Answer:
multiply by (3-√7)/(3 -√7) and simplify
Step-by-step explanation:
When there are radicals or complex numbers in the denominator, you can rewrite the expression so it has a real, rational denominator. You do this by multiplying numerator and denominator by the conjugate of the denominator. That value is the denominator with its sign changed.
This takes advantage of the factoring of the difference of squares.
(a -b)(a +b) = a² -b²
__
[tex]\dfrac{2}{3+\sqrt{7}}=\dfrac{2}{3+\sqrt{7}}\times\dfrac{3-\sqrt{7}}{3-\sqrt{7}}=\dfrac{2(3-\sqrt{7})}{3^2-(\sqrt{7})^2}=\dfrac{2}{9-7}\times(3-\sqrt{7})\\\\=\boxed{3-\sqrt{7}}[/tex]
what is 25 divided by 4(bonus question)
Answer:
6.25
Step-by-step explanation:
How i can answer this question
Answer:
2a + 7
Step-by-step explanation:
2a + 6 + 1 ← collect like terms
= 2a + (6 + 1)
= 2a + 7
F. A marketing company offers to pay $25 to the first 100 people who respond to its advertisement
and complete a questionnaire regarding its client's product. This will produce which type of
sample?
A. simple random sample
C. voluntary response sample
B. convenience sample
D. multistage cluster sample
HELPP ASAP PLZZZZZZZ LIKE RNN plzzzzzzz
Answer:
Convenience sample
Step-by-step explanation:
Getting paid to respond
Fred mixes 3 1/2 cups of flour, 1 1/4 cups of sugar, 2/3 cup of rye flour, and 1/3 cup of wheat flour. Will the ingredients fit into a 6-cup bowl?
Graph the solution to this inequality on the number line.
-3x<4.2
-3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1
1.5 2
2.5 3
[tex]\\ \sf\longmapsto -3x<4.2[/tex]
[tex]\\ \sf\longmapsto x<4.2/-3[/tex]
[tex]\\ \sf\longmapsto x<-1.4[/tex]
Graph attached
The solution to the given set of inequality is -
x > - 1.4.
What is the general equation of a Straight line? What is a linear inequality?
The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
A linear equality is of the form -
y ≤ mx + c
y ≥ mx + c
y > mx + c
y < mx + c
We have the given inequality as -
-3x < 4.2
We have the following inequality as -
-3x < 4.2
x > (- 4.2/3)
x > - 1.4
Therefore, the solution to the given set of inequality is -
x > - 1.4.
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2
Will mark brainliest if you can resolve this problem ( 2 possible answers, NO LINKS OR ANSWERS WITHOUT EXPLANATION)
I can give u the permission of drawing the boxplot by:
- saving the picture or screenshot it ( it's better to screenshot it (Windows+ Logo+Shift+s) )
- drawing the answer on the screenshot Windows
- save the picture (Ctrl+s)
- and finally send it to brainly
(P.s: many people (those who are good at I.T) will argue with the procedure of doing the answer. But many people don't. So I gave the procedure step-by-step to you to show me the working) Thx
Here's the picture:
Answer:
Hopefully this is what you are looking for.
Step-by-step explanation:
Hope this helps!
Given the function f(x) x^2-2x/x^3 +9x^2-10x Find any holes, vertical asymptotes, and horizontal asymptotes there may be.
Answer:
See below
Step-by-step explanation:
I assume you mean [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex]:
Holes: Since [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex] reduces to [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex], then there is a hole at [tex]x=0[/tex] as [tex]x[/tex] exists in both the numerator and denominator (however, its limit as x approaches 0 is 1/5).
Vertical Asymptotes: If we further reduce [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex] to [tex]f(x)=\frac{x-2}{(x+10)(x-1)}[/tex], then we see that there are vertical asymptotes at [tex]x=-10[/tex] and [tex]x=1[/tex]
Horizontal Asymptotes: As the degree of the numerator is less than the degree of the numerator ([tex]2<3[/tex]), then there is a horizontal asymptote at [tex]y=0[/tex]
1 1/3 x 5/8
A.3/4
B.4/5
C.5/6
D.5/8
What is the answer to this?
Answer:
option b.)y=1/4x-7/2.....
antonio baked 150 muffins 46% are blueberry how many blueberry muffins did he bake
Answer:
69
Step-by-step explanation:
150*(0.46) = 69 blueberry muffins
in a dilation, what is preserved and what is altered?
Answer:
Preserve angles
Step-by-step explanation:
i think sorry if its wrong
Answer:
to preserve angles
Step-by-step explanation:
A money market account dropped to 5/8 its original value of $7.200. What is its current value?
A. 180
B. 450
C. 1,152
D. 4,500
E. 11,520
Answer:
Which claim most accurately describes the energy transformation taking place while he practices his guitar?
Sound energy is converted into elastic energy.
Kinetic energy is converted into thermal energy.
Mechanical energy is converted into sound energy.
Electrical energy is converted into mechanical energy.
Step-by-step explanation:
Answer:
C. 4,500
Step-by-step explanation:
Since we have 5/8 of the original 7200, we can multiply and divide.7200*5=3600036000÷8=4500Therefore, the answer is c, 4,500Distance between each pair of points (-6,-4.7) and (-6,4.1)
Answer:
8.8
Step-by-step explanation:
as X1=X2
we use | Y2-Y1 |
=| 4.1 -(-4.7) |
=| 8.8 |
=8.8
how do I dilate triangles using scale factors? step by step
Answer:
so first you
Step-by-step explanation:
find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.
Helpp real quick GIVING CROWNN!!
Answer:
2g+60>92
Step-by-step explanation:
Which expression is equivalent to 2-5?
○
A 1/5 x 1/5
B (-5)(-5)
C1/2x1/2x 1/2 x 1/2
D (-2)(-2)(-2)(-2)(-2)
Answer:
non of them are there any other answers
Step-by-step explanation:
2-5=-3
1/5*1/5=1/25
(-5)(-5)=25
1/2*1/2*1/2*1/2=1/16
(-2)(-2)(-2)(-2)(-2)=-32
Pleas dose anyone know all the answers to the South and East Asia for endogeneity unit test? :)
40 kg of tomatoes cost $200 how many kilograms of tomato’s can you get with $45
Answer:
9 kg of tomatoes
Step-by-step explanation:
Cost of 40 kg of tomatoes = $200
Cost of 1 kg of tomatoes = 200/40 = $5
For $45, we get x kg of tomatoes,
kg $
1 5
x 45
=> 45*1/5 = x kg (by cross multiplication)
=> 45/5 = x kg
We get 9 kg of tomatoes for $45.
Hope you understood!
Answer:
(9 Kg) You can get 9 kilograms of tomato's with 45$
Step-by-step explanation:
The graph shows the number of possible passengers for a given number of roller coaster cars that leave the platform. Complete parts a and b.
m = 24 - [?] / [?] - 2 = [?]/1
y = [?]x
The linear equation is y = 8x and the slope of the graph is 8
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of y.
Using the points (2, 16) and (3, 24):
[tex]slope(m)=\frac{24-16}{3-2}=8[/tex]
Hence the linear equation is y = 8x
Find out more on linear equation at: https://brainly.com/question/14323743
Fifteen cards numbered 1-15 are placed in a hat. What is the probability that the card has a multiple of 3 on it, given that the card picked is an odd
number? Express your answer as a fraction in simplest form.
The probability that the card has a multiple of 3 and an odd number is 20%.
How to find the card has a multiple of 3 on it, given that the card picked is an odd number?Given:
The number of cards: 15
Multiples of 3 and odd no are 3,9, and 15.
The number of cards Multiples of 3 and odd number = 3
Probability of getting a multiple of 3 cards = 3/15× 100
⇒ 20%
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Learn more about Probability here: brainly.com/question/251701
#SPJ2
The point F( – 4,6) is translated 6 units right. What are the coordinates of the resulting point, F'?
i.e
[tex]\\ \sf{:}\Rrightarrow -4+6=2[/tex]
New co-ordinates:-
[tex]\\ \sf{:}\Rrightarrow F(2,6)[/tex]
Anyone know this answer I will give you 28 point.
Answer:
V to X = 68mi
X to W = 50mi
V to W = will be 68mi too
Step-by-step explanation:
note ; it's a triangle*
Write the statement "cars are vehicles" as a conditional statement. Then write the converse. Also, write the inverse.
Cars are vehicles means cars=Vehicles
So
[tex]\\ \sf\longmapsto C=V[/tex]
Converse statement:-
Vehicles are cars[tex]\\ \sf\longmapsto V=C[/tex]
pls help me
do maths
The cashier read the totals: $33.83, $19,40, $43.50, $3.08, $2.40. Circle the number that is wrong and record what it should be explain how you corrected the mistake
Answer:
74.0 g/mol
Explanation:
Step 1: Write the generic neutralization reaction
HA + NaOH ⇒ NaA + H₂O
Step 2: Calculate the reacting moles of NaOH
At the equivalence point, 33.83 mL of 0.115 M NaOH react.
0.03383 L × 0.115 mol/L = 3.89 × 10⁻³ mol
Step 3: Calculate the moles of HA that completely react with 3.89 × 10⁻³ moles of NaOH
The molar ratio of HA to NaOH is 1:1. The reacting moles of HA is 1/1 × 3.89 × 10⁻³ mol = 3.89 × 10⁻³ mol.
Step 4: Calculate the molar mass of the acid
3.89 × 10⁻³ moles of HA have a mass of 0.288 g.
M = 0.288 g / 3.89 × 10⁻³ mol = 74.0 g/mol
you need to really explain more and not going in person
.pleseee help so important
my answer with solving steps
#CARRYONLEARNING
LOVEUALL
Find the equation of a line that passes through the point (1,4) and has a gradient of -4.
Leave your answer in the form
y
=
m
x
+
c
Answer:
y= -4x+8
Step-by-step explanation:
y-y1= m(x-x1)
y-4 = (-4)(x-1)
y-4 = -4x+4
y = -4x+4+4
y = -4x+8
10 A seal pup gains 28% of its birth weight each
day for the first 10 days of its life.
A one-day-old pup weighs 17.92 kg.
How much did it weigh at birth?
Answer:
WEIGHT
550 to 880 pounds
LIFESPAN
25 to 35 years
LENGTH
7.5 to 10 feet
THREATS
Entanglement, harassment, chemical contaminants, oil spills and energy exploration, vessel and vehicle interactions
REGION
New England/Mid-Atlantic
Step-by-step explanation:
Step-by-step explanation:
Hmm so a pup gains 28% weight every day for the next 10 days.. But a day old puppy weight 17.92kg sooo
28%+10every day=10.28
17.92-28%=12.9
17.92x10=179.2
Hmmmm
Well a seal pup weights 8-12kg on birth so ye I was right anweser is 12
a cook starts baking pies at the clock shown below. The first pie is done 25 min later. The 2nd pie is done 30 min later after the first pie which clock shows when the second pie was done
Answer:
1:45 pm
Step-by-step explanation:
its the hand thats a littke more on the left after 6
SOLVE HYPOTENUSE LEG-HL
-GEOMETRY
[tex]\huge \rm༆ Answer ༄[/tex]
The required information needed to prove the two triangles congruent by HL congruency criteria is ~
[tex] \sf {VW} \cong BA[/tex]