Answers
Explanation:
The leading term of a polynomial is the term with the largest exponent, which in this case that exponent is 4. So the leading term is -3x^4.
The leading coefficient is the coefficient of the leading term. The coefficient of the term -3x^4 is -3.
If the polynomial is written in standard form, then the process is as simple as reading the first coefficient. Otherwise, you may have to sort the terms out first.
Related Questions
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many more girls than boys are there?
Answers
Answer:
There are 8 more girls
Step-by-step explanation:
If you divide 32 by 8 (since the ratio is 3:5 which is 8 parts (3+5)). You get 4.
Thus, there are 12 boys and 20 because 3*4 is 12 and 5*4 is 20. 12+20 is 32.
Find the equation of the line shown.
Answers
Answer:
y = x+1
Step-by-step explanation:
draw a table / write down ratios of the values of x and y. Then, you will notice the difference/ similarity
Answer:
y = x + 1
Step-by-step explanation:
equation of the line :
y = my + p ; m is the slope and p is the y-intercept.
The line cross the —axis at the point (0,1) then
p = 1
the line passes through (0,1) and (1,2) then
m = (2-1)/(1-0) = 1/1 = 1
conclusion:
y = x + 1
What is 9^-53 × 9^37
Answers
Answer: 9⁵³ ₓ 9³⁷ = 9⁹⁰
Explanation: 53 + 37 = 90
So our answer: 9⁹⁰
If you were given the area of a figure and told that all the dimensions of the figure would be cut in half, how could you find the area of the new similar figure?
Multiply the area of the original figure by 4.
Divide the area of the original figure by 1/2 .
Multiply the area of the original figure by 1/2 .
Divide the area of the original figure by 4.
Answers
Answer:
multiply the area of the original by 1/2
Step-by-step explanation:
when cutting a shape in half, its area is also halved, but not all dimensions change
Answer:
Divide the area of the original figure by 4.
Step-by-step explanation:
Area of current figure:
A= abArea of new figure:
A'= 1/2a*1/2b= 1/4ab= 1/4ASo the area of the original figure to be divided by 4
Last answer option is correctyou have a 5-inch by 7-inch picture that you framed. When you hung the picture, you found that the entire area is 69.56 in. What is the width of the frame?
Answers
Answer:
d. 2.4 in
Step-by-step explanation:
So initially w/o frame the area was 5 x 7 = 35 sq in.
Now we have to add the width of the frame to both dimensions.
(5+w)(7+w) = 69.56 sq in
35 + 7w + 5w + w² = 69.56
w² + 12w + 35 = 69.56
w² + 12w - 34.56 = 0
I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)
w = 2.4
w = -14.4
Since we can't have a negative width, the answer must be w = 2.4 inches.
You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.
Answer: d) 2.4 inches
Step-by-step explanation:
Let x represent the width of the frame
Then the area of the frame is:
(x + 5)(x + 7) = 69.56
Rewrite it in Standard form of a quadratic equation:
x² + 12x + 35 = 69.56
x² + 12x - 34.56 = 0
Use Quadratic Formula to solve for x:
[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-12+\sqrt{12^2-4(1)(-34.56)}}{2(1)}\\\\\\x=\dfrac{-12+\sqrt{282.24}}{2}\\\\\\x=\dfrac{-12+16.6}{2}\\\\\\x=\dfrac{4.8}{2}\\\\\\x=\large\boxed{2.4}[/tex]
Marquis has 7 cups of yogurt. He gives his sister 3 3 5 cups of the yogurt, how much of Marquis’s yogurt remains?
Answers
Answer:
If you meant 3.5 then its 3.5.
In ΔRST, the measure of ∠T=90°, ST = 44 feet, and TR = 84 feet. Find the measure of ∠R to the nearest tenth of a degree.
Answers
Answer:
[tex]27.6^\circ[/tex]
Step-by-step explanation:
Given:
A [tex]\triangle RST[/tex] with [tex]\angle T =90 ^\circ[/tex]
ST = 44 feet
TR = 84 feet
To find:
[tex]\angle R = ?[/tex]
Solution:
Please have a look at the attached figure for clear view of the given dimensions of the right angled triangle.
Here, we can use trigonometric formula to find out the [tex]\angle R[/tex].
We know that formula for tangent of angle [tex]\theta[/tex] is given as:
[tex]tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]
Here, Perpendicular for [tex]\angle R[/tex] is side ST and
Base is side TR.
Putting the values in above tangent formula:
[tex]tan R = \dfrac{ST}{TR}\\\Rightarrow tan R = \dfrac{44}{84}\\\Rightarrow tan R = 0.523\\\Rightarrow \angle R = 27.6^\circ[/tex]
Hence, [tex]\angle R = 27.6^\circ[/tex] is the answer.
Answer:
66.1
Step-by-step explanation:
Write the coefficients of x² in each of the following 1) 2+x²+x 2) 2-x²+x³
Answers
Answer:
(1) 1 (2) 0
Step-by-step explanation:
Looking at 1) 2+x²+x;
The coefficient of x is 1 because we see +x in the express which is the same as 1 × x = x.
2) Looking at 2) 2-x²+x³
There is no expression with x but we have x^2 , x^3 . Hence the coefficient of x is 0 because 0×x =0
Answer:
1) 1 and 2) -1
Step-by-step explanation:
1) 2+x²+x
+x² ⇒ coefficient of x² is 12) 2-x²+x³
-x² ⇒ coefficient of x² is -1Find x. 4 square root 3 2 square root 3 8 8 square root 3
Answers
Answer:
8
Step-by-step explanation:
[tex]sin \: \alpha = \frac{opp}{hyp} \\ sin \: 30 = \frac{4}{x} \\ \frac{1}{2} = \frac{4}{x} \\[/tex]
[tex] x = 4 \times 2 \\ x = 8[/tex]
Which scenario is modeled in the diagram below? Percents Total 75% 25% 100% 25% 25% 25% 25% $55.15 $55.15 $55.15 $55.15 Kaia saved $55.15 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $165.45 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $55.15 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60. Kaia saved $165.45 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60.
Answers
Answer:
the answer is d
Step-by-step explanation:
i did whhat the other person said and got it right
Answer:
D
Step-by-step explanation:
Which of the following is the solution to the inequality below?
-5x - 10 < 20 ?
1) x > -6
2) x > - 2
3) x < -6
4) x< -2
Answers
This gives us -5x < 30.
Now divide both sides by -5.
When you divide both sides of
an inequality by a negative, switch
the direction of the inequality symbol.
So we have x > -6.
Someone just give answer, no need to explain!
Answers
Answer:
X=55
Step-by-step explanation:
90 + 35 + X=180
125+X=180
X=55
Answer:
x = 55'Step-by-step explanation:
x+ 35 = 90 ( because there is perpendicular sign which is 90)x = 90 - 35(when 35 is sent into another side it will be -)x = 55Hope it helps you!
WILL give brainliest, I need these for my grade :c. 1.Find the Slope 2.Find the Slope 3. Find the midpoint
Answers
Answer:
Hard to calculate first one is -1/2
Next one is 2.5/1.5 or 2 its hard to tell because of line (not clear)
Next one is -1/2 I think the numbers are small.
You can sign up for Khan academy for clear answers
Need Help. Order of operation 1/35 * 1/22 I get a different answer
Answers
Answer:
[tex]\frac{1}{770}[/tex]
Step-by-step explanation:
[tex]\frac{1}{35} *\frac{1}{22} =\frac{1}{770}[/tex]
Answer:
1 / 770.
Step-by-step explanation:
1/35 * 1/22
= 1*1 / 35*22
= 1 / 770.
The Andersons can set up 6 tables in 1 hour. How many tables can they set up in 5 hours?
They can set up
_______ tables in 5 hours.
Answers
Answer:
To find this out, you simply multiply 6x5 which is 30
Definitions of ASA SAS AAS, can someone dumb it down plz?
Answers
Answer:
Hope this helps.
Step-by-step explanation:
So for ASA, the two triangles have to have two angles congruent, and in the middle of those angles, they have to have a line that's congruent.
For SAS, the two triangles have to have two lines congruent, and in the middle of those lines, they have to have an angle that's congruent.
For AAS, the two triangles have to have two angles congruent, but the line that's congruent has to be on the side, not in the middle.
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answers
Answer:
-8
Step-by-step explanation:
f(1) = -2
g(4)= 6
-8 *(-2) -4 * 6 = 16 -24 = -8
Which angle?
O
O
O
O
of the following is best defined as segments that intersect at a right
A. Perpendicular
segments
B. Intersecting
segments
C. Coplanar segments
D. Parallel segments
Answers
Answer:
Perpendicular
Step-by-step explanation:
A college's lacrosse team will play 23 games next spring. Each game can result in one of 2 outcomes a win or a loss. Find the total
pos ble number of outcomes for the season record
Answers
Answer: 529 possible outcomes
Step-by-step explanation:
You square the number of games as many times as the outcomes (win or loss)
2 outcomes = 23 * 23
23 * 23 = 529
Since there are 2 outcomes, you multiply 2 23’s together to get the number of possible ways.
Basically all you do is find an even number of possible wins and loses. 23 games with two outcomes 23*23=529
What number is the arrow point at?
Answers
Answer:
see below
Step-by-step explanation:
The lines in between 2 and 3 are splitting it up into 5ths and because the arrow is pointing to the fourth one the answer is [tex]2\frac{4}{5}[/tex].
HIIII HELP ME ME HE HE
Answers
Answer:
x = 28
y = 32
Step-by-step explanation:
3
4
(x−12)=12
(
3
4
)(x)+(
3
4
)(−12)=12(Distribute)
3
4
x+−9=12
3
4
x−9=12
Step 2: Add 9 to both sides.
3
4
x−9+9=12+9
3
4
x=21
Step 3: Multiply both sides by 4/3.
(
4
3
)*(
3
4
x)=(
4
3
)*(21)
x=28
Answer:
x=28
3
4
y−12+12=12+12
3
4
y=24
Step 2: Multiply both sides by 4/3.
(
4
3
)*(
3
4
y)=(
4
3
)*(24)
y=32
Answer:
x = 28
y = 32
Step-by-step explanation:
Equation 1:
First, we will distribute the 3/4 to everything in the parentheses like this:
[tex]\frac{3x}{4} - \frac{36}{4} = 12[/tex]
We can simplify the 36/4 down like this:
[tex]\frac{3x}{4} - 9 = 12[/tex]
We can add the 9 to the other side:
[tex]\frac{3x}{4} = 21[/tex]
Then multiply the 4 to the other side
[tex]3x = 84[/tex]
Finally, we can divide by 3
[tex]x = 28[/tex]
Equation 2:
We can add 12 to the other side:
[tex]\frac{3y}{4} = 24[/tex]
Then multiply 24 by the 4
[tex]3y = 96[/tex]
Then divide by 3
[tex]y = 32[/tex]
Find n so that C(n, 3) = P(n, 2).
Answers
Answer:
n = 19/6
Step-by-step explanation:
Formula for C(n,r) = n!/(r!(n-r)!)
C(n,3) = n! /( 3! * (n - 3)!)
Formula for P(n,r) = n!/(n-r)!
P(n,2)= n!/(n-2)!
C(n, 3) = P(n, 2)
n! /( 3! * (n - 3)!) = n!/(n-2)!
[tex]\frac{n!}{3!(n-3)!}= \frac{n!}{(n-2)!}[/tex] cross multiply
n!(n-2)! = n! 3! (n-3)!
(n-3)! = (n-3)(n-2)!
so n!(n-2)! = n! 3! (n-3)! becomes
n!(n-2)! = n! 3! (n-3)(n-2)! divide both sides by n!(n-2)!
1 =6(n-3)
1 =6n -18
19 = 6n
n = 19/6
Factor completely. 7 +14 x + 7 x^2
Answers
Answer:
(7x+7 )(x+1 )
Step-by-step explanation:
7x²+14x+7
(7x+7 )(x+1 )
7x²+7x+7x+7
7x²+14x+7
Answer: 7(1+x)^2
Step-by-step explanation: I got it wrong because of that person at the top your welcome
Which graph shows the solution to the inequality –0.5x ≤ 7.5? A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the right of the circle is shaded. A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the left of the circle is shaded. A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the right of the circle is shaded. A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the left of the circle is shaded.
Answers
Answer:
its definetely A.
Step-by-step explanation:
i got it right on my assignment
Option B is correct that is a closed circle is at negative 15. Everything to the right of the circle is shaded.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.
The solution to the inequality –0.5x ≤ 7.5 a closed circle is at negative 15 and everything to the right of the circle is shaded. The graph of the inequality is attached with the answer.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ2
Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$____
Answers
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
What is the value of the expression Negative 225 divided by (negative 15)?
Answers
Explanation: A negative divided by a negative is positive
Answer:
The Answer is 15
Step-by-step explanation:
the answer is 15 because that is what i got after i did all the work and i got it correct.
Which ordered pair is a solution of the equation? 5x+12y=60
(0,5)
2, 25/6
both
or neither
Answers
Answer:
both
Step-by-step explanation:
you can solve this problem with substitution:
5(0) + 12(5) = 60
0 + 60 = 60 is true, therefore the first ordered pair is a solution
the second ordered pair is:
2, 25/6
therefore:
5(2) + 12(25/6) = 60
10 + 50 = 60
10 + 50 = 60 is true, therefore the second ordered pair is also a solution.
in conclusion, both of the ordered pairs are solutions.
4 lines extend from point B. A line extends straight up from B to point A. Another line extends up and to the right to point C. Another line extends slight up and to the right to point D. The other line extends slightly down and to the right to point E.
Given that ∠ABC ≅ ∠DBE, which statement must be true
Answers
Answer:
∠ABD ≅ ∠CBE
Step-by-step explanation:
took the course
Y’ALL MIND TO HELP ME I HATE SCHOOL SO MUCH THAT IT MAKES ME WANT TO STAB MYSELF WITH A FORK BECAUSE I DONT UNDERSTAND ANYTHING IN THIS. anyway can y’all help me wit this ? I would appreciate it
Answers
Answer: Are you in summer school pfft
Step-by-step explanation: I won’t help you cheat
Find an equation for the line that passes through the points (2, 3) and (-6, 5).
Answers
So the answer is -1/4x+3.5, thats the answer ok
