Solve x(x - 2) = 4
Using quadratic formula
(Show step by step for the answer because I gotta show my work)
Answer:
x = 1 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
x(x - 2) = 4
Multiply x on the left side by foil.
[tex]x^{2}- 2x = 4[/tex]
Subtract 4 on both sides.
[tex]x^{2} -2x-4=0[/tex]
Now, the quadratic formula.
x = (-b ± [tex]\sqrt{b^{2} - 4ac }[/tex]) / 2a
Using the standard form equation.
Ax² + Bx + C = 0
(1)x² - 2x - 4 = 0
A = 1
B = -2
C = -4
x = (-(-2) ± [tex]\sqrt{(-2)^{2}-4(1)(-4) }[/tex]) / 2(1)
x = (2 ±[tex]\sqrt{4+16}[/tex] ) / 2
x = (2±[tex]\sqrt{20}[/tex])/2
x = (2±2[tex]\sqrt{5}[/tex])/2
x = 1 ± [tex]\sqrt{5}[/tex]
Grace has a segment with endpoints C (3, 4) and D (11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. She knows the distance between the x coordinates is 8 units. Which of the following fractions will let her find the x coordinate for point E?
The value of x coordinate for point E is,
⇒ x = 6
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
Grace has a segment with endpoints C (3, 4) and D (11, 3)
And, It is divided by a point E such that CE and DE form a 3:5 ratio.
Hence, We get;
The coordinates of E is,
E = [ ( 3× 11 + 5 × 3)/(3 + 5) , (3×3 + 5 × 4)/(3 + 5) ]
= [ (33 + 15)/8 , (9 + 20)/8 ]
= *(48/8 , 29/8)
= (6 , 3.625)
Thus, The value of x coordinate for point E is,
⇒ x = 6
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A student ran a distance of 3 and 1 over 2 miles each day for 5 days. Then the student ran a distance of 4 and 1 over 4 miles each day for the next 5 days.
What was the total distance in miles the student ran during these 10 days?
23 mi
38 and 3 over 4 mi
42 and 1 over 2 mi
35 mi
Answer:
38.75 is the answer
Step-by-step explanation:
3 1/2 = 3.50 x 5 = 17.50
4 1/4 = 4.25 x 5 = 21.25
17.50 +
21.25 =
38.75
Write an example of a binomial with a degree of 3
Answer:
5x^3 + 7
Step-by-step explanation:
So basically a binomial is when there are 2 terms
To a certain degree (it's 3 in this case) is when the variable is to that power.
For example: [tex]5x^{3} + 7[/tex]
This is the last one I just really need help I am slow
Answer:
B) 56
Step-by-step explanation:
There are 16 ounces in 1 pound, so first you must convert the 28 pounds to ounces. You do this by multiplying 28 and 16.
28 × 16 = 448
Next, divide 448 by 8 to find out how many servings there are.
448 ÷ 8 = 56
WILL GIVE BRAINLIEST
Which statement is TRUE about the results of the transformation?
A) Only corresponding sides of the triangles are congruent after the transformation.
B) Only corresponding angles of the triangles are congruent after the transformation.
C) Both corresponding angles and corresponding sides are congruent after the transformation.
D) Neither corresponding sides or corresponding angles are congruent after the transformation.
Answer:
C Is the correct answer
I am not sure please check it out once
write each number in scientific notation 1) 660000 2) 0.00365 3)0.009 4) 810
Answer:
1) 6.6 × 10^5 2) 3.65 × 10^-3 3) 9 × 10^-3 4) 8.1 × 10^2
Step-by-step explanation:
I think that's what it is.
An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. The yard has 3 sprinkler heads that each cover a circular area with no overlap. What is the approximate total area that will be watered? 1963. 5 ft 1963. 5 ft² 5890. 5 ft 5890. 5 ft².
Answer:
Option D. 5890.5 feet²
Step-by-step explanation:
An individual head of a sprinkler system covers a circular are of grass with a radius of 25 feet.
Yard has three sprinkler heads that each cover circular area with no overlap.
We have to calculate the approximate area watered by these 3 sprinkler heads.
Area covered by one sprinkler = π×r² = π×(25)² = 625π feet²
Therefore area covered by three sprinkler heads = 3 × 625π = 5892.85 feet²
which matches the approximate value of Option D. 5890.5 feet²
Identical lines through the sides of a triangle indicate that the sides are:.
When the sides are the same then the triangles are congruent.
Identical lines through the sides of a triangle indicate that the sides are congruent.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
Congruent triangles are two triangles that are identical in terms of size and shape. One of two congruent triangles remains congruent even if it is rotated, flipped, or turned. Two triangles must have the same sides in order for them to have the same angles and, as a result, to be congruent.
Thus, identical lines through the sides of a triangle indicate that the sides are congruent.
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Providing Brainliest for correct <333
Answer:
#1
Well lets solve the polynomial first.
(4p +3) ^2
That is basically
(4p + 3) (4p + 3)
And we’re trying to find the error in the “equal” solution.
16p^2 + 8p + 9.
So let’s solve the polynomial first
Following F.O.I.L
F- First
O- Outter
I- Inner
L- Last
So doing the equation in order.
4p * 4p = 16p^2
4p * 3 = 12p
3 * 4p = 12p
3* 3 = 9
Added it all up.
16p^2 + 12p + 12p + 9
Simplify.
16p^2 +24p +9
We can see that in this case the 8p is wrong.
So we replace 8p with 24p
In this case the last option.
Factoring #2
So we’re factoring
9x^2 -6x - 3
So how are we gonna do this.
So I’m just gonna go over the simple method.
The standard form of a quadratic is
Ax^2 + bx + c = 0
We don’t have to worry about the equal 0 part here for now.
ax^2 + bx + c
A being the number next to x^2
B is the number being next to x
C is the number that is next to nothing, jsut a plain whole number (sometimes whole number)
So let’s plug it in.
(It’s already plugged in so we can solve)
9x^2 - 6x - 3
Multiply a and c in ths case being, 9 and -3.
You’d get -27
We need two numbers that multiply to -27 and add up to -6
From here it’s guessing and checking.
Here’s my process.
trial 1
Since the sum is negative, it has to be negative + negative or positive + negative greater then the positive. Or vice versa but positive is less then negative.
But the product has to be -27,negative * negtaive is positive, so it has to be positive * negative and positive + negative.
I look at -27 and think of two numbers that would give the lowest.
-9 * 3
-9 * 3 = -27
-9 + 3 = -6
It looks like I got it already on the first try.
The numbers are -9 and 3
end of trial 1
So now I know that the numbers are -9 and 3.
Using that information I just plug it into the quadratic but replace it with b.
9x^2 -9x + 3x - 3
Now you can simplify this
In the end you’d get
3 (3x+1)(x-1)
You’d have the third option open to you
Figure out the second one using these strategies
Please help! Will give brainliest and lots of points
Answer:
b) [tex]4 \frac12[/tex] inches
3. a) [tex]2\frac{1}{8}[/tex] foot
Step-by-step explanation:
b) area of a rectangle = length × width
Given:
area = 15 3/10length = x + 3width = 3 2/5[tex]\implies 15\frac{3}{10}=(x+3) \times 3\frac25[/tex]
[tex]\implies \dfrac{15\times10+3}{10}=(x+3) \times \dfrac{3 \times 5+2}5[/tex]
[tex]\implies \dfrac{153}{10}=(x+3) \times \dfrac{17}5[/tex]
[tex]\implies \dfrac{153}{10} \div \dfrac{17}5=x+3[/tex]
[tex]\implies \dfrac{153}{10} \times \dfrac{5}{17}=x+3[/tex]
[tex]\implies \dfrac{765}{170} =x+3[/tex]
[tex]\implies \dfrac92=x+3[/tex]
[tex]\implies 9=2(x+3)[/tex]
[tex]\implies 9=2x+6[/tex]
[tex]\implies 2x=3[/tex]
[tex]\implies x=\dfrac32[/tex]
Therefore,
[tex]\textsf{length} = \dfrac32 + 3 = \dfrac92 = 4 \frac12[/tex]
Question 3a
Subtract the length of the picture from the length of the wall, then divide the answer by 2.
[tex]\implies (14\frac12-10\frac14) \div 2[/tex]
[tex]\implies \left(\dfrac{14 \times 2 +1}{2}-\dfrac{10\times4+1}{4}\right) \div 2[/tex]
[tex]\implies \left(\dfrac{29}{2}-\dfrac{41}{4}\right) \div 2[/tex]
[tex]\implies \dfrac{17}{4} \div 2[/tex]
[tex]\implies \dfrac{17}{4} \times \dfrac12[/tex]
[tex]\implies \dfrac{17}{8}[/tex]
[tex]\implies 2\frac{1}{8}[/tex]
The volume V of gas varies inversely to the pressure P. The volume of a gas is 200cm^3 under pressure of
32 Kg divided by cm^2
What will be its volume under pressure of 40 kg divided by cm^2?
Answer:
[tex]160cm {}^{3} [/tex]
Step-by-step explanation:
[tex]v = \frac{k}{p} \: \: were \: v = 200cm {}^{3} \: \: p = 32 \frac{kg}{cm {}^{3} } \\ 200 = \frac{k}{p} \: \\ k = 200 \times 32 \\ k = 6400 \\ equation \: connecting \: vand \: p \\ v = \frac{6400}{p} \\ when \: p = 40kg \\ v = \frac{6400}{40} \\ v = 160cm {}^{3} [/tex]
Beth, brad and Ben picked 1 1/2 gallon of blackberries and divided them evenly among themselves. How many gallons of black berries did each get?
Answer:
The answer is 1/2
Step-by-step explanation:
hope this helps
Given graphs of f, g, and h, which function (g or h) is an inverse function of function f?
h
it's f but reflected diagonally
please hurry!!! find the measure of E
Traingle DEF is isosceles
DE=FDSo
<F=<EHence
<E=55°Hurry please
y = -2/3x + 2
y = 3/2x + 9
These lines are...
1.Perpendicular
2.Parallel
3.Neither
The slopes -2/3 and 3/2 multiply to -1, which is sufficient info that the lines are perpendicular. Perpendicular slopes always multiply to -1 assuming neither line is vertical nor horizontal.
Note how -2/3 is the negative reciprocal of 3/2, and vice versa.
Answer:
perpendicular
perpendicular lines have slopes that are negative reciprocals of one another. if a slope of a line was 5, then the slope of a line perpendicular to it would be -1/5, for example.
After converting two mixed numbers to improper fractions, what is the next step to take in order to solve the equation: 3/2 x 7/3 =?
Next you should simplify your fractions with the GCF.
Next you should find a common denominator for your fractions.
Next you should clearly state your final answer.
Next you should multiply the numerators and denominators.
Answer:
Next you should multiply the numerators and denominators.
explanation:
i got 100% ;)
Answer:
Multiply The Numearters and Denomenators
Step-by-step explanation:
10. A coordinator at a local fundraiser has 14 volunteers to help out. There will be 3 volunteers working at the entrance door, 4 volunteers helping with the young children and 7 working at the tables with the fundraising activities.
a) In how many ways can the volunteers be assigned? [2]
b) Mary and Martha are new volunteers this year, so they should not be placed together. In how many ways can the volunteers be assigned so that Mary and Martha are not at the same station? [3]
The combination and permutations computed shows that the number of ways that the volunteers can be assigned is 120120.
How to calculate the combinationFrom the information given, the number of ways that the volunteers can be assigned will be:
= 14C3 × 11C4 × 7C7.
= (14 × 13 × 12)/6 × (11 × 10 × 9 × 8)/24
= 120120
Also, the number of ways that the volunteers can be assigned so that Mary and Martha are not at the same station will be:
= 12C1 × 11C4 × 7C7
= 12 × 330 × 1
= 3960
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4. Green Meadows makes three types of portable coolers. The company’s total fixed cost is 1,080,000. Selling prices, variable costs, and sales percentages of each type of cooler: Model X100: selling price – 8,800; variable cost – 7,600; sales mix – 30% Model X950: selling price – 14,800; variable cost – 12,000; sales mix – 50% Model X800: selling price – 24,000; variable cost – 20,000; sales mix – 20% Compute the: A) break-even point in units B) break-even point in pesos C) if the company has a target profit of 1M, compute the number of units of each type of cooler that must be sold
A) The computation of the break-even point in units for Green Meadows, which makes three types of portable coolers, can be determined using the following break-even formula:
= Fixed costs/Weighted contribution margin per unit
Model X100 Model X950 Model X800
= 3,000 units 771 units 1,350 units
(1,080,000/$360) (1,080,000/1,400) (1,080,000/800)
B) The computation of the break-even point in pesos for Green Meadows, which makes three types of portable coolers, can be determined using the following break-even formula:
= Fixed costs/Weighted contribution margin per unit
Model X100 Model X950 Model X800
= 240 million pesos 11,416,490 pesos 32,432,432 pesos
(1,080,000/0.45%) (1,080,000/9.46%) (1,080,000/3.33%)
C) If Green Meadows has a target profit of 1M, the number of units of each type of cooler that must be sold is determined using the following break-even formula:
= Fixed costs + Target Profit /Weighted contribution margin per unit
Model X100 Model X950 Model X800
= 5,778 units 1,486 units 2,600 units
(2,080,000/$360) (2,080,000/1,400) (2,080,000/800)
What is break-even analysis?The break-even analysis is an accounting technique used to determine the break-even point.
The break-even point shows the units or dollars that must be achieved so that the total revenue equals the total costs, both variable and fixed.
Data and Calculations:Fixed cost = 1,080,000 pesos
Model X100 Model X950 Model X800
Selling price 8,800 14,800 24,000
Variable cost 7,600 12,000 20,000
Contribution margin 1,200 2,800 4,000
Sales mix 30% 50% 20%
Weighted contribution
margin 360 1,400 800
Weighted contribution
margin ratio 0.45% 9.46% 3.33%
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At a basketball game, a vender sold a combined total of 172 sodas and hot dogs. The number of hot dogs sold was 46 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
Answer:
Let x = # of hot dogs sold
Let x + 31 = # of sodas sold
For the total, do: x + x + 31 = 173
2x + 31 = 173
-31 -31
2x = 142
Divide out both sides by 2; to get: x - 71
That gives us 71 hot dogs; and 71 + 31 = 102 sodas
To test this: 71 + 71 + 31 = 173
173 = 173 [Check]
Step-by-step explanation:
its above up there
Which is the graph of f(x) = 4(1/2)*?
Answer:
The second graph is the answer
based on the information in the two-way table, what is the probability that a person selected at random is a left-handed male?
Thirteen times the cost of one ticket
i've done 0.13 x 400 (52) then added 1.8 (53.8) onto the answer. Then i put 53.75. what did i do wrong?
Answer:
53.8 is correct
Step-by-step explanation:
Make sure you don't round down
67 = 4u — 9, simplify your answer as much as possible
Answer:
u=19
Step-by-step explanation:
4u-9=67 1. add 9 on both sides
4u = 76 divide 4 on both sides
4u/4 = 76/4
u = 19
Debra had 324 baseball cards. She got 439 more cards. How many cards does she have now?
Answer:763
Step-by-step explanation:
you add both numbers
Find the value of sin T rounded to the nearest hundredth, if necessary.
Answer:
Step-by-step explanation:
Ayuda pls cuanto es 278x972
Answer:
270216 this the multiplication of the numbers you can also use a calculator
C
\qquad m \angle AOC
m∠AOC
m, angle, A, O, C
is a straight angle.
m
∠
A
O
B
=
8
x
+
5
1
∘
\qquad m \angle AOB = 8x + 51^\circ
m∠AOB=8x+51
∘
m, angle, A, O, B, equals, 8, x, plus, 51, degrees
m
∠
B
O
C
=
6
x
−
2
5
∘
\qquad m \angle BOC = 6x - 25^\circ
m∠BOC=6x−25
∘
m, angle, B, O, C, equals, 6, x, minus, 25, degrees
Find
m
∠
A
O
B
m\angle AOB
m∠AOB
m, angle, A, O, B
:
Answer:
m∠AOB=139°Step-by-step explanation:
m∠AOB+m∠BOC=180°
m∠AOB=8x+51°
m∠BOC=6x-25°
~
[tex]\tt 8x+51+6x-25=180[/tex]
[tex]\tt 14x+26=180[/tex]
[tex]\tt 14x=180-26[/tex]
[tex]\tt \cfrac{14x}{14} =\cfrac{154}{14}[/tex]
[tex]\tt x=11[/tex]
m∠AOB:-
[tex]\tt 8(11)+51[/tex]
[tex]\tt =88+51[/tex]
[tex]\tt =139^{o}[/tex]
Therefore, m∠AOB=139°
A triangle has angles that measure 30o, 60o, and 90o. The hypotenuse of the triangle measures 10 inches. Which is the best estimate for the perimeter of the triangle
Answer: 15+5sqrt(3)
Step-by-step explanation: