Answers
Answer:
[tex]y<-\frac{4}{3}x+5[/tex]
Step-by-step explanation:
Since, the given line in the graph is a dotted, line will represent an inequality with no sign of equal to (=).
Since, the shaded area is below the dotted line, inequality will have the sign less than (<).
Therefore, equation of the inequality will be in the form of,
y < mx + b
Here, m = slope of the line
b = y-intercept
Slope of the line passing through two points (0, 5) and (3, 1),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{5-1}{0-3}[/tex]
= [tex]-\frac{4}{3}[/tex]
Y-intercept (at x = 0),
b = 5
Therefore, equation of the inequality will be,
[tex]y<-\frac{4}{3}x+5[/tex]
Related Questions
What are the solutions to the following system of equations? Select the correct answer below.
y = x2 - 4x + 3
2x + y = 6
A) (-1,8) and (3,0)
B) (-1, 3) and (8,0)
C) (0,8) and (3, -1)
D) (3, 8) and (-1,0)
Answers
Answer:
A
Step-by-step explanation:
we can conclude from the second equation that when
2x + y = 6 then y = 6 - 2x. so instead of y in the first equation we use 6 - 2x.
now the equation would look like this : 6 - 2x = x^2 - 4x + 3 .
then we bring everything to one side of the equation : x^2 - 2x - 3 .
now we'll have two results for x ( because x^2 - 2x - 3 = 0 has 2 answers )
one of them is -1 and other one is 3.
if we put them in the first equation we will have 8 and 0 for y.
so A is the answer
Someone please help me with this
Answers
Answer:
The area of the shaded figure is:
20 units^2Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
Area of a rectangle = long * wideArea of a rectangle = 6 * 4Area of a rectangle = 24 units^2How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
Area of a triangle = [tex]\frac{wide*height}{2}[/tex]Area of a triangle = [tex]\frac{4*2}{2}[/tex]Area of a triangle =[tex]\frac{8}{2}[/tex]Area of a triangle = 4 units^2In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
Area of the shaded figure = Area of the rectangle - Area of the triangleArea of the shaded figure = 24 units^2 - 4 units^2Area of the shaded figure = 20 units^2I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.
ack plots points showing equivalent ratios on the coordinate plane below.
m c 0 16- 1. g
Which ordered pair, if plotted above, would represent a ratio that is equivalent to those shown?
(1, 9)
(3, 9)
(4, 18)
Answers
Answer:
(4, 18)
Step-by-step explanation:
Is A ABC-A DEP? If so, identify the similarity postulate or theorem that
applies.
A. Similar - SAS
B. Similar - SSS
C. Similar - AA
D. Cannot be determined
Answers
Answer:
The similarity postulate that applies is;
C. Similar - AA
Step-by-step explanation:
The given parameters are;
ΔABC with angles ∠BAC = 30°, ∠ABC = 100° and ∠BCA = 50°
ΔDEF with angles ∠EDF = 30°, ∠DEF = 100° and ∠DFE = 50°
Therefore, the interior angles of ΔABC are equal to the corresponding interior angles of ΔDEF, which satisfies the Angle-Angle (AA) condition for similarity of two triangles based on the congruency of two interior angles of one triangle to two interior angles of the other triangle.
Write down the next two terms in these quadratic sequences:
1.
9, 13, 19, 27,
2.
-5, 0, 9, 22,
Answers
and i’m not sure about the 2nd one
how do I simplify the expression -2.4+0.5f-14-4
Answers
9514 1404 393
Answer:
0.5f -20.4
Step-by-step explanation:
There is only one term containing a variable (0.5f), but there are three constant terms. The constant terms can be combined by finding their sum in the usual way.
-2.4 +0.5f -14 -4
= 0.5f -(2.4 +14 +4)
= 0.5f -20.4
nancy is making cupcakes for her schools bake sale. after 2 hours of work she has 41 cupcakes after 7 hours she has 141 cupcakes. write an equation to model the number of cupcakes y for cupcakes x for hours
Answers
y = 20x + 1
Carrie spent
1
4
of her allowance on a shirt,
1
3
of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?
Equation:
1
4
a +
1
3
a + 8 = 22
Carrie’s allowance was $.
Answers
Answer:
$24
Step-by-step explanation:
Let the total amount of her allowance = a
We are told that she spent $8 on belt
And the total amount she spent = $22
The Fraction of allowance spent on
Shirt = 1/4
Skirt = 1/3
Hence, the equation is given as:
1/4 × a + 1/3 × a + $8 = $22
Collect like terms
a/4 + a/3 = $22 - $8
a/4 + a/3 = $14
The Lowest Common Denominator = 12
3a + 4a/12 = $14
7a/12 = $14
Cross Multiply
7a = $14 × 12
7a = $168
a = $168/7
a = $24
Therefore, her total allowance = $24
Answer:
its 24 i took the quiz :)
Gerri is working on a project that need to be finish by Friday so far she has completed 1/3 of the project How much of the project does she have to finish By Friday . Answer is . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Answers
Answer:
Part of incomplete work = 2/3 of project
Step-by-step explanation:
Given:
Part of work completed = 1/3 of project
Find:
Part of incomplete work
Computation:
Part of incomplete work = 1 - Part of work completed
Part of incomplete work = 1 - 1/3
Part of incomplete work = 2/3 of project
Show your work to evaluate g(f(x)) if f(x)=x+2/2 and g(x)=1x−1
Answers
Answer:
x/2.
Step-by-step explanation:
We replace the x in g(x) by f(x):
g(f(x)) = 1((x + 2/2) - 1
= (x + 2)/2 - 1
= (x + 2 - 2)/2
= x/2.
Answer:
x/2
Step-by-step explanation:
g(f(x)) = (x+2/2) - 1
= [tex]\frac{x+2}{2}[/tex] - [tex]\frac{2}{2}[/tex]
= (x + 2 - 2) / 2
= x/2
Simplify the expression below.
Answers
Answer:
[tex]\displaystyle 6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{7^2 - 13}{24 - 18}[/tex]
Step 2: Evaluate
[Fraction] Exponents: [tex]\displaystyle \frac{49 - 13}{24 - 18}[/tex][Fraction] Subtract: [tex]\displaystyle \frac{36}{6}[/tex][Fraction] Divide: [tex]\displaystyle 6[/tex]Given 2m+n=r, solve for m.
Answers
Answer:
m= r-n/2
Step-by-step explanation:
2m+n=r
2m=r-n
m=r-n/2
Can someone explain how to do this I'm lost.
Answers
Step-by-step explanation:
[tex]\huge\bold\purple{ 5 }[/tex]
[tex]\huge\bold\purple{ explanation }[/tex]
[tex]90(right \: angle) = (9x + 1) + (7x + 9) \\ 90 = 16x + 10 \\ 16x = 90 - 10 = 80 \\ x = 80 \div 16 \\ x = 5| [/tex]
A chocolate bar is 3/4 of an inch long. If it is divided into pieces that are 3/8 of an inch long, then how many pieces is that?
Answers
Answer:
2 pieces
Step-by-step explanation:
3/4 = 6/8 (multiply by 2/2)
[tex]\frac{6}{8}/\frac{3}{8} =\frac{6}{8} * \frac{8}{3} = \frac{6}{3} =2pieces[/tex]
Solve the equation for all values of x by completing the square.
x² – 18x= -66
Answers
Answer:
x=12.87298334
Step-by-step explanation:
Our friend purchased a medium pizza for $10.31 with a 30% off coupon. What is the price of a medium pizza without a coupon? Do not include units (dollars) in your answer.
Answers
Answer:
the price of a medium pizza without a coupon is 14.73
Step-by-step explanation:
The computation of the price of a medium pizza without a coupon is given below:
Given that
The Price of medium pizza be 10.31 after considering the 30% off coupon
That means it is 70% value
So the 100% value would be
= 10.31 × 1 ÷ 0.70
= 14.73
hence, the price of a medium pizza without a coupon is 14.73
In a room of 200 people, 22% have blue eyes. How many people have blue eyes?
Answers
Answer: 44 people
Step-by-step explanation: 200 x .22=44
Help me with this too please hrlp
Answers
Answer:
3 * 10^4
Step-by-step explanation:
Here, we want to make a division
We want to divide 9 * 10^2 by 3 * 10^-2
That would be;
(9 * 10^2)/(3 * 10^-2)
= 9/3 * 10^2-(-2)
= 3 * 10^4
Taylor is buying a chest freezer that had an original price of $145 but is
advertised at 25% off. Sales tax of 6.75% is applied to the discounted price.
How much will Taylor pay for the chest freezer?
a. $108.75 b. $116.09
C. $7.34
d. $108.08
Answers
Answer:B
Step-by-step explanation:
It's 116.09
what is the equation that passes through the given point and has the given slope (-2, -1); m= -3
Answers
Answer:
y = - 3x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3, then
y = - 3x + c ← is the partial equation
To find c substitute (- 2, - 1) into the partial equation
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = - 3x - 7 ← equation of line
Answer:
The equation would be y=-3x-7
Step-by-step explanation:
Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°.
Approximately how tall is the tree?
Answers
Answer:
[tex]\boxed {\boxed {\sf About \ 28.36 \ meters }}[/tex]
Step-by-step explanation:
Assuming the tree is perpendicular to the ground, we can use the right triangle trigonometric ratios to find the tree's height.
sin(θ)= opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacentNow, let's draw a diagram. We know Aiko is 5 meters from the base of the tree. From there, the angle to the top of the tree is 80 degrees. We are looking for x, the tree's height. The diagram attached is not to scale.
We base the sides off of the angle. x is opposite of 80 degrees and 5 is adjacent. Therefore we must use tangent.
[tex]tan(\Theta)=\frac{opposite}{adjacent}[/tex]
opposite=x adjacent=5 mθ=80Substitute in the known variables.
[tex]tan(80)=\frac{x}{5 \ m }[/tex]
We want to find x, the height of the tree. Therefore we need to isolate that variable.
x is being divided and the inverse operation is multiplication. Multiply both sides of the equation by 5 meters.
[tex]5 \ m* tan(80)=\frac{x}{5 \ m }* 5 \ m[/tex]
[tex]5 \ m* tan(80)=x[/tex]
[tex]5 \ m *5.67128182=x[/tex]
[tex]28.3564091 \ m = x[/tex]
The question asks for an approximation, so let's round to the nearest hundredth.
The 6 in the thousandth place tells us to round the 5 to a 6.
[tex]28.36 \ m \approx x[/tex]
The tree is about 28.36 meters tall.
John sales model boats from a booth at a local fair. He purchases each model boat from a distributor for five dollars and the local fair chargers him a baby and $80 John cells each model boat for $50. Write a system of equations to represent the situation
Answers
Answer and explanation:
Profit from sale of model boats = Sales -costs(costs of goods purchases + expenses or charges by the local fair)
John's profit from the sale of model boats can be represented by the equation:
P= 50x-(5x+80)
Where P is profit from the sale of the model boats and x is number of model boats bought and sold. The 80 is constant as it is a fixed cost paid to the local fair.
For example if John buys and sells 20 model boats, he would make profit of:
Substitute x=20 in equation above
P= 50×20-(5×20+80)
P=1000-180
P=$820
It could be said that John is in a very profitable business and his profit is also dependent on volume of sales because the lower his sales the closer he gets to making a loss and not profit
Read the caption please, thank u so much!!!
Answers
Answer:
[tex]\huge\boxed{\sf S = 8}[/tex]
Step-by-step explanation:
Opposite sides and angles of a ║gm are equal.
So,
6S - 8 = 3S + 16
6S - 3S = 16 + 8
3S = 24
Divide 3 to both sides
S = 24 / 3
S = 8
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807this is a personal question what do you do if your little sister will not stop bothering you and you are home allowen?
Answers
Answer: first try seeing what she wants and if that doesn’t work. either put on her favorite show with some snacks or go somewhere where you know she can’t find you. ☺️
Step-by-step explanation:
Please help!!:
1. Write the equation of a line that is perpendicular to y= -1/3 x+6 and passes through the point (3,5).
2. Write the equation of a line that is parallel to y = 2x – 4 and passes through the point (-3, 4).
Answers
-1/3*b=-1
b=3
5=3(3)+b
5=9+b
b=-4
equation of the line is y=3x-4
2) parallel lines have the same gradient
4=2(-3)+b
4=-6+b
b=10
equation of the line is y=2x-10
g(t) = (t 1)2 = 20.25
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
Answers
Answer:
The zeros are (-5.5, 0) and (3.5, 0).
Step-by-step explanation:
g(t) = (t + 1)² − 20.25
0 = (t + 1)² − 20.25
20.25 = (t + 1)²
±4.5 = t + 1
t = -1 ± 4.5
t = -5.5 or 3.5
Helppp +star & +15 points
Answers
Answer:
y=1
Step-by-step explanation:
the slope is 0 and the y-intercept is 1, so y=0x+1, y=1
In an electronics store, an iPod is $75. The sales tax is 7.5%. What is the cost of the iPod?
Answers
Answer:
$80.625
Step-by-step explanation:
$75 for the iPod times 0.075 = 5.625 which is the sales tax.
Then $75 (Cost of iPod) + 5.625 (Sales Tax) = $80.625 (Price of the iPod including the sales tax)
Sorry, if I am wrong. I tried my best and Hope this helps ;)
Help anyone? I need the questions worked out it doesn’t matter if you give me only one question
Answers
y2-y1/x2-x1. For A and B y2=4, y1=-4, x2=2 and x1=-2... Now u plug them in them, 4-(-4)/2-(-2)= 8/4=2. Slope equals 2. :)
Find the Error What error did the student make when solving the equation: 5x + 6 = 66 5x - 6 = 66 -6 5x = 60 5*5x= 60*5 X = 300 The student subtracted 6 from both sides instead of adding Student multiplied by 5 Vinstead of dividing by 5 Student got the wrong answer when subtracting 66-6 The student did not correctly eliminate the variable from one side of the equation
Answers
Answer:
The student multiplied by 5 instead of dividing by 5
Step-by-step explanation:
At the fourth step, the student multiplied each side by 5 rather than dividing it by 5. The opposite opperation from multiplication is division so they should have divided 5x and 60 by 5 here instead of multiplying it by 5. If this equation was done correctly, the correct answer would be x=12.