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The function f is defined by f(x)=x^2+3x-10 If f(x+5)=x^2+kx+30,

k= Find the smallest zero of f(x+5),

x= By definition, the zero of a polynomial function is a number a such that f(a)=0.

For quadratic equation, the zeros can be found on equalizing f to 0. First, f(x+5)=(x+5)²+3(x+5)-10=x²+10x+25+3x+15-10=x²+13x+30,

and it is told that If f(x+5)=x^2+kx+30 = x²+13x+30,

it implies k=13, so let’s find the zeros. x²+13x+30=0 is to solve: D= 13²-4x1x30=169-120=49, sqrt49=7,

so x=-13-7 / 2=-20/2 = -10, and x= -13+7/ 2 = -6 /2= -3. Obviously, we know that -10< -3, so the smallest zero is -10.

Answer:

32?

Step-by-step explanation:

Answer: I believe it is 670 sq. ft.

Step-by-step explanation:

Someone correct me if I'm wrong. I feel as though this is wrong.

Answer:

[tex]Ratio = 3: 2[/tex]

Step-by-step explanation:

Given

Shape: Cube

[tex]L = 8cm[/tex]

The surface area is calculated as:

[tex]Area = 6*L^2[/tex]

[tex]A_1 = 6*8^2[/tex]

[tex]A_1 = 384[/tex]

When it is cut by half; the length is affected; so, it forms a cuboid of the following dimension:

[tex]L = \frac{8}{2} = 4[/tex] --- Length

[tex]W = 8cm[/tex] --- Width

[tex]H = 8cm[/tex] --- Height

The surface area is:

[tex]Area = 2 *(L*W + H * L + W * H)[/tex]

[tex]A_2 = 2 *(4*8 + 8 *4 + 8 * 8)[/tex]

[tex]A_2 = 2 *128[/tex]

[tex]A_2 = 256[/tex]

So, the ratio of surface area is:

[tex]Ratio = A_1 : A_2[/tex]

[tex]Ratio = 384 : 256[/tex]

Divide by 128

[tex]Ratio = 384/128 : 256/128[/tex]

[tex]Ratio = 3: 2[/tex]

25 gallons of gas cost 50 dollars shows the rate of 25 gallons of gas.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

For the rate we need to focus of Price of any Quantity.

In First, A cake recipe needs 3 cups of flour and 2 there is only amount.

Second,  There are 25 girls and 24 boys in the eighth grade there is only amount.

third, Out of 25 dogs, 4 are Great Danes there is only amount.

and, 25 gallons of gas cost 50 dollars shows the rate of 25 gallons of gas.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

2.345×0.023

2.345..........3 decimal point

0.023........3 decimal point

    2345

×       23               1.    first we change it whole number for multiply.

····················          2.count the decimal point.here  6 decimal points are there.

+ 7 0 3  5          3.we got the answer 53935.here only 5 digits are there.

4 6 9 0 0         4.now we add one zero backside  053935

····························5 . final answer is   0.053935

 5  3  9  3   5

···························

answer is =0.053935

Step-by-step explanation:

9514 1404 393

Answer:

  (c)  180 cm²

Step-by-step explanation:

Maybe you want the area of the trapezoid. That is given by the formula ...

  A = (1/2)(b1 +b2)h

where b1 and b2 are the base lengths, and h is the height.

Here, the top base is marked 16 cm, and the bottom base is shown as 4 cm longer, so is 20 cm.

  A = (1/2)(16 cm +20 cm)(10 cm) = 180 cm²

Answer:

The Salesperson age after performing each of the correlation and regression analyses in the prior questions shows that:

Even if a correlation is substantial, you don't know for sure until you measure it in a regression model with several other relevant variables.

Step-by-step explanation:

The simple difference between correlation and causation is that a correlation measures the linear relationship between two variables, while causation is a statistical measure that establishes that one event or variable is the cause of another event or variable.  With correlation established, one needs to study the strength of the relationship through a regression analysis before concluding on how one variable affects another variable.

Answer:

7

Step-by-step explanation:

Everything including 1/2 and above rounds up to the next whole number.

3/8 < 4/8

7 and 3/8 rounds to 7

Answer:

Perimeter:

18+4x+12+5x

=30+9x

Part B:

30+9(2)

=30+18

=48

Answer:

Part A: 30 + 9x

Part B: 48

Step-by-step explanation:

Part A:

18 + 5x + 4(x + 3)

Use distributive property

18 + 5x + 4x + 12

Combine like terms

30 + 9x

Part B:

x = 2

30 + 9(2)

Use PEMDAS

30 + 18

48

Answer:

We reject the null hypothesis, and accept the alternative hypothesis.

So, it means that the machine is under filling the bags

Step-by-step explanation:

Given

Null Hypothesis

[tex]H_0:\mu = 419[/tex] --- works correctly at 419g

Alternate Hypothesis

[tex]H_0:\mu < 419[/tex] --- under fills the bag

[tex]n =15[/tex] --- the sample

[tex]\bar x = 409[/tex] --- the mean

[tex]\sigma = 22[/tex] --- the standard deviation

[tex]\alpha = 0.05[/tex] --- the significance level

Required

What is the decision rule

Since n is less than 30, we make use of t test

[tex]t = \frac{\bar x - \mu}{\sigma/\sqrt n}[/tex]

[tex]t = \frac{409 - 419}{22/\sqrt{15}}[/tex]

[tex]t = \frac{-10}{22/ 3.87}[/tex]

[tex]t = \frac{-10}{5.58}[/tex]

[tex]t = -1.792[/tex]

Calculate df

[tex]df = n-1[/tex]

[tex]df = 15-1[/tex]

[tex]df = 14[/tex]

Calculate the p value from the Student's t-distribution  at df = 14 and [tex]t = -1.792[/tex]

[tex]p =0.047[/tex]  

Given that: [tex]\alpha = 0.05[/tex]

Since [tex]p < \alpha[/tex]

So, it means that the machine is under filling the bags

Answer:

Apply formula, Calculate and solve

Step-by-step explanation:

formula for triangle = ½bh²

area of circle = πr² here r = radius = diameter/2

Hope it helped

Answer:

The circle has a greater area than the triangle.

Step-by-step explanation:

Area of a triangle:

Area of a circle:

We are given the base and the height of the triangle, 50 ft and 50 ft respectively.

Substitute these values into the formula for the area of a triangle.

The area of the triangle with a base of 50 ft and a height of 50 ft is 1250 ft².

We are given the diameter of the circle, 50 ft. We need the radius of this circle, so we can divide the diameter by 2 to get r = 25 ft.

Substitute this value for r into the formula for the area of a circle.

The area of the circle with a radius of 25 ft is 1963 ft².

Therefore, the circle has a greater area compared to the triangle.

Answer:

all it says is the link

Step-by-step explanation:

Answer:

80in²

Step-by-step explanation:

Hey There!

So the first step of this problem is to find the width of the scale drawing

To do so we need to find the scale factor

To find the scale factor we divide the length of the room by the length of the scale factor

32/8=4

so the scale factor is 4

now to find the width

40/4=10

so the width of the scale drawing is 10 in

now we can find the area given the length and the width

10x8=80in²

so we can conclude that the area of the scale drawing is 80in²

Answer:

3 cm

Step-by-step explanation

1800 /30·20=3cm

Answer:

A,B

Step-by-step explanation:

A.

10+10+10+10+10+1+1=52

B.

20+20+10+1+1=52

Answer:

C

Step-by-step explanation:

simple process of elimination

Answer:

7. B

Step-by-step explanation:

Answer:

760 inches squared

Step-by-step explanation:

surface area -

4(14 x 10) + 2( 10 x 10) = 560+200=760

Answer:

B

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

rectangle area:

3×13

=39cm²

triangle area:

7×10 / 2

70/2

=35cm²

total area:

35+39

=74cm²

Answer:

Times 30 with every time

Step-by-step explanation:

Answer: 45 miles per hour

Step-by-step explanation:

Answer: if you are trying to find the hourly rate it's 45/hr. If your looking for minute rate it's .75/min. If you are looking for seconds rate it's .0125/sec

Step-by-step explanation: divide 135 by 3 for hourly rate. Divide 45 by 60 for minute rate. Divide .75 by 60 to to get seconds rate.

Answer:

9.65606

Step-by-step explanation:

Answer:

C, 140

Step-by-step explanation:

I'm actually learning about this in class right now. The formula for volume is area of base x height/length. To find the area of the base, do 10 x 2 = 20. The height/length is already labeled as 7. Now we do 20 x 7 = 140. Therefore, the volume of this rectangular prism is 140.

Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D

Answer:

y = 25

Step-by-step explanation:

Hey There!

The angle labeled x is supplementary to the angle that is equal to 115 meaning that the sum of the two angles will add up to equal 180

so to find x we subtract 115 from 180

180-115=65 so x = 65

Now we can find y

remember the sum of the triangles angles add up to equal 180

so we subtract the given angles(90 and 65) from 180

180-90-65=25

so y = 25

Answer:

Nxnjsjdndkknnndnnnenndnnd

Answer:

85

Step-by-step explanation:

If you subtract 415 from 500 you get 85.

Therefore the gardening club needs 85$

If you could mark brailiest that would be great, I'm trying to rank up.

Hope I helped:)

HAve a great day:)