what is the equation of the line with slope -3 and y-intercept 6? Express your answer in slope-intercept form.
Answer:
y=-3x+6
Step-by-step explanation:
Answer:
y = -3x + 6
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
SO
m = -3
b = 6
Thus,
y = -3x + 6
you eat 1/4 of a bag that is half full how much is left
Please help with the attatched!
Answer: a + b = 40
[tex](3+\sqrt{5})(7-6\sqrt{5})=3.7+7\sqrt{5}-3.6\sqrt{5}-6\sqrt{5}.\sqrt{5}\\\\=21+6.5-11\sqrt{5}\\\\=51-11\sqrt{5}[/tex]
because [tex](3+\sqrt{5})(7-6\sqrt{5})=a+b\sqrt{5}[/tex]
=> a = 51
b = -11
=> a + b = 51 -11 =40
Step-by-step explanation:
Answer:
[tex]a = -9 - 11\sqrt{5} - \sqrt{5}b[/tex]
a = 51
b= -11
The perimeter of a football field is 920 feet. The width is 60 feet more than one-third of the length. What are the dimensions of a football field?
Given:
Perimeter of a football field = 920 feet.
The width is 60 feet more than one-third of the length.
To find:
The dimensions of a football field.
Solution:
Let the length of the field be x.
Then, width = [tex]\dfrac{1}{3}x+60[/tex]
We know that,
[tex]Perimeter = 2( length + width)[/tex]
[tex]920 = 2(x+\dfrac{1}{3}x+60)[/tex]
[tex]920 = 2(\dfrac{4}{3}x+60)[/tex]
[tex]920 =\dfrac{8}{3}x+120[/tex]
Subtract both sides by 120.
[tex]920-120 =\dfrac{8}{3}x+120-120[/tex]
[tex]800 =\dfrac{8}{3}x[/tex]
Multiply both sides by 3.
[tex]2400 =8x[/tex]
Divide both sides by 8.
[tex]300 =x[/tex]
Now,
[tex]Length = 300\text{ feet}[/tex]
[tex]Width=\dfrac{1}{3}(300)+60[/tex]
[tex]Width=100+60[/tex]
[tex]Width=160\text{ feet}[/tex]
Therefore, the length and width of the football field are 300 feet and 160 feet respectively.
The graph of a function f is shown. Use the graph to estimate the average rate of change from x=-2 to x=0
Answer:
2
Step-by-step explanation:
Given:
The interval, x = -2 to x = 0.
Required:
Average rate of change from x = -2 to x = 0.
SOLUTION:
From the graph,
If x = -2, f(-2) = 0.
If x = 0, f(0) = 4
Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
Where,
[tex] a = -2, f(a) = 0 [/tex]
[tex] b = 0, f(b) = 4 [/tex]
Plug in the values into the formula:
[tex] = \frac{4 - 0}{0 -(-2)} [/tex]
[tex] = \frac{4}{2} = 2 [/tex]
Average rate of change from x = -2 to x = 0 is 2.
y-9= 2(x - 5)
Solve for y
Answer:
y=2x-1
Step-by-step explanation:
y-9=2x-10
y=2x -10+9
y=2x-1
Mariana drinks 2 pints of milk each day. How many days does it take her to drink 1 gallon of milk?
Answer:
4 days
Step-by-step explanation:
because Mariana drank 2 pints a day 8 pints are in a gallon so 8 ÷ 2 = 4
(4w+32)(-w-5)=0 solution set
Answer:
W=5 w=8
Step-by-step explanation:
help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
(1, 7) (2, 10) (3, 5) (4, 7) (5, 9) hope that helps
I need help I'm dumb
Answer:
this is easy just place the value of x in the formula
Step-by-step explanation:
1) y=-2x-5 this wpuld equal y=-2(-6)-5
i am going to do one and you do the rest
y= -2(-6)-5
y= (12)-5
y= -60
Now i got 12 positive because is we look at the rule os signs -+-=+
so -2(-6)= 12
and the pharentesis= multiplication
You are enclosing a rectangular garden with feet of ornamental fencing. The area of the garden is square feet. What are the dimensions of the garden?
Answer:
The length and width of the rectangular garden are 20 feet and 10 feet.
Step-by-step explanation:
Given that the length of fencing = 60 feet
The area of the garden = 200 sq. feet.
As the length of the fencing is equal to the perimeter of the garden, so the perimeter of the rectangular garden is 60 feet.
Let l and b be the length and width of the rectangular garden.
So, the perimeter of the garden = 2(l+b)=60
[tex]\Rightarrow l+b=60/2=30[/tex]
[tex]\Rightarrow l=30-b\cdots(i)[/tex]
The area of the rectangular garden [tex]= l\times b=200[/tex]
[tex]\Rightarrow (30-b)b=200[/tex] [from equation (i)]
[tex]\Rightarrow 30b-b^2=200[/tex]
[tex]\Rightarrow b^2-30b+200=0[/tex]
[tex]\Rightarrow b^2-10b-20b+200=0[/tex]
[tex]\Rightarrow b(b-10)-20(b-10)=0[/tex]
[tex]\Rightarrow (b-20)(b-10)=0[/tex]
[tex]\Rightarrow b-20=0 \;or\; b-10=0[/tex]
[tex]\Rightarrow b= 20\;or\; 10[/tex]
Now, from equation (i),
If b=20 than l= 30-20=10
or if b=10 than l=30-10=20.
Hence, the length and width of the rectangular garden are 20 feet and 10 feet.
The regular cost for tickets to an outdoor concert is $10 per person. If the temperature is above 90°F, the venue offers a discount of $4 off per person. Today the temperature is 35°C. What is the total cost for a group of 12 people to go to the outdoor concert today? A. $6 B. $10 C. $72 D. $120
Answer:
C. $72
Step-by-step explanation:
Last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days. Each day they found 9 shells. How many fewer shells did they find this year than last year?
Answer:
Step-by-step explanation:
Since on each day 9 shells were found, and there are 7 days: 7 x 9 = 63
Number of shells found this summer: 63
Number of shells found fewer this year than last year: 152 - 63 = 89
Hence, Jon’s family found 63 fewer shells than last year
Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.
Let x be the number of shells they find this year than last year.
The value of x can be found as follows:
x = 152 - 7×9
x = 152 - 63
x = 89 shells
Thus, Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
what must be considered in transplanting verbal phrases to mathematical phrases???
Answer:
addition, subtraction, division, multiply
what is 3/5 miles and 1/3 hours as a unit rate?
Answer:
try math-way
Step-by-step explanation:
The ratio of boys to girls in a class is 5:3. There are 32 students in the class. How many students are boys?
Answer:
5x+3x=8x
8x = 32
x=32/8 = 4
boys are 4 x 5 = 20
girls are 4 x 3 = 12
Step-by-step explanation:
Add the ratios together: 5 + 3 = 8
Divide total students by 8:
32 / 8 = 4
Multiply each ratio by 4 to find the number of each:
Boys = 4 x 5 = 20
Girls = 3 x 4 = 12
There are 20 boys.
the answer would be (12)
thank you.............................
Dan has £100. Colin takes £. How much is left
Answer:
Maybe 99£
Step-by-step explanation:
Please give me brainliest
Answer:
i think 99 because theres no number after the symbol
Step-by-step explanation:
What is the area of shape B?
Answer:
my answer is incorrect
Step-by-step explanation:
Since the two shapes are similar, you can answer this question with a proportion.
[tex]\frac{12}{200} = \frac{15}{area} \\12area = 200*15\\area = \frac{200*15}{12} = 250[/tex]
Another way you could solve it is to find the percentage growth of the height of the area.
[tex]\frac{15-12}{12} = \frac{3}{12} = 25[/tex] percent growth.
We can multiply the area of A by 1.25 to find the area of B
[tex]200*1.25 = 250[/tex]
edit: I was incorrect, it is not linear.
It would be [tex]200*(1.25)^2[/tex]
Answer:
312.5Step-by-step explanation:
12²=200cm²
15²=??
(15²×200)÷12²
=312.5
rationalise the denominator of (6+root3)(6-root3) over root33
Answer:
√33
Step-by-step explanation:
In the image .
The expression (6 + √3) (6 - √3) / √33 upon rationalizing the denominator gives √33.
What is Square Root?Square root of a number is the value such that upon multiplying the value by itself twice gives the original number.
The given expression is (6 + √3) (6 - √3) / √33
We have the identity,
(a + b) (a - b) = a² - b²
∴ (6 + √3) (6 - √3) / 33 = 6² - (√3)² / √33
= (36 - 3) / √33
= 33 /√33
Multiplying numerator and denominator by √33,
(6 + √3) (6 - √3) / 33 = (33 × √33) / (√33 × √33)
= 33√33 / 33
= √33
Hence upon rationalizing the denominator in the expression (6 + √3) (6 - √3) / 33 yields √33.
To learn more about Square Roots, click on the link below:
https://brainly.com/question/3120622
#SPJ2
True or false, f(x) is a function
Answer:
Step-by-step explanation:
True!!
8(x+2) when x=6 show how the answer is the answer them put = the answer thanks
Answer:
64
Step-by-step explanation:
Substitute 6 in for x in the equation to get 8(6 + 2). You need to follow the order of operations and solve what is in the parentheses first. 6 + 2 is 8, so that leaves you with 8(8). 8 x 8 is 64. 64 = the answer.
Please help! Thanks!
Answer:
1/3, 3/5, 5/6 is the correct order from least to greatest.
Step-by-step explanation:
work out area of this semi circle with diameter 10
Area of a circle is pi x r^2
R is the radius which is have the diameter: r = 10/2 = 5
Area of the full circle would be 3.14 x 5^2 = 3.14 x 25 = 78.5 square units.
A semi circle is half a full circle
Area of the semi circle = 78.5/2 = 39.25 square units.
What is the perimeter and area?
Answer:
17
Step-by-step explanation:
because you have to count around the shap3
Hi! I have trouble with these type of questions, what is 3.478 divided by 37?
Answer:
0.094
Step-by-step explanation:
3.478 ÷ 37 = 0.094I hope this helps!
A 11-inch board is cut into 6 equal length pieces. How long is each piece?
Answer:
1.8inches or 1.83in repeating.
Step-by-step explanation:
divide 11 by 6. you get the decimal 1.83333333. you can either round to 1.8 or do 1.83 with a repeating symbol over the three (small dash above the number).
A carpet cleaning company will clean an apartment for $71.00. Jim has a coupon for 20% off the total price.
How much money will Jim save if he uses the coupon?
Answer:
Step-by-step explanation:
Jim will save $14.20
To calculate this we use multiplication, multiply $71.00 with 20% which in decimal form
Comes to .20.
The end result is $14.20.
Step-by-step explanation:
PLEASE HELP ME! (It's not "B")
Answer:
b is the correct answer
brainliest for right answer
Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2). If it is
reflected over the x-axis, what are the coordinates of C'? (Answer as an ordered
pair without spaces)
Answer:
C' (4,-6)
Step-by-step explanation:
Any point being reflected over the x-axis will undergo the following transformation:
(x, y) --> (x, -y)
(4, 6) --> (4, -6)
The coordinates of C',
C(4,6) → C'(4, -6).
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
Given:
Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2).
If it is reflected over the x-axis,
The reflection rule:
(x, y) → (x, -y)
The coordinates of C',
C(4,6) → C'(4, -6).
Therefore, the image point of C is C'(4, -6).
To learn more about the reflection;
https://brainly.com/question/11232423
#SPJ6