Answer: -34
Step-by-step explanation:
66 minus 100 is negative 34.
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Find the x-intercept and the y-intercept of the graph of the equation.
4x + 5y = 20
The x-intercept is
The y-intercept is
(Type an integer.)
(Type an integer.)
The x-intercept and y-intercept of the graph is (5,0) and (0,4)
How to find the intercept ?
When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.
1. To find the x-intercept we put y=0
The equation becomes
4x + 5(0) = 20
4x = 20
x = [tex]\frac{20}{4}[/tex]
x = 5
∴ The x-intercept is (5,0)
2. To find the y-intercept we put x=0
The equation becomes
4(0) + 5y = 20
5y = 20
y = [tex]\frac{20}{5}[/tex]
y = 4
∴ The y-intercept is (0,4)
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Two planes are parallel and each plane contains a line. Are the two lines skew? Explain your reasoning.
If Two planes are parallel and each plane contains a line, the two lines are not skew because In the event that any two lines fall on a single plane, they will either intersect or be parallel to one another. Both instances violate the concept of a skew line because the skew lines are neither parallel nor intersect.
Do two parallel lines on a plane have a skew?Infinitely many lines cross through, yet only one of them is parallel to. Lines that never intersect and are in distinct planes are known as skew lines. Parallel lines and skew lines are distinguished by the fact that they both reside in the same plane, whereas skew lines do not.
The two lines would overlap at some point if the two planes on which they are located weren't parallel, which again defies the definition of skew lines.
Therefore, The skew lines are thus present if and only if both lines fall on a pair of parallel planes.
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please help what is the answer and how do you do it
The graph represents a one-to-one function because every x-value is paired with only one y-value.
The graph represents a one-to-one function because it is defined for all x-values.
The graph does not represent a one-to-one function because it does not pass through the origin.
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
The correct statement regarding whether the graph is a one-to-one function is:
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
What is an one-to-one function?An one-to-one function is a function in which each output is related to only one input, that is, there are no horizontally aligned points.
These horizontally aligned points happen when an horizontal line is traced on the graph of the function, and crosses the function more than once.
From the graph of the function given by the image at the end of the answer, it can be seen that this line would cross the function twice for values of y between 0 and 2, hence the correct option is:
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
Missing InformationThe problem asks for the correct statement regarding the function given on the image at the end of the answer.
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[tex]\sqrt{|x|^2} =x[/tex]
Answer?
The solution to the equation given as √|x|² = x is x ≥ 0
How to solve the equation?From the question, the representation of the equation is given as
√|x|² = x
To start with;
We evaluate the square root expression in the equation
So, we have the following representation
|x| = x
The above implies that the absolute value of a number equals the number
As a general rule of absolute values, the absolute value of a number is positive
This can be represented as
x ≥ 0
Hence, the solution to the equation is x ≥ 0
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A couple buys a $290000 home, making a down payment of 15%. The couple finances the purchase with a 15
year mortgage at an annual rate of 3.4%. Find the monthly payment.
per month.
If the couple decides to increase their monthly payment to $1950, find the number of payments.
payments (give 2 decimal places)
which we would round up to
total payments.
The monthly payment for the first condition is $1750.11 and the total number of payments is 156.
What is the monthly payment?
Monthly payment is defined as the amount paid every month depending on the terms of the mortgage loan. This includes the principal, which is the actual balance on the loan, and the interest on the loan.
The formula for monthly payments on the mortgage is given:
[tex]MP = \frac{P(\frac{r}{n}) }{1- (1+\frac{r}{n})^{-nt} }[/tex]
where, MP = monthly payment
P = principal amount
r = rate of interest
n = number of payments per year
t = number of years
Given, a couple buys a house for $290000 and makes a down payment of 15%
Down payment = 0.15*290000 = $ 43500
First condition,
Present value of loan (P) = $290000 - $43500 = $246500
rate of interest (r) = 3.4% = 0.034
number of payments per year (n) = 12
number of years (t) = 15 years
Then, the monthly payment is calculated by:
[tex]MP = \frac{246500(\frac{0.034}{12}) }{1- (1+\frac{0.034}{12})^{-12*15} } = 1750.11[/tex]
Therefore, monthly payment = $1750.11
Second condition,
monthly payment (MP) = $1950
Present value of loan (P) = $290000 - $43500 = $246500
rate of interest (r) = 3.4% = 0.034
number of payments per year (n) = 12
time in years (t) = x years
Then,
or, [tex]1950 = \frac{246500(\frac{0.034}{12}) }{1- (1+\frac{0.034}{12})^{-12*x} }[/tex]
or, [tex]x = 13.06 = 13[/tex]
So, the total number of payments = 13*12 = 156
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Lol help quick pleaseeeeeeeeee
The answer to be entered in the boxes for the area model is 17, 0 and 17
How to find the division problem the area model represents?
An area model is a rectangular diagram or model used for solving multiplication and division problems, in which the quotient and divisor define the length and width of the rectangle
Given:
....60.....1.............
36|2160 | 36 | 17
2160 ÷ 36 = 60 R 0
36 ÷ 36 = 1 R 0
17 ÷ 36 = 0 R 17
Note: (0 x 36) + 17 = 17
Therefore, the answer to be entered in the boxes is 17, 0 and 17 respectively
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One bulldozer clears land twice as fast as another. Together they clear a large tract in 1.5 hours. How long would the larger bulldozer take?
The larger bulldozer would take about 30 minutes.
If I am wrong please let me know by commenting on this answer!
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Expand and Simplify (x+5)(x-2)
Answer:
[tex]x^2+3x-10[/tex]
Step-by-step explanation:
To expand you must do this:
[tex]x*x+(-2x)+(5x)-10\\x^2-2x+5x-10\\x^2+3x-10[/tex]
Help!! In two or more sentences , explain how to find the time it takes for a rocket following the path h(x)= -4x^2 + 16x to hit the ground
The time it takes for a rocket following the path h(x)= -4x² + 16x to hit the ground is 4 seconds.
How to find the time for a rocket to hit the ground?
The given path equation is a function of x which is a time variable here. When the rocket hits ground, height of the rocket gets zero.
Hence equating the equation of height to zero and solving for x will give the time required for the rocket to hit the ground.
According to the given question:
We are given equation for height as
h(x) = -4x² + 16x
where x is the time in seconds
When object hits the ground the height becomes 0
So, we can set h(x) = 0 and then we can solve for x
-4x² + 16x = 0
Dividing by -4x from both sides
x - 4 = 0
x = 4 sec
So, the time it takes for a rocket to hit the ground is 4 seconds.
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Which of the following represents an equation in standard form for the line that passes through (3, -1) and (-5, -3).
O A y-tx-1
OB 7x-4y = 1
OC. x - 4y = 7
D 4x-y=7
Answer:
Step-by-step explanation:
y = ¼x + (-7/4) is the standard form for the line that passes through (3, −1) and (−5, −3)
What is Slope intercept form?
y=mx=c is the slope intercept form of a line, m is the slope.
We need to find equation of line passing through (3, −1) and (−5, −3)
First we need to calculate slope 'm'.
slope m = y2- y1 / x2-x1
y2=-3, y1=-1, x2=-5, x1=3
m= -3 - (-1)/(-5)-3 = -2/-8=1/4
Equation of line, y=mx+c
find C in the equation (y=mx+c)
C = y-mx
C = -1-1/4(3)= -7/4
now replace the values you find in the equation (y=Mx+C)
y =1/4x-7/4
Hence y =1/4x-7/4 is the equation of line passes through (3, −1) and (−5, −3).
Is g = 10 a solution to the inequality below?
g≤ 4
yes
Submit
S
Answer:
yes it is
atleat i think
sin(2x)cos(7x) - cos(2x)sin(7x)= -0.1
Answer:
sin(2x)cos(7x) - cos(2x)sin(7x)= -0.1
Find the values of x and y that satisfy the equation.
22 + 1/5yi = 2x - 2
Answer:
[tex]x=12, y=0[/tex]
Step-by-step explanation:
[tex]22+\frac{1}{5}yi=2x-2 \\ \\ (24-2x)+\frac{1}{5}yi[/tex]=0[/tex]
Setting the real and imaginary parts of the left hand side equal to 0,
[tex]24-2x=0 \implies x=12 \\ \\ \frac{1}{5}y=0 \implies y=0[/tex]
Can anyone write the equation of this graph?
The absolute value equation graphed is defined by the rule given as follows:
y = |x - 3| + 6.
What is the function graphed?The function graphed is an absolute value equation, due to it's v format.
The equation that represents an absolute value function with vertex (h,k) is given by the rule presented as follows:
y = |x - h| + k.
On the graph, this vertex is the turning point of the absolute value function.
For the graphed function, the coordinates of the vertex are given as follows:
x = 3, as the turning point of the graphed function has an horizontal coordinate of 3, hence h = x = 3.y = 6, as the turning point of the graphed function has a vertical coordinate of 6, hence k = y = 6.Then the coordinates of the vertex are:
(3,6).
The equation of the graphed absolute value function is:
y = |x - 3| + 6.
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The shaded area below is 79 m².
Work out the area of the smaller rectangle.
If your answer is a decimal, give it to 2 d.p.
x+4 m
x + 3 m
x+2m
2x+5 m
Not drawn accurately
Answer:
[tex](x + 4)(2x + 5) - (x + 3)(x + 2) = 79 \\ 2x {}^{2} + 5x + 8x + 20 - {x}^{2} - 2x - 3x - 6 = 79 \\ {x}^{2} + 8x + 14 = 79 \\ {x}^{2} + 8x - 65 = 0 \\ {x}^{2} + 13x - 5x - 65 = 0 \\ x(x + 13) - 5( x + 13) = 0 \\ (x - 5)(x + 13) = 0[/tex]
x-5=0
x=5
the length of smaller rectangle= 8 m
and breadth of s. rectangle= 7 m
l x b = 8 x 7
[tex]56 {m}^{2} [/tex]
hopefully this will u
What is the value of y in the equation 2(2y − 16) = 0? (5 points)
a 4
b 6
c 8
d 9
Answer:
the options are wrong
Step-by-step explanation:
open the bracket2(2y)2(-16)=04y-32=0make y the subject of formulary=-32÷4y=-8Answer:
C. 8
Step-by-step explanation:
2 x 8 = 16
16 - 16 = 0
2 x 0 = 0
Add/Subtract Rational Numbers :
Add ; -1/2 + 2/3 (Simplify)
Evaluate ; -1/8 - (-5/6) (Simplify)
Find the length and the width.
Answer:
Length would be 6ft
Width would be 4ft
Step-by-step explanation:
24ft^2 is the area as we know 6x4 = 24 and 4 is two less than 6, therefor your answer is 4 and 6.
Trigonometry find the length of AC
Give your answer to the nearest decimal
The length AC of the triangle will be 10.6 units
What are trigonometric functions?
The trigonometric functions (also called circular functions, angle functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Given is a right angled ΔABC as shown in the figure.
We have the image as shown in the figure. In the right angled triangle -
Sin(62°) = CA/CB
Sin(62°) = CA/12
CA = 12 x Sin(62°)
CA = 12 x 0.88
CA = 10.6
Therefore, the length AC of the triangle will be 10.6 units
Therefore, by following the steps above, we can plot the graph of →
y = 5 cos(2x + π/3) - 1
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[Refer to image attached for full question]
16 divided by the sum of 2 and 6
Answer:
Step-by-step explanation:
16/(2+6)
16/8=2
Slope:
Y-intercept
Equation:
y-intercept: (0,60)
This is given in the table.
Slope: [tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Using (1,50) and (2,40):
[tex]m = \dfrac{40 - 50}{2-1} = \dfrac{-10}{1} = -10[/tex]
The slope is -10.
Using the slope-intercept form (y=mx+b) and the fact that we found m=-10 and b=60 from the table, the equation is:
y = -10x + 60
The dimensions of two rectangular prisms are shown below. How much more volume does the larger prism have than the smaller prism?
Answer:16/25 :D
Step-by-step explanation:does that help :3
pls help me with this
Answer:
31-6/1-1
=25/0
=undefined
Im not sure how to do this, could one of you give me the answer on how to do this?
Answer:
2x+4=52
2x+19=67
2x+13=61
(I gotta be honest I can’t fully remember how to name the angles but to not set you astray I just put the equation each angle goes to)
x=24
Step-by-step explanation:
the sum of all three angles is equal to 180 degrees
So we can add all of these angles and set it equal to 180 like this
(2x+19)+(2x+4)+(2x+13)=180
Simplify by adding common terms
6x+36=180
-36. -36
6x=144
/6. /6
x=24
So now to find the angles we just fill in x with 24
2(24)+4
48+4
52
2(24)+19
48+19
67
2(24)+13
48+13
61
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Dividing the polynomial P(x) by x + 2 yields a quotient Q(x) and a remainder of 8. If Q(2) = 5, find P(-2) and p(2)
================================================
Explanation:
Part A) Find P(-2)
We'll divide P(x) over (x+2) to get a quotient Q(x) and remainder 8 like so
P(x)/(x+2) = quotient + remainder/(x+2)
P(x)/(x+2) = Q(x) + 8/(x+2)
When multiplying both sides by (x+2), it clears out the fractions and we're left with this
P(x) = (x+2)*Q(x) + 8
From here, plug in x = -2 and simplify
P(x) = (x+2)*Q(x) + 8
P(-2) = (-2+2)*Q(-2) + 8
P(-2) = (0)*Q(-2) + 8
P(-2) = 0 + 8
P(-2) = 8
Luckily we don't need the value of Q(-2) since it cancels out with the zero.
-----------------------------------
Part B) Find P(2)
This time we'll plug in x = 2 and we'll get...
P(x) = (x+2)*Q(x) + 8
P(2) = (2+2)*Q(2) + 8
P(2) = 4*Q(2) + 8
P(2) = 4*5 + 8
P(2) = 20+8
P(2) = 28
Find the product of 3 1/4 and 1/2
The product of the improper fraction 3 1/4 and 1/2 is 1 5/8.
What is mixed fraction?
A fraction that has the numerator higher than or equal to the denominator is said to be inappropriate. a fraction when the denominator (bottom number) and the numerator (top number) are both more than or equal (the bottom number). When the numerator is equal to or more than the denominator, the fraction is said to be improper fraction. It always has a value of one or higher.
Here the given fraction 3 1/4 convert into 13/4.
Now the product of the fractions is
=> 13/4 × 1/2
=> 13/8
=> 1 5/8.
Therefore product of the given fraction is 1 5/8.
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Pls help asap
Number 3
Answer:
No
Step-by-step explanation:
The value that corresponds with the other value on a data (34 to 2, 51 to 3, 68 to 5 etc.) needs to have the same quotient (or ratio) when you compare them.
34/2 = 51/3 ? Yes (but you can't stop here because you need to test ALL the values, what I mean is ALL the values UNTIL you found one that is not equal to each other, if all of them are equal, then the data are proportional.
34/2 = 68/5 ? No (Now you can stop here and say it's not proportional because we already found one pair that are not equal).
Is there any evidence to prove m and n are parallel
multiply
(−5 2/5) ⋅ 3 7/10.
a. −19 49/50
b. −15 7/25
c. −9 1/10
d. −1 7/10
Answer: -19 49/50 ==> a
Step-by-step explanation:
(−5 2/5) ⋅ 3 7/10=
(−5 - 2/5) ⋅ (3 + 7/10)=
(−25/5 - 2/5) ⋅ (30/10 + 7/10)= ==> make the terms have like denominators
((-25-2)/5) ⋅ ((30+7)/10)=
-27/5 ⋅ 37/10 =
-27 ⋅ 37 / (5 ⋅ 10) =
-999/50=
(-950-49)/50=
-950/50 - 49/50=
-19 - 49/50=-19 49/50 ==> a
