Answer:
[tex]f(-3)=-18[/tex]
Step-by-step explanation:
Since
[tex]f(x)=5x-3[/tex], we can plug in our values
[tex]f(-3)=-15-3[/tex]
Combine like terms
[tex]f(-3)=-18[/tex]
Drake bought a $110,000 life insurance policy at $12.95 for a 20 year term.
What will he pay over 20 years for the premium?
Drake will pay $28,490 over 20 years for the premium.
Data and Calculations:
Life insurance policy = $110,000
Insurance term = 20 years
Premium rate = $12.95 per $1,000
Total premium per year = $1,424.50 ($12.95 x $110,000/$1,000)
Total premium for 20 years = $28,490 ($12.95 x $110,000/$1,000 x 20)
Thus, Drake will pay a total premium of $28,490 for 20 years.
Learn more: https://brainly.com/question/3164505
the table shows the price x (in dollars) of a product at several different stores and the profits y (in dollars) generated by seeing the product. use a graphic calculator to write a function that models the data. Round each value in your function to the nearest hundredth. The equation is y=___
Regression equations are used to represent the relationship between the x and y variables.
The regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
Using a graphing calculator, we have the following parameters
Sum of x: [tex]\mathbf{\sum x = 269}[/tex]Sum of y: [tex]\mathbf{\sum y = 3170}[/tex]Mean of x: [tex]\mathbf{\bar x = 38.4286}[/tex]Mean of y: [tex]\mathbf{\bar y = 452.8571}[/tex]Sum of squares: [tex]\mathbf{SS_x = 1679.7143}[/tex]Sum of products: [tex]\mathbf{SP = -648.5714}[/tex]The regression equation is represented as:
[tex]\mathbf{y =bX +a}[/tex]
Where:
[tex]\mathbf{b = \frac{SP}{SS_x}}[/tex] and [tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
So, we have:
[tex]\mathbf{b = \frac{-648.5714}{1679.7143}}[/tex]
[tex]\mathbf{b = -0.39}[/tex]
Also, we have:
[tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
This gives:
[tex]\mathbf{a = 452.8571 - (-0.39 \times 38.4286) }[/tex]
[tex]\mathbf{a = 467.84}[/tex]
Substitute values for (b) and (a) in [tex]\mathbf{y =bX +a}[/tex]
[tex]\mathbf{y =-0.39X +467.84}[/tex]
Hence, the regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
See attachment for the scatter plot
Read more about regression equations at:
https://brainly.com/question/7656407
I need help with this question! Whoever is correct, I will give brainliest!
The system of equations that can be used to model the situation is:
B. [tex]x + y = 27[/tex][tex]y = 3 + \frac{1}{2}x[/tex]What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: number of boxes Juan packed.Variable y: number of boxes David packed.Together they packed 27 boxes, hence:
[tex]x + y = 27[/tex]
David packed 3 more than half the number Juan packed, hence:
[tex]y = 3 + \frac{1}{2}x[/tex]
Hence, the system of equations that models the situation is:
B. [tex]x + y = 27[/tex][tex]y = 3 + \frac{1}{2}x[/tex]You can learn more about system of equations at https://brainly.com/question/25960609
In 161616 years, Ben will be 333 times as old as he is right now.
How old is he right now?
Answer:
8
Step-by-step explanation:
I'm going to guess there's a typo in the question and it should be
In 16 years, Ben will be 3 times as old as he is right now.
x + 16 = 3x
subtract x from both sides
16 = 2x
Divide both sides by 2
8 = x
x = 8
What is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24 7 24 25 31
Answer:
X = 25
Step-by-step explanation:
To find the hypotenuse of a right triangle you use pythagorean theorm Where C = Hyp
A = Leg1
B = Leg 2
A^2 + B^2 = C^2
7^2 + 24 ^2 = x^2
49 + 576 = x^2
625 = X^2 (Square root both sides)
25 = x
-- Gage Millar, Algebra 1/2 tutor
Write 0.012 as a fraction in simplest form.
Answer:
3/25Step-by-step explanation:
Remove The decimal,
= > 0.012 = 12/100
= > 3/25...ans
Hope it Helps you!!Round 53,714.54 to the nearest a. thousandth. b. thousand.
Find the greatest common factor of 27 and 46
The greatest common factor of 27 and 46 is 1
An investor invested a total of $3,000 in two mutual funds. One fund earned a 7% profit while the other earned a 3% profit. If the investor's total profit was $142, how much was invested in each mutual fund?
Answer:
Step-by-step explanation:
x= fund that got 7%
y= fund that got 3%
x+y=3000
.07x+.03y=142
y=3000-x
.07x+.03(3000-x)=142
.07x+90-.03x=142
.04x=52
x= 1300
x+y=3000
1300+y=3000
y=1700
1300 in the fund that earned 7%
1700 in the fund that earned 3%
Andre rode his bike at a constant speed. He rode 1 mile in 8 minutes. Which of these equations
represents the amount of time tin minutes) that it takes him to ride a distance d of miles?
Andre rode 1 mile in 8 minutes. In 2 minutes he will ride 16 minutes, we know this because he is riding at a constant speed. Now, lets turn this into an equation. Due to the fact that the speed is consent at 8 minutes a mile, with d being the distance in miles, we can say that y = 8d
Lets test this equation out:
y = 8d 1 minute
y = 8
y = 8d 2 minutes
y = 16
I hope this helps! :)
b2 - 12a when a = 1/4 and b = 8
Answer:
13
Step-by-step explanation:
b2-12a
2(8)-12(1/4)
16-12/4
16-3
13
4n + 8 = 40
what does n =
4n + 8 = 40
4n = 40 - 8
4n = 32 / : 4
n = 8
N = 8
Hope this helps!!! if so please give brainliest
Maki~
Given that the area of a rectangle can be represented by 5x2-8x-4, write expressions to represent
the length and width of the rectangle. Show all work for credit.
Answer:
length: 5x + 2
width: x - 2
Step-by-step explanation:
Factors of 5
1, 5
Factors of 4
1, 4
2, 2
Sign
one positive, one negative
Factor 5x^2 - 8x - 4
(5x + 2)(x - 2) = 5x^2 - 10x + 2x - 4
(5x + 2)(x - 2) = 5x^2 - 8x - 4
Therefor
length: 5x + 2
width: x - 2
help asap ill give brainliest
Answer: The answer is 120 degrees, mama
Step-by-step explanation:
(n-2)180
What i mean by n is the total amount of sides so in this case it would be 6. so the equation would look like (6-2)180.
6-2=4
(4)180
720
720/6
120 thats how you get the answer
pls help! NO LINKS I WILL REPORT YOU
When using re-grouping to solve 25 x 45, what are the four problems that would be calculated to find the final answer?
A.20 x 40; 5 x 40; 20 x 5; 5 x 5
B.20 x 20; 40 x 40; 20 x 5; 5 x 5
C.20 x 40; 20 x 5; 40 x 5
D.20 x 40; 5 x 20; 20 x 5; 5 x 5
Answer:
It is number 1
Step-by-step explanation:
I tried it.
One number is 3 times another. If the difference between the numbers is 14, what is the larger number?
Answer:
21
Step-by-step explanation:
Create an equation: 3n - n = 14
Solve: 3n - n = 14
2n = 14
n = 7
Larger number: 3(7) = 21
Answer:
The numbers are 7 and 21.
Step-by-step explanation:
The difference is 14 and 7*3= 21
Which angle is the smallest?
12
10
D
Answer:
Step-by-step explanation:
(6.-1);y=-5x+3
slope intercept form
Answer:
y = x + 4 y= x − 8 25 x + y =
3
Step-by-step explanation:
7.5t= 45 Solve this.
Answer:
t = 337.5
Step-by-step explanation:
(7.5) * 7.5t = 45 * (7.5)
t = 337.5
Just some simple algebra, please mark me brainliest!
Find the quotient. Write the answer in the simplest form.
58÷34
Answer:
1.70588235294
Step-by-step explanation:
i think
Answer:
1.70
Step-by-step explanation:
What is the range of this function?
4
-
co
8
7
18
-15
O A. {-4, -1, 15, 18}
O B. {-4,1,7,15}
OC. {-1,4, 8, 18}
O D. {-4, -1,1,4,7,8, 15, 18}
Answer:
Not sure but I think it's B.
if g(x)=x^2+2x, find g(-6)
Answer:
-6/2+2×(-6)
-3+(-12)
-3-12
-15
f(x) = -x2
Domain and range
Answer: answer in attachment.
Answer:
Hindi ko na to I answer may nag answer na e
Explanation:
Brainlest po please please follow ko po kayo promisebasta brainlest mo ako
pls help 3 x 2 + 6 (4+1) = ???
Answer:
17 IS THE ANSWER......................
Answer:
Your answer should be 36.
whats the answer????
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope (and always the factor of x). it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
b is the y-intercept, the y value of the point, where the line crosses the y-axis (in other words : the y value when x = 0).
so, look at the chart. where do we see points with integer coordinates (these are the easiest to read correctly and work with) ?
I see for example (0, -6) and (4, -7).
to go from the first to the second point :
x changes by +4 units (from 0 to 4).
y changes by -1 unit (from -6 to -7).
the slope a is therefore -1/4.
and the first point i picked gives us also automatically the y-intercept (-6).
so, the line equation is
y = (-1/4)x - 6
PLS HELP WILL MARK BRAINLIEST
[tex]f(a) = -4a +6a^3 - 15 -4a^2 \\\\\text{By the remainder theorem,}\\\\f\left(\dfrac 53 \right) = -4\left(\dfrac 53 \right) + 6 \left( \dfrac 53 \right)^3 - 15 - 4 \left(\dfrac 53 \right)^2 = -5\\\\\\ \text{Hence}~-5~ \text{is the remainder when f(a) is divided by}~ 3a -5[/tex]
[tex]\\ \sf\longmapsto 3a-5=0[/tex]
[tex]\\ \sf\longmapsto 3a=5[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{5}{3}[/tex]
Using remainder theorem
[tex]\\ \sf\longmapsto f(a)=-4a+6a^2-4a^2-15[/tex]
[tex]\\ \sf\longmapsto f\left(\dfrac{5}{3}\right)[/tex]
[tex]\\ \sf\longmapsto -4(5/3)+2a^2-15[/tex]
[tex]\\ \sf\longmapsto -20/3+2(5/3)^2-15[/tex]
[tex]\\ \sf\longmapsto -20/3+2(25/9)-15[/tex]
[tex]\\ \sf\longmapsto -20/3+50/9-15[/tex]
[tex]\\ \sf\longmapsto (-60+50)/9-15[/tex]
[tex]\\ \sf\longmapsto -10/9-15[/tex]
[tex]\\ \sf\longmapsto -10-135/9[/tex]
[tex]\\ \sf\longmapsto -145/9[/tex]
[tex]\\ \sf\longmapsto 16\dfrac{-5}{9}[/tex]
Remainder=-5
Amat increased the amount of carbs he eats each day from 120g to 165g. By what percentage did he increase the amount of carbs he eats?
Answer:
32%
Step-by-step explanation:
If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of
getting exactly 6 tails?
Answer:
16.4% quick maths, ya dig?
.3 times the value of 8/4 of positive a witch equals the sum of what
a =34.55
Answer:
I have difficulty understanding the question. I read it as "What is the value of a number that when multiplied by 0.3 times (8/4) is equal to 34.55. This doesn't seem correct, but if it is:
Step-by-step explanation:
(0.3)*(8/4)x = 34.55
(8/4)x = 115.17
x = (4/8)*(115.17)
x = 57.58
21 is the correct answer.