Answer:
x = 5, y = 2
Step-by-step explanation:
First, isolate y in the top equation.
[tex]y = -5.3x+28.5[/tex]
Next, substitute y in the bottom equation.
[tex]4.2x + 3.1(-5.3x + 28.5) = 27.2[/tex]
[tex]5.3x + y = 28.5[/tex]
Simplify.
[tex]4.2x + -16.43x + 88.35 = 27.2[/tex]
Combine like terms.
[tex]-12.23x + 88.35 = 27.2[/tex]
Isolate x on one side.
[tex]-12.23x = -61.15[/tex]
Isolate x.
[tex]x = 5[/tex]
Substitute x into [tex]5.3x + y = 28.5[/tex]
[tex]5.3(5) + y = 28.5[/tex]
Simplify.
[tex]26.5 + y = 28.5[/tex]
Isolate y.
[tex]y = 2[/tex]
[tex]x = 5 \\y = 2[/tex]
Suzanne finances $315,000 with a 15/4 balloon mortgage at 3.75%, How much will she pay for principal and interest over the life of the loan?
$358,189.67
$357,416.36
$355,775,49
S356,638.32
Answer:
Step-by-step explanation:
Given that :
Hi. I need help with these questions (see image)
Please show workings.
Answer:
see explanation
Step-by-step explanation:
Using the chain rule
Given
y = f(g(x)), then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x) ← chain rule
and the standard derivatives
[tex]\frac{d}{dx}[/tex] ([tex]log_{a}[/tex] x ) = [tex]\frac{1}{xlna}[/tex] , [tex]\frac{d}{dx}[/tex](lnx) = [tex]\frac{1}{x}[/tex]
(a)
Given
y = [tex]log_{a}[/tex][tex]\sqrt{(1+x)}[/tex]
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{lna\sqrt{(1+x)} }[/tex] × [tex]\frac{d}{dx}[/tex] ([tex](1+x)^{\frac{1}{2} }[/tex]
= [tex]\frac{1}{lna\sqrt{(1+x)} }[/tex] × [tex]\frac{1}{2}[/tex] [tex](1+x)^{-\frac{1}{2} }[/tex] × [tex]\frac{d}{dx}[/tex] (1 + x)
= [tex]\frac{1}{lna\sqrt{(1+x)} }[/tex] × [tex]\frac{1}{2\sqrt{(1+x)} }[/tex] × 1
= [tex]\frac{1}{2lna(1+x)}[/tex]
= [tex]\frac{1}{(1+x)lna^2}[/tex]
(b)
Given
y = ln sinx
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{sinx}[/tex] × [tex]\frac{d}{dx}[/tex](sinx)
= [tex]\frac{1}{sinx}[/tex] × cosx
= [tex]\frac{cosx}{sinx}[/tex]
= cotx
CAN YOU HELP ME PLSSSSSSSSSSSSSSSSSSSSS
Answer: p + 8
Step-by-step explanation:4+ (p +7) - 3
You do 4+7-3=8+p
Complete the following
a)
3/5 = ./20
b)
./6=25/30
Answer:
a)12/20
because 5 × 4 = 20 so, 3 also needs to multiply by 4
b)5/6
because 30 ÷ 6 = 5, and 6 × 5 = 30,so, 25 needs to ÷ with 5
HELP ME ASAP
Lucy is baking a cake. The recipe requires 6 cups of flour and 8 cups of sugar. Which
ratio of cups of flour to cups of sugar can be used to make more than
B:
Step-by-step explanation
state the number of complex roots, the possible number of real, roots, and the number of possible rational roots of...
5x3 – 11x^2 + 7x – 1 = 0
Answer:
4
Step-by-step explanation:
what is the measure of the missing angle
Answer:
82.1
Step-by-step explanation:
a triangle will always be 180° so you add the numbers you have already and subtract them from the total
41.2 + 56.7 =97.9
180-97.9= 82.1
I will give BRAINLIEST
Describe how to round 3.897 to the nearest tenth
Answer:
To round 3.897 to the nearest tenth consider the hundredths’ value of 3.897, which is 9 and equal or more than 5. Therefore, the tenths value of 3.897 increases by 1 to 9.
3.897 rounded to the nearest tenth = 3.9
What is the missing lenght of X and Y?
Answer:
D. x = 2, y = 2
What is the measure of DBE?
A. 1200
B. 60°
C. 1800
D. 140°
E. 1000
Answer: I am pretty sure the answer is A, 120.
Step-by-step explanation:
Dana and Abby both visited their grandparents this week,
-Dana visits her grandparents every 4 weeks.
-Abby visits her grandparents every 6 weeks.
What is the fewest number of weeks that will pass before both girls visit their grandparents again in the same week?
**I will Mark BrainIest- I only have 6 minutes left please help!!**
Answer:
10 i think because I added them i don't know though I hope it work sorry
What are the coordinates of point K?
A. (3,3)
D. (10,3)
B. (3,7)
E. (10,10)
C. (7,10)
Answer: The answer is A, (3,3)
Step-by-step explanation: Because it would have to have the same x value as J, and the same y value as L because of where it is placed.
the cube of the sum of 3 and k
4. One number is 16 more than another. The ratio of the smaller number to
the larger number is 3: 7. What is the value of the smaller number?
Answer:
12
Step-by-step explanation:
So if the difference between the two number is 16 and the distance between the two numbers in the ratio is 4, that means the real numbers are 4 times greater than the ratio (because 4 * 4 = 16).
This means that you can multiply both sides of the ratio by 4 to get the two numbers 3: 7 --> 3*4: 7 * 4 --> 12: 28.
This means that the smaller number is 12.
hope that makes sense!
Solve for x.
I’m confused can someone help ?
Answer:
you just have to add 5x+120=180 , since all the angles should add to 180. Doing that, and x will be 12.
Step-by-step explanation:
[tex]180 - 60 - 60 = 5x \\ 5x = 60 \\ x = 12[/tex]
Graph the inequality X+6y<6
Answer:
can i see the picture?
please help i’ll give you and thanks and brainliest
Answer:
105
160
150
Step-by-step explanation:
This is just simple subtraction.
180-75=105
180-20=160
180-30=150
A $280 suit is marked down by 30%. Find the sale price.
The sale price is $
The sale price of suit will be $196.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
A $280 suit is marked down by 30%.
Now,
Since, A $280 suit is marked down by 30%.
Hence, The sale price = $280 - 30% of 280
= $280 - 30/100 × 280
= $280 - $84
= $196
Thus, The sale price of suit = $196.
Learn more about the percent visit:
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#SPJ1
Rewrite the problem using fewer words. Leave out information that you do not need to solve the problem. Then solve the problem. For a science project, you record the high temperature each day. The high temperature on Day 1 was 6°less than on Day 4 and 4°less than on Day 10. The high temperature on Day 10 was 62°F. What was the high temperature on Day 1?
Answer:
Each day, you record the high temperature* (you don't necessarily need to say that it is for a science project). On Day 1, it was 4* less than Day 10**. It hit 62* F on Day 10. What was the high temperature on Day 1?
Because we know that on Day 1, the temperature was 4* less than on Day 10, and the high temperature on Day 10 was 62*, the high temperature on Day 1 was therefore 58*. Because 62 - 4 = 58.
Step-by-step explanation:
*You don't necessarily need to say that it was for a science project.
**The information for Day 4 is irrelevant too because we are not given the temperature for Day 4, therefore it does not help us find the answer.
-4 + 8m + 9 - 3m help plssd
Answer:
5m + 5
Step-by-step explanation:
Combine like terms (terms with like & the same amount of the variable).
Set the equation:
(8m - 3m) + (9 - 4)
Simplify by combining like terms:
(8m - 3m) = 5m
(9 - 4) = 5
5m + 5 is your answer.
~
Answer:
5m+5
Step-by-step explanation:
Rewrite the equation below so that it does not have fractions.
5/6x+2= 7/8
Do not use decimals in your answer.
Answer:
20x=-27 standard form or
20x+27=0 for implicit form
Step-by-step explanation:
2, 8, 7, 8, 6, 15, 6, 3, 8
What is the range of the data?
A. 2
B. 6
C. 8
D. 13
E. 15
Answer:
13 or d
Step-by-step explanation:
The range of the data is D. 13
Given that,
The sequence is 2, 8, 7, 8, 6, 15, 6, 3, 8Calculation:The range is
= Highest number - lowest number
= 15 -2
= 13
Learn more about the range here: https://brainly.com/question/4135956?referrer=searchResults
A customer paid for different items at a farmer's
market. Find the cost for 1 pound for the
following item
$5 for 4 pounds of apples
What is the equation of the parabola?
Step-by-step explanation:
Show Solution. Start by writing the equation of the parabola in standard form. The standard form that applies to the given equation is (x−h)2=4p(y−k) ( x − h ) 2 = 4 p ( y − k ) . Thus, the axis of symmetry is parallel to the y-axis.
Solve for the value of v
Answer:
v=31
Step-by-step explanation:
You estimate there to be 597 students in the school. There are actually 624 students in the school. What is the percent error?
The expression 3(-2m + 5) - 6(-4m - 2) can be written in the form am + b.
What is the value of a + b? Plzz I need help
Answer:
5
Step-by-step explanation:
The computation is shown below:
Given that
3(-2m + 5) - 6(-4m - 2)
-6m + 15 + 24m + 12
18m + 27
Divided by 9
2m + 3
Here a = 2
And, b = 3
So, a + b = 2 + 3 = 5
What is m<1?
Show work you don’t have to but if you want to you can?
Answer:
m<1=88
Step-by-step explanation:
The two inside angles add up to the outside angle, so 44+44=88
(7x18+45) divided by 3 x 2
Answer: 28 1/2
Step-by-step explanation: (7 x 18 + 45) / 3 x 2
7 x 18
126
126+45
171
3 x 2
6
171/6 / 3/3
57/2
28 1/2