Answer:
Darcy drove 425 miles
Step-by-step explanation:
you find this out by doing the equation 1,020-595
A stack of 12 bricks is 27 inches high. How high is each brick?
Answer: 2.25 inches
Step-by-step explanation:
27/12= 2.25
(x+2)(x-3)(x+5) is identical to x^(3)+ax^(2)-11x+b
Find the value of a and the value of b
Answer:
a = 4 and b = - 30
Step-by-step explanation:
Expand the left side and compare like terms on both sides, that is
(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² - x - 6)(x + 5) ← distribute
= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ +ax² - 11x + b
4x² and ax² ⇒ a = 4
+ b and - 30 ⇒ b = - 30
The requried simplified values of a and b are given as 4 and -30 respectively.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
(x+2)(x-3)(x+5) = x³+ax²-11x+b
(x + 2)[x² +2x -15 ] = x³+ax²-11x+b
x³ +4x² -11x - 30 = x³+ax²-11x+b
Comparing both sides,
a = 4 and b = -30
Thus, the requried simplified value of a and b are given as 4 and -30 respectively.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Which property is illustrated by the
equation below?
7 + (-7) = 0
A. Additive Inverse Property
B. Distributive Property
C. Associative Property of Addition
D. Additive Identity Property
Answer:
additive inverse
Step-by-step explanation:
-7 is the inverse of 7 so adding it would cancel it out making it 0
Find the area and the circumference of a circle with a diameter of 17cm
Answer:
Step-by-step explanation:
d = 17 cm
r = 17/2 = 8.5 cm
Circumference of circle = πd
= 3.14 * 17
= 53.38 cm
Area of circle = πr²
= 3.14 * 8.5 * 8.5
= 226.865 cm²
Help please will give brainly! Clara’s friend Brian decides to find his median as well. Find the median and type it in the answer box. What does the median show us?
Answer:
The median is 88. The median shows that Brian gets on average 88% on his tests.
Step-by-step explanation:
If you put the numbers in order and get the average of the two middle number, it is 88.
Consider the following polynomial.
-2xys + 3x? - 10x°y6 + 8x + 4
Which of the following statements are true? Select all that apply.
-The polynomial has 5 terms.
-The leading coefficient is -2.
.
-The degree of the polynomial is 7.
-The constant term is 4.
-The polynomial is in decreasing degree order.
Answer:
Step-by-step explanation:
If you write correctly:
[tex]P = -2xys+3x? - 10xy^{6} +8x+4\\[/tex]
I do not know the "?" in the formule de P
-The polynomial has 5 terms. Yes
-The leading coefficient is -2. No
.
-The degree of the polynomial is 7. Yes
-The constant term is 4. Yes
-The polynomial is in decreasing degree order. No
Fond the equation of the line shown
Answer:
y+-1/2x-1
Step-by-step explanation:
The line is negative
It rises one digit and runs 2
and it crosses though -1 on the y axis
Please help with this
Answer:
A
Step-by-step explanation:
what is the difference between - 21 and -8 on a number line?
Answer:
They are 13 units apart. -8 is closer to zero while -21 is farther ways from zero.
Please can’t Gail this
Answer:
4
Step-by-step explanation: because you up four and move 1 so the answer is 4/1 but is simplified by 4
There were 23 students running in a race. How many different arrangements of first, second, and third place are possible?
Answer:
10626 different arrangements
Step-by-step explanation:
As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.
The formula for a permutation of n choose p is:
P(n,p) = n! / (n-p)!
So, using n = 23 and p = 3, we have:
P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626
So we have a total of 10626 different arrangements of first, second and third place.
what is the sum of -7 and its additive inverse?
Answer:
0
Step-by-step explanation:
An additive inverse is any number that adds to a certain number to make the value 0. For example, 6 has an additive inverse of -6. Therefore, -7 has an additive inverse of 7 because 7-7 (or -7+7)=0
Answer:
0
Step-by-step explanation:
help plz question is in the photo
Answer:
A. Trinomial
Step-by-step explanation:
It says it's a polynomial and that based on the number of terms. So right then you can cancel out cubic and quadratic because they aren't polynomials. Also:
Cubic is just a variable with the exponent of 3. Examples:
[tex]x^3,y^3,z^3[/tex]
Binomial is a polynomial with 2 terms. Examples:
[tex]5x+3; 6x+2; x+7[/tex]
A quadratic has a division sign.
the question is on the image
Answer:
1/6
Step-by-step explanation:
The slope of a line in y=mx+b form is always the number before the x value.
Hope this helps!
Find the area of a trapezoid, base 1 measures 5 inches, base 2 measures 11 inches, height measures 7 inches
Answer:
56
Step-by-step explanation:
Which linear function has the same y-intercept as the one that is represented by the graph?
The function shown is y=-2x+10
If we want the same y-intercept all we need to fo is change the slope.
For example, these are valid asnwers,
y=-3x+10
y=0.5x+10
y=10x+10
Answer:
y = 2x+10
Step-by-step explanation:
Answer this there is a pic
Answer:
A
Step-by-step explanation:
1:2.5 because 2/2=1 and 5/2=2.5
Help me find the MAD volume please
How many sundaes are there?
Answer:
2
Step-by-step explanation:
8+12+4+8 = 32
32/4 = 8
8-8 = 0
12-8 = 4
8-4 = 4
8-8 = 0
4+4+0+0 = 8
8/4 = 2
help help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The first option, the mayor will lose by a large percentage.
Step-by-step explanation:
If you look at the numbers, You can see that the two best answers which are excellent and satisfactory are low, and in total equal 28.
Being compared to the lower ratings which are needs improvement and unsatisfactory are high, and in total equal 52.
Seeing this, this shows that the mayor will lose the election the with more than half of the people voting for someone else.
All the other options excluding the first one, say that he will win by a close call, a big percent, or a close call again.
which just leaves the first option saying that he will lose by large percent, which is true.
ASAP! PLEASE HELP. What is the measure of BCD?
Answer:
(5x)°
Step-by-step explanation:
Vertical angles.
Please mark as Brainliest! :)
Have a nice day.
Which ratio is not equivalent to the others?
Answer:
4:7
Step-by-step explanation:
3:5=6:10/2=3:5
9:15=9:15/3=3:5
Answer:
number 13. is d
Step-by-step explanation:
Help anyone? Brainliest and five stars if correct
Answer:
X=1
Step-by-step explanation:
6x+2=9x-1
-6x on both sides
2=3x-1
+1 on both sides
3=3x
/3 on both sides
1=x
Flip
X=1
add or subtract (7x^2-x-2)-(-6x^3+3)
Answer:
[tex] \tt{}6x ^{3} + {7x}^{2} - x - 5[/tex]
Step-by-step explanation:
[tex] \tt{}(7 {x}^{2} - x - 2) - ( - 6 {x}^{3} + 3)[/tex]
[tex] \tt{}7 {x}^{2} - x - 2 + 6x^{3} - 3[/tex]
[tex] \tt{} {7x}^{2} - x - 5 + 6x ^{3} [/tex]
[tex] \tt{}6x ^{3} + {7x}^{2} - x - 5[/tex]
Answer:
[tex]6 {x}^{3} + 7 {x}^{2} - x - 5[/tex]
Step-by-step explanation:
[tex](7 {x}^{2} - x - 2) - ( - 6 {x}^{3} + 3)[/tex]
➡️ [tex]7 {x}^{2} - 2 - ( - {6}^{3} + 3)[/tex]
➡️ [tex]7 {x}^{2} - x - 2 + 6 {x}^{3} - 3[/tex]
-2 - 3-(2 + 3)-5➡️ [tex]7 {x}^{2} - x - 5 + 6 {x}^{3} [/tex]
➡️ [tex]6 {x}^{3} + 7 {x}^{2} - x - 5[/tex] ✅
Can someone help with this
Answer:
the answered is -3 like in the picture
Step-by-step explanation:
What is the circumference
Answer:
Circumfrence is the distance around the circle. Sort of like a perimeter of a square.
Step-by-step explanation:
To solve the picture: the answer is 8 pi cm. The formula for circumference is C= 2pir, in which r is the radius. This means multiply the radius by 2 and then by pi. This is also known as C= dpi (d meaning diameter)
1. On a quiet day without many witnesses, a 4.5 ft victim is shot by a sniper that
was in a tower 780 ft away. If the angle of elevation is 48° from the victim, at
what vertical distance did the sniper shoot from?
Answer:
The sniper shoot from 870.775 feet vertical distance.
Step-by-step explanation:
Refer the attached figure
Height of victim = AB = 4.5 ft.
Distance between tower and victim BC = 780 feet
The angle of elevation =[tex]\angle DAE = 48^{\circ}[/tex]
Let DE be x
AB = CE = 4.5 feet
BC =AE = 780 feet
Height of tower = DE+CE=x+4.5
In ΔDAE
[tex]\frac{Perpendicular}{Base}=Tan\theta\\\frac{DE}{AE}=Tan 48^{\circ}\\\frac{x}{780}=1.11061\\x=1.11061 \times 780\\x=866.275[/tex]
Height of tower = DE+CE=x+4.5=866.275+4.5=870.775 feet
Hence the sniper shoot from 870.775 feet vertical distance.
a line passes through the point (-9, 1) and had a slope of -2/3. Write an equation in point-slope form for this line
Answer:
y-1=-2/3(x+9)
Step-by-step explanation:
y-1=-2/3(x-(-9))
y-1=-2/3(x+9)
A monkey is swinging from a tree. On each swing, she travels along an arc that is
75%, percent as long as the previous swing's arc. The total length of the arcs from her first 4 swings is 175m.How long was the monkey's 1st swing?
Round your final answer to the nearest meter.
Answer:
Total length of the first swing=64 m
Step-by-step explanation:
The total length of all four swings can be expressed as; Total length of all 4 swings=Length of first swing+length of second swing+length of third swing+length of fourth swing
where;
Total length of all 4 swings=175 m
Length of first swing=x
Length of second swing=75% of length of first swing=(75/100)×x=0.75 x
Length of third swing=75% of length of second swing
Length of third swing=(75/100)×0.75 x=0.5625 x
Length of fourth swing=75% of length of third swing
Length of fourth swing=(75/100)×0.5625 x=0.421875 x
replacing;
Total length of all 4 swings
175=x+0.75 x+0.5625 x+0.421875 x
2.734375 x=175
x=175/2.734375
x=64
Total length of the first swing=x=64 m
What does the word ‘Denotation’ mean?
Answer: Depends on what your talking about so I'll give all 3 definitions.
Step-by-step explanation:
1.)The literal or primary meaning of a word, in contrast to the feelings or ideas that the word suggests.
-Used in a sentence- Beyond their immediate denotation, the words have a connotative power.
2.) When used in philosophy it means, the object or concept to which a term refers, or the set of objects of which a predicate is true.
3.) And, the last definition is, the action or process of indicating or referring to something by means of a word, symbol, etc.
Ms. Sanders put $5,200 in a savings account that pays 4.2% simple interest. Each year she withdraws the interest and treats herself to a visit to a spa. How much can she spend each year?
Answer:
$218.40
Step-by-step explanation:
i=prt
i=(5200)(.042)(1)