Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
The equation of the line is y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ The line passes through points (3, 4) and (-4, -3)
∴ x1 = 3 and y1 = 4
∴ x2 = -4 and y = -3
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-3-4}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = 1(x) + b
∴ y = x + b
→ To find b substitute x by 3 and y by 4 in the equation
∵ 4 = 3 + b
→ Subtract 3 from both sides
∵ 4 - 3 = 3 - 3 + b
∴ 1 = b
→ Substitute it in the equation
∴ y = x + 1
∴ The equation of the line is y = x + 1
Suzanne needs material for her school project. She buys 5.50 yards of material at $3.87 a yard. What is the total cost of the material? Round to the nearest cent.
*please show your work*
Answer:
i believe it is 21.285 or 21.29 since yo multiply 5.50 times 3.87 to get 21.285
Step-by-step explanation:
Given that f(x) = x2 – 3x - 10 and g(x) = x – 5, find (f - g)(x) and express
the result in standard form.
Answer:
[tex](f-g)(x)= x^2-4x-5[/tex]
Step-by-step explanation:
We have the two functions:
[tex]f(x)=x^2-3x-10\text{ and } g(x)=x-5[/tex]
And we want to find (f-g)(x).
(f-g)(x) is equivalent to f(x)-g(x).
Therefore:
[tex]\begin{aligned} (f-g)(x)&=f(x)-g(x)\\ &=(x^2-3x-10)-(x-5)\end{aligned}[/tex]
Simplify:
[tex]\begin{aligned} &=x^2-3x-10-x+5 \\ &=(x^2)+(-3x-x)+(-10+5) \\ &=x^2-4x-5\end{aligned}[/tex]
Therefore:
[tex](f-g)(x)= x^2-4x-5[/tex]
Answer:
x^2 -3x+5 = 0
Step-by-step explanation:
True or false: f(x) is a function.
A. False
B. True
Answer:
False
Step-by-step explanation:
sorry if you get it wrong
8. Mohan wants to buy a trapezium shaped field.
Its side along the river is parallel to and twice
the side along the road. If the area of this field is
10500 m² and the perpendicular distance
between the two parallel sides is 100 m, find the
length of the side along the river.
Top surface of a raised platform is in the shape
ofthe octagonalourfa
Answer:
The length of the side along the river is 140 m
Step-by-step explanation:
Equations
To solve the problem, we need to recall the area of a trapezium is:
[tex]\displaystyle A=\frac{b1+b2}{2}.h[/tex]
Where b1 and b2 are the lengths of the parallel sides and h is the height of the trapezium.
The field to be bought by Mohan has a trapezium shape with a side along the road of side x and a side along the river of side 2x, as stated in the problem.
Knowing the height is h=100 m, and the area is 10500 m2:
[tex]\displaystyle \frac{x+2x}{2}\cdot 100=10500[/tex]
Simplifying:
[tex]\displaystyle (3x)\cdot 50=10500[/tex]
[tex]150x=10500[/tex]
Dividing by 150:
[tex]x = 10500 / 150 = 70[/tex]
x = 70 m
2x = 140 m
The length of the side along the river is 140 m
help find missing length will give brainliest!!
Answer:
90
Step-by-step explanation:
Please help I’m terrible at math
Question 13
1 pts
Suppose that the water level of a river is 33 feet and that it is receding at a rate
of 0.5 feet per day. What would the water level be after 15 days? Round your
answer to the nearest tenth.
Answer:
25 1/2 feet
Step-by-step explanation:
Answer:
25.5 ft
Step-by-step explanation:
Starting level: 33 ft
Each day the water recedes 0.5 ft.
Now we calculate the number of ft the water recedes in 15 days.
15 days * 0.5 ft/day = 7.5 ft
In 15 days, the water recedes 7.5 ft.
Level of water after 15 days:
33 ft - 7.5 ft = 25.5 ft
Answer: 25.5 ft
Help me with these four questions and thanks
Answer:
3. 3g/mL
4. 11 g/mL
5. 5mL
6. 500g
Step-by-step explanation:
What do you understand by British system of measurement of angle?
Answer:
well, each right angle is divided into 90 equal parts where each part & it's called degrees
each degree is then divided into 60 equal parts where each part is called a minute
each minute is divided again into 60 equal parts where each part is called a second.
Step-by-step explanation:
There are 11 bananas and 8 peaches in a fruit basket. Write the
ratio of peaches to bananas.
Answer: 8:11
Step-by-step explanation:
PLEASE PLS ANSWER ASAP
Answer:
[tex] - 29[/tex]
Step-by-step explanation:
[tex] - 29 {m}^{2} \\ - 29( - 1 {)}^{2} \\ - 29(1) \\ - 29[/tex]
The graph below plots a function f(x):
If x represents time, the average rate of change of the function f(x) in the first three
seconds is....
Answer:
-50
Step-by-step explanation:
The average rate of change is synonymous with the slope. Therefore, we will find the slope of the function from x=0 to x=3.
So, we will use the endpoints of the function.
At x=0, f(x)=150. Thus, we have the point (0, 150).
At x=3, f(x)=0. Thus, we have the point (3, 0).
Now, we can use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, 150) be (x₁, y₁) and let (3, 0) be (x₂, y₂). Substitute:
[tex]m=\frac{0-150}{3-0}=-150/3=-50[/tex]
Therefore, the average rate of change for the first three seconds is -50.
Matthew’s bed takes up 1/3 of the width of his bedroom and 3/5 of the length. What fraction of the area of the floor does Matthew’s bed take up?
I believe the answer is 1/5 sorry if this is wrong!
Given l || m || n, find the value of x.
Which line best fits the data?
A. Line B
B. Line C
C. Line A
D. None of the lines fit the data well
Answer:
Line B
Step-by-step explanation:
Line is between a lot of the dots. Even though it's not directly on any of them, it still is around the them
helppppppppp please and thank you in advance
Answer:
\the second and third one
What is the answer???
Answer:
Step-by-step explanation:
If x is taken as the third side, then,
(15 - 6) < x > (15 + 6)
=> 9 < x < 21
If my answer helped, kindly mark me as the brainliest!
Thank You!!
Nemos aquarium is filled with 2400 cm³ of water the base of the aquarium is 20 cm long and 12 cm wide what is the height of the water in Nemo’s aquarium
please help will give brainliest
NEED HELP! with these 2?
Step-by-step explanation:
answer,
first one is -5 and the second is 5
hope it helps
Answer: first one is -5
Second one is 5
Step-by-step explanation:
The amount of seed in a bird feeder decreases 10.8 ounces in 5 days. The amount of seed decreases the same amount each day. What is the change in the amount of seed in the feeder in 7 days?
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.
The change in the amount of seed in the feeder in 7 days is 15.12 ounces.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
A man can run 3 miles in 60 minutes.
The time to run 1 mile is 20 minutes.
We have,
The rate at which the amount of seed decreases.
10.8 ounces = 5 days
Divide both sides by 5.
10.8/5 ounces = 1 day
Multiply 7 on both sides.
7 x 2.16 ounces = 7 days
15.12 ounces = 7 days
This means that in 7 days, the amount of seed decreases by 15.12 ounces.
Thus,
If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.
The change in the amount of seed in the feeder in 7 days is 15.12 ounces.
Learn more about unit rates here:
https://brainly.com/question/11258929
#SPJ5
factor the following quadratic expression:
6x^2 + 17x - 14
Answer:
(2x+7)(3x-2)
Step-by-step explanation:
Answer:
(3x-2) (2x+7)
Step-by-step explanation:
Break the expressions into two groups
(6x^2-4x)+(21+14)
X + y + z = 1
2x + 4y + z = 2
- X + 3y
=11
Answer:
x=-5
y=2
z=-4
Step-by-step explanation:
we can solve this by elimination and substitution method.
Find the unknown angle in each case.
what is the area of a rectangle with a height of 3X and a width of 2X -3
Answer:6x^2 -9x
Step-by-step explanation:
Match each algebraic expression to the correct simplified expression
5x - Sy
3m - (3n+ 10m)
10n- 3m
[10y-(-9x)]- (5y + x)
8x + 5y
(11n- 3m) - 1
-7m - 3n
3x - 7y-(-2x) - Y
Answer:
Step-by-step explanation:
Answer:
!
Step-by-step explanation:
What measure should be used to find out how much water is needed to fill a large swimming pool that is 8 feet by 12
feet by 6 feet?
O area
O lateral area
O surface area
O volume
Answer: D volume
Step-by-step explanation:
Which of the following is not a true bi-conditional statement?
A.) It is noon if only if it is 12:00 PM
B.) An angle is right if and only if it’s measure is 90°.
C.) I am a violinist if and only if I am a musician.
D.) Two segments are congruent if and only if they have the same length.
well a bi conditional statement is a statement that joins P and Q together with ths use of if and only if eg P if and only if Q.
I think the answer is (A) because 12:00pm is not the only noon time. 1pm is also noon so yeah that's why I think its A
Explain why every year must contain at least one Friday the 13th.
Step-by-step explanation:
God said "let there be light" The people who made the calendar said "Let there be Friday 13th.
Rewrite the equation in slope intercept form. 4x + 5y = 8
Answer:
y=-4/5+8/5, or y= -.8+1.6
Step-by-step explanation:
Slope intercept form-
y=mx+b
y=-4/5+8/5
2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat
Answer:
Cost of tshirt = £7.29
Cost of what = £0.86
Step-by-step explanation:
2t +3h = 12; 10t + 15h = 60
5t + 4h =33; 10t + 8h = 66
15h -8h = -6
7h = -6; h = -6/7; h = 0.86
2t +3(-6/7) =12
14t -18 = 84
14t = 102; t = 102/ 14; t=7.29