Which equation could generate the curve in the graph below?


y = 9x2 + 6x + 4
y = 6x2 – 12x – 6
y = 3x2 + 7x + 5
y = 2x2 + 8x + 8

Answer:

2  

Step-by-step explanation:

8.904x < 18.037     Divide each side by 8.904

         x < 2.026

The largest integer that satisfies the inequality is 2.

Answer:

4) 80 5) 96 6) 50 7) 28 8) 17 9) 14 10) 58

Step-by-step explanation:

4) 41+39 5) 28+32+46 6) 13+37 7) 45-17 8) 39-22 9) 31-17 10) 18+40

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The given ratio is [tex]\frac{18}{27}[/tex]

9 is the common factor of 18 and 27

divide numerator and denominator by 9

[tex]\frac{18/9}{27/9} =\frac{2}{3}[/tex]

hence [tex]\frac{2}{3}[/tex] is proportion with [tex]\frac{18}{27}[/tex]

if the ∡E = ∡F = 90°, that means for that quadrilateral of BEGF, the other angles are ∡B = ∡G = 90°, which means is a square, meaning all its sides are equal, therefore

[tex]\bf y + 5 = 3y\implies 5=2y\implies \cfrac{5}{2}=y\implies 2\frac{1}{2}=y[/tex]

Answer: the answer is 6ft

Step-by-step explanation:

3 times 1 times 2 = 6ft

Number of gallons of water would it take to fill the tank two-thirds full is,

⇒ 30 gallons

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

An aquarium tank is 3 feet long, 1 foot wide, and 2 feet high.

Hence, Volume of tank is,

⇒ V = 3 x 1 x 2

⇒ V = 6 feet³

Hence, Number of gallons of water would it take to fill the tank two-thirds full is,

⇒ 2/3 of 6

⇒ 4 feet³

⇒ 4 × 7.5

⇒ 30 gallons

Thus, Number of gallons of water would it take to fill the tank two-thirds full is,

⇒ 30 gallons

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Answer:

20 hours

hope it helps

Step-by-step explanation:

total earnings was $240 but to find how much he made working you first have to deduct the $80 bonus  

240 - 80 = 160

so he made $160 working now to find out how many hours worked you have to divide by 8 because he got paid $8.00 an hour

160 ÷ 8 = 20

Answer:

20hrs

Step-by-step explanation:

We need to find out how many hours she worked last week.

The bonus added $80 to the money she got from her hours worked so lets take that away:

240-80=160

Since she gets $8/hr  we should divide 160 by 8

160÷8=20

Answer: For the value of w=4, [tex]14=11+\frac{w}{8}\times 6[/tex] is a true statement.

Step-by-step explanation:

Since, the given expression,

[tex]14=11+\frac{w}{8}\times 6[/tex]

=  [tex]14=11+\frac{6w}{8}[/tex]

=  [tex]14=11+\frac{3w}{4}[/tex]

= [tex]3=\frac{3w}{4}[/tex] ( by subtraction property of equality)

⇒ [tex]=\frac{w}{4}[/tex] ( By division property of equality)

⇒ w=4 ( By multiplication property of equality)

Answer:

w=4

Step-by-step explanation:

Answer: 5h represents the number of hours Rob actually spent on the project.

Step-by-step explanation:

Let Rob planned that he will spend x hours in his project.

According to the question,

He spent 25% more time on his project than he planned.

That is,  his actual time = x + 25% of x = 125% of x

Again according to the question,

He spent an extra h hours on his project.

That is,  25% of x = h

[tex]\frac{25\times x}{100} = h[/tex]

[tex]x=\frac{100h}{25}[/tex]

x = 4h

Thus,  his actual time = 125% of x = 125% of 4h = [tex]\frac{125\times 4h}{100}[/tex] = 5h

Which is the required expression.

Answer:

5h and (h/0.25)1.25

Step-by-step explanation:

This means he planned to spend \dfrac{\maroonD{h}}{\greenD{25\%}}\cdot100\%  

25%

h

​  ⋅100%start fraction, start color maroonD, h, end color maroonD, divided by, start color greenD, 25, percent, end color greenD, end fraction, dot, 100, percent hours on the research project.

Hint #33 / 6

Because 25\%25%25, percent means 252525 per hundred, we can write it in equivalent forms.

\begin{aligned} 25\%&=\dfrac{25}{100}\\\\ &=0.25 \end{aligned}  

25%

​    

=  

100

25

​  

=0.25

​

Answer:

<

Step-by-step explanation:

2*18-18=18

2*[28-3*(2+4)] = 20

18<20

Answer:

symbol is <

Step-by-step explanation:

evaluate the left and right sides for comparison

left = (2 × 18 ) - 18 = 36 - 18 = 18

right = 2[28 - (3 × 6) ] = 2[28 - 18] = 2 × 10 = 20

18 < 20

hence replace ? with <

Answer:

C) -8.4

Step-by-step explanation:

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

Divide <

10.8 / 0.6

= 18

Subtract <

9.6 - 18

= -8.4

- I.A -

Answer:

its C) -8.4

Hope this helps! :)

Answer:

XY = 6 in

Step-by-step explanation:

XZ = 2ft = 24 in.

XY + YZ = 24 in.

XY + 18 in. = 24 in.

XY = 24 - 18 = 6 in

Answer: 252 feet tall

Step-by-step explanation:

1) make a proportion

x/18=140/10

2)solve

10x=140*18

x=140*18/10

x=14*18

x=252

3) Answer

The building is 252 feet tall

Answer:

D

Step-by-step explanation:

note that the values in the domain map to the values in the domain as

- 1 → 2 ( that is 1 + 3 = 2 )

3 → 6 ( that is 3 + 3 = 6 )

5 → 8 ( that is 5 + 3 = 8 )

In each case 3 is added to the value in the domain(x) to obtain the value in the range ( y = f(x) )

Hence f(x) = x + 3 → D

Answer: No of Small Dogs = 13 and,

               No of Large Dogs = 9

Step-by-step explanation:

Let us assume,

Small dogs = x and Large dogs = y

The total number of dogs is 22

So the first equation is  x + y = 22

Total grooming sales = $1234

Cost to groom small dogs ( x ) = $43

Cost to groom large dogs ( y ) = $75

So the second equation is will be,

(43 × small dogs) + (75 × Large dogs) = $1234

i.e., 43x + 75y = 1234

To find the value of y, multiply the equation 1 with 43

i.e., 43x + 43y = 946

Now compare and subtract the above equation from equation 2

43x + 75y = 1234

43x + 43y = 946

         32y = 288

             y = 288 ÷ 32

             y = 9

Put the value of y in any equation to find the value of x

Putting the value of y = 9 in equation 1

x + y = 22

x + 9 = 22

x = 22 - 9

x = 13

Therefore, Small dogs = 13

                  Large dogs = 9

The problem is about setting up and solving a system of linear equations representing the number and cost of grooming small and large dogs. You should end up with two equations: x + y = 22 and 43x + 75y = 1234. They can be solved using methods like substitution, elimination, or matrix method.

This question involves setting up and solving a system of linear equations. Let's denote the number of small dogs as x and the number of large dogs as y. The total number of dogs is 22, so we can write the first equation as x + y = 22. The total amount charged is $1,234, so the second equation, considering the cost of grooming each small and large dog, is 43x + 75y = 1234.

Now you need to solve this system of equations to determine the number of each type of dog. This can be done using various methods such as substitution, elimination, or matrix methods.

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Answer:

-2, 2

Step-by-step explanation:

they are both the same distance from zero but one is positive and one is negative

Answer:

3- and 3+

Step-by-step explanation:

Basically just have your positive number and have the same number but just it being negative.

Answer:

70°

Step-by-step explanation:

x = [tex]cos^{-1}[/tex]([tex]\frac{3.4}{10}[/tex]) ≈ 70°

Answer:

<BAC= 70 degrees.

Step-by-step explanation:

The given equation to find angle BAC that is x is :

x=[tex]cos^{-1} \frac{3.4}{10}[/tex]

Or ,[tex]x=cos^{-1} 0.34[/tex]

Using calculator to find the arc of cosine0.34 we have :

x=70.1231

This when rounded to nearest whole degree is 70 degrees.

<BAC= 70 degrees.

Answer:

going from smaller to larger or less to greater

Answer:

Opposite angles of a parallelogram are congruent.

Step-by-step explanation:

Given:

KLMN is a parallelogram.

KN ║ LM and KL ║MN.

To prove:

∠N ≅ ∠L

∠M ≅ ∠K

Proof:

∠N ≅ ∠L since the opposite angles of a parallelogram are congruent.

∠M ≅ ∠K since the opposite angles of a parallelogram are congruent.

Answer: Parallelogram KLMN Given

KL¯¯¯¯¯∥NM¯¯¯¯¯¯¯ and Kn---------llLM Definition of parallelogram

m∠K+m∠N=180°

m∠L+m∠M=180°

m∠K+m∠L=180° Same-Side Interior Angles Theorem

m∠K+m∠N=m∠K+m∠L

m∠L+m∠M=m∠K+m∠L Substitution Property of Equality

m∠N=m∠L

m∠M=m∠K Subtraction Property of Equality

∠N≅∠L

and ∠M≅∠K

Angle Congruence Postulate

Step-by-step explanation:

I took the test and got a 100

Answer:

v = 9

Step-by-step explanation:

Use the method of cross- multiplying

[tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] ⇒ ad = bc

8v = 12 × 6

8v = 72 ( divide both sides by 8 )

v = 9

Answer:

[tex]v=9[/tex]

Step-by-step explanation:

The given equation is

[tex]\frac{v}{12}=\frac{6}{8}[/tex].

We multiply both sides of the equation by 12 to obtain,

[tex]12\times \frac{v}{12}=\frac{6}{8}\times 12[/tex].

This implies that;

[tex]v=\frac{3}{4} \times 12[/tex]

This gives

[tex]v=\frac{3}{1} \times 3[/tex]

[tex]v=3\times 3[/tex]

[tex]v=9[/tex]

Answer:

Step-by-step explanation:

x=20 or y=20/x

Answer:

-1, 2, 0.5, 0.5

Step-by-step explanation:

[tex]4x^4 - 8x^3 - 3x^2 + 7x - 2[/tex]

Using synthetic division for x=-1 we find that

-1             4    -8      -3    7   -2

                    -4       12   -9    2

-----------------------------------------------

              4     -12    9     -2    0

----------------------------------------------

Thus quotient is [tex]4x^3 - 12x2 + 9x - 2[/tex]

Again try synthetic division by x-2

2            4    -12    9    -2

                      8   -8     2

-----------------------------------

             4   -4      1       0

--------------------------------------

Thus quotient is [tex]4x^2-4x+1\\=(2x-1)^2[/tex]

Hence zeroes of the polynomial f(x) are

-1, 2, 0.5, 0.5

Answer:

Second half of the question:  Based on the synthetic division shown, 1/2 is DEFINITELY A ROOT of the polynomial.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since AB = AC = 8 then the triangle is isosceles and

∠C = ∠B = 30° ( base angles of an isosceles triangle )

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the base angles from 180, hence

∠A = 180° - (30 + 30)° = 180° - 60° = 120° → B

Answer:

l = 2 1/2 ft

Step-by-step explanation:

The formula for A is l*w for a rectangular length

A= lw

Putting in what we know

8 1/2 = l * 3 2/5

I will change mixed numbers to improper fractions

8 1/2 = (2*8+1)/2 = 17/2

3 2/5 = (5*3+2)/5 = 17/5

17/2 = l*17/5

Multiply both sides by 5/17 to isolate l

5/17* 17/2 = l* 17/5 * 5/17

5/2 = l

Changing this back to a mixed number

2 1/2 = l

Answer:

B. 14

Step-by-step explanation:

The sum of infinite geometric series is given by

[tex]\frac{a}{1-r}[/tex]

0.126126126... = [tex]\frac{126}{1000}+\frac{126}{1000000}+\frac{126}{1000000000}[/tex]

Here a =126/1000, r= 1/1000

0.126126126... = [tex]\frac{126/1000}{1-1/1000}[/tex] =126/999 = 14/111

∴ 0.126126126... = 14/111

So, the numerator of the reduced fraction is 14.

Answer:

B. 14

Step-by-step explanation:

Answer:

He can spend a maximum of $60 per chair.

Step-by-step explanation:

360 / 6 = $60 per chair

[tex]\frac{422}{8}=52.75mph[/tex]

A.

[tex]average=\dfrac{distance}{time}\\\\\text{We have}\\\\distance=422\ miles\\\\time=8\ hours.\\\\\text{Substitute:}\\\\\boxed{x=\dfrac{422\ miles}{8\ hours}=52.75\ mph}[/tex]

It's going to be 7/10