Answer:
F(x)=-x^2-4x-1
Step-by-step explanation:
According to PEMDAS, do the exponent part for the parentheses, sense it goes first.
F(x)= -(x^2+4x+4)+3
Then distribute the - sign
F(x)= -x^2-4x-4+3
Then you simplify
F(x)= -x^2-4x-1
Answer:
Hello,
Step-by-step explanation:
do I remind you of the formula (a+b)²=a²+2ab+b²
[tex]f(x)=-(x+2)^2+3\\\\=-(x^2+4x+4)+3\\\\=-x^2-4x-4+3\\=-x^2-4x-1[/tex]
Sorry i haven't see the sign minus before the parenthesis.
A boat travels 160 miles per hour. What is the speed in miles per minute?
Now
[tex]\\ \sf\longmapsto 160\times \dfrac{1}{60}[/tex]
[tex]\\ \sf\longmapsto \dfrac{160}{60}[/tex]
[tex]\\ \sf\longmapsto 2.6miles/min[/tex]
Mr. Ellington has a total of 32 students in his class , The ratio of girls to boys is 3:5, how many girls are in Mr . Ellington's class ?
Add the ratio: 3 + 5 = 8
Divide total students by that:
32/8 = 4
The ratio for girls is 3, multiply the 4 by 3:
4 x 3 = 12
There are 12 girls
Answer:
12
Step-by-step explanation:
If the ratio of girls to boys is 3:5, that means that for every 8 total students, 3 would be girls and 5 would be boys. Therefore 3/8 of the students are girls and 5/8 are boys. If 3/8 are girls, then:
[tex]\frac{3}{8}[/tex] of 32
= [tex]\frac{3}{8} * 32[/tex]
[tex]=\frac{3 * 32}{8} \\= \frac{96}{8} \\= 12[/tex]
There are 12 girls.
Each cat at the animal shelter gets
5/6 pound of food. Allie has 9 1/2
pounds of cat food. How many cats
can Allie feed?
A: 7
B:9
C: 11
D:13
Answer: C : 11
Step-by-step explanation:
Graph the function f(x) = 2√x+2 .
All help is appreciated!
Answer:
Not sure which was your intended, but here are two options.
Step-by-step explanation:
please help
Find f(1/3) if f(n) = 3n.
Answer:
1
Step-by-step explanation:
f(n) = 3n
f(1/3)= 3*(1/3)=1
f(1/3)=1
Answer:
3
Step-by-step explanation:
Plugin n = 1/3
f(n) = 3n
[tex]f(\frac{1}{3})=3*\frac{1}{3} = 3[/tex]
Suppose there are approximately 220 calories in 3 servings of a particular brand of cereal and 362 calories in 5 servings of the same cereal. Find the rate of change.
Answer:
.93 calories per serving
Step-by-step explanation:
220 ÷ 3 = 73.3333333 calories per serving
3 ÷ 220 = 0.0136363636
362 ÷ 5 = 72.4
5 ÷ 362 = 0.0138121547
73.3333333 - 72.4 = 0.9333333 = around .93
write down amultiple of 4 and 14 which is less than 30
28
How?
Multiples of 4=8,12,16,20,24,28Multiples of 14=28,42We can see that 28 is the lowest common multiple also it is <30
Answer: 28.
Step-by-step explanation: 28 is divisible by 4: 28 / 4 = 7. 28 is divisible by 14: 28 / 14 = 2. And 28 is less than 30
A number added to -25 results in an even less
value. Which of the following could be that
number? Select all that apply and model the situation to prove your choice(s).
a) 3
b) 2
c) 1
d)0
e)-1
f)-2
g) -3
А.
10 ft
6 ft
N
B.
8 ft.
С
Find the area of the triangle ABC.
[?] fto
Enter
Answer:
24 ft^2
Step-by-step explanation:
Area of ABC=(1/2)*b*h
=(1/2)*8*6=24 ft^2
Me ajudem!
f(x) = 2x + 4
para f(5)
Answer:
f(5) = 2(5) + 4
= 10 + 4
f(5) = 14
3. A publishing house is selling subscriptions to its magazines for 20% off the original price. If a
subscription to Newsweek Magazine is on sale for $72, how much does it usually cost?]
a) $14.40
b) $57.60
c) $86.40
d) $90
If the fourth term in a geometric sequence is –1 and the common ratio is –1, find the explicit formula of the sequence.
A)
an = (1) ⋅ (–1)n – 1 for n ≥ 1
B)
an = (– 1) ⋅ (1)n – 1 for n ≥ 1
C)
an = (–1) ⋅ (–1)n – 1 for n < 1
D)
an = (1) ⋅ (1)n – 1 for n ≥ 2
Answer:
Hello,
Answer A
Step-by-step explanation:
[tex]a_4=-1\\q=-1\ common\ ratio\\\\a_4=a_1*q^3\ -1=a_1*(-1)^3 \Longrightarrow\ a_1=1\\\\\\\boxed{a_n=1*(-1)^{n-1}}\\\\\\Since \ all \ formula\ are\ so\ bad\ written,\ I\ suppose\ that\ the\ answer \ is \ A\\[/tex]
Answer:
an = (1) ⋅ (–1)n – 1 for n ≥ 1
Step-by-step explanation:
took the test and got it right
hope this helps
Adam is three years older than Joe. After three years, Adam’s age will be four years less than two times Joe's age. Considering Adam's present age as x years and Joe’s present age as y years, write a pair of linear equations to model the above situation.
Answer:
2y=2y-4=x
Step-by-step explanation:
this geometric sequence?
What is the explicit formula for
8, 4, 2, 1, ...
Answer:
D
Step-by-step explanation:
the first term is 8, the ratio is 1/2 ( 8*1/2 = 4, 4*1/2 = 2, 2*1/2 = 1)
the formula for an explicit geometric formula is :
[tex]a_{n} = a_{1} * r^{(n-1)}[/tex]
plug in your numbers :
[tex]a_{n} = 8 * (\frac{1}{2}) ^{(n-1)}[/tex]
Question 5 10 pts Which function represents the inverse of f(x) = (x + 6)2 - 5? of 1(1) = V1 + 5 - 6 of '(x) = (x + 5)2 - 6 of '(x) = V1 – 6 + 5 Of '(x) = (x + 6 – 5
Answer:
f(x)^-1(x) =sqrt(x+5) -6
Step-by-step explanation:
f(x) = (x + 6)^2 - 5
y = (x + 6)^2 - 5
Exchange x and y and solve for y
x = (y + 6)^2 - 5
Add 5 to each side
x+5 = (y + 6)^2 - 5+5
x+5 = (y + 6)^2
Take the square root of each side
sqrt(x+5 )= sqrt( (y + 6)^2 )
sqrt(x+5 )=(y + 6)
Subtract 6 from each side
sqrt(x+5 ) -6=y + 6-6
sqrt(x+5) -6 = y
15x + 14 = 149
Plz solve for x
Answer:
x = 9
Step-by-step explanation:
When doing these types of problems, the main goal is to get the variable by itself. Its kind of hard to explain with words so I will just use numbers.
15x + 14 = 149
(Subtract 14 on both sides. Remember, when you do something (Like subtracting, adding, etc.) on one side you have to do it to the other.)
15x + 14 = 149
-14 = -14
---------------------------
15x = 135
(Divide 15 on both sides. Since we need to use inverse operation to cancel the 15 out, we would divide 15 on both sides.)
15x/15 = 135/15
x = 9
Hope this helps :)
Answer:
x=9Step-by-step explanation:
[tex]\sf 15x + 14 = 149[/tex]
[tex]\sf 15x+14-14=149-14[/tex]
[tex]\sf 15x=135[/tex]
[tex]\sf \cfrac{15x}{15}=\cfrac{135}{15}[/tex]
[tex]\sf x=9[/tex]
How much gift wrap is
needed to cover a box
measuring 18 inches by
12 inches by 4 inches?
Answer:
All we need to do here, is to find the total surface area.
In this case, we have:
2(18x12 + 18x4 + 12x4) which is equal to 672
Let me know if this helps!
which letter has horizontal not vertical symmetry H, W, Y, E
I thing W,Y is righ am i right.
Which shows two triangles that are congruent by ASA?
Answer:
A and D
Step-by-step explanation:
The two triangles that are congruent by ASA is discussed below.
What is Congruency?Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. "Congruent" refers to things that are precisely the same size and shape.
Angle-Side-Angle refers to the ASA Congruence rule.
According to this rule, two triangles are said to be congruent if any two of their respective angles and the side that is included between them are equal to the corresponding angles and the included side of the other triangle.
For example, there are ABC and DEF in which ∠ B = ∠ E, ∠ C = ∠ F, and BC = EF
Then, the triangle that Δ ABC ≅ Δ DEF by ASA congruence rule.
Learn more about Congruency here:
https://brainly.com/question/7888063
#SPJ5
Ken needs a surgery on his foot. The estimated cost of the surgery is $5,000. The insurance policy provided by Ken's company has $500 deductible and 20% co-pay. How much will Ken have to pay for foot surgery?
9514 1404 393
Answer:
$1400
Step-by-step explanation:
Ken will be required to pay the deductible and 20% of the remaining amount.
Ken pays $500 + 0.20(5000 -500) = $500 +900
Ken pays $1400
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 2 milliliters of compound B. If a chemist wants to make 280 milliliters of the drug, how many milliliters of compound B are needed?
Answer:
42 milliters of compound B are needed......Actually I am not sure hope this may urr answer....
The denominator of a fraction exceeds twice the numerator of the fraction by 10. The value of this fraction is 5/12. Find the fraction.
Answer:
25/60
Step-by-step explanation:
Numerator = n
[tex]\frac{n}{2n + 10} = \frac{5}{12}[/tex]
Cross multiply:
n * 12 = (2n + 10) * 5
12n = 10n + 50
12n - 10n = 10n + 50 - 10n
2n = 50
n = 25
Fraction = [tex]\frac{25}{60}[/tex]
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
25/60
Step-by-step explanation:
Study Island:)
Help ASAP plssss! Thanks
Points are
(-2,-2)(4,4)[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(4+2)^2+(4+2)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{6^2+6^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36+36}[/tex]
[tex]\\ \sf\longmapsto \sqrt{72}[/tex]
[tex]\\ \sf\longmapsto 8.4[/tex]
Aug 10,9:55:10 AM
Find the length of the third side. If necessary, round to the nearest tenth.
16
10
Submit Answer
Answer:
attempt 1 out of 2
In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=5, b=7, y=31°
Answer:
9.013 square units
Step-by-step explanation:
could anyone help with this tyy!
Part IV: Sketch the graph of y = x2 - 9x + 20. Identify the vertex and x- and y-
intercepts on your sketch. (3 points)
intercepts
y = x^2 - 9x + 20
y = (x - 5)(x - 4)
x-ints at (5, 0) and (4, 0)
y = (0 - 5)(0 - 4)
y = 20
y-int at (0, 20)
vertex
y = 1x^2 - 9x + 20
-b / 2a = 9/2(1)
vertex (4.5, y)
y = (x - 5)(x - 4)
y = (4.5 - 5)(4.5 - 4)
y = -0.5(0.5)
y = -0.25
vertex (4.5, -0.25)
i recommend using desmos if in the future you need help
Look at this cube
If the side lengths are halved, then which of the following statements about its surface area will be true?
Answer:
the new surface Will be 1/4 pf the old surface
Step-by-step explanation:
because the surface with 7 in Is about 294 and with 3.5 (1/2 of 7) Is 73.5.
so 294:4 Is 73.5
excuse me for my bad English but I'm italian
Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.
Answer:
true for all x
Step-by-step explanation:
3x - 4 ≤ 2
Add 4 to each side
3x - 4+4 ≤ 2+4
3x<6
Divide by 3
3x/3 <6/3
x<2
or
2x + 11 ≥ -1
Subtract 11 from each side
2x + 11-11 ≥ -1-11
2x≥ -12
Divide by 2
2x/2 ≥ -12/2
x ≥ -6
x<2 or x ≥ -6
true for all x
Express in terms of power =(3x) ×(3x)× (3x)× (3x)
Answer:
3x^4
Step-by-step explanation:
3x • 3x • 3x • 3x = 3x^4
said like “3x to the 4th power”
Answer:
[tex](3x)^4}[/tex]
Step-by-step explanation:
further it can represent as [tex]3^{4} x^{4}[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Of the following points, name all that lie on the same vertical line?
(0,8) (-5,0) (-1,0) (0,7)
A. (0,8) (-5,0) (-1,0) (0,7)
B. none
C. (-5,0) (-1,0)
D. (0,8) (0,7)
Answer:
D
Step-by-step explanation:
vertical is basically the x axis, so the y axis has to be 0. using elimination, (0,8) and (0,7) are the only ones left.
