Answer:
Step-by-step explanation:
you divide the two to the y, which is x=3/2y
then, you simplify the second equation to y, which is -3y= -4x+12
then, you substitute the x=3/2y into the second equation,
-3y = -6+12
-3y = 6
y = -2
Substitute the y into the first equation, x= 3/2y,
x = -3
-3(x - 4) + x(2x + 3)
Step-by-step explanation:
-3(x - 4) + x(2x + 3)
= (-3x + 12) + (2x² + 3x)
= 2x² + 12
= 2(x² + 6).
Answer:
[tex] - 3(x - 4) + x (2x + 3) \\ = - 3x + 12 + 2 {x}^{2} + 3x \\ = 2 {x}^{2} + 12 \\ = 2( {x}^{2} + 6)[/tex]
2(x^2+6) is the right answer.
A rectangular sign has a height of 7 feet and a width of 24 feet. What is the length, in feet, of its diagonal!
O 15 1/2feet
O 17 feet
O 25 feet
O 31 feet
Answer:
answer 24×7
Step-by-step explanation:
answer ia an 409
24 students in a class took a math test. If 18 students passed the test, what percent passed?
Answer:
18 students is the amount that passed the test
so the fraction would be 18/24, which can be simplified to 3/4, which is 75% of the class.
75% of the class passed
0.75% of the class passed
Answer:
75%
Step-by-step explanation:
24 x 0.75 (75% as a decimal) = 18
1
1. Sally walked two-thirds of a mile for 9 days in a row. Use the model below to determine how far she
walked in 9 days?
Answer:
she walked 6 miles in the 9 days
Isabelle has $5.45 in her purse. If she has five more nickels than dimes, and twice as many quarters than dimes, how many of each type of coin does she have?
Answer:
Nickel = 13
Dimes = 8
Quarters = 16
Step-by-step explanation:
Let N denote Nickel,
Let D denote dime
Let Q denote quarter
Now, from online conversions;
1 nickel = 5 cents
Also, 1 dime = 10 cents
Also, 1 quarter = 25 cents
Isabelle has $5.45 which is also 545 cents.
Thus, we have;
5N + 10D + 25Q = 545 - - - (eq 1)
We are told that;
she has five more nickels than dimes, and twice as many quarters than dimes.
Thus;
N = D + 5
Also, Q = 2D
Plugging them for N and Q in eq 1 givens;
5(D +5) + 10D + 25(2D) = 545
5D + 25 + 10D + 50D = 545
25 + 65D = 545
65D = 545 - 25
65D = 520
D = 520/65
D = 8
Thus; N = D + 5 = 8 + 5 = 13
Q = 2D = 2 × 8 = 16
y is such that 4y - 7 ≤ 3y and 3y ≤ 5y + 8.
A. What range of values of y satisfies both inequalities?
B. Hence express 4y - 7 ≤ 3y ≤ 5y + 8 in the form a ≤ y ≤ b, where a and b are both integers.
( I will give brainliest to whoever answers correctly)
Answer:
-4 ≤ y ≤ 7
Step-by-step explanation:
Inequalities
Solve the system of inequalities:
4y - 7 ≤ 3y [1]
3y ≤ 5y + 8 [2]
A.
Subtracting 3y to [1]:
y - 7 ≤ 0
Adding 7:
y ≤ 7
Subtracting 5y to [2]:
-2y ≤ 8
Dividing by -2 (and flipping the sign):
y ≥ -4
The solution of the system is all the values of y greater or equal to -4 and less or equal to 7.
B.
The solution can be expressed as:
-4 ≤ y ≤ 7
Solve for x in simplest form.
2= 1/2 (5x-8)
Answer:
x = [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
Given
2 = [tex]\frac{1}{2}[/tex] (5x - 8) ( multiply both sides by 2 to clear the fraction )
4 = 5x - 8 ( add 8 to both sides )
12 = 5x ( divide both sides by 5 )
[tex]\frac{12}{5}[/tex] = x
B,A,D,C which one?...............
Answer: C
Step-by-step explanation:
IT IS RIGHT ON -2
find the area of the triangle formed by the vertex and x-intercepts of parabola y=-x^2-3x+10
Answer:
42.875
Step-by-step explanation:
First you find the x-intercepts and the vertex of the equation.
(-5, 0), (-2, 0), (-3/2, 49/4)
You use those coordinates to find the sides of the triangle and then you use the lengths to find the semiperimeter.
Lastly, you use Heron's formula to compute the area.
The area of the triangle is required.
The area of the triangle is [tex]42.875\ \text{units}^2[/tex]
[tex]y=-x^2-3x+10[/tex]
The x intercepts are
[tex]-x^2-3x+10=0\\\Rightarrow x=\dfrac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\left(-1\right)\times 10}}{2\left(-1\right)}\\\Rightarrow x=-5,2[/tex]
The x intercepts are
[tex](-5,0),(2,0)[/tex]
Distance between them is
[tex]2-(-5)=7\ \text{units}[/tex]
Vertex of a parabola is given by
[tex]x=-\dfrac{b}{2a}\\ =-\dfrac{-3}{2\times -1}\\ =-1.5[/tex]
[tex]y=-(-1.5)^2-3(-1.5)+10=12.25[/tex]
So,
Base = b = 7 units
Height = h = 12.25 units
Area is
[tex]A=\dfrac{1}{2}bh\\\Rightarrow A=\dfrac{1}{2}\times 7\times 12.25\\\Rightarrow A=42.875\ \text{units}^2[/tex]
Learn more:
https://brainly.com/question/11952845?referrer=searchResults
Factor the polynomial.
14x^3 - 2x^2 + 8x
A. 7(2x^3 – 2x^2 +8x)
B. X(14x^2 – 2x+8)
C. 7x(2x^3 – x+8)
D. 2x(7x^2 – x +4)
Answer:
D
Step-by-step explanation:
HELP ASAP PLEASE! I BEG YOUUUU
Answer: the answer would be 55 but since its says to round to the nearest hundred this would be 50 because its the closest and both lines are equivalent to be the same. plz brainliest plz
Step-by-step explanation:
How many centimeters are there in 2 yards if there are 2.54 centimeters per inch. Show your work and express your answer without rounding.
Answer:
There are 182.88 cm in 2 yards.
Step-by-step explanation:
Given that,
1 inch = 2.54 cm
We need to find how many centimeters are there in 2 yards.
We know that,
1 yard = 36 inch
⇒ 2 yards = (2×36) inches
= 72 inches
It means,
72 inches = (72 × 2.54) cm
= 182.88 cm
Hence, there are 182.88 cm in 2 yards.
What must m∠QPS be for PQRS to be a parallelogram?
Answer:
It’s B
Step-by-step explanation:
For the shape to be a quadrilateral, then the value of ∠QPS must be (b) 59 degrees
For quadrilateral PQRS to be an actual quadrilateral, then:
[tex]\angle RQP = \angle PSR[/tex] --- opposite angles of quadrilateral[tex]\angle QPS + \angle PSR = 180[/tex] --- adjacent angles of quadrilateral[tex]\angle RQP = \angle PSR[/tex] implies that:
[tex]6x + 13 = 7x - 5[/tex]
Collect like terms
[tex]6x - 7x = -13 - 5[/tex]
[tex]-x = -18[/tex]
Multiply both sides by -1
[tex]x = 18[/tex]
[tex]\angle QPS + \angle PSR = 180[/tex] implies that
[tex]\angle QPS + 7x - 5 = 180[/tex]
Substitute 18 for x
[tex]\angle QPS + 7(18) - 5 = 180[/tex]
Collect like terms
[tex]\angle QPS= 180 +5 - 7(18)[/tex]
[tex]\angle QPS= 59[/tex]
Hence, the measure of angle QPS must be (b) 59 degrees
Read more about quadrilaterals at:
https://brainly.com/question/25696839
Colin buys a car for £45500. It decreases in price 6% per year. How much will it be worth in 3 years?
Answer:
The answer is 33,710 euros.
Step-by-step explanation:
Start by multiplying 45,550 by 6%. This will give 2,730. over the next three years the price decreases, so multiply 2,730 by 3, which is 8,190. Finally, subtract 45,550 by 8,190 to get 33,710.
what is the range of the function f(x)=7-3x when the domain is -4, -2, 0, 2?
pls help asap. i’m giving 75 points
You put $500 in the bank, where it earns 1.5% simple interest each year. How long until your money will triple? Pls hurry awnser only if you know
Answer:
133.33
Step-by-step explanation:
In 133.33 years, the principal amount of $500 at the rate of 1.5% per year will triple.
What is simple interest?Simple interest is an interest which is only based on principal amount, it does not imply on yearly interest.
Given that,
The principal amount put in the bank p= $500
The rate of simple interest r= 1.5 %
Amount will be triple, implies that, Interest would be two times of principal.
Interest = 2 x 500 = 1000
To find the time t, when amount gets triple, use simple interest formula
Interest = (p x r x t)/100
1000 = (500 x 1.5 x t)/100
200/1.5 = t
133.33 = t
The required time in which the money will triple is 133.33 years.
To learn more about Simple Interest on:
https://brainly.com/question/25845758
#SPJ2
I will Give Brainliest!!! √25y⁸ Can someone help me with the answer please.
Answer:
5y^8
Step-by-step explanation:
Simplifies to:
5y^8
=5*y^8
=5*(y*y*y*y*y*y*y*y)
=5y^8
3. Below is Linbell's weekly work
schedule. If he works for 18 weeks, how
many days does he work?
A-40 days
B-42 days
C-72 days
D-80 days
Answer:
72
Step-by-step explanation:
so he is working 4 day in a week
and 4 day times 18 weeks =18x4=72
D
Question 1
a
What is the Least common denominator (LCD) of
1/6 and 1/9 and 1/18
Answer:
its gonna be 1/18
Step-by-step explanation:
I'm pretty good at math honestly tbis was easy
Write 0.68 as a fraction in it's simplest form.
68
6 eighths
34
3 fourths
1725
17 over 25
68100
68 over 100
BRAINLIEST IF CORRECT its easy but i think a b or d mostly b for some reason i need to see if im correct
Reflect the point (-12, -3) over both axes.
A.(12, -3)
B.(-12, 3)
C.(12, 3)
D.(3, 12)
Answer:
Actually it’s d
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
I need help I don’t really understand
Answer:
can you make the graph bigger please?
Slope of (10,8) (2,1)
Answer:
slope=7/8
Step-by-step explanation:
8-1/10-2= 7/8
Solve each system by eliminati 1) 10x - 4y = 24 7x - 4y= 12
Answer:
Step-by-step explanation:
10x - 4y=24
7x -4y=12 multiply this equation by -1
-7x+4y=-12 we add it to the first and we get
3x=12
x=12/3=4
replace x with 3 in first equation
40-4y=24
40-24=4y
16=4y
y=4, x=4
Please help me with this homework
Step-by-step explanation:
You add 4 each time:
10+4=14
14+4=18
18+4=22
22+4=26
26+4=30
hope this helps <3
How much is the
60% of 4/5
Answer:
0.48
Step-by-step explanation:
Christine is saving money to buy a game. So far she has saved $24, which is two-thirds of the total cost of the game. How much does the game cost?
Answer:
$36
Step-by-step explanation:
2/3 = $24
divide 24 by 2 to find 1/3
1/3 = $12
3/3 = (12 + 12 + 12 )
3/3 = 36
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1 and y-intercept at (0, -1)?
O A. y = - 1/4x - 1 / 4
O B. y= 4x-1
O C. y= 1/4x+1
O D. y= 1/4x+-1
Answer:
the answer is A
Step-by-step explanation:
Please help with this 1 question! -3-||
please help me please will give brainliest
multiple questions
please will give brainliest
Answer:
A. less than three batteries were used in five hours.
Answer:
a
Step-by-step explanation:
