What is the value of 3x + 4y² when x = 5 and y = 3?
The value of 3x + 4y² when x = 5 and y = 3 is 51.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
3x + 4y²
We have to find the value of the expression when the value of x = 5 and that of y = 3.
For that, substitute x = 5 and y = 3 in place of x and y.
3x + 4y² = (3 × 5) + (4 × 3²)
= 15 + (4 × 9)
= 15 + 36
= 51
Hence the value of the expression is 51.
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Answer:
51
Step-by-step explanation:
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
x
4
Answer:
4√2
Step-by-step explanation:
as it is an isosceles 2 sides will have the same side length so 4 and 4, therefore you can use pythagoras theorem to solve for x.
do 4²+4²=32 then square root this √32 which is equal to 4√2
The two sides in the isosceles triangle will be the same thus the value of the third unequal side x will be 4√2.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
As per the given isosceles triangle.
The angles opposite to equal sides in the isosceles triangle will be the same.
And, The two sides of the isosceles triangle will be the same.
Both perpendicular sides' length = 4
By Pythagoras theorem,
x = √(4² + 4²)
x = √32 = 4√2
Hence "The two sides in the isosceles triangle will be the same thus the value of the third unequal side x will be 4√2".
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A car salesman has 5 used cars for sale. They have a mean price of $7000. What is the total price of all 5 cars?.
Answer:
Step-by-step explanation:
5 used cars for sale. They have a mean price of $7000
. What is the total price of all 5
cars?
We are given total number of cars = 5 cars.
The mean of all of five cars = $7000.
Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.
Total price = Mean × Total number of cars.
According to problem, mean is 7000 and total number of cars is 5.
Therefore, Total price of all 5 cars = 7000 × 5 = $35000.
We are given total number of cars = 5 cars.
The mean of all of five cars = $7000.
Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.
Total price = Mean × Total number of cars.
According to problem, mean is 7000 and total number of cars is 5.
Therefore, Total price of all 5 cars = 7000 × 5 = $35000.
About 5 out of 10 people entering a community college need to take a refresher mathematics course. If there are 970 entering students, how many will probably need a refresher mathematics course?
I need a answer asap
Someone help me please :(
Answer:
ok, but i can't even see nothing, though ;-;
One yard of ribbon costs $0.49, and 3 yards of ribbon costs $1.49. Which is the better buy?
$0.49 ?
.........................................
Answer:
I think the better one is $1.49
Step-by-step explanation:
That's just my opinion
A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases. Graph g when g(0)=-3 . Identify the slope, y-intercept, and x-intercept of the graph.
Answer:
The slope (m = rate of growth) for this function is 3/5. So, m= 3/5.
The y-intercept (b) for this function is located at (0,3). So, b=3.
Therefore, h(x) = 3/5x + 3
Step-by-step explanation:
Let the independent variable be x and dependent variable be y
y=h(x)
h is a linear function so it is represented in the general form of y=mx+c where
m is slope and c is the y-intercept.
Given "the dependent variable decreases 3 units for every 5 units the independent variable increases."
When x increases by 5, y decreases by 3
So the slope = rate of change of y / rate of change of x = -3/5
Given h(0)=3, h(0)=m(0)+c=3
c=3
Combining slope and y-intercept, y=-3/5*x+3
x-intercept is when y=0
0=-3/5*x+3
3/5*x=3
x=3*5/3=5
x-intercept=5
The slope of the linear function 3/5.
The y - intercept of the linear function - 3.
The x - intercept of the linear function - 5.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.
And, g(0) = - 3
Now,
Since, A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.
So, Slope = Rate of growth
= - 3 / 5
Thus, The slope of the linear function - 3/5.
Hence, The general form of equation of line is,
⇒ y = mx + c
⇒ g (x) = - 3/5x + c
Since, g (0) = - 3
⇒ g (0) = - 3/5 × 0 + c
⇒ - 3 = c
Thus, The y - intercept of the linear function - 3.
Hence, We get the general form of equation of line as;
⇒ g (x) = - 3/5x - 3
For x - intercept put g (x) = 0, we get;
⇒ 0 = - 3/5x - 3
⇒ - 3/5x = 3
⇒ x = - 5
Thus, The x - intercept of the linear function - 5.
Therefore, The slope of the linear function 3/5.
The y - intercept of the linear function - 3.
The x - intercept of the linear function - 5.
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Grady is comparing three investment accounts offering different rates.
Account A: APR of 4.95% compounding monthly
Account B: APR of 4.85% compounding quarterly
Account C: APR of 4.75% compounding daily
Which account will give Grady at least a 5% annual yield?
Answer: Account A
Step-by-step explanation:
m= -2 b=15 write the equation of the line
Answer:
y=-2x+15
Step-by-step explanation:
Hi there!
We are given that m=-2, b=15, and we want to write the equation of the line, given these values
We can write the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, since we are given the values of both m and b.
Since we know the values of m and b (-2 and 15 respectively), we can substitute those numbers in as the variables they equal to.
Substitute -2 as m:
y=-2x+b
Substitute 15 as b:
y=-2x+15
Hope this helps!
Find the measure of each angle.
Given: m∠2=x
m∠3=x−16
Solutions:
m∠2=
m∠3=
Answer:
m∠2 = 98°, m∠3 = 82°
Step-by-step explanation:
I'm going to assume this is a straight angle
Supplementary anglesSupplementary angle are two angles that equal 180°
m∠2+m∠3=180°
-Substitutem∠2+m∠2-16=196°
add both side by 16°2m∠2=196°
Divide both sides by 2m∠2=98°
Since we said m∠3 = m∠2 - 16°
m∠3 = 82°
Solve to get cake, cookies and a hug
Remember y=mx +b Given the following graph what would the equation be?
Answer:
b. y=1/2x-2
Step-by-step explanation:
We can determine b by looking at the y intercept, which, in this case is (0,-2). Now we know that b is -2. To find the slope, we need to look a rise over run which is 1/2 here (1 up, 2 right). So, our final answer is y=1/2x-2
can you Solve for c?
Answer:
[tex]3\sqrt{2}[/tex] or [tex]\sqrt{18}[/tex]
Step-by-step explanation:
Use 45-45-90 triangle theorem
3*[tex]\sqrt{2}[/tex]
Help plzzzz! I rlly need help asap
Answer:
x=0
Step-by-step explanation:
2x-9=0
2x=9
x=9/2
4x+10=0
4x=-10
x=-5/2
2(9/2)-9 =0
4(-5/2)+10=10
A function is described by the equation
f(x) = 3x – 4. If f(x) = 26, what is the
value of x?
ΔCDE was translated down and right to form triangle
ΔC′D′E′ Which statements are true? Check all that apply.
Answer:
1) DE ≅ D′E′
2) EC ≅ E′C′
5) D′C′ ≅ DC
6) ΔCDE ≅ ΔC′D′E′
Hope it helps!
Find the perimeter. Simplify your answer.
Please help me!
Among all the paintings in an art exhibit, 60% are oil paintings, and the remaining 40% are watercolor paintings. Among the oil paintings, 5% of them are abstract. Among the watercolor paintings, 10% of them are abstract. What percent of the paintings in the art exhibit are abstract? I give thanks!
Answer:
7%
Step-by-step explanation:
Let (x) = 6x. The graph of f(x) is transformed into the graph of g(x) by a verticle compression of 1/3 and a translation of 2 units up. What is the equation for g (x)?
Answer:
g(x) = 2x + 2
Step-by-step explanation:
f(x) = 6x
g(x)= 1/3*f(x) + 2
g(x) = 2x + 2
ΔPQR, P = 11, Q =9, and R = 8, so my question is (What are the angles from each side) m∠P=
m∠Q=
m∠R=
I know I need to use the LAW OF SINES and LAW OF COSINES. I know I need a law of cosines but I don't know how to put the numbers in right place.
I need help this goes towards my grade so please be correct
Answer:
0 us the answer for this question
Janet raised $90 of her $60 goal. What percent of her original goal did Janet raise?
Answer:
50% of Her Original goal
Step-by-step explanation:
JELLY BEANS A large jar contains B blue Jelly beans and R red jelly beans. A bag of 100 red and 100 blue jelly beans is added to the jar. What is the ratio of red to blue jelly beans in the Jar?
PLEASE HELP ME. Would very much appreciate it
Answer:
100:100
Step-by-step explanation:
100 reds and 100 blues are in there
How do I check my answer?!?? 6.78J-5.2=4.33J+2.15. J=3
Please answer !
Naomi has earned $81 mowing lawns the past two days. She worked 3
1
2
hours yesterday and 3
1
4
hours today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to mow lawns?
Answer:
She would of made $40.5 because of $81 divided between the 2 days that she worked
How Take a picture of the question
Answer:
uh
Step-by-step explanation:
this is very easy go to your camera
Identify an equation in point-slope form for the line parallel to y-x-4 that
passes through (-1, 7).
O A y-7 - (x+1)
O B. y+1-(x-7)
O C. -?.5(x+1
O cy 7
y-
O D. yt? (x-1)
SUBMIT
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x - 4 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
Parallel lines have equal slopes
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here (a, b ) = (- 1, 7 ) , then
y - 7 = [tex]\frac{3}{4}[/tex] (x - (- 1) ) , that is
y - 7 = [tex]\frac{3}{4}[/tex] (x + 1) → A
Please help me, If you do not know do not answer
Rule for function
If Domains of relation have unique Range then it's function otherwise not a function.
Now
FunctionFunctionRelation/Not a functionNot a function/RelationThe Running Aces card team won $548 dollars playing in poker tournaments last year. The winnings were split evenly among the p players.
How much money did each player receive?
Write your answer as an expression.
Since the question doesnt give the amount of players on the team we can just say that each player was given 548/p dollars.
solve pls brainliest
Answer:
B) y = kx
Step-by-step explanation:
A Proportional relationship should have an equivalent ratio
All of the answers have a pass through the origin except y = kx because k is unknown.