Answer:
(2,6) and (-1,3)
Step-by-step explanation:
Hi there!
We're given the system of equations:
y=x+4
y=x²+2
and we need to solve the system
You may first notice that both equations are equal to y, so we can set them to equal each other via a property known as transitivity (if a=b and b=c, then a=c)
x²+2=x+4
subtract x from both sides
x²-x+2=4
subtract 4 from both sides
x²-x-2=0
we can factor the polynomial
the numbers that add up to -1 and multiply to get -2 are -2 and 1
(x-2)(x+1)=0
solve
x=2, x=-1
both values of x work- so we'll have 2 solutions in this case
now we need to solve for y; we can do this by substituting the value of x into one of the equations to solve for y
let's use y=x+4
so if we'll use x=2,
y=2+4
y=6
one solution will be (2,6)
and if we use x=-1
y=-1+4
y=3
and the other will be (-1,3)
Hope this helps! :)
Carrie walked 6 miles per day. Which table represents y, the number of miles Carrie walked in x days.
D. Says 1. 18
2. 36
3. 54
4. 72
Answer:
C
Step-by-step explanation:
Since Carrie walked 6 miles her day, the function that best suits this relationship is given by [tex]y=6x[/tex] where [tex]x[/tex] is the number of days she walked and [tex]y[/tex] is the number of miles.
Table C represents this function [tex]y=6x[/tex] because all y values are exactly 6 times the x value.
Answer:
The answer is C.
Step-by-step explanation:
18 ÷ 3 = 6 miles a day
36÷6 = 6 miles a day
54÷9 = 6 miles a day
72÷12 = 6 miles a day
A tortoise and hare are competing in a 1000 meter race. The function f and g are such that f(t) represents the tortoise's distance from the finish line (in meters) t seconds after the start of the race and g(t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race. If we want to compute the number of seconds needed for the hare to finish the race, which procedures should be used?
Answer:
[tex]g(t) = 0[/tex]
Step-by-step explanation:
Given
[tex]d = 1000m[/tex]
[tex]f(t) \to[/tex] Tortoise
[tex]g(t) \to[/tex] Hare
Required
Time needed by the Hare to complete the race
The function [tex]g(t)[/tex] implies that the Hare is t seconds from completing the race.
When g(t) = 0, it means that the Hare has completed the race
So, to calculate the time needed by the Hare;
We simply equate g(t) to 0, then solve for t
5.) $28,000 invested at a rate of 4% compounded annually
a.) Write a compound interest function to model the situation.
Answer:
ok so we know the amount we know the interest amount but we do know know the period of time so the equation would look like this
28000(0.4)T=I
T=Time
I=interest
Find the area of the triangle to the nearest tenth . Pleaseeee help
Answer:
15.8 cm²
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the angle A. This can be obtained as follow:
B = 56°
C = 78°
A =?
A + B + C = 180 (Sum of the angle in triangle)
A + 56 + 78 = 180
A + 134 = 180
Collect like terms
A = 180 – 134
A = 46°
Next, we shall determine the value of b by using the sine rule. This can be obtained:
Side opposite angle C (c) = 7.2 cm
Angle C = 78°
Angle B = 56°
Side opposite angle B (b) =?
b/Sine B = c/sine C
b/Sine 56 = 7.2/Sine 78
Cross multiply
b × Sine 78 = 7.2 × Sine 56
Divide both side by Sine 78
b = 7.2 × Sine 56 / Sine 78
b = 6.1 cm
Finally, we shall determine the area of the triangle. This can be obtained as follow:
Side opposite angle C (c) = 7.2 cm
Side opposite angle B (b) = 6.1 cm
Angle A = 46°
Area (A) =?
A = ½bcSineA
A = ½ × 6.1 × 7.2 × Sine 46
A = 15.8 cm²
Therefore, the area of the triangle is 15.8 cm²
What is the area of this tile?
HELPP PLEASEEE
12? im not sure
i think u need to multiply 6 and 2 to get your answer.
Can someone please help me with this math problem? thank you so much!
9514 1404 393
Answer:
(A) 6
Step-by-step explanation:
Divisors of 6 are ...
1, 2, 3, 6
The sum of all but the last is 1+2+3 = 6.
Then <<<6>>> = <<6>> = <6> = 6.
_____
Additional comment
Among integers less than 200, only 6 and 28 are solutions to <n> = n.
how many solution does this equation have 17+4h+2=19−5h+9h?
Answer:
h=0
Step-by-step explanation:
if you plug it it works
Answer:
The input is an identity, it is true for all values.
Step-by-step explanation:
17 + 4h + 2 = 19 - 5h + 9h
19 + 4h = 19 - 5h + 9h
19 + 4h = 19 + 4h
19 - 19 + 4h = 19 - 19 + 4h
4h = 4h
4h ÷ 4 = 4h ÷ 4
h = h
The input is an identity, it is true for all values.
A survey result shows that cell phone usage among teenagers rose from 63% in 2006 to 71% in 2008.
Of the following choices, which statement about cell phone use among teenagers is true?
a. Cell phone usage rose by 11.2 percentage points.
b. Cell phone usage rose by 12.7 percentage points.
c. Cell phone usage rose by 12.7%.
d. Cell phone usage rose by 8%.
Answer:
d. Cell phone usage rose by 8%.
Explanation:
71 - 63 = 8
The statement that is true about percentage increase in cell phone use among teenagers is; c. Cell phone usage rose by 12.7%.
How to calculate percentage increase?We are given;
Percentage of teenagers using cell phone in 2006 = 63%
Percentage of teenagers using cell phone in 2008 = 71%
Thus;
Percentage increase = (71% - 63%)/63%
Percentage increase = 12.7%
Read more about Percentage Increase at; https://brainly.com/question/11360390
#SPJ6
The serum cholesterol levels (in mg/dL) of 18 individuals are
220, 203, 211, 191, 257, 259, 242, 218, 186, 298, 228, 201, 206, 240, 189, 198, 247, 222
Find the 25th and 90th percentile s for these cholesterol levels.
Answer:
228 and 222
Step-by-step explanation:
Hank can see the top of a tree in a mirror that is placed 475 cm from the tree when he stands 190 cm from the mirror. What is the height of the tree?
Answer:
The height of the tree is 430cm
Step-by-step explanation:
Given
The attached illustration
Required
The height of the tree
Let:
[tex]h \to[/tex] Hank's height
[tex]H \to[/tex] Tree height
[tex]d \to[/tex] distance between Hank and Mirror
[tex]D \to[/tex] distance between tree and Mirror
From the question, we have:
[tex]\angle 1 = \angle 2[/tex]
This means that:
[tex]\frac{H}{D} = \frac{h}{d}[/tex]
Make H the subject
[tex]H = \frac{h}{d} * D[/tex]
So, we have:
[tex]H = \frac{172cm}{190cm} * 475cm[/tex]
[tex]H = \frac{172* 475cm}{190}[/tex]
[tex]H = \frac{81700cm}{190}[/tex]
[tex]H = 430 cm[/tex]
3
3
X
14. Aşağıdaki cümlelerin hangisinde ikilemenin
oluşum yolu diğerlerinden farklıdır?
L
A) Çamurda bata çıka ilerlemeye çalıştık.
er-
B) Denizde irili ufaklı taşlar vardı.
C) Maaşımla iyi kötü geçinip gidiyoruz.
D) Eski püskü eşyaları kenara ayırdı.
es
?
Answer:
hygu
Step-by-step explanation:
yg9k
2x + 3y = 7 and x + y = 3? *
Answer:
1) 7/2 - 3/2y,
2) 3-y, y
Step-by-step explanation:
See Image below for steps:)
What is the 5 steps in Method of Elimination Steps to Solve Simultaneous Equations..
Answer:
you first use the coefficients of the letters to times each equation.
Then you either subtract or divide to eliminate the first letter and it coeeffient.
then whatever you get you will divide it with the one with no letter.
then you substitute the answer for the letter in any of the equation.
then you solve it.
I hope this is helpful.
Use the order of operations to simplify the expression
(5.4)² - 5.4²
Answer:
0
Step-by-step explanation:
(5.4)^2 - 5.4^2
= 5.4^2 - 5.4^2
= 5,4^2(1 - 1)
= 5.4^2(0)
= 0
please answer both questions
Answer:
$24.63
Step-by-step explanation:
Surface area of a sphere = 4πr²
Surface area of the sphere
= 4π7²
= 196π
= 615.752... cm²
The total cost
= 0.04 × 615.752...
= $24.63 (rounded to the nearest hundredth)
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
9x + 3y = -6
Answer:
y = -3x-2
Step-by-step explanation:
3y = -9x-6. y = (-9x-6)/3. y = (-9x/3)+(-6/3). y = -3x-2
i need help with this one plz! (marking BRAINLIST) :)
Answer:
x=22
Step-by-step explanation:
the triangle in which x is in is an equilateral triangle.
44 is an exterior angle to that triangle.
an exterior angle is always equal to tbe sum of the opposite 2 interior angles.
because that triangle is equilateral
x =44 ÷ 2
x=22
¿ que pasa si no hubieran plantas ?
Answer:
entonces no habria oxigeno
Step-by-step explanation:
Ethan is 1.6 metres tall, Uzma is 154 cm tall.
Work out how much taller Ethan is than Uzma.
Answer:
1.6 metres is 160 centimetres
Ethan is 6 centimetres taller than Uzma
find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
x = 20
Step-by-step explanation:
90° - 76° = 14°
[tex](x-6)=14[/tex]
[tex](x+6)=+6[/tex] Add 6 to both sides
x = 20
Hence, x = 20
Answer: X=20
Right angles are 90 degrees and 90-76=14... X-6=14... add 6 to 14 and get 20. X=20. Don't quote me on it I haven't done this stuff in a year.
Please help me i need help
Answer:
H
E
A
R
T
S
Step-by-step explanation:
easy
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 12(1.03)n
What is the average rate of change of the function f(n) from n = 3 to n = 10, and what does it represent? (4 points)
Answer:
The average of rate was of 0.4314 cm/day, which means that on average, during this interval, the plant grew by 0.4314 cm each day.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function f(x), from x = a to x = b, is given by:
[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]
In this question:
[tex]f(x) = 12(1.03)^n[/tex]
From n = 3 to n = 10
[tex]a = 3, b = 10[/tex]
[tex]f(b) = f(10) = 12(1.03)^{10} = 16.13[/tex]
[tex]f(a) = f(3) = 12(1.03)^{3} = 13.11[/tex]
Average rate of change:
[tex]A = \frac{f(b)-f(a)}{b-a} = \frac{16.13-13.11}{10-3} = 0.4314[/tex]
The average of rate was of 0.4314 cm/day, which means that on average, during this interval, the plant grew by 0.4314 cm each day.
Find the missing length indicated. Please help!!!
the question is in the attachment. i know its not A because these angles are not opposite of each other.
Answer:
hi, it's b because a+b is 180°
which of the following graph is neither even or odd
Answer:
f(x)=2x³+4x²+5
Step-by-step explanation:
1) the rule of the even function is: f(-x)=f(x)
the rule of the odd function is: f(-x)=-f(x);
2) the function f(x)=2x³+4x²+5 is neither even or odd according to the rules above:
f(-x)= -2x³+4x²+5= -(2x³-4x²-5).
Can someone help me
HELP PLS!!
A circle has been divided into 4 equal angles. is each angle acute, obtuse or right?
Answer:
Right
Step-by-step explanation:
360/4 = 90
90° is a right angle
PLEASE PLEASE HELP!!!!
Find the volume of the triangular pyramid to the nearest whole number
A) 170in³
B) 340in³
C) 680in³
D) 1,020³
5. Solve: 9(36 – 2) - 2 =
I can’t figure this out
Answer:
The correct answer is:304
Step-by-step explanation:
How to solve a problem.
a) [tex]\log \left(\dfrac{A^3B}{C} \right) = 3\log A + \log B - \log C[/tex]
b) [tex]\log \left(\dfrac{\sqrt{A}}{B^2} \right) = \frac{1}{2}\log A - 2\log B[/tex]