Answer:
a) y = -5 b) y = -4 c) y = 4 d) y = 11
Step-by-step explanation:
a) (-2+2)²-5
b) (-1+2)²-5
c) (1+2)²-5
d) (2+2)²-5
Let f(x) = ............
Answer:
So first lets find g(-1)
so we plug in the answers:
-2 * -1 ^2 -4
-2*1-4 = -2-4 =
-6
Now lets solve for f(-2)
-2^2-3
4-3=1
-6+1 = 5
3*5 = 15
Im getting answer of 15 but it shows -15 or something, so I dont know if I got it wrong or if its like a dash then the answer.
Help me
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-ayyyyyyy
Answer:
c. 412.5 cm^2
Step-by-step explanation:
first triangle: 5 x 15 = 75
75/2 = 37.5
rectangle: 15 x 19 = 285
triangle 2: 15 x 12 = 180
180/2 = 90
37.5 + 285 + 90 = 412.5
(2 +76÷1+9)+4-3x7 equal?
There are 24 students in Julie’s class. 6 of these students are boys. What percent of the class are boys
Answer:
25%
Step-by-step explanation:
Take the number of boys over the total
6/24
1/4
Change to a decimal
.25
Change to a percent
25%
What is a rigid motion?
Answer:
Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease.
Step-by-step explanation:
an angle inscribed in a semi circle is
Answer:
Right angle therom
Step-by-step explanation:
What happens when you see 42 (17 – 15) / (3 + 1) – 5 ? What do you do first? The mnemonic PEMDAS or Please Excuse My Dear Aunt Sally can help you remember the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. If your expression doesn't have every type of operation, the order of operations is still the same. If it is missing one, just skip it and move on to the next operation. Which operation is done first to evaluate this expression: 5 + 7 x 2 - 9
Answer:
The operations done first are:
a) 42 (17 – 15) / (3 + 1) – 5 ; (17 -15) or (3 + 1) (parenthesis) are done first
b) 42 (17 – 15) / (3 + 1) – 5 ; 7 × 2 (multiplication) is done first
Step-by-step explanation:
from the mnemonic PEDMAS, the order of operations are: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
hence in the first expression : 42 (17 – 15) / (3 + 1) – 5, the parenthesis (bracket is simplified first as follows:
(17 - 15) = (2) ; and (3 + 1) = (4) ; hence the expression will be simplified as follows: 42 (2) / (4) - 5.
Next, since there is no exponent in the expression, Multiplication follows:
42 (2) = 42 × 2 = 84 ; hence he expression becomes: 84 / 4 - 5
Next division follows : 84/4 = 21, therefore the expression becomes
21 - 5.
Finally, subtraction follows : 21 - 5 = 16
b) 5 + 7 x 2 - 9;
first, multiplication is done: 7 × 2 = 14, hence the expression becomes :
5 + 14 - 9.
Next in the order is addition : 5 + 14 = 19, hence, the expression becomes:
19 - 9.
Finally, subtraction follows: 19 - 9 = 10
Answer:
multiply
Step-by-step explanation:
the graph below describes the journey of a train between two cities
Answer:
Step-by-step explanation:
To find : Acceleration in first 15 min . Distance between two cities Average speed of journey
Solution:
Each horizontal block is 1/8 hr = 7.5 min
Each vertical block is 10 km/hr
Time Velocity km/hr
0 Min ( 0 hr) 0
15 Min (1/4 hr) 50
45 Min (3/4 hr) 50
60 MIn ( 1 hr) 100
90 Min ( 3/2 hr) 100
120 Min ( 2hr) 0
Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)
= 200 km/h²
Distance between two cities
= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)
= 25/4 + 25 + 75/4 + 50 + 25
= 125
Distance between two cities = 125 km
Average Speed of journey = 125/2 = 62.5 km/hr
Acceleration in first 15 min = 200 km/h²
Distance between two cities = 125 km
Average Speed of journey = 62.5 km/hr
Hope this helps..
Answer:
200km/h^2, 125km, 62.5km/h
Step-by-step explanation:
For part a) just use the acceleration formula (change in velocity/time). For part b), remember that distance traveled is the area under the graph. This is because displacement is the integral of velocity, meaning that you integrate to find the area (i.e. displacement). Lastly, for part c), just apply speed = distance/time because in this case, acceleration is constant.
Write the equation of a line through points (5, 5) and (1, 0) in point-slope form.
A. y=5/4 (x-1)
B. y-1= 5/4 (x-1)
C. y-5= 1/4 (x-1)
D. y= 1/4 (x-5)
Answer:
A. y = 5/4(x - 1)
Step-by-step explanation:
The equation of a line can be written in the form:
[tex]\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the points given,
y1 = 0
y2 = 5
x1 = 1
x2 = 5
Therefore:
[tex]\frac{y - 0}{x - 1}= \frac{5 - 0}{5 - 1} \\\\\frac{y}{x - 1} = \frac{5}{4}[/tex]
Cross multiply:
4y = 5(x - 1)
y = 5/4(x - 1)
A. y = 5/4(x - 1)
Step-by-step explanation:
The equation of a line can be written in the form:
From the points given,
y1 = 0
y2 = 5
x1 = 1
x2 = 5
Therefore:
Cross multiply:
4y = 5(x - 1)
y = 5/4(x - 1)
A triangle can be formed with side lengths 3 in, 5 in, and 9 in.
Yes, it would be a scalene triangle. This can happen.
The Triangle sides have to be greater than c.
a+b > c
With the given inches, substitute it into the equations:
a = 3 in
b = 5 in
c = 9 in
3 + 5 > 9
Solve.
9 > 9
This is False since because a + b is not > c. a + b is equal to c.
Solve the open sentence.
-35n+6 57
ons-9 and ns6
n> 9 and ns 7
On-9 and ns1
ons 3 and ns 7
Answer:
-9 ≤n ≤1
Step-by-step explanation:
-3 ≤ n+6 ≤ 7
Subtract 6 from all sides
-3 -6≤ n+6-6 ≤ 7-6
-9 ≤n ≤1
15 POINTS!! PLEASE HELP
The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2)?
y = one half x + three halves
y = negative one halfx + three halves
y = one half x − three halves
y = negative one halfx − three halves
Answer:
y = 1/2x - 1
Step-by-step explanation:
The easiest was you do this is to first rearrange the equation into slope-intercept form (y = mx + b). After rearranging, you can find the slope (m).
2x + y = -5
y = -2x - 5
The slope is -2. Since the line we are trying to find is perpendicular, find the inverse and multiply it by -1.
-2 => 1/2
Now use the point-intercept form to find the new equation. Use the slope (1/2) and the given point (-1, -2).
y - y₁ = m(x - x₁)
y - (-2) = 1/2(x - (-2))
y + 2 = 1/2(x + 2)
y + 2 = 1/2x + 1
y = 1/2x - 1
The equation of the line perpendicular to line WX is y = 1/2x - 1.
The equation is y = (1/2)x -(3/2) ; y = one half x − three halves.
The correct option is D.
What is the equation of a Straight Line?
An equation of the straight line is given by y = mx+c,
Here m is the slope and c is the intercept on y-axis.
The equation of the line WX is 2x+y = -5
y = -2x -5
The product of the slopes of the line and the line perpendicular to this line will be -1
Therefore the slope of the line perpendicular to the line WX is -2 * m = -1,
m = 1/2
y = (1/2)x +c
The line passes through the points (-1, -2)
-2 = (1/2) (-1) +c
c = -2 +(1/2)
c = (-4 +1) /2
c = -3/2
Therefore, the equation is y = (1/2)x -(3/2) ; y = one half x − three halves.
The correct option is D.
To know more about Equation of Straight Line
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find the coordinates of the vertices of the triangle after a reflection across the line y= 3 and then across the line x = -1
Answer: A
Step-by-step explanation:
Reflection across y = 3
The simplest way to calculate the new coordinates is to draw y = 3, count how many units away the point is from y = 3, then count the same number of units from y = 3 in the OPPOSITE direction to find the reflection. (see attachment - blue color)
U = (-5, 4) is 1 unit above y = 3
U' = (-5, 2) is 1 unit below y = 3
T = (0, 5) is is 2 units above y = 3
T' = (0, 1) is 2 units below y = 3
S = (-4, 2) is 1 unit below y = 3
S' = (-4, 4) is 1 unit above y = 3
Reflection across x = -1
The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment - red color)
U' = (-5, 2) is 4 units to the left of x = -1
U'' = (3, 2) is 4 units to the right of x = -1
T' = (0, 1) is 1 unit to the right of x = -1
T'' = (-2, 1) is 1 unit to the left of x = -1
S' = (-4, 4) is 3 units to the left of x = -1
S'' = (2, 4) is 3 units to the right of x = -1
Let f(x) = .............
Answer:
4
Step-by-step explanation:
g(3) = -2(3)^2 -4 = 2(9) -4 = 18-4 = 14
|f(2)| = | 2^2 -3| = | 4-3| = 1
(g(3) +2) = (14+2) = 16
4* |f(2)| = 4*1 = 4
16/4 = 4
Plzzzz helppp urgent❤️
Answer:
a
Step-by-step explanation:
Answer: 34 inches
Step-by-step explanation:
1 inch is equal to 2.54 centimeters
Divide 86.75 by 2.54 to get how many inches
86.75 / 2.54 = 34.15 inches
34.15 rounds down to 34
if ten coins are spun together, the probability of four or more heads is 0.83. the probability of eight or more is 0.05. find the probability of:
I) less than four. II)fewer than 8
Answer:
a. 0.17
b. 0.95
Step-by-step explanation:
The key to answering both questions is that we should understand that the probability of an event happening = 1 - the probability of the event not happening
Firstly, we want to calculate the probability of less than four
Probability of less than four = 1 - probability of four or more heads
that is 1 - 0.83 = 0.17
Probability of less than 8 = 1 - probability of 8 or more = 1-0.05 = 0.95
Factor the trinomial by grouping.
- 13x + 6 + 6x^2
Answer:
(2x-3)(3x-2)
Step-by-step explanation:
[tex]-13x+6+6x^2= \\\\6x^2-13x+6= \\\\6x^2-4x-9x+6= \\\\2x(3x-2)-3(3x-2)= \\\\(2x-3)(3x-2)[/tex]
Hope this helps!
Given that 3x/8 = 9y/4, Find the ratio of x:y
Answer:
1:6
Step-by-step explanation:
3x/8 = 9y/4
Multiply by 8
3x = 9y/4 *8
3x = 18 y
Divide by 3
x = 18y/3
x = 6y
The ratio is of x to y is
1:6
Answer:
Step-by-step explanation:
3x/8=9y/4
3x/2=9y
1.5x=9y
1.5x:9y
PLEASE HELP I need the answer for this ASAP pleaseeeee
Answer:
13
Step-by-step explanation:
[tex]f(x) = 5 \sqrt{x} + 8 \\ f(1) = 5 \sqrt{1} + 8 \\13[/tex]
Hope this helps..
HELP ASAP!!
What is the surface area of a CUBE where the length of each edge is 4 feet?
A) 12 feet
B) 24 feet
C) 64 feet
D) 96 feet
Answer:
96
Step-by-step explanation:
Each face of the cube has an area of 4 * 4 = 16 and since there are 6 faces on a cube the answer is 16 * 6 = 96.
Which graph has a correlation coefficient, r, closest to 0.75?
Answer:
option A
Step-by-step explanation:
to find the correlation coefficient by hand, first put your data pairs into a table....
Graph C indicates the graph which has a correlation coefficient, r, closest to 0.75.
What is Correlation Coefficient?Correlation coefficient of a data is the measure which indicates the strength of the linear relationship among two variables in a scatterplot.
Given are four graphs.
The range of values for correlation coefficient, r is from -1 to 1.
The value closest to -1 is considered weak linear relationship between the variables and value closest to 1 considered strong linear relationship between the variables.
Here the value of r is closest to 0.75.
Since it is closest to 1, the linear relationship is stronger. This means that the data points are more centered to form a line or they are close to each other.
Two such graphs are B and C.
Since r is 0.75, it is positive, So the relationship is positive.
So graph C is the correct one.
Hence graph C is the required graph.
Learn more about Correlation Coefficients here :
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inductive reasoning is when uses lots of data to make a conjecture A. True B. False please answer now I need help with this please answer
Answer:
False
Step-by-step explanation:
Inductive reasoning is a method of reasoning in which the premises are viewed as supplying some evidence for the truth of the conclusion.
If today is not Thursday then tomorrow is not Wednesday
Answer:
Not sure what your choices are but.. assuming its finding these,
Inverse: If tomorrow is not Wednesday, then today is not Thursday.
Contrapositive: If Today is not Thursday, then tomorrow is not Wednesday.
Converse: If tomorrow is Wednesday, then today is Thursday.
Step-by-step explanation:
The chart below shows the prices at different stores for bags of chips. Store A has 2 for $4 Store B has 3 for $5 Store C has 5 for 8$ and Store D has $1.25 each At what store will it be the least expensive to buy 30 bags of chips?
what is the area of the circle
Answer:
A = 51.84π
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex]
r = 7.2
A = 51.84π
doughnuts are sold in bags and cartons.
A bag holds 4 doughnuts and a carton holds 10 doughnuts.
he buys a total of T doughnuts.
Write down a formula for T in terms of B and c
Answer:
T=(b+4)+(c+10)
Sorry but I really don’t know but I tried
solve the question 2 (3x plus 5) Square - 16 = 0 buy completing the square
Answer:
Step-by-step explanation:
If BE is a diameter of the circle, find
MAB
A. 400
B 50°
C. 75
D 80
Answer:
B 50˚
Step-by-step explanation:
What you want to do is to find all other measures and subtract them from 360, or find all measures to the left of BE, and subtract from 180.
You can find mCE easily: since the measure of an arc is twice the measure of its corresponding angle (as long as that angle is not a central angle), mCE = 2(25), or 50˚.
mDE equals 100˚. This is because it and arc BD are the only arcs right of BE, the diameter, meaning they, together, must equal half the circle. Since half a circle = 180˚,
180˚=80˚+x
x=180-80
x=100
Now, you can solve:
Method 1:
360˚=80˚+80˚+50˚+100˚+x
360-80-80-50-100=x
x=50˚
Method 2:
180˚=80˚+50˚+x
x=180-80-50
x=50˚
This corresponds to answer choice B.
Answer:
B.
Step-by-step explanation:
Given that ∠ABC ≅ ∠DBE, which statement must be true?
∠ABC ≅ ∠ABD
∠ABD ≅ ∠CBE
∠CBD ≅ ∠DBE
∠CBD ≅ ∠ABC
Answer:
∠ABD ≅ ∠CBE
Step-by-step explanation:
So we know that ∠ABC ≅ ∠DBE. Those angles equal the same thing. Let's represent that with x.
So does ABD = CBE?
Well we can model that with our xs.
ABD = ABC + CBD
so ABD = x + CBD
CBE = DBE + CBD
so CBE = x + CBD
Look at what we have!
x + CBD = x + CBD.
You can tell that ∠ABD ≅ ∠CBE because those given angles are equal to each other.
Or for an easier (but lazier) method, you can just look at the diagram, which is actually drawn to a reasonable scale. You can tell right off the bat that none of the other options work.
Which formulas can you use to calculate the volume of a rectangular prism check all that apply
Answer:
V = Bh
Step-by-step explanation:
Answer:
v=lwh
v=bh
Step-by-step explanation:
edge2020