Answer:
{d,b}={4,3}
Step-by-step explanation:
[1] 11d + 17b = 95
[2] d + b = 7
Graphic Representation of the Equations :
17b + 11d = 95 b + d = 7
Solve by Substitution :
// Solve equation [2] for the variable b
[2] b = -d + 7
// Plug this in for variable b in equation [1]
[1] 11d + 17•(-d +7) = 95
[1] -6d = -24
// Solve equation [1] for the variable d
[1] 6d = 24
[1] d = 4
// By now we know this much :
d = 4
b = -d+7
// Use the d value to solve for b
b = -(4)+7 = 3
Solution :
{d,b} = {4,3}
Answer:
B = 3
d = 4
Step-by-step explanation:
You can use elimination method. Multiply (d + b = 7) by -11.
11d + 17b = 95
-11d - 11b = -77
add together. D’s will cancel
6b = 18
divide by 6
b = 3
plug in 3 for b in the equation of your choice
d + (3) = 7
subtract 3
d = 4
Derin is buying a new car at the price of $14,799.99. If he must pay 5% in sales tax, how much will his new car really cost him
Two interior angles of a triangle measure 56° and 37°. What is the third interior angle
of the triangle?
4.
Answer:
87 degree
Step-by-step explanation:
interior angle is 180
So 56+37 = 93
180-93 = 87
Answer:
Step-by-step explanation:
we know that the sum of the angles in a triangle = 180 degrees
the third angle will be = 180-(56+37)=87
Kris's bike used up 4.5 gallons of gas to cover a distance of 297 miles.Jack travels 366 miles on a full tank capacity of 6 gallons.Ben's bike consumed 5.2 gallons of gas for a 265.2 miles long drive. Whose bike gave the best mileage
Answer:
Ben's bike gave the best mileage.
Step-by-step explanation:
Kris's bike mileage = 297 / 4.5
Kris's bike mileage = 66 mile/gallon
Jack's bike mileage = 366 / 6
Jack's bike mileage = 61 mile/gallon
Ben's bike mileage = 265.2 / 5.2
Ben's bike mileage = 51 mile/gallon
Ben's bike gave the best mileage
Dylan opened a credit card account with $575.00 of available credit. Now that he has made some purchases, Dylan's account only has $465.75 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
A.
14%
B.
81%
C.
19%
D.
23%
Answer:
C.) 19% decrese
Step-by-step explanation:
575.00 - 465.75 = 109.25
109.25/575.00 = 0.19
0.19 = 19%
575.00 - 465.75 = 109.25
109.25/575.00 = 0.19 = 19%
Therefore, the percentage decrease of the amount of available credit in Dylan's account is 19%.
What is f(x) - g(x)
f(x)=x^2 + 2x - 5
g(x)= -3x^2 - 4x + 1
Answer:
f(x)=(−1,−6)
g(x)=(−2/3,7/3)
Step-by-step explanation:
What are we finding the vertex
Answer:
A. -2x^2-2x-4
Step-by-step explanation:
:D
You spent $24 more than Pam. If you spent $82, how much money did Pam spend? Write and solve an equation.
Answer:
$58
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
82-24=58
Which expression is equal to the expression below?
(7•2)^7
A. 7^7 + 2^7
B. 7^7 • 2^7
C. 7 • (7•2)
D. 9^7
Answer:
c
Step-by-step explanation:
Which will yield the larger balance in one year? $3,000 at 6% compounded twice a year
$3,000 at 6% compounded quarterly
Answer:
quarterly
Step-by-step explanation:
In the triangle below, what is the length of the hypotenuse?
A. 3√3
B. 6
C. 3√2
D. √3
Answer:
B. 6Step-by-step explanation:
I'd like to begin by apologizing for the late reply.
PROCESS:
1) Begin by analyzing the triangle
2) Notice how you can take the sin of 30 to find the hypotenuse
3) sin30= 3/x
4) If you don't see how I did that, a fun trig word play for functions, is
S O/H
C A/H
T O/A
where
S= Sine
C= Cosine
T= Tangent
O= Opposite
H= Hypotenuse
A= Adjacent
so side opposite of 30 is side 3, and the hypotenuse is x.
5) sin30= 3/x = 6
6) Your answer, hypotenuse is 6
BONUS: If you want to find the base length, use Pythagorean theorem.
c=√a2+b2
b=√c2-a2= √6^2 - 3^2= 5.19 or 5.2
Will is buying a house for $185,000. He is financing $165,000 and obtained a 30-year, fixed-rate mortgage with a 6.725% interest rate. How much are his monthly payments? (2 points)
=================================================
Work Shown:
L = 165000 = loan amount or amount financed
r = 0.06725 = annual interest rate in decimal form
i = r/12 = 0.06725/12 = 0.005604167
i = 0.005604167 = approximate monthly interest rate in decimal form
n = number of months = 30*12 = 360 months
P = unknown monthly payment
--------------
Apply the monthly payment formula
P = (L*i)/( 1-(1+i)^(-n) )
P = (165000*0.005604167)/(1-(1+0.005604167)^(-360))
P = 1067.44636311118
P = 1067.45
which of the following graphs is f(2) = 5
Answer:
None.
Step-by-step explanation:
Where are the graphs? We need the extra information to complete this problem.
If \triangle ABC△ABC is equilateral, solve for x.
x=
Answer:
x = 13
Step-by-step explanation:
The tirangle ABC is given as equilateral. Every angle is therefore =. Not only that, each angle is 60 degrees.
If you need proof of that, remember that x + x + x = 180. Every triangle has 180 degrees.
if 3x = 180 then 1 x is 60
8x - 44 = 60 Add 44 to both sides.
8x = 60 + 44
8x = 104 Divide by 8
x = 104/8
x = 13
Given that x² -x -2 is a factor of x³ +3 x² +ax +b, calculate the values of a and b and hence find the remaining factor.
Answer:
[tex]a = -6, b = - 8[/tex]
Remaining factor = [tex]x+4[/tex]
Step-by-step explanation:
Given that:
Two polynomials:
[tex]x^{2} -x-2[/tex] and [tex]x^3 +3 x^2 +ax +b[/tex]
[tex]x^{2} -x-2[/tex] is a factor of [tex]x^3 +3 x^2 +ax +b[/tex].
To find:
The values of [tex]a[/tex] and [tex]b[/tex] from the cubic equation and the remaining factor.
Solution:
Let us first of all, factorize [tex]x^{2} -x-2[/tex].
[tex]x^{2} -2x+x-2=0\\\Rightarrow x(x-2)+1(x-2)=0\\\Rightarrow (x+1)(x-2)=0\\\Rightarrow x = -1, 2[/tex]
There are two factors of the given quadratic equation.
These two factors must also be factors of the cubic equation as well.
Putting [tex]x = 2[/tex]:
[tex]2^3 +3 \times 2^2 +a\times 2 +b =0\\\Rightarrow 2a+b=-20 ..... (1)[/tex]
Putting [tex]x = -1[/tex]:
[tex](-1)^3 +3 \times (-1)^2 +a\times (-1) +b =0\\\Rightarrow -a+b=-2 ..... (2)[/tex]
Subtracting (2) from (1):
[tex]3a = -18\\\Rightarrow a = -6[/tex]
From equation (1):
[tex]2\times (-6) + b=-20\\\Rightarrow b = -8[/tex]
Putting the values of [tex]a[/tex] and [tex]b[/tex] in the cubic equation, we get:
[tex]x^3 +3 x^2 -6x -8[/tex]
Dividing the cubic equation with quadratic, we get:
[tex]\dfrac{x^3 +3 x^2 -6x -8}{x^{2} -x-2} = x+4[/tex]
What is the slope of 9,7 and 3,5
Answer:
slope is 1/3
Step-by-step explanation:
Answer: 1/3
Step-by-step explanation: slope is difference in y values over difference in x values
Toni drives a boat 15 km/h upstream and then turns around and drives 25 km/h back downstream to her
starting point. If her total driving time is 4 hours, for how long does she drive upstream? Write and solve an
equation to determine the answer. !!!PLEASE HELP!!!
Answer:
plz help
Step-by-step explanation:
double checking!!!
i think it's figure a but not sure!!!!
Answer:
figure a
Step-by-step explanation:
figure a is the only figure that has the same shape as the figure with the "*" next to it
Answer: I think it is A. It is the most likely to be compared to the star.
Step-by-step explanation: I hoped this helps
A rock is thrown straight up from the top of a bridge that is 75 ft high with an initial velocity of 32 ft/s. The height of the object can be modeled by the equation s(t) = -16t2 + 32t + 75. Determine the time(s) the ball is lower than the bridge in interval notation.
In two or more complete sentences, explain why (-∞,0) is not included in the solution.
The ball is lower than the bridge at the interval [2, 3.385] and (-∞,0) contains negative values
How to determine the time the balloon lower than the bridge?The equation of the function is given as
h(t)= -16t^2 + 32t + 75
The above equation is a quadratic equation
When the balloon is less than the bridge i.e. a height of 75 feet, we have
h(t) < 75
So, we have the following equation and inequality
h(t)= -16t^2 + 32t + 7
h(t) < 75
Next, we plot the equation and inequality on a graph (see attachment)
The equations intersect at
t = 0 and t = 2
Remove when t = 0
t = 2
The ball hits the ground at t = 3.385
So, the interval is [2, 3.385]
Also, (-∞,0) is not included in the solution because time cannot be negative
Read more about quadratic equation at
https://brainly.com/question/28807522
#SPJ1
Simplify each expression.
4 x 10
Answer:
1 x 40
Step-by-step explanation:
Isabelle is planning a road trip to her friend's house. She looks at a map that has a scale of in. To 25 mi. The road distance between her home town and her friend's town measures 1/2 in. On the map. If d represents the road distance between the two towns, what is d?
This question is incomplete
Isabelle is planning a road trip to her friend's house. She looks at a map that has a scale of 1/2 in. to 25 mi. The road distance between her home town and her friend's town measures 12 in. on the map. If d represents the road distance between the two towns, what is d?
Answer:
600 miles
Step-by-step explanation:
From the question:
1/2 inches = 25 miles
12 inches = x
1/2 × x = 25 × 12
x = (25 × 12) ÷ 1/2
x = 25 × 12 × 2
x = 600 miles
Therefore the road distance between two towns = 600 miles
Which measurement is the best estimate for the length of a clothespin?
9 cm
9 km
9 mm
9 m
factorise the expression 4(x+1)^2-49 . plz solve this i will mark you the brainliest
Answer:The answer is : Expand the square
4(x+1)the second square - 49
4(x+1)x+1)-49
The solution is : 4x second square + 8x - 45
Step-by-step explanation:
A company owns two dealerships, both of which sells cars and motorcycles. The first dealer sells a total of 214 cars and motorcycles the second dealership sells twice as many cars in half as many motorcycles as first dealership and sells a total of 239 cars and motorcycles
Answer:
294 cars
Step-by-step explanation:
hope this helpt touch thanks it my birth day
can someone to my last question
Which of the following numbers is between 5 and 10 on a number line? Select two that apply.
Answer:
√38 , √44
Step-by-step explanation:
√25 = 5 and √100 = 10
So, required numbers should be between √25 and √100
And so, they are √38 , √44
(Edit) I was wrong nevermind.
Randall graphed the equation y=-2x+3 as follows:
Did Randall correctly graph the equation?
A. Yes he correctly graphed the equation B. No he graphed the line with a slope of 2 instead of -2 C. No, Randall graphed the line with a slope of -1/2 instead of -2 D. No, Randall graphed an x-intercept of (3,0) instead of y-intercept (0,3)
Answer:
C.
Step-by-step explanation:
Hope I could help :)))
PLEASE HELP WITH THE CORRECT ANSWERRRR PLEASE
What value of b makes the trinomial below a perfect square?
x^2-bx + 100
A. 20
B. 10
C. 5
D. 50
Answer:
B
Step-by-step explanation:
Write the first five terms in the arithmetic sequence. f(n + 1) = f(n) – 19, f(1) = 34
Answer:
34, 15, -4, -23 and -42
Step-by-step explanation:
We are to find the first five sequence
when n = 1
f(2) = f(1) - 19
f(2) = 34 - 19
f(2) = 15
when n = 2
f(2+1) = f(2) - 19
f(3) = f(2) - 19
f(3) = 15 - 19
f(3) = -4
when n = 3
f(3+1) = f(3) - 19
f(4) = f(3) - 19
f(4) = -4 - 19
f(4) = -23
when n = 4
f(4+1) = f(4) - 19
f(5) = f(4) - 19
f(5) = -23 - 19
f(5) = -42
Hence the first five terms in the arithmetic sequence are 34, 15, -4, -23 and -42
you'd like your pendulum to take 20 seconds to complete a cycle how long will the pendulum need to be? is the reasonable in your building which is planned to be 20 feet long?
Answer:
Concept: Mathematical Analysis
The full rotation of a pendulum is attached, plug in the values and solve.Rate brainlist.How can the additive inverse be used to evaluate the problem below?
Negative 3 minus (negative 6)
Answer:3
Step-by-step explanation:
-3--9
-3+9=6
Answer:
Its D
Step-by-step explanation:
100 on quiz
Solve for z. 2z − 3 = 1
Answer:
z = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
2z - 3 = 1
Step 2: Solve for z
Add 3 on both sides: 2z = 4Divide 2 on both sides: z = 2