10) = 2}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x ,\: y) \: = (10,2)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 15, then
[tex]{ \purple{ \sf{y = 0.2(15) = 3}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (15,3)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 20, then
[tex]{ \purple{ \sf{y = 0.2(20) = 4}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (20,4)}}}}[/tex]
8 I am 8 yeard old, my father is24 years older than iam ,how old was my father 5 years ago?
Step-by-step explanation:
He was 19 years old when you were 5
It is currently 0°C outside. The temperature is dropping 2.5°C every hour. Identify an inequality that represents the number of hours that must pass for the temperature to drop below −20°C.
Answer:
-2.5x < -20
Step-by-step explanation:
x represents the number of hours that must pass for the temperature to drop below −20°C.
simplify:...... (3x⁴)³
Answer:
27[tex]x^{12}[/tex]
Step-by-step explanation:
Long way: 3x^4)^3 means that 3x^4 will be multiply by itself three times
[tex](3x^{4})^3 = (3x^{4})(3x^{4} )(3x^{4} ) =27x^{12}[/tex]
Short way [tex]3^{3}[/tex] ([tex]x^{4(3)}[/tex] ) = 27[tex]x^{12}[/tex]
ROUND TO THE NEAREST WHOLE NUMBER
16968.3
Answer:
16968
Step-by-step explanation:
Answer:
16,968
Hope this helps :)
Given: F(x)=3 x^2 + 1, G(x)= 2 x-3 , H(x)=x
F(G(x))=
Answer:
f(g(x)) = 12x² - 36x + 28
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x) )
= f(2x - 3)
= 3(2x - 3)² + 1 ← expand factor using FOIL
= 3(4x² - 12x + 9) + 1 ← distribute parenthesis by 3
= 12x² - 36x + 27 + 1 ← collect like terms
= 12x² - 36x + 28
1) x + x + 8x + 12 =
x + x + 8x + 12 = ...
= 2x + 8x + 12
= 10x + 12
~aljabar
x + x + 8x + 12
= 1x + 1x + 8 + 12
= (1 + 1 + 8)x + 12
= 10x + 12 ✔️
:)
What is the slope of the line that passes through the two following points?
(2,-5),(-1,4)
- 1/3
- -1/3
- 3
- -3
Hey, do you know what 1+1+*6*6*8*7*1 is?
Answer:
it should be 2017 1+1*6*6*8*7*1
Which table shows the values that would result from using the function machine?
Answer:
A
Step-by-step explanation:
Evaluate f(2). This gives you 2^2 + 1, which is 5. That eliminates C and D.
f(3) = 3^2 + 1 = 10. This must mean that A is the answer.
what is the degree measure of the missing angle? 84 34 114 24
Answer:
24°
Step-by-step explanation:
We are given that m∠EFG is a right angle, and that m∠EFH = 66°
m∠EFH + m∠HFG = m∠EFG
Substitute values and solve.
66 + m∠HFG = 90
m∠HFG = 24°
how many tires would a car factory need to make for 45 cars
Answer:
180
Step-by-step explanation:
(assuming each car has 4 tires)
45*4= 180
Hope this helps! :)
Help please……………………………..
Answer:
Diagram number 3 is not a function.
Step-by-step explanation:
It isn't a function because C goes to 2 different numbers.
Explanation:
For choice (3), the input C maps to more than one output (The values 1 and 3 at the same time). A function must have each input map to one and only one output. So this is why relation (3) is not a function.
The other answer choices (1), (2) and (4) have each input point to exactly one output. So these are functions that can be ruled out.
Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans, and
potatoes. His plan for the field layout in feet is shown in the figure below. Use the figure and your
knowledge of polynomials, perimeter and area to solve the following questions.
1. Write a polynomial expression that represents the area of the potato field.
2. Simplify a polynomial expression that represents the area of the potato field.
3. Explain why the calculated area would be useful to Farmer Bob.
The simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72
From the diagram shown, we can see that the area of the potato field can be represented as a scaled factor of the area of the farm because they are both rectangular in nature.
Area of the potato field = length * width
Length = x^2 + 7x + 12
Width = x + 6
Substitute into the formula to get the required polynomial
Area of the potato field = (x^2 + 7x + 12)(x+6)
Area of the potato field = x^3+6x^2+7x^2+42x+12x+72
Area of the potato field = x^3 + 13x^2 + 54x + 72
Hence the simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72
Learn more on polynomial expression here: https://brainly.com/question/21534285
pls help will mark as brainlist
A has 12 sides B is 5 sides
Step-by-step explanation:
Answer:
A. 12 B. 5
Step-by-step explanation:
First we will do B.
Interior is 108 degrees Lets make an equation, 108={(n-2)*180}/n
Let's simplify
Now we have 108n=180n-360
180n-108n=360
Now we have 72n=360
n=5.
Now time for the first one.
150={(n-2)*180}/n
150=180n-360
180n-150n=360
30n=360
n=12
What is the total weight of the steel gate
Answer:
Simple. since we know the weight per given length, we simply need to know the total length of all steel used. the perimeter is easy as it is given, 2×12 and 2×5 for a total perimeter of 24+10 or 34m. now the diagonals must be calculated...
since this is a right triangle, one could easily use a trig function to calculate, but to keep it simple pathag. theorum a2+b2=c2, where the 2 means squared. rearrange to c=sqrt(a2+b2), or 12 squared + 5 squared...giving 144+25=169. then take square rt of 169. this is length of one diagonal, remember to multiply by 2 since there are two diagonal pieces. add this to total perimeter of 34m above.
now that total length is known, simply multiply by weight/m for total weight
**remember units, as problems become complex keeping up with units can help u know if you are using right solving methods, like in heat transfer, energy equations, etc.
-2.7 = a - 3.3
what’s the operation
is it an inverse or a reciprocal
what does A=
Help ASAP
Answer:
a= 0.6
Step-by-step explanation:
This is the answer...........
Answer:
It is reciprocal.
A = 0.6
Step-by-step explanation:
Reciprocal” means “equality,”
To find the A. Use APE or Additive Property of Equality
-2. 7 = a - 3.3
-2.7 + 3.3 = a
0. 6 = a