Answer:
f(-2) = 19
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 3x² - 3x + 1
f(-2) is x = -2
Step 2: Solve
Substitute: f(-2) = 3(-2)² - 3(-2) + 1Exponents: f(-2) = 3(4) - 3(-2) + 1Multiply: f(-2) = 12 + 6 + 1Add: f(-2) = 19Identify the angles that each have a measure of 88°.
Answer:
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Step-by-step explanation:
A recipe calls for using ¾ cup of brown sugar for each ⅔ cup of white sugar. How many cups of brown sugar are used per cup of white sugar?
Show the rate and unit rate.
Answer:
1 1/8 cups of brown sugar is needed. The unit rate is 1 1/8 cups of brown sugar per cup of white sugar.
Step-by-step explanation
2/3 * 3/2 = 1 This is for white sugar
3/4 * 3/2 = 9/8 or 1 1/8 This is for brown sugar
Which of these equations represents the graph below?
y = 2x + 3
y = 3x - 2
y = 3x + 2
y=2x - 3
If b^2=a then b is what of a?
Answer:
[tex]\huge\boxed{b = \sqrt{a}}[/tex]
Step-by-step explanation:
If we have an equation [tex]b^2 = a[/tex] and we want to find what b is in relation to a, we can change the equation so that we have b on one side and whatever is on the other side is what b is.
[tex]b^2 = a[/tex]
To isolate b, we can take the square root of both sides as taking the square root of something squared results in the base.
[tex]\sqrt{b^2} = \sqrt{a}[/tex]
[tex]b = \sqrt{a}[/tex]
So b is the square root of a.
Hope this helped!
You deposit $2000 in an account earning 3% interest compounded monthly.How much will you have in the account in 15 years?
Determine the unknown side of the similar triangle.
A)
2
B)
3
4
D)
5
Answer:
(C). 4
Step-by-step explanation:
Sides of the similar triangles are proportional.
if X ~ Y , then [tex]\frac{12}{6}[/tex] = [tex]\frac{8}{x}[/tex] ⇒ x = 4
simplify 3(12 - 8) + 5
Answer:
17
Step-by-step explanation:
The value of the given linear expression 3(12 - 8) + 5 is 17.
What is a linear equation?
A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.
Therefore, the variable x⁰ = 1.
Given linear expression:
3(12 - 8) + 5
= 3 × 4 + 5
= 12 + 5
= 17
Learn more about linear expression here: https://brainly.com/question/1955739
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A cube with a side of 1m was sawn into cubes with a side of 1 cm and then laid in a row (in a straight line). What was the length of this series?
Answer:
10 km
Step-by-step explanation:
volume of cube = s^3
1 m = 100 cm
volume = s^3 = (1 m)^3 = (100 cm)^3 = 1,000,000 cm^3
Since 1 m^3 = 1,000,000 cm^3, when you lay down the 1-cm cubes in a straight line with the edges touching, the line is 1,000,000 cm long.
1,000,000 cm = 10,000 m = 10 km
The hypotenuse of a right triangle is 5cm long the longer leg is 1cm longer than the shorter leg find the side lengths of the triangle
Answer:
Shorter leg=3
Longer leg=4
Step-by-step explanation:
Equations
In a right triangle, Pythagora's Theorem is satisfied. Being a the hypotenuse, b and c the legs of the triangle, then:
[tex]a^2=b^2+c^2[/tex]
Let's call
x=the shorter leg of the triangle
The longer leg is 1 cm longer than the shorter leg, thus:
x+1=the longer leg.
Since the hypotenuse is 5 cm long:
[tex]5^2=x^2+(x+1)^2[/tex]
Operating:
[tex]25=x^2+x^2+2x+1[/tex]
Swapping sides and simplifying:
[tex]2x^2+2x+1=25[/tex]
Subtracting 25:
[tex]2x^2+2x-24=0[/tex]
Dividing by 2:
[tex]x^2+x-12=0[/tex]
Factoring:
[tex](x-3)(x-4)=0[/tex]
We have two possible solutions:
x=3, x=4
The longer leg is x+1.
If x=3, x+1=4
If x=4, x+1=5. This solution is not valid because one leg would be equal to the hypotenuse.
Thus, the solution is:
Shorter leg=3
Longer leg=4
Which statement is false? Explain.
A. An equiangular polygon has all angles congruent.
B. A regular polygon is both equilateral and equiangular.
C. An equilateral polygon has all sides congruent.
D. A polygon is concave if no diagonal contains points outside the polygon.
Answer: D. A polygon is concave if no diagonal contains points outside the polygon.
Explanation:
Choice A is true since "equiangular" means "equal angles"
Choice B is true since all sides are congruent, and all angles are congruent for a regular polygon
Choice C is true. The term "lateral" means "side".
Choice D is false because a convex polygon is one where all possible line segments contained in the polygon do not spill outside the polygon. Put another way, if points A and B are in a convex polygon, then every point on line segment AB is also in the polygon. Concave polygons don't have this feature. It is possible to draw a line segment where it spills outside the concave polygon.
one of my factors if 4 when you pair me with 32 we have a lcm of 32 i am graeter than 4 less that 15
Answer:
8
Step-by-step explanation:
The number that is greater than 4 and less than 15 whose one of its factors is 4 and has an LCM of 32 when paired with 32 is 8
What is number?The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.
Given that one of my factors if 4 when you pair me with 32 we have a lcm of 32 i am greater than 4 less that 15
The clues are given as;
Factors of 4
Number greater than 4
Number less than 15
Also, the LCM of 8 and 32 is; 32
Hence, The mystery number that has the above properties will be 8
Learn more about numbers;
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a group of 12 runners each drink 64 ounces of water every day how many ounces of water will they drink in 45 days
You start at (3,-3). You move down 2 units and up 6 units. Where do you end? On a coordinate plane
Answer:
(3 , 1)
Step-by-step explanation:
(3 , - 3)
(3 , - 3 - 2 + 6) = (3 , 1)
Evaluate 4p+q/p when p= -2 and q= -3
a) -11/2
b) 9/2
c) -9/2
d) 11/2
Answer:
D
Step-by-step explanation:
Answer:
d. 11/2
Step-by-step explanation:
(4p + q)/p
(4(-2) + (-3))/(-2) = (-8-3)/(-2)
11/2
HURRY PLEASE HELP!!!!!!
the answer choices are
A. 55
B. 40
C. 60
Answer:
A. 55
Step-by-step explanation:
hope this helps have a good day :)
Can someone help me answer
Answer: she should by 9 bottles of juice
Step-by-step explanation:
because there's 2 L per one bottle, 2L (X bottles) = 18L, X = 9
if l || m,find the value of x, (8x + 20) (11x-31)
Answer:
x=17
Step-by-step explanation:
8x+20=11x-31
We simplify the equation to the form, which is simple to understand
8x+20=11x-31
We move all terms containing x to the left and all other terms to the right.
+8x-11x=-31-20
We simplify left and right side of the equation.
-3x=-51
We divide both sides of the equation by -3 to get x.
x=17
Answer:
17
Step-by-step explanation:
8x + 20 = 11x - 31
-8. -8
20 = 3× - 31
+31. +31
51 = 3x
/3. /3
x = 17
If Michael can read 400 pages in 8 hours, how many pages can he read in 1 hour?
Step-by-step explanation:
He will read 50 pages in an hour
Equation
Answer
7w = 21
m7= 5
6b = -42
x5=10
8b = 96
y2= -20
-6c = -36
4p = 48
m-11= -3
k-2= 4
12g = -60
-3w = -39
m-9=20
w4= -60
17b = 51
Can someone please HELP
A car is going 50 miles per hour.
A rate that describes this would have units of?
А. miles and hours.
B. miles and cars.
C. hours only.
D. miles only.
miles and hours is the correct option.
NOT SURE BUT HOPE IT IS CORRECT AND HELPS YOU
Simplify
27^n+3 -6×3^3n+3/3^n×9^n+2
Answer:27^n+3–6*3^3n+3–n*9^n+2
Step-by-step explanation:
1 111 0111 base 2
to decimal number
Step-by-step explanation:
Answer is 247 so there up I have send photos
Need this ASAP
What is the constant of proportionality in the equationy=2x
Answer:
2
Step-by-step explanation:
[tex]y = 2x \\ \\ \frac{y}{x} = 2 \\ equating \: it \: with \: \\ \frac{y}{x} = k \\ \\ k = 2 \\ \\ [/tex]
Hence, constant of proportionality = 2
What slope would make the lines
parallel?
y = 4x + 2
y = [?]x-4
Enter the number that belongs in the green box.
Answer:
4
Step-by-step explanation:
Parallel lines have the same slope and since the slope of the first line is 4 the second lines slope is also 4
Answer:
Step-by-step explanation:
Slopes of parallel lines are the same.
m = 4
Find the value of x. Round to the nearest degree.
13.
22
14
Not drawn to scale
a. 47
b. 32
c. 40
d. 50
Answer:
32
Step-by-step explanation:
Victoria spent one half of her birthday money on clothes. She received another $25 a week later. How much money did she get for her birthday if she ended up with $70?
Answer:
$90
Step-by-step explanation:
If she ended up with 70 dollars then subtract 25 from 70 and you will get 45. then you double 45 which gives you 90 dollars
The midpoint of AB is at (3, 2) . If A = (4, 8) , find b
B is:( , )
Answer:
B (2,-4)
Step-by-step explanation:
2) A farmhouse shelters 61 animals. Some are cows and some are ducks. Altogether there are
208 legs. How many of each animal are there?
A car moves at a speed of 30m/s to the west for 3hr. What is the displacement of the car in km?
HEEEEEEEEEEEEEEEEEEEEELP!!!! A line y=mx+b passes through point (16, −10) and is parallel to y=−34x+8.
What is the value of b?
Answer:
[tex]b=2[/tex]
Step-by-step explanation:
We know that the line passes through the point (16, -10).
And we also know that it is parallel to [tex]y=-\frac{3}{4}x+8[/tex]
Notice that the slope of this line is -3/4
Remember that parallel lines have the same slope.
Therefore, the slope of our new line is also -3/4
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let’s substitute -3/4 for m and (16, -10) for (x₁, y₁). This yields:
[tex]y-(-10)=-\frac{3}{4}(x-16)[/tex]
Distribute:
[tex]y-(-10)=-\frac{3}{4}x+12[/tex]
Simplify:
[tex]y+10=-\frac{3}{4}x+12[/tex]
Subtract 10 from both sides:
[tex]y=-\frac{3}{4}x+2[/tex]
This is in the form y=mx+b.
Therefore, our b is 2.
And our final answer is 2.