We can equate both the functions to evaluate value of x and that will be the solution of [tex]f(x) = g(x)[/tex].
The solution is given as: [tex]x = 1[/tex]
Given that:[tex]f(x) = 2x+ 1[/tex][tex]g(x) = -x + 4[/tex]To find:Solution of the equation [tex]f(x) = g(x)[/tex]
Substituting values of f(x) and g(x) in given equation:[tex]f(x) = g(x)\\2x + 1 = -x + 4\\\\\text{Adding x on both the sides}\\2x + x + 1 = -x + x + 4\\3x + 1 = 4\\\\\text{Subtracting 1 from both the sides}\\3x + 1 - 1 = 4 - 1\\3x = 3\\\\\text{Dividing both the sides by 3}\\\dfrac{3x}{3} = \dfrac{3}{3}\\\\x = 1[/tex]
Thus, the solution of given equation is given as [tex]x = 1[/tex].
Learn more about solution of linear equations here:
https://brainly.com/question/10439298
6. Luke weighs 25 kilograms, Han weighs 12x kilograms, and Chewie weighs 5x
kilograms. Write an expression that could be used to find their total
combined weight. |
Kenneth drove 194.3 miles in hours. What was his average speed?
Answer:
194.3 miles/h
Step-by-step explanation:
avarage speed = total distanse/total time
194.3/1
Anna and Matt each opened a savings account with a deposit of $100.
Anna earned 4.5% simple interest per year.
Matt earned 3% simple interest per year.
Neither of them made additional deposits or withdrawals.
How much more did Anna receive in interest than Matt after 3 years?
[tex]~~~~~~ \stackrel{\textit{\Large Anna}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\dotfill &3 \end{cases} \\\\\\ A=100[1+(0.045)(3)]\implies A=100(1.135)\implies A=113.5 \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \stackrel{\textit{\Large Matt}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &3 \end{cases} \\\\\\ A=100[1+(0.03)(3)]\implies A=100(1.09)\implies A=109 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Anna}{113.5} - \stackrel{Matt}{109}\implies 4.5[/tex]
At the carnival, the ratio of people who won the ring toss game to lost it was 8:5. If 24
people won, how many people would have lost?
Answer:
if 24 people won, 15 people lost
Can some one help with this
NOTE* If it is marked red that means that it is a wrong answer
Answer:
Neither increasing or descreasing
Step-by-step explanation:
Decreasing - slope of line is negative, e.g. y = -2x
Increasing - slop of line is positive, e.g. y = 2x
Vertical lines have no slope, so they are neither increasing or decreasing
Identify the vertex and axis of symmetry of each.
y = (x + 2)² – 3
Answer:
See below
Step-by-step explanation:
Vertex Form of Parabola: [tex]y=(x-h)^2+k[/tex]
Given Equation: [tex]y=(x+2)^2-3[/tex]
Vertex: [tex](h,k)\rightarrow(-2,-3)[/tex]
Axis of Symmetry: [tex]x=h\rightarrow x=-2[/tex]
I need help, So I know theres the numbers there but how do I know if its correct and what the right answer is if I cant plot if and hover over the plot to see the number?
Step-by-step explanation:
Let's find the slope by using this formula:
[tex]\frac{y2}{x2} -\frac{y1}{x1} =m[/tex]
We'll use these 2 points:
(4, 6)
(8, 12)
Substitute the points into the formula's format:
[tex]\frac{12}{8} -\frac{6}{4} =m[/tex]
Subtract:
[tex]\frac{6}{4} =\frac{3}{2} =m[/tex]
The slope means that;
For every 2 (x), y increases by 3.
Other points that can lie on the given line:
[tex]\frac{4+2}{6+3} =\frac{6}{9} \: (6,9)[/tex]
[tex]\frac{8+2}{12+3} =\frac{10}{15} \: (10,15)[/tex]
[tex]\frac{10+2}{15+3} =\frac{12}{18} \: (12,18)[/tex]
[tex]\frac{12+2}{18+3} =\frac{14}{21} \: (14,21)[/tex]
[tex]\frac{16+2}{24+3} =\frac{18}{27} \: (18,27)[/tex]
[tex]\frac{18+2}{27+3} =\frac{20}{30} \: (20,30)[/tex]
The perimeter of a
rectangular swimming pool is 84
meters. The width of the pool is
three fourths the length. What
are the length and width of the
pool?
Answer:
24
Step-by-step explanation:
let [tex]\ell=length[/tex]
then [tex]width=\frac{3}{4}\ell[/tex]
since the perimeter is 84, then
[tex]2(length+width)=84\\ 2(\ell+\frac{3}{4}\ell)=84\\ 2(\frac{4}{4}\ell+\frac{3}{4}\ell)=84\\2(\frac{7}{4}\ell)=84\\ \frac{7}{2}\ell=84\\ \ell=\frac{84\times 2}{7}\\ \ell=24[/tex]
Which equation is represented by the graph below?
Answer: y= 2x + 4
Step-by-step explanation: I think that’s it
Express in simplest a+bi form(3-5i)(-2+I)
Answer:
[tex](3 - 5i)( - 2 + i) = - 1 + 13i \\ 2 + 7i - (28 + 14i) = - 26 - 7i \\1 - 13i - (26 - 7i) = 1 - 13i + 26 + 7i = 25 + 19i[/tex]
Find the unit price.
8 pencils for $5.60
$5.60 8
8=8 1
(Type an integer or a decimal. Do not include the $ symbol in your answer.)
$
per pencil
Answer:
To find the unit price you simply divide 5.60 ÷ 8
the answer would be 70 cents per pencil
Help pleaseeee and tyy<3
Answer:
-1/7
Step-by-step explanation:
(0,0) is the origin and so the first point the slope between those two points is gonna hit will be -1/7 (rise over run)
Mark as brainliest
There are 25 plants in a garden, and 60% of the plants are tomato plants. How many of the plants are tomato plants
Answer: 15
Hope this helps! Give brainliest if you can. :)
Whats the percent of this statistic?
I’m trying to find the statistic of teen (15-19) un- alives in Canada in 2019?
Population; 2,178,135
Rate; 9.1 (per thousand I think)
Please help me my final grades are due today and I’m failing geometry:(
Answer:
1. sin(0) = b/c
cos(0) = a/c
tan(0) = b/a
2. sin(0) = 4/5
cos(0) = 3/5
tan(0) = 4/3
3. sin(0) = 4/5
cos(0) = 3/5
tan(0) = 14/3
Step-by-step explanation:
sin A = opposite/hypotenuse
cos A = adjacent/hypotenuse
tan A = opposite/adjacent
1. sin(0) = b/c
cos(0) = a/c
tan(0) = b/a
2. sin(0) = 4/5
cos(0) = 3/5
tan(0) = 4/3
3. sin(0) = 12/15 = 4/5
cos(0) = 9/15 = 3/5
tan(0) = 12/9 = 4/3
Please mark brainliest if you're happy with the answers
3(x + 1) = -24
what is x?
Answer:
x = -9
Step-by-step explanation:
Distribute
3(x+1)=-24
3+3=−24
Subtract 3 from both sides of the equation
3x+3=-24
3+3−3=−24−3
Simplify
3x =-27
Divide both sides of the equation by the same term
3x=-27
3/3=−27/3
Simplify
x = -9
Bob's Gift Shop sold 500 cards for Mother's Day. One salesman, Amelia, sold 20% of
the cards sold for Mother's Day. How many cards did Amelia sell?
Divide/scale down to solve for the missing percent.
cards
500
100
20
percent
Submit Answer
attempt 1 out of 2
Answer:
Robert sold 10 cards for Mother's Day
Step-by-step explanation:
2% of 500 is exactly like multiplying 0.02 with 500 which is 10
Which theorem proves these triangles are similar?
Answer:
The triangles are not similar
Step-by-step explanation:
SAS & SSS would require sides to be congruent (They aren't)
AA would require 2 angles to be congruent, and we don't have enough information to prove a 2nd angle would be congruent
Answer:
b SAS Similarity Theorem
BRAINLIEST, PLEASE!
Step-by-step explanation:
The triangles are both similar since they share an angle, and two of their side ratios are roughly the same. This is the SAS Similarity Theorem. (side, then angle, then side)
Lena has a pitcher filled with 3 1/2 quarts of grape juice she pours 1/4 of grape juice into a glass how many quarts of grape juice does Lena pour in the glass
A. 3/8
b. 7/8
C. 1 1/4
d. 3 1/8
Answer:
b) 7/8
Step-by-step explanation:
since 3 1/2 quarts is 3.5 we can do 3.5/4 for the answer which equals to 7/8
If you can wash 16 cars in 2 hours, how many cars can you wash per hour?
Answer:
8
Step-by-step explanation:
Answer:8
Step-by-step explanation: you are trying to find how many you can wash in one hour so you take the number that can be washes in 2 hours and divide it by 2
16/2=8
pls mark like 1,2,3 for the answers if that makes sense, like for the 1st one that would be
1.(answer)
2.(answer)
pls
Arrange this from the ascending order.
9, -17, 2, 14, -10, -6, 2, 18, -2, -4
Solve the system using substitution or elimination.
Answer:
no solution (contradiction)
Step-by-step explanation:
We can eliminate the variables by subtracting twice the second equation from the first:
(2y -6x) -2(y -3x) = (-2) -2(4)
0y +0x = -10 . . . . simplify
0 = -10 . . . . . . . "contradiction" -- no solution
_____
The graphed lines are parallel, so do not intersect. There is no solution.
what is the answer to 3(2-t)/4 = 3t/4
Answer:
t=1
Step-by-step explanation:
First we distribute
[3(2-t)]/4=3t/4
(6-3t)/4=3t/4
Then we multiply both sides by 4 to cancel out the denominator
6-3t=3t
Add 3t to both sides
6t=6
Divide both sides by 6
t=1
(Marking Brainliest!)
x-4y=4
(?,?) (?,?)
Use the expression 5(6 + 4x) to answer the following: Part A: Describe the two factors in this expression. (4 points) Part B: How many terms are in each factor of this expression? (4 points) Part C: What is the coefficient of the variable term? (2 points) Source StylesFormatFontSize
Answer:
Part A: The two factors are 6 and 4x. Part B: Question is confusing Part C: The coefficient of the variable is 4.
Step-by-step explanation:
Factors are what gets multiplied to give a product, therefore, 6 and 4x are the products as they are both being multiplied by 5. I don't understand what you are asking for part b. Part C, the coefficient is any number that is multiplied with the variable next to in. For example, in 16x, 16 is the coefficient and x is the variable. In 9y, 9 is the coefficient and y is the variable.
Please provide the equation and the answer to this question:
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How many did each pencil cost?
Answer:
p=$2.00
Step-by-step explanation:
We can find how much each pencil costs using the equation 10 = 24 - 7p
Solving for p gives us p = 2
the last anwser option is : y = x + 5
Paula wants to add some more tropical fish to her aquarium. She wants to buy some blue gouramis, which cost $2.50 each, and some clown loaches, which cost $5.50 each. She has room for only 6 more fish, and she has $24.00 to spend.
How many of each kind of fish can she buy? Write in systems of linear equation
she can buy 3 Blue Gouramis and 3 Clown Loaches.
true or false: 3^-1 x 3^-1=3^1
Answer:
the answer I got is false
