X = 4 + y
2x – 3y = 1
We know x = 4 + y (1)
So 2x - 3y = 1
<=> 2.(4 + y) - 3y = 1
<=> 8 + 2y - 3y = 1
<=> 8 - y = 1
<=> y = 8 - 1
<=> y = 7 (2)
move (2) to (1) : x = 7 + 4 = 11
ok done. Thank to me :>
Expand.
Your answer should be a polynomial in standard form.
(x - 5)(x – 4) =
Answer:
[tex]x^2-9x+20[/tex]
Step-by-step explanation:
Use the distributive property.
[tex](x-5)(x-4)[/tex]
[tex]x^2-5x-4x+20[/tex]
[tex]x^2-9x+20[/tex]
This is already in standard form.
Hope this helps!
Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 dollar annual fee and the other which charges 3 dollars per book he borrows.
Here's a graph that shows a system of equations for this scenario where x is the number of books Aaden borrows and y is the total cost of the subscription.
A graph with two lines and a point. Line A is labeled y equals 96. Line B is labeled y equals 3 times x. Point S is below line B and above line A.
What does point SSS represent in this context?
Choose 1 answer:
(Choice A)
A
A number of books and their cost using the subscription that charges per book
(Choice B)
B
A number of books and their cost using the subscription with the annual fee
(Choice C)
C
A number of books and their cost where both subscriptions cost the same
(Choice D)
D
A number of books and their cost that is not possible with either subscription
I sent a screen shot of the graph
Answer:
A
Step-by-step explanation:
A number of books and their cost where the subscription with the annual fee costs less. hope it helps and take care ✌
Point S represents the number of books and their cost using the subscription that charges per book
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Based on the given graph, point S represents the number of books and their cost using the subscription that charges per book (Option A).
This is because point S is located below line B, which represents the total cost of the subscription with a variable cost per book, and above line A, which represents the total cost of the subscription with a fixed annual fee.
Therefore,
Point S represents a combination of a certain number of books borrowed and the corresponding total cost of the subscription using the variable cost per book option.
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When a cold drink is taken from a refrigerator, its temperature is . After minutes in a room its temperature has increased to . What is the temperature of the drink after minutes
Answer:
Step-by-step explanation:
Can someone help me pls I’ll give brainliest to whoever is right no scam links or your getting reported only answer if you know
Answer: 3b + 125 = 157.97
Step-by-step explanation:
The two things contributing to the total cost are the cost of the bags of dog food and the adoption fee, so they need to be added together.
There are 3 bags of dog food at an unknown price, so we need to multiply 3 by an unknown value represented by the variable b.
The $125 adoption fee should be added to the price of the bags of dog food, so add 125. This creates an equation of 3b + 125 = 157.97
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4
Answer:
It's the 2nd graph
Step-by-step explanation:
Think about it. The large barrel weighs 25 pounds. There are 20 gallons of water. Now look at the graphs 1 more time.
I have an exercise that asks me: answer true or false, are the Italian regions washed by the sea a whole?
Answer:
Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...
Step-by-step explanation:
Answer:
Is false because the Italian regions are partly bathed by the sea
Step-by-step explanation:
help and maybe explain how to solve
Answer:
1) x = 55°
2) x = 30°
3) x = 68°
Step-by-step explanation:
In the given set of questions where it requires to find the unknown value of x to prove that v ||w:
Definition of Consecutive Interior Angles Theorem:The Consecutive Interior Angles Theorem states that for any given two parallel lines cut by a transversal, the measures of a pair of consecutive interior angles have a sum of 180°. Hence, the pair of consecutive interior angles are supplementary.
Question 11.) In the given diagram, the two consective interior angles are m ∠70° and m ∠ 2x°. As defined by the Consecutive Interior Angles Theorem:
m ∠70° + m ∠ 2x° = 180°
Solve for x algebraically:
70° + 2x° = 180°
Subtract 70° from both sides:
70° - 70° + 2x° = 180° - 70°
2x° = 110°
Divide both sides by 2 to solve for x:
[tex]\LARGE\mathsf{\frac {2x^{\circ}}{2}\:=\:\frac{110^{\circ}}{2}}[/tex]
x = 55°
Verify whether the value for x is valid:
70° + 2x° = 180°
70° + 2(55)° = 180°
70° + 110° = 180°
180° = 180° (True statement).
Question 2:2) In the given diagram, the two consective interior angles are m ∠2x° and m ∠ 4x°. As defined by the Consecutive Interior Angles Theorem:
m ∠2x° + m ∠ 4x° = 180°
Solve for x algebraically:
2x° + 4x° = 180°
Add like terms:
6x° = 180°
Divide both sides by 6 to solve for x:
[tex]\LARGE\mathsf{\frac {6x^{\circ}}{6}\:=\:\frac{180^{\circ}}{6}}[/tex]
x = 30°
Question 3:The Consecutive Interior Angles Theorem still applies in this question. The two consective interior angles are m ∠90° and m ∠ (x + 22)°. As defined by the Consecutive Interior Angles Theorem:
m ∠90° + m ∠ (x + 22)° = 180°
Solve for x algebraically:
90° + x° + 22 = 180°
Combine like terms:
112° + x° = 180°
Subtract 112° from both sides to isolate x:
112° - 112° + x° = 180° - 112°
x = 68°
Verify whether the value for x is valid:
90° + x° + 22 = 180°
90° + 68° + 22 = 180°
180° = 180° (True statement).
Parallel Lines
Transform a Trapezoid
Two lines or line segments that are parallel in the preimage will be parallel in the image in a rigid
transformation. Critique the validity of the statement.
Provide evidence that supports this statement or that contradicts it from your investigations using the
Dynamic Geometry Tool.
Answer:
Writing formal proofs to prove conjectures about lines, angles and triangles ... parallel to each other or on the same line—and since the altitudes of both ...
By the Trapezoid Midsegment Theorem, the midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.Step-by-step explanation:
Hope this helps
What numbers could be at each letter?
A=
B=
C=
D=
E=
Answer:
A= 1
B= 2
C = 3
D = 4
E = 5
And so on going on for the 26 letters. But no clue since you said "could"
Find the slope and the y−intercept of the line in the graph.
The slope is .
The y−intercept is .
Please be very specific
Very confused
Help please??
Answer:
Step-by-step explanation:
Using the slope-intercept form:
y=mx+bIn the equation y=mx+b, b is the coordinate on the y-axis where the graph crosses the y-axis and m denotes the slope of the line. The x and y represents all the (x, y) order pairs that graph points.
y=3x+4Substitute x for 0 to find the pair (0, Y). y=3(0)+4 Since 3 times 0 is 0, y will equal 4.
So put 4 under the 0.y=3(-1)+4 ⇒-1,1 y=1
y=3(0)+4 ⇒0,4 y=4
y=3(1)+4 ⇒ 1, 7 y=7
y=3(2)+4 ⇒ 2, 10 y=10
y=3(3)+4 ⇒ 3, 13 y=13
It is normal for some newborn babies to lose weight in their first week of life. Baby Todd's birth weight was 10 pounds. One week after being born, he is 10% lighter. What is Todd's current weight? pounds Submit
Answer:
9 pounds
Step-by-step explanation:
100% - 10% = 90%
90% -> .9
[Solving] 10 * .9 = 9
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
9 pounds
Step-by-step explanation:
10% of 10 pounds is 1 pound so baby Todd's current weight is 9 pounds.
What is the inverse of g(x)=-2/x-8
ang mga gan yan Hindi ko alam Kase may mudule din ako bb
find the percentage change of $20 to $25
Answer:
25%
Step-by-step explanation:
Percent change formula:
[tex]C = \frac{x_{2} - x_{1}}{x_1}[/tex]
x_1 = initial value
x_2 = final value
[tex]\frac{25-20}{20} = \frac{5}{20} = \frac{1}{4}[/tex]
1/4 = 0.25
25 PERCENT INCREASE
it cant be descrase
2 1/4 divided by 3/4 i need it fast tho-
Answer:
3
Step-by-step explanation:
We have to divide 2 1/4 by 3/4
First convert 2 1/4 to an improper fraction
2 1/4 = (2*4 + 1)/4 = 9/4
Divide 9/4 by 3/4
(9/4)/(3/4)
The denominator of both the numerator and denominator are the same and can be canceled. This gives 9/3
Now cancel the common factor 3, which gives 3
The required value of 2 1/4 divided by 3/4 is 3
Answer:
Step-by-step explanation:
Use KCF method
Keep the first
Change division to multiplication
Flip the second
[tex]2\dfrac{1}{4}=\dfrac{9}{4}\\\\\[/tex]
9/4 ÷ 3/4
[tex]= \dfrac{9}{4}*\dfrac{4}{3}\\\\= 3[/tex]
Help!! Solve for X round to the nearest 10th
Step-by-step explanation:
remember : the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) with the sides being always opposite of the angles.
so,
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 11/sin(58)
x = 11×sin(32)/sin(58) = 6.873562871...
rounded x = 6.9
Liza bought 5.035 kg of chicken. Write its weight in words.
Answer:
five point zero three five
A polygon undergoes a combined transformation of T3.2) (Ro, 90). The vertex (5,2) of the polygon maps to what final image?
А
(-4,8)
B.
(-2,5)
С
(1,7)
D
(5.-3)
The final image of the vertex of the polygon after a translation and rotation would be (- 4, 8).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
The preimage of the vertex of a polygon is, (5, 2).
Now, After a transformation of T(3, 2) the image of the vertex of the polygon would be, (5 + 3, 2 + 2) ⇒ (8, 4).
Now, Another transformation is the rotation of 90° (counterclockwise as it is positive).
We know a rotation of 90° counterclockwise to (x, y) becomes (- y, x).
Therefore, The vertex of the polygon will be at (- 4, 8).
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Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit
earned at that price, y. Write a quadratic regression equation for this set of data,
rounding all coefficients to the nearest tenth. Using this equation, find the profit, to
the nearest dollar, for a selling price of 14.25 dollars.
Regression equations are used to represent the relationship between the x and y variables.
The quadratic regression equation is [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]The profit for a selling price of $14.25 is $812To determine the quadratic regression equation, we make use of a graphic calculator
Using a graphing calculator, we have the quadratic regression equation to be [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]
When the selling price is $14.25, it means that:
[tex]\mathbf{x = 14.25}[/tex]
So, we have:
[tex]\mathbf{y =-6.407 \times 14.25^2 +216.721 \times 14.25 -975.561}[/tex]
Evaluate the exponents
[tex]\mathbf{y =-6.407 \times 203.0625+216.721 \times 14.25 -975.561}[/tex]
Evaluate the products
[tex]\mathbf{y =-1301.0214375+3088.27425 -975.561}[/tex]
Evaluate like terms
[tex]\mathbf{y =811.6918125}[/tex]
Approximate to the nearest dollar
[tex]\mathbf{y =812}[/tex]
Hence, the profit for a selling price of $14.25 is $812
Read more about regression equations at:
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(100,160), (500,680) in slope intercept form
Answer:
520/400
so y = 520/400 + b
Step-by-step explanation:
If a cheetah can travel 120 meters in just 4 seconds, then how many meter can it travel in 25 seconds?
Answer:
750 meters
Step-by-step explanation:
120 meters/4 seconds = 30 meters per second
30 meters per second * 25 seconds = 750 meters
(you could calculate 3 * 25 first to get 75 and then add the zero at the end. It's the faster way.)
Answer:
x = 750 m
Step-by-step explanation:
Write and solve a equation of ratios:
120 m 4 sec
------------- = -------------
x 25 sec
Inverting this equation yields
x 25 sec
-------------- = -------------
120 m 4 sec
Cross-multiplication yields (4 sec)x = (120 m)(25 sec). This yields:
3000 m-sec
x = -------------------- = 750 meters
4 sec
Note that the same result can be obtained by multiplying (120 m) by (25/4).
Given the formula:
[tex]x = \frac{1 + a}{1 - a} [/tex]
Solve for "a" when x=12.
[tex]12 = \frac{1+a}{1-a} => 12(1-a)= 1+ a \\=> 12 -12a = 1 + a => 12a+1 = 12-1 \\=> 13a = 11 => a= \frac{11}{13}[/tex]
ok done. Thank to me :>
Help me please what's the scale factor of the dilation simplified!!!
Answer:
large/small = 4small/large = 1/4Step-by-step explanation:
The small square extends from x=1 to x=4, so its side length is 4-1 = 3.
The large square extends from x=4 to x=16, so its side length is 16-4 = 12.
The scale factor is ...
large/small = 12/3 = 4
or
small/large = 3/12 = 1/4
We don't know which way you're scaling, so choose the factor appropriate to your question.
point (3,4) what is the point after the transformations?
rotation 180° around origin
reflection over the y axis
translate 3 up and 2 left
Answer:
in the picture
hope this helps! :D
What is the slope of the line ?
Answer:
[tex]m=\frac{4}{5}[/tex]
Step-by-step explanation:
You can calculate the slope with just 2 points, so find 2 points on the line that land perfectly on the grid.
I'll use (-2, 0) and (3, 4) here
To calculate slope:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
where (x1, y1) is your first point and (x2, y2) is your second. Technically they can go in any order, but I think its generally easier to consider first-to-last as left-to-right.
Plug in those 2 points and solve:
[tex]m=\frac{4-0}{3--2}\\m=\frac{4}{5}[/tex]
Think of slope as rise over run. A slope of [tex]\frac{4}{5}[/tex] means it rises 4, and goes over 5. It's also literally rise over run, as the top number (rise) is over the bottom number (run).
Dan earns £7.90 per hour. How much will he earn for 6 hours work?
Answer:
$47.4
Step-by-step explanation:
Answer:
Step-by-step explanation:
The earning will increase for 6 hours. So, we have to multiply 7.90 by 6
Earnings after 6 hours = 6 * 7.90 = £ 47.40
Please help with this
Answer:
the answer is x=107° you're welcome
Assume there are 20 people in a room, including you. You must shake hands with everyone else in the room. How many hands will you shake
Answer:
19, I'm pretty sure?
please no links!!
and please help me
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
1. 18 markers per packet.2. 6 minutes per video (actual is 6 minutes 5 seconds) 3. 16 plants per row.4. 12 muffins per batchHope it helps!
Brainliest pls!
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What is the equation of the line graphed below? Write your answer in slope-intercept form. (y = mx + b)
Don't forget to simply if you can!
Answer:
y = 2x + 2
Step-by-step explanation:
Slope = (change in y-values)/(change in x-values)
Slope = (-6 - 6)/(-4 - 2)
Slope = -12/-6
Slope = 2
Use the slope = 2 and point (2, 6) and substitute into y = mx + b to solve for b.
y = mx + b
6 = 2(2) + b
6 = 4 + b
b = 2
The equation is y = 2x + 2