Complete Question:
You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year.
The initial heights are shown.
Write a system of linear equations that represents this situation.
Answer:
[tex]s(x) = 8 + 4x[/tex]
[tex]h(x) = 14 + 6x[/tex]
Step-by-step explanation:
Given
Spruce Tree (s):
[tex]Initial\ Height = 8[/tex]
[tex]Growth = 4[/tex] (yearly)
Hemlock Tree (h):
[tex]Initial\ Height = 14[/tex]
[tex]Growth = 6[/tex] (yearly)
Required
Represent as system of linear equations
Let the number of years be x.
In both cases, the equation can be formed using:
[tex]Equation = Initial\ Height + Growth * x[/tex]
For Spruce Tree (s):
[tex]s(x) = 8 + 4 * x[/tex]
[tex]s(x) = 8 + 4x[/tex]
For Hemlock Tree (h):
[tex]h(x) = 14 + 6 * x[/tex]
[tex]h(x) = 14 + 6x[/tex]
Hence, the equations are [tex]s(x) = 8 + 4x[/tex] and [tex]h(x) = 14 + 6x[/tex]
the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides of the triangle
Answer:
[tex]16\frac{2}{3}[/tex]cm
Step-by-step explanation:
Given dimensions:
[tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm by [tex]5\frac{2}{3}[/tex] cm
The total length:
it is the sum of all the sides;
[tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]
LCM of the denominators = 6 ;
[tex]\frac{38 + 28 + 34}{6}[/tex] = [tex]\frac{100}{6}[/tex]
= [tex]\frac{50}{3}[/tex]
= [tex]16\frac{2}{3}[/tex]cm
Raise to the power:
[tex](-3y)^{4}[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( { - 3y})^{4} = ({ - 3})^{4} \times ( {y})^{4} = [/tex]
[tex]81 \times {y}^{4} = 81 {y}^{4} [/tex]
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Use common factors to write two fractions equivalent to 6/42
Answer:
1.) 1/7 2.) 3/ 21= 1/7
Step-by-step explanation:
these are some fractions that are equivalent
Answer:
3/7 and 1/7
Step-by-step explanation:
What is the answer to this question because I can’t understand it
Answer:
you have to add both x and y values together. the x and y values came out as (-3,2). hope this helped!
Answer:
(x-11,y-12)
Step-by-step explanation:
What is the solution to the equation 5x−2=2x+13
Answer:
X=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
5x-2=2x+13
-2x -2x
3x-2=13
+2 +2
3x=15
divide 15 by 3.
3. Consider the equation s +10 = 25.
(a) Write a real-world problem that can be solved using the equation.
s +10 = 25.
There is a bag containing 25 chocolates 10 of them are white, how many chocolates are dark chocolates?
Jay wants to buy a book for $8.00. The sales tax is 6%. How much will Jay pay for the book including tax?
Answer: $8.48
Step-by-step explanation: 8x.06 = .48 +8 = $8.48
16) The zero of a polynomial ax+b (a is not zero) is
a/b
b/a
-a/b
-b/a
Answer:
x = - [tex]\frac{b}{a}[/tex] ( a ≠ 0 )
Step-by-step explanation:
To find the zero, let the polynomial equal zero, that is
ax + b = 0 ( subtract b from both sides )
ax = - b ( divide both sides by a )
x = - [tex]\frac{b}{a}[/tex]
The total cost for tuition plus room and board at State University is 6,584
dollars. Tuition costs 1804 dollars more than room and board. What is the
tuition fee?
Answer:
$4,194
Step-by-step explanation:
First, you need to subtract the 1,804 from the the total, which will give you 4,780. Divide this by two to get the cost of room and board, which is 2390. To find the tuition fee, add 2,390 and 1,804, and that equals $4,194.
solve for m: 3m+6= 5m+ 8 *
Answer:
m = -1
Step-by-step explanation:
3m + 6 = 5m + 8
-3m -3m
6 = 2m + 8
-8 -8
-2 = 2m
divided by 2
-1 = 1m
m = -1
3. In the figure, m/_ 2 = 92, and m/_12 = 74. Find the measure of each angle. Tell which postulate(s) or theorem(s) you used.
/_13
a. 106, vertical angles
b. 74, alternate interior angles
c. 106, supplementary angles
d. 74, consecutive interior angles
Answer:
C
Step-by-step explanation:
Q3) f(x) 2x^2 - 5x, g(x) = 3x^3 find g(4x)
Answer:
g(4x) = 192x^3
Step-by-step explanation:
For this problem, f(x) is irrelevant since we are simply are dealing with g(x). We will simply replace the value of x in g(x) with 4x. So let's do that.
g(x) = 3x^3
g(4x) = 3(4x)^3
g(4x) = 3(4^3)(x^3)
g(4x) = 3(64)(x^3)
g(4x) = 192x^3
Hence, g(4x) is 192x^3.
Cheers.
WILL GIVE BRAINLIEST!!!!!!!!!
1. Use at least 2-3 sentences to explain how to find the measure of exterior angle of a triangle if you know the two remote interior angles.
2.Use at least 2-3 sentences to explain how to find the measure of an interior angle of a triangle when you are given the other two angle measures.
Answer:
Step-by-step explanation:
1). By definition of an exterior angle of a triangle,
Measure of exterior angle of a triangle is equal to the sum of opposite two interior angles.
From the figure attached,
m∠4 = m∠1 + m∠2
2). Property of a triangle states that " sum of interior angles of a triangle is 180°"
Therefore, m∠1 + m∠2 + m∠3 = 180°
There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade in the math club. The math club sponsor will randomly pick one student from each grade level to represent the team.
What is the probability that both will be girls?
Answer:
5/24 or 20.8%
Step-by-step explanation:
Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2
Probability that the 8th grader is a boy = 5/(5+7) = 5/12
Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%
If 7 + 5 i is a zero of a polynomial function P(x) with real coefficient, then which is also a zero for P(x)
Answer:
ppap
Step-by-step explanation:
fhfhhffhff my name is denish paudyal
Answer:
7 - 5i
Step-by-step explanation:
complex zeros occur as conjugate pairs , thus if 7 + 5i is a zero, then
7 - 5i is also a zero
(0, -19), (20, 15)
I am having trouble
Answer:
-38285
Step-by-step explanation:
this is what my calculator told me
sorry but ask someone else
I don´t know what slopes are
so sorry
You need to score 80% on the final exam to maintain an “A” average in class. If the exam has 250 questions, how many questions must you answer correctly?
A. 20
B. 160
C. 200
D. 240
Answer:
200
Step-by-step explanation:
100/250= 0.4
0.4* 200= 80
Factoring trinomials
Select two for each
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Factors.
1.) x^2+4x+3= (x+1) (x+3)
2.) x^2-2x-99 = (x+3) (x-11)
The table shows the number of votes for the new school mascot. What percent of the students voted for Polar Bears?
Mascot Number of Students
Polar Bears 6
Tigers 14
Vikings 19
Eagles 11
Katie solved the problem. Her work is shown below. Is her answer correct? If not, explain the error and give the correct answer.
Answer:
shes so wrong
Step-by-step explanation:
6+14=20+19=39+11=50
100/50=2
6x2=12
12%
Plz Help ASAP!!
What is the y-intercept of the line that contains the point (3, –2) and is perpendicular to the line y = – 2/5 x + 3/5?
What is the least common multiple of 6 and 8?
Answer:
2
Step-by-step explanation:
A’ is the image of A in a regular pentagon. What is the angle of a clockwise rotation, in degrees, about the origin that transfers A to A’
Answer:
B. 144°
Step-by-step explanation:
have a nice day.
Two cities on a map are 6.5 cm apart. The cities are actually 325 km apart. What scale was used to draw the map?
Answer:
A scale of fivce hundred should be the correct answer
Step-by-step explanation:
Answer:
1cm=50km
Step-by-step explanation:
325 divided by 6.5 is 50, so 1 centimeter equals 50 kilometers on the map scale.
WILL GIVE BRAINLIEST!!!!!!!
Write a quadratic equation with –6 and 5 as its roots.
While there are many quadratic equations using -6 and 5 as roots, the most simple would be the basic (x+6)(x-5)=0, or simplified, x² + x - 30 = 0.
Using these roots, all you have to do is make both sides of the equation and even both sides of the multiplied pre-product to equal 0. If using this format, x has to be equal to -6, and 5.
1092 in exponential form
Answer:
1.092 × [tex]10^{3}[/tex]
I hope this helps!
Answer:
1.092×10^3 is the answer .hope this helps
Write the equation in Standard Form.
72 = 2 – 4y
Answer:
seventy-two equals two minus four times
Step-by-step explanation:
Answer:
72x+4y=2
Step-by-step explanation:
Which ones are functions?
Answer:
6,8
Step-by-step explanation:
I need help please help me.THANKS!!
Answer:
A. 42, 120, 162
Step-by-step explanation:
27 x 6 = 162
or
42 + 120 = 162
#kingofdrill.
Brainlliest for one of the people who tell me what kingVon's First song is
thx for the free points ig
Answer:
Crazy Story
Step-by-step explanation:
Crazy Story.02 and the one on lildruky
Someone help ASAP
I don’t understand
Answer:
[tex]\sqrt{49}[/tex] and 1/4 are rational numbers
Step-by-step explanation:
others are not rational numbers because the decimals goes on forever.
Ex. [tex]\sqrt{7}[/tex]=2.64575.....
4/9=0.444444444...
pi goes on forever