f(-4) = 3(-4)^2 - 2(-4)
f(-4) = 3(16) + 8
f(-4) = 48 + 8
f(-4) = 56
I think the answer is 56 :)
Please give BRAINIEST :)
The answer is 56
Here's how I got my answer:
Step 1: Replace all the x's in the equation. Which leaves us with [tex]3(-4)^2-2(-4)[/tex]
Step 2: Solve [tex]-4^2[/tex], which is [tex]16[/tex]. That leaves is with [tex]3(16)-2(-4)[/tex]
Step 3: Solve [tex]2(-4)[/tex], which is [tex]-8[/tex]. That leaves us with [tex]3(16)+8[/tex]
Step 4: Solve [tex]3(16)[/tex], which is [tex]48[/tex]. That leaves us with [tex]48+48[/tex]
Step 5: Simplify [tex]48+48[/tex] to get your answer, 56.
What is the density of a material that has a mass of 2,500 grams and volume of 500 cubic centimeter, in grams per cubic centimeter
Answer:
Density of the material is 5 grams per cubic centimeter.
Step-by-step explanation:
The answer is required to be given in grams per cubic centimeter.
So we should first convert the values to match the units.
Mass is given as 2500 grams so we don't need to change the units.
Volume is given in cubic centimeters. So we don't need to change the units.
Density = [ Mass of the material / Volume of the Solvent]
=2500 grams / 500 cubic centimeters
=5 grams per cubic centimeter
find three consecutive integers with a sum of 24
The three consecutive numbers that can be equal to 24 are 7,8,9
7+8+9=24
what is t(6) for the function t(n)=0.009n
a)0.054
b)0.0096
c)6.009
Tiffany has $54. She is shopping for umbrellas that cost $12 each. She writes the following equation to model the situation. Place Value Chart
Answer:
4 umbrellas
Step-by-step explanation:
Number of Umbrellas Total Money
1 $12
2 $24
3 $36
4 $48
She can't go over $48 because $48 + $12 is $60, which is more than she has ($54). So the max amount of umbrellas she can buy is 4.
How many congruent triangles do the midsegments of an equilateral triangle partition the triangle into? Explain.
Answer:
4
Step-by-step explanation:
Let us consider an equilateral triangle ABC. Now, we will define midsegments:
A midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle (here triangle ABC). This segment has two special properties. It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
Refer the attached image:
Now, from the definition of midsegment we can see that:
[tex]PQ=\frac{1}{2}BC[/tex]
[tex]\therefore PQ=BR[/tex]
and PQ is also parallel to BR.
Now, again from the definition of midsegment we can see that:
[tex]QR=\frac{1}{2}AB[/tex]
[tex]\therefore QR=PB[/tex]
and QR is parallel to PB.
therefore, PQBR forms a parallelogram
And a diagonal of a parallelogram divides it into two congruent triangles.
Hence, triangle 2 (triangle PBR) is congruent to triangle 4(triangle PQR).
Similarly, triangle 3 (triangle QRC) and triangle 1 (triangle APQ) are congruent to triangle 4 (triangle PQR), Therefore, there are 4 congruent triangles formed when midsegments of an equilateral triangle partition the triangle.
The midsegments of an equilateral triangle partition it into four smaller congruent triangles, due to the Triangle Midsegment Theorem and the Third theorem of congruence for triangles.
When the midsegments of an equilateral triangle are drawn, they connect the midpoints of the sides of the triangle. These segments will each be parallel to one side of the triangle and half its length, according to the Triangle Midsegment Theorem. Drawing all three midsegments partitions the equilateral triangle into four congruent smaller triangles. Each smaller triangle will be similar to the original equilateral triangle.
By the Third theorem of congruence for triangles (which is often referred to as SSS or side-side-side), if three sides of one triangle are congruent respectively to the corresponding sides of another triangle, the two triangles are congruent. In this case, each smaller triangle formed by the midsegments shares a side with the original triangle and has the other two sides equal in length to the midsegments, which are congruent to each other by construction.
Therefore, all four smaller triangles are congruent to each other.
A dog takes 3 steps to walk the same distance for which a cat takes 4 steps. If 1 step of the dog covers 1/2 door how many feet will the cat cover on 24 steps?
Answer:
9 feet will the cat cover on 24 steps.
Step-by-step explanation:
Given: A dog takes 3 steps to walk the same distance for which a cat takes 4 steps.
⇒ 3 steps of dog=4 steps of Cat
If 1 step of the dogs cover [tex]\frac{1}{2}[/tex] feet
then,
4 steps of cat=3 steps of dog
24 steps of cat=[tex]\frac{3}{4}\times(24)[/tex]=18 steps of dog
Also, 1 step of the dogs cover=[tex]\frac{1}{2}[/tex] feet
18 steps of the dogs cover=9 feet
therefore, 24 steps of cat will cover 9 feet .
Use the graph to determine the solution of the inequality |x + 1| + 2 > 5.
Use the graph to determine the solution of the inequality |x + 1| + 2 > 5.
To graph this , first we make the absolute function alone
|x + 1| + 2 > 5
to make absolute function alone we subtract 2 from both sides
|x + 1| > 3
x+1 inside the absolute function . so x=-1
From -1, move 3 units to the right and 3 units to the left.
For x>2 , shade the graph to the right
For x< -4, shade the graph to the left
The graph is attached below
The solution to the inequality is x<-4 and x>2
Answer:
Its A on E2020
Step-by-step explanation:
if you know two points on a line, how can you find the right the rate of change of the variables being graphed?
You divide the difference in y-coordinates by the diffrence in x-coordinates. Or whatever the variables are.
Lets say the coordinates of the two points are (a,b) and (c,d). Then:
Rate of change is "rise/run" = (b - d)/(c - a) = (d - b)/(a - c)
Which sequence of transformations creates a similar, but not congruent, triangle?
A Rotation and translation
B Dilation and rotation
C Reflection and rotation
D Translation and reflection
Answer:
It would be B.
Step-by-step explanation:
Dilation is the only transformation that is NOT congruent. It is similar.
i need help please i dont know how to do this?
Graph the slow intercept equation: y=2/3x-2
Remark
The slope intercept graph needs a table like the one provided by the graph shown below.
A sample calculation would look like this
y = (2/3)x - 2 Let x = 6 (which is not plotted on the graph).
y = 2/3 * 6 - 2 The 3 will divide into the 6 two times
y = 4 - 2
y = 2
So you would plot this as (6,2)
Marissa bought 12.8 pounds of potatoes at $1.35 per pound. How much did Marissa spend for the potatoes? Explain
12.8 * 1.35 =17.28
Therefore Marissa spent $17.28 on potatoes.
Rewrite the fractions 2/5 and 4/15 as fractions with a least common denominator
The two fractions with the common denominator will be 6/ 15 and 4 / 15.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
The two fractions are 2 / 5 and 4 / 15 will be converted into the same common denominator as;-
For fraction 2 / 5 multiply it by 3 in both the numerator and the denominator.
= ( 2 x 3 ) / ( 5 x 3 )
= ( 6 / 15 )
Therefore two fractions with the common denominator will be 6/ 15 and 4 / 15.
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Becky gets $5.00 a week for chores, and helps with chores for 4 weeks. If Becky wants to spend only half of her money, how much will she have left to save?
$5.00 x 4 = $20.00.
$20.00 divided by 2 = $10.00
She will have $10.00 to save.
Hope I helped!
Good Luck!
what is 22 + 5d = -8(7d-4)
22+5d=-8x7d=56d+ -8x-4=32
22+5d=-56d+32
22+32=54 and -56d+5d=-51d
The answer would be 51d+54
Remark
The steps are the same usually. Remove the brackets and collect like terms on each side of the equal sign.
Solution
22+5d = -8(7d - 4) Remove the brackets.
22+5d = -56d + 32 Notice the sign change on 32. 2 minus quantities = a plus when multiplied. Add 56d to both sides.
22 + 5d + 56d = - 56d + 56d + 32
22 + 61d = 32 Subtract 22 from both sides.
61d = 32 - 22
61d = 10 Divide by 51
d = 10/61
d = 0.1639 Answer
Check
LHS
22 + 5*0.1639 = 22.8197
RHS
-8(7*0.1639 - 4)
-8(1.1473 - 4)
-8(-2.8527)
22.8216
The difference is a rounding error.
which statement compares the graphs of f(x) and g(x) over the interval [0, 5]?
A) The graph of f(x) always exceeds the graph of g(x) over the interval [0, 5]
B) The graph of g(x) always exceeds the graph of f(x) over the interval [0, 5]
C) The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x)
D) The graph of g(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x)
we can see that
For x is 0, 1, 2, 3 ,4
f(x) is 0 , 1 , 4, 9 , 16
g(x) is -2 , -1 , 1 , 5 , 13
so, g(x) is greater than f(x) for x is 0, 1, 2, 3 ,4
It means that f(x) exceeds g(x) on [0,4]
But for x=5
f(x) is 25
g(x) is 29
Here, we can see that g(x) exceeds f(x) at x=5
so, there must be intersection point between x=4 and x=5
so, option-C.........Answer
Each option describes different behaviors and relationships between the two functions over the interval [0, 5]. Without further details, we can only conceptualize the scenarios provided.
To compare the graphs of f(x) and g(x) over the interval [0, 5], we can evaluate the options provided:
Option A: The graph of f(x) always exceeds the graph of g(x) over the interval [0, 5]Option B: The graph of g(x) always exceeds the graph of f(x) over the interval [0, 5]Option C: The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x)Option D: The graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x)Without the exact equations or a graph to analyze, we cannot definitively determine which option is correct. However, we can conceptualize the scenarios described:
Option A suggests f(x) is consistently greater than g(x) throughout the interval. Option B suggests the opposite. Option C introduces an intersection point, where f(x) transitions from being greater to less than g(x). Option D indicates g(x) is initially greater, with a reversal after an intersection between 4 and 5.
If we had the graphs or more specific information, we could more precisely identify the correct statement.
plz answer 17 16 and 18 show work
[tex] \frac{3}{4} q - 7 = 8[/tex]
Please help me out by answering this and please show your work...
[tex]\frac{3}{4}q[/tex] - 7 = 8
+7 +7
[tex]\frac{3}{4}q[/tex] = 15
[tex]4(\frac{3}{4}q)[/tex] = 4(15)
3q = 60
[tex]\frac{3q}{3} = \frac{60}{3}[/tex]
q = 20
Answer: q = 20
About how much farther away from the Sun is Earth than Mercury? Write your answer in standard form and scientific notation.
The approximate distance from each planet to the Sun is given below.
Mercury: 35,983,610
Earth: 92,957,100
Neptune: 2,798,842,000
Move the decimal until its below 10 and greater than 1:
Mercury: 3.5 x 10^7
Earth: 9.2 x 10^7
Neptune: 2.7 x 10^9
hope this helps :)
Ruben has 6 new books for his collection. This increases his collection by 12%? How many books does he have now?
Ruben has 6 new books for his collection. This increases his collection by 12%
Let x be the number of books Ruben has before 6 new books added
x + 12% of x = x+6
x + 0.12x = x+6
1.12 x = x+6
Subtract x on both sides
0.12x = 6
Divide by 0.12
x = 50
6 new books are added for his collection
So 50 + 6 = 56
He have 56 books now.
solve inequality -12 < 3x- 15 < 9
[tex] - 12 \leqslant 3x - 15 \leqslant 9[/tex]
[tex]-12\leq3x-15\leq9\qquad|+15\\\\3\leq3x\leq24\qquad|:3\\\\1\leq x\leq8[/tex]
the length of rectangle is 17cm more than double the width. the perimeter is 76cm
at a chess tournament the number of competitors in each round is 50% of the number of competitors in the previous round. What type of relationship most appropriately models this situation?
exponential growth
linear increase
linear decrease
exponential decay
This type of relationship is exponential decay
what is the slope of the line? (Slope from equation)
7x+2y=5
thanks.
Answer:
The slope is -7/2.
Step-by-step explanation:
Convert to slope-intercept form (y = mx + b where m = the slope)
7x + 2y = 5
2y = -7x + 5
Divide both sides by 2:-
y = (-7/2)x + 5/2
so slope m = -7/2
NEED ANSWERS NOW
Which equation correctly applies the distributive property?
A. −1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57
B. −2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045
C. (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)
D. 50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)
The answer is choice C
On the left side we have something in the form a*b+a*c+a*d
On the right side we have something in the form a*(b+c+d)
All together, we have a*b+a*c+a*d = a*(b+c+d), where the letters a,b,c,d are to be replaced with the proper values (0.5, 0.5, 0.3, and 0.2 in that exact order).
The idea of distribution is to multiply the outer value 0.5 by each of the values inside the parenthesis (0.5, 0.3, and 0.2) and add up the products.
Equation C and D that is (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2) and 0+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005) applies the distributive property correctly as defined "multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together".
What is distributive property?The distributive law, which states that in elementary algebra, equality is always true, is generalized by the distributive property of binary operations. For instance, in basic mathematics, one has to According to one, addition is distributed more evenly than multiplication. In order to quickly solve expressions, a number is distributed among the numbers in the brackets. When using the distributive property of multiplication, for instance, to resolve the expression 4(2 + 4), we would do so as follows: 4(2 + 4) = (4 × 2) + (4 × 4) = 8 + 16 = 24.
The distributive property states,
A × (B + C) = AB + AC
for equation C
(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)
for equation D,
50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)
According to the definition of the distributive property, which states that "multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together," Equations C and D, which are correctly applied that is (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2) and 50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005).
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A subway in New York is located at 25 feet below sea level. In Chicago a train is 27 feet above sea level. How much higher is the train than the subway?
All you have to do is add 25+ 27= 52
Jim decided to go for a drive in his car. He started out at 0 miles per hour(mph). He then accelerated 20 mph down his street. Then, to get on the highway he accelerated another 35 miles per hour. A car was going slow in front of him so he slowed down 11 mph. He then go off the highway, so he slowed down another 7 mph. At what speed was he driving?
Answer:
37 mph
Step-by-step explanation:
if he starts at 0 then goes to 20 then add another 35 which gives you 55mph then he slows down you decrease 11 which is 44 then decrease again 7 gives you 37mph
Answer:
37 mph
Step-by-step explanation:
if he starts at 0 then goes to 20 then add another 35 which gives you 55mph then he slows down you decrease 11 which is 44 then decrease again 7 gives you 37mph
Three fourths ÷ one fourth
The way I did this was made everything decimals so .75/.25 and it equals 3
Andrew deposited $500 in a savings account that offers an interest rate of 6.5%, compounded continuously. Andrew's initial deposit will grow to $543 in ___ months.
Answer:
The answer is 15 months.
Step-by-step explanation:
p = $500
r = 6.5% or 0.065
A = $543
t = ?
The formula to be used here is :
[tex]A=pe^rt[/tex]
[tex]t=(log(A/p)/log(e))/r[/tex]
Putting the values in formula we get:
[tex]t=(log(543/500)/log(e))/0.065[/tex]
[tex]t=(log(1.086)/log(e))/0.065[/tex]
This gives t = 1.3 years
In months it will be 1 year(12 months) + 3 months = 15 months.
Hence, the answer is 15 months.
Answer:
15 months
Step-by-step explanation:
Evaluate the expression –0.4(3x – 2) + for x = 4
The expression evaluates to -4 when x equals 4.
To evaluate the expression –0.4(3x – 2) + for [tex]\( x = 4 \)[/tex], follow these steps:
1. Substitute the value of [tex]\( x \)[/tex] into the expression.
2. Perform the arithmetic operations according to the order of operations (PEMDAS/BODMAS).
Here's the step-by-step calculation:
Given expression: [tex]\(-0.4(3x - 2) +\)[/tex]
Substitute [tex]\( x = 4 \)[/tex]:
[tex]\(-0.4(3(4) - 2) +\)[/tex]
Now, simplify inside the parentheses first:
[tex]\(-0.4(12 - 2) +\)[/tex]
[tex]\(-0.4(10) +\)[/tex]
Next, multiply [tex]\(-0.4\)[/tex] by [tex]\( 10 \)[/tex]:
[tex]\(-4 +\)[/tex]
Finally, there's no more to compute since there's no other term. So the result is:
[tex]\(-4\)[/tex]
Therefore, the value of the expression [tex]\(-0.4(3x - 2)\)[/tex] when [tex]\( x = 4 \)[/tex] is [tex]\( -4 \)[/tex].