Answer:
2. y = -1/2x - 1
Step-by-step explanation:
First we want to find the slope of the line.
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values using two points (-4, 1) & (2, -2)
(-2 - 1) / (2 - (-4))
Simplify the parentheses.
= (-2 - 1) / (2 + 4)
= (-3) / (6)
Simplify the fraction.
-3/6
= -1/2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -1/2x + b
b is the y-intercept when the line crosses the y-axis.
From the graph, we can see that the point on the y-axis is (0, -1)
Therefore, b is -1.
Plug this into the equation.
y = -1/2x - 1
Hope this helps!
Answer:
Points :-
( -2,0)(0,-1)Calculation of Slope :-
m = 0+1/-2-0m = 1/-2m = -1Y intercept :-
y intercept = -1Using Slope Intercept Form :-
y = mx + c y = -1/2x + -1POSSIBLE PONTS 10
6. Which of the following visual representations correctly displays a relationship between sets of real numbers?
F
H.
Irrational
Real
Rational
Irrational
Rational
Real
Real
Rational Real Irrational
Rational
Irrational
Answer:
hey there buddy
Step-by-step explanation:
Avery is currently making $14 per hour at her job. Her boss gives her a 15% raise for showing good work ethic.
If she works 40 hours per week, how much more will Avery be making than before her 15% raise?
A.$15.00
B.$280.00
C.$84.00
D.$116.00
Answer:
C) $84
Step-by-step explanation:
40 x 14 = 560
she made $560 prior to raise
14 x 1.15 = 16.10
her new hourly rate is $16.10
40 x 16.1 = 644
she now earns $644 per week
644 - 560 = 84
I need correct answer please!:)
Answer:
G. Angle NKL is congruent to angle ZWX is the answer
Step-by-step explanation:
Hope it helps you:)
Can somebody please explain to me what tessellation is?
Answer:
A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps.
Step-by-step explanation:
Find three consecutive even integers such that the square of the first is 80 less than the square of the third. [Only an algebraic solution will be accepted.]
Answer:
First number = 19
Second consecutive = 20
Third consecutive = 21
Step-by-step explanation:
Assume;
First number = x
So,
Second consecutive = x + 1
Third consecutive = x + 1 + 1 = x + 2
So,
(x + 2)² - x² = 80
x² + 2(2)(x) + 2² - x² = 80
x² + 4x + 4 - x² = 80
4x + 4 = 80
4x = 80 - 4
4x = 76
x = 76 / 4
x = 19
First number = x
First number = 19
Second consecutive = x + 1
Second consecutive = 19 + 1
Second consecutive = 20
Third consecutive = x + 2
Third consecutive = 19 + 2
Third consecutive = 21
A vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. What is the volume of the solid part of the vase
Q9 A gardener wants to build this greenhouse in the top right hand corner of her garden.
This is a sketch plan of her garden.
2.5m
5.5m
greenhouse
2m
here
5.5m
2.5m
She will leave a 50cm space between the greenhouse and the edge of the garden.
She wants a scaled plan of the garden showing the position of the greenhouse.
Draw a scale plan. Put the scale you use on the plan.
Answer:
See attachment for drawing
Step-by-step explanation:
Given
See attachment for sketch of plan
Required
Draw a scaled plan
From the question, the garden has the following dimensions.
5.5m, 5.5m, 4m and 2.5m
Using a scale of 1m : 50 cm units, the above measurements will be represented as:
[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]
[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]
From the question, we understand that there will be 50cm space between the greenhouse and the edge.
On the scale drawing, this will be represented as:
[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]
From the question, the green house has the following dimensions.
2m, 2.5m
On the scale drawing, this will be represented as:
[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]
See attachment 2 for scale drawing
Toy cars cost $2. If Anna bought 4 toy cars and 5 toy airplanes and spent $38, how
much does a toy airplane cost?
Answer: A toy airplane costs $6
Step-by-step explanation: Because 4 toy cars cost $8 , then there are $30 for 5 toy planes. One toy plane cost 30/5 = $6
Find the slope of the line represented by the table. Show all work
Work out the value of x when 2^30/8^9=2^x step by step explan please
please i need explanation >"
Step-by-step explanation:
Can someone pls help me
Answer:
around 5,-5
Step-by-step explanation:
since its gona move 3 units up and 3 units left
Write the equation of a line that goes through the points (2, -2) and (1, -8)
show work i will appreciate it
Answer:
y=6x-14
Step-by-step explanation:
m=-8-(-2)/1-2
m=-8+2/1-2
m=-6/-1
m=6
y-y1=m(x-x1)
y-(-2)=6(x-2)
y+2=6x-12
y=6x-2-12
y=6x-14
The population of Bengal tigers in a region of India can be modeled by the function P = 450(0.85), where P is the
population and I is the number of years since 2000.
What is the Bengal tiger population in 2000?
and by what percent does the tiger population decrease each year?
Answer:
(a) The population in 2000 is 450
(b) 15% decreases each year
Step-by-step explanation:
Given
[tex]P = 450(0.85)^t[/tex] --- since 2000
[tex]P \to Population[/tex]
[tex]t \to years[/tex]
Solving (a): The population in 2000
First calculate t
[tex]t = 2000 - 2000[/tex] --- years since 200
[tex]t = 0[/tex]
So, we have:
[tex]P = 450(0.85)^t[/tex]
[tex]P = 450 * 0.85^0[/tex]
[tex]P = 450 * 1[/tex]
[tex]P = 450[/tex]
Solving (b): Rate of population decrease
A function that decreases is represented as:
[tex]P(t) = a(1 - r)^t[/tex]
Where
[tex]r \to[/tex] rate of decrement
Compare [tex]P(t) = a(1 - r)^t[/tex] and [tex]P = 450(0.85)^t[/tex]
[tex]1- r = 0.85[/tex]
Collect like terms
[tex]r = 1 - 0.85[/tex]
[tex]r = 0.15[/tex]
Express as percentage
[tex]r = 15\%[/tex]
Find the approximant radius of a circle with a circumference of 34.48 inches. Use 3.14 for π Round to the nearest hundredth
Answer:
5.49 inches
Step-by-step explanation:
Given data
Circumference= 34.48inches
The expression for the circumference of a circle is
C= 2πr
Make r the subject of formula
r= C/2π
r= 34.48/2*3.14
r= 34.48/6.28
r= 5.49 inches
Hence the radius is 5.49 inches
what is the exterior angle theorem
Answer:
Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
Step-by-step explanation:
which expression is equivalent to -3.5(4x - 3) ? And why?
The BEEEST answer will get brainliest. Also, I NEED HELP, I'm STUCK!
A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.
The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.
The margin of error of the population proportion is found using half the range.
What is the interval estimate of the true population proportion?
A.)(0.24, 0.48)
B.)(0.30, 0.42)
C.)(0.22, 0.50)
D.)(0.20, 0.52)
Answer:
(0.30, 0.42)
Step-by-step explanation:
i took the test :)
1. There are two small rectangles in this picture that make one large rectangle. How
could
you
find the area of the large rectangle?
10
My thoughts/workspace
3
5
What is the area of the large rectangle?
units?
Answer:
Finding the area of a large rectangle is A = l × b
Step-by-step explanation:
A= Area, while I=length and B= the base, the way to find the area of the big one is by finding the area of the small ones first then adding them together,
Example: (a=lxb) + (a=lxb) = Area of big rectangle
Dan walks around the block. The block is 200 feet wide and 800 feet long. How many feet did he walk?
Answer:
2000 feet
Step-by-step explanation:
200*2=400
800*2=1600
400+1600=2000
Andrea used 4 1/3 yards of material to make a dress she has 1 1/4 yards left over how much material did Andrea start with
Answer:
[tex]1\frac{7}{12}\quad[/tex] yards [tex]\left(\mathrm{Decimal:\quad }\:1.58333\dots \right)[/tex]
Step-by-step explanation:
To find how much Andrea started with, subtraction is needed. To subtract, we need to set up fractions;
[tex]4\frac{1}{3}-\frac{11}{4}[/tex]
Convert the mixed number to an improper fraction: [tex]a\frac{b}{c} = \frac{a \cdot c+b }{c}[/tex][tex]4\frac{1}{3}=\frac{4\cdot 3+1}{3}[/tex]
[tex]=\frac{13}{3}[/tex]
[tex]=\frac{13}{3}-\frac{11}{4}[/tex]
Least common multiplier: 3,4 = 12
Adjust fractions based on the LCM
[tex]=\frac{52}{12}-\frac{33}{12}[/tex]
Apply the fraction rule: [tex]\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]\frac{52}{12}-\frac{33}{12}=\frac{52-33}{12}[/tex]
[tex]=\frac{52-33}{12}[/tex]
Add the numbers: [tex]52-33=19[/tex]
[tex]=\frac{19}{12}[/tex]
Convert the improper fraction to mixed numbers: [tex]Quotient \frac{Remainder}{Divisor}[/tex][tex]\frac{19}{12}=1\frac{7}{12}[/tex]
[tex]=1\frac{7}{12}[/tex]
Therefore, Andrea started with [tex]1\frac{7}{12}[/tex] yard material.
At the end of 7 years, an investment with a discount rate of 12% is worth $300. What is the present value?
The present value is $ _____
Step-by-step explanation:
Apr=Annual × percentage× rate
7years × 12% × $300
= 36000.
The present value of the annuity will be $135.
What is present value?
The current value of a certain amount in the future by methods of charging compounded interest is known as present value. By using the given information, the present value can be calculated as,
[tex]\rm Present\ Value= FV\ x\ \dfrac{1}{(1+r)^n}\\\\\rm Present\ Value=300\ x\ \dfrac{1}{(1+0.07)^1^2}\\\\\rm Present\ Value=\$135.70[/tex]
Hence, the present value is calculated as above.
Learn more about present value here:
https://brainly.com/question/17322936
#SPJ2
Re-write the quadratic function below in Standard Form
y = 9(x - 1)(x + 3)
Square contains 4cm. find the area of the shape.
Answer:
Step-by-step explanation:
'Area of a square' formula is A = s^2, where s in the length of one side.
Here, with s = 4 cm, A = 16 cm^2
The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism.
Answer:
Me too, I need this 12
Step-by-step explanation:
Ughh
Help pleaseeeeeeeeeee
Answer:
Step-by-step explanation:
-3,5 to find it first go over then go up and you have your answer
Answer:
The answer is (5, -3)
Hope this helps!
Mark me brainliest if I'm right :)
Lines L and M are parallel
LY
3
2/5
16
38° 7
- М
Find : mz6
Enter the number that
belongs in the green box
?
Someone help me please?
Answer:
38 degrees
Step-by-step explanation:
Angle 6 and the angle that we already know the measurement of are vertical angles.
And vertical angles are always equal to each other, so that means that the measure of angle 6 is also 38 degrees.
Solve for j jj. j − 2 + 7 = − 12 −2 j +7=
Answer:
j= -10/3
Step-by-step explanation:
j - 2 + 7 = - 12 - 2j + 7
*add -2 and 7 to get 5
j + 5 = -12 - 2j + 7
*add -12 and 7 to get -5
j + 5 = -5 - 2j
*add 2j to both sides
3j + 5 = -5
*subtract 5 from both sides
3j = -10
*divide both sides by 3
j= -10/3
PLS HELP ILL PUT U AS BRAINLIST AND FOLLOW U
Answer:
76cm^2
Step-by-step explanation:
Can be divided in three parts
Part 1; Area= 6×2
=12cm^2
Part 2; Area= 2×2
=4cm^2
Part 3; Area= 10×6
=60cm^2
Add them; 60+4+12
76
Answer:
area 1
10x6
=60
area 2
2x4
=8
area 3
2x4
=8
total area is 60+8+8
total area is 76m²
Find each measure below.
arc SR=
Answer:
Measure of arc SR = 62°
Step-by-step explanation:
By using the property,
"Measure of an arc of the circle is double of the measure of the angle subtended by the arch."
m∠SUR = [tex]\frac{1}{2}m(\text{arc SR})[/tex]
m(arc SR) = 2m∠SUR
= 2(31°)
= 62°
#2: Grace needs to buy a new printer. The printer she wants has a price tag of $60. She has a 25% off coupon and $50 in her bank account. If she must pay 6.75% sales tax, will she have enough money to buy the printer? If yes, how much will she have left over? If no, how much is she short?
Answer:
yes
Step-by-step explanation:
$60×25%=$15...so the coupon she have worth $15 but she also have $50
so she has an overall of $65 she can use
but she must pay sales tax:$60×6,75%=$4.05
so then the overall money that she must pay for the printer is $60+$4.05=$64.05
so then the difference of her money and the price of the printer is:
$65-$64.05=$0.95
$0.95 is left over