18) Find the sum of the odd integers between 104 and 60.

Answer:

A. a = -3 and b = 7.

B. x = -4 or x = 7.

Step-by-step explanation:

A)

f(0) = 0^2 + a(0) + b =  7

So b = 7.

f(-2) = (-2)^2- 2a + 7 = 17

4 - 2a = 17 - 7

4 - 2a = 10

-2a = 10 - 4 = 6

-2a = 6/-2

a = -3.

B)

Substituting a = -3 and b = 7 we get:-

x^2 - 3x + 7 = 35

x^2 - 3x - 28 = 0

(x - 7)(x + 4) = 0

x - 7 = 0 or x + 4 = 0

x = -4 or x = 7.

[tex]5(4x - 4) = 5(3x + 3) \\ \cancel5(4x - 4) = \cancel5(3x + 3) \\ (4x - 4) = (3x + 3) \\ 4x - 3x = 4 + 3 \\ x = 7[/tex]

Put the value of X in equation:-

LHS:-

[tex]5(4x - 4) = 5(4(7) - 4) \\ 5(28 - 4) \\ 5(24) = 120[/tex]

RHS:-

[tex]5(3x + 3) = 5(3(7) + 3) \\ 5(21 + 3) \\ 5(24) = 120[/tex]

LHS= RHS

Hence proved

Answer:

x = 7

Step-by-step explanation:

Divide by 5 on each side :

Add 4 on each side :

Subtract 3x from each side :

Answer:

Answer:

The answer is -3/2.

Step-by-step explanation:

Triangle MŇO is congruent to Triangle UŤS

NO=4

MN=4

MO=5.6( Which is 140% bigger than 4)

UT=10

TS=10(Therefore this also should be 10)

US=14(Which is 140% bigger than 10)

I think this is the solution but I am not 100% sure

Answer:

x=14

Step-by-step explanation:

Answer:

Shade 10 of the pieces.

Step-by-step explanation:

Answer:

0/5 1/5 2/5 3/5 4/5 5/5  hope this helps

Answer:

perimeter of pentagon is 5s

area of Pentagon is 1/2 P*a

Answer:

The next term of the sequence is represented by the point (5, –64)

Step-by-step explanation:

From inspection of the graph, the first four terms of the sequence are:

Each x-value increases by 1 for each consecutive term.

Each y-value is the previous y-value multiplied by -2.

Therefore, it is a geometric sequence with a common ratio of -2.

Following the above rule, if the last term in the sequence is (4, 32), then the next term in the sequence will be:

So, the next term of the sequence is represented by the point (5, –64)

Answer:

26 m

Step-by-step explanation:

Use pythag theorem

24^2 + 10^2  = d^2

d= 26 m

Answer:

[tex]29i[/tex]

Step-by-step explanation:

From this information, we can write the following equation: [tex](2-5i)(2 + 5i)(i)[/tex]

We can see that there is the factorization of the difference of squares, so we can first expand that. The equation will become the following: [tex](4+25)(i)[/tex]

= [tex]29i[/tex]

hope this helped! :)

The density become by the elemental composition of the person has will be 0.258 and hence, option (A) will be correct.

In science, density is defined as the ratio of an object's mass to volume. Technical and statistical density assessments are done using a technique. The theory is applicable to the laws of nature in sciences like physics, where the emphasis is on things and matter.

Because density affects so many aspects of life, comprehending it is crucial. Which cells will float high in the atmosphere and which will sink lower depends on density, according to physics.

Given that the element has

Volume = 16 cubic inch

weight = 4.13 pound

Since density = weight / volume

density = 4.13/16

density = 0.258 which is matching through option (A) hence it will be correct.

For more about density

https://brainly.com/question/15164682

#SPJ5

Answer:

10

Step-by-step explanation:

✓(y1-y2)²+(x1-x2)²

✓(2-8)²+(1-9)²

✓(-6)²+(-8)²

✓36+64

✓100

=10

Answer:

10

Step-by-step explanation:

Answer:

584

Step-by-step explanation:

8 + 8 squared + 8 cubed is 8 plus 64 plus 512 which is 584

Answer:

To the nearest 100 miles, Jessica drove about 300 miles since we haven't reached 350 miles.  If we have a number that is greater than 350 miles than we would've rounded it up to 400 but since ours is less than that we round down to the nearest hundred which is 300 miles.

The parts of the cone can be explained as;

A cone can be regarded as a three-dimensional shape which has a vertex at the top of it.

Considering a cone as described in the question, we could see that the distance from point A to B will gives us the height which is the vertical length.

Therefore, Vertex is at the top of the cone which is point A.

Learn more about cone at:

https://brainly.com/question/15946689

#SPJ4

Answer:

b

c

d

a

Step-by-step explanation:

;)

Answer:

b) [tex]f^{-1}(x) = \frac{4x+5}{3}[/tex]

Step-by-step explanation:

b) To find the inverse function, switch the [tex]x[/tex] and [tex]y[/tex] variables and solve for [tex]y[/tex]:

[tex]f(x) = \frac{3x-5}{4}\\y = \frac{3x-5}{4}\\x = \frac{3y-5}{4}\\4x = 3y-5\\4x+5 = 3y\\\frac{4x+5}{3} = y\\f^{-1}(x) = \frac{4x+5}{3}[/tex]

Verify Answer:

[tex]f(1) = \frac{3(1)-5}{4} = -0.5\\f^{-1}(-0.5) = \frac{4(-0.5)+5}{3} = 1[/tex]

Answer:

The value of x = 3 or -1/2

Step-by-step explanation:

2x²-5x-3=0

=> 2x² - 6x + x - 3 =0

=> 2x ( x - 3) + 1 ( x -3) =0

=> (2x+1) ( x-3) =0

x = 3 or x = -1/2

Answer:

1133.3 liters of water after leakage.

Step-by-step explanation:

x*.30=340

x=340/.30

x=1133.33

Apply Pythagorean theorem

Answer:

Step-by-step explanation:

4 (x + 2) =30

4x + 8 = 30

4x = 30 - 8

4x = 22

x = 22 : 4

x = 5.5

check

(5.5 + 2) * 4 = 30

the answer is good

Answer:

the cost of each sandwich is 5.5

Step-by-step explanation:

we have,

4(x+2) = 30

we know a(b+c) = ab+ac

so, when we open the bracket we get,

4(x+2) = 4x+4*2 which is equal to 4x+8

so, 4x+8 = 30

=>   4x = 30 - 8         [transposing method]

=>   4x = 22

=>   x = 22/4

=>   x = 5.5

hope this helps

Answer:

the answer is b you have it right

Step-by-step explanation:

your welcome

Answer:

7 Centimeters

Step-by-step explanation:

Check the picture below.

[tex](s)(s)=144\implies s^2=144\implies s=\sqrt{144}\implies s=12 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{volume of the cube}}{(s)(s)(s)\implies s^3}\implies 12^3\implies 1728~in^3[/tex]

Answer:

1728 in³

Step-by-step explanation:

Given that,

→ Area = 144 sq in

Then the length will be,

→ a² = 144

→ a = √144

→ [ a = 12 ]

Formula we use,

→ V = a³

Now required volume will be,

→ a³ = 12³

→ 12 × 12 × 12

→ 1728 in³

Hence, the volume is 1728 in³.

Answer:

It's AAS congruent theorem.

Answer:

[tex]\huge\boxed{\sf AAS\ postulate}[/tex]

Step-by-step explanation:

The two triangles have:

So, 2 angles and 1 side congruency makes it AAS postulate (Angle-Angle-Side).

[tex]\rule[225]{225}{2}[/tex]

By taking the product between density and volume we will see that the mass is 284.2 kg

Remember that density is the quotient between mass and volume, then:

mass = density*volume.

Here we know that:

Taking the product of these two we get:

mass = (1,592 m³)*(0.1785 kg/m³) = 284.2 kg

So the correct option is the second one.

If you want to learn more about density.

https://brainly.com/question/1354972

#SPJ4

Answer:

284.2 kg my good sir

Step-by-step explanation:

Big brain

Calculating wattage is a quick process once you know the appliance's amperage and voltage — you simply multiply the two figures. An appliance that uses 110 volts of electricity and 5 amps uses 550 watts.

Hope this helps!