Given the fu8nction f(x) = 2(x + 10), find x if f(x) = 24. A) 68 B) 7 C) 17 D) 2

Consider the quadratic equation below. 4x^2-5=3x+4 Determine the correct set-up for solving the equation using the quadratic for

Kipish [7]

4x²-5=3x+4
4x²-3x-9=0

x=(3±√((-3)²-4*4*-9))/2*4

x=3±√(9+144) /8

x=(3±√153) /8

x=⅜±√153/8

4 0

3 years ago

You want to save $4,500 to buy an above-ground swimming pool. You deposit $3,750 in an account earning 5.5% simple interest. Aft

Arlecino [84]

Assuming the price of the pool does not change, then
Additional interest required is 4500-3750=750
using
I=Pit, we set up equation
750=3750*0.055*t
Solve for t
t=750/(3750*0.055)=3.64 years.
So will need to wait 3.64 years, or rounded up to 4 years.

8 0

3 years ago

The equation y=5+0.5x represents the cost of getting a car wash and using the vacuum for x minutes. What is the y-intercept?

adell [148]

5 is the y intercept.

-Always the number without the variable.

5 0

2 years ago

This question is down below. The picture attached below. Thanks.

Ostrovityanka [42]

The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Given an equation showing profits of A Christmas vendor as

P=-0.1 $g^{2}$ +30g-1200.

We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.

To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.

665.60=-0.1 $g^{2}$ +30g-1200

0.1 $g^{2}$ -30g+1200+665.60=0

0.1 $g^{2}$ -30g+1865.60=0

Divide the above equation by 0.1.

$g^{2}$ -300g+18656=0

Solving for g we get,

g=[300± $\sqrt{(300)^{2}-4*1*18656 }$ ]/2*1

g=[300± $\sqrt{90000-74624}]/2$

g=[300± $\sqrt{15376}$ ]/2

g=(300±124)/2

g=(300+124)/2 , g=(300-124)/2

g=424/2, g=176/2

g=212,88

Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.

Put the value of P=1500 in equation P=-0.1 $g^{2}$ +30g-1200.

-0.1 $g^{2}$ +30g-1200=1500

0.1 $g^{2}$ -30g+1500+1200=0

0.1 $g^{2}$ -30g+2700=0

Dividing equation by 0.1.

$g^{2}$ -300g+27000=0

Solving the equation for finding value of g.

g=[300± $\sqrt{300^{2} -4*1*27000}$ ]/2*1

=[300± $\sqrt{90000-108000}] /2$

=[300± $\sqrt{-18000}$ ]/2

Because $\sqrt{-18000}$ comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.

Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Learn more about equation at brainly.com/question/2972832

#SPJ1

7 0

2 years ago

Which is a y-intercept of the graphed function

dybincka [34]

Answer:

$\displaystyle (0, -9) \\ (0, -3)$

Step-by-step explanation:

There is no graph posted, but y-intercepts are x's are set equal to zero.

I am joyous to assist you anytime.

4 0

3 years ago